Course Listing

Department elective offered as per the Chemical Engineering curriculum.

Department elective offered as per the Chemical Engineering curriculum.

Department elective offered as per the Chemical Engineering curriculum.

Department elective offered as per the Chemical Engineering curriculum.

Department elective offered as per the Chemical Engineering curriculum.

Department elective offered as per the Chemical Engineering curriculum.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

Compulsory course as per the B.Tech/M.Tech curriculum requirements.

This course is intended to present an overview of chemical engineering which is essentially a blueprint of the discipline, covering material balances, fluid flows, mass and heat transfer, reactor design, materials, process control and engineering economics.

Random Walk, Brownian Motion, Fluctuation Dissipation Theorem, Langevin Equation; Equipartition Theorem & Related Aspects; Kinetic Theory of Gas; Osmosis, Osmotic Pressure and Calculations; Scattering Fundamentals

Microfluidic chips for 2D and 3D cultures, Transport models, Controlled Microenvironment, POC diagnostic toolkits, Diagnostics – fabrication, application protocols, Commercial devices

Introduction: Basics of random process, random sampling, probability density functions, Gamma /Weibull/lognormal distributions, computation of expectation, joint probability distributions, Statistical modeling: Expectation maximization, maximum likelihood, parameter estimation using MLE, Estimator for relative quality of statistical modeling, gaussian mixture model, Akaike information criterion, distance between two probability distributions, computation of KS distance, model ranking and model selection. Monte Carlo method: MC simulation using various probability density functions, numerical schemes for embedding statistical processes in system of non-linear ODEs, examples from chemical/biological processes. Computation of distance between data: types of distances, distance matrix, covariance matrix, correlation matrix, time series data, autocorrelation, cross-correlation.

Overview of electrode processes. Thermodynamics: Chemical Potential and Electrochemical Potential, Nernst equation. Electrode Kinetics: Heterogenous electrode reactions, Models for electrode kinetics. Potential step methods. Potential sweep methods: Cyclic voltammetry. Electrochemical Impedance Spectroscopy. Applications to fuel cells and batteries.

Physics of miniaturization – forces and scaling laws, Hydrodynamics in microsystems (surface tension, inertial effect, capillarity, drops-bubbles), Mixing – (diffusive, Taylor dispersion, chaotic advection), Multi-phase systems (droplets), devices and applications

Factorial Experiments, Full Factorial Designs, Blocking and Confounding in Factorial Designs, Fractional Factorial Designs, Introduction to Multivariate Analysis

Basic definitions, Data presentation, Numerical summary measures Probability recap, Some discrete probability distributions, Normal/Gaussian distribution and z-scores, Sampling distribution of the mean, Confidence intervals, t-test, Hypothesis testing, Comparison of means and variances, One-way and two-way analysis of variance (ANOVA) and associated designs.

Introduction, Catalytic cycle and Sabatier Principle, Potential Energy Surface, Introduction to Density Functional Theory, D-band theory, Chemical Kinetics, Introduction to Vienna Ab-initio Simulation Package (VASP), EXAFS and XANES, Ab-initio Thermodynamics, Electrocatalysis

Introduction to Supervised and Unsupervised Machine Learning, Multi-layered Perceptron (MLP) Neural Networks, Optimization methods for training MLPs, Regularization, ANN Surrogate assisted Optimization, Recurrent Neural Networks (RNNs), System Identification of dynamical systems using RNNs, Hyper-parameter optimization.

Probability density function, analysis of variance: One way and Two-way ANOVA, Non-parametric testing, correlation, regression, computation of distances, clustering and validation, introduction to principal component analysis

History of Catalysis and Its Industrial Applications; Adsorption processes: Physical, chemical and dissociative adsorption; Desorption process; Kinetics and mechanism of catalytic reactions; Transport processes in catalysis: Mass and heat transfer in catalysis; Types of catalytic material and brief overview of their synthesis procedure; Poisoning, promotion, Deactivation and Selectivity of catalysts; Catalyst surface characterization: Physical and Chemical methods; Case Studies of Catalytic Applications.

Applying the intermolecular forces to the surfaces and geometries, DLVO forces, Polymer Forces, Self Assembly

Mechanics & Human Health, Preliminaries, Anatomy & Physiology of Cardiovascular system, Preliminaries of Continuum Mechanics, Problems & solutions in cardiovascular mechanics

This course introduces advance biochemical engineering aspects in terms of mathematical modelling and simulation for cell growth and enzyme kinetics. Cell free and Immobilization kinetics; screening, isolation and identification of fungal and bacterial organisms. Problem solving on diffusion limitation, rate limiting for porous and non-porous material, effectiveness factor for intra particle diffusion, oxygen transfer rates and volumetric mass transfer rates. Comparison studies on submerged and solid state fermentation bioreactors i.e. batch, continuous, chemostat recycle and fed batch studies. Recombinant monoclonal technology and marine-derived biomaterial application.

Principles of drug delivery (diffusion, barriers, permeability, availability, effective dose); design of vehicles (matrix & reservoir systems); polymer-drug formulations; approaches for site-specific and targeted drug delivery; challenges in the delivery of sensitive biomolecules; routes of administration; introduction to pharmacokinetics and ADMET analysis.

Mathematical representation of biochemical system in time and space, Simulation of spatio-temporal dynamics of intra-cellular molecules and physiological activities (MATLAB), Examples from cell growth, cell death, bacterial infection and cell migration, Biological signals and systems, Overview of system properties, Ultra sensitivity, Amplification, Oscillations, Network model formulation and motifs, Introduction to disease models.

Overview of petroleum refinery and petrochemicals, Scenario of energy and chemicals and need for renewable feedstock; introduction and overview of bio-refinery, fuels and chemicals from vegetable oils; bio-alcohol as feedstock for fuels and chemicals; synthesis gas from biomass, overview of gasification, pyrolysis, and reforming; fuels and chemicals from synthesis gas; fuels and chemicals from biomass.

Fuel Cell Technology

It covers basics of renewable/non-renewable and sustainable energy, global consumption of energies; includes different types of energy utilization. Advance of sustainable energy towards fossils; conventional energy resources; inexhaustible and environmental application.

Introduction to energy storage, power density vs. energy density, electrochemical energy storage including batteries, supercapacitors and fuel cells, chemical energy storage including hydrogen storage and biofuels, thermal energy storage including phase change materials and cryogenics, mechanical energy storage including flywheels and compressed gas, discussion of viable technologies for commercialization with emphasis on environmental impact, cost and efficiency, advantages, disadvantages and applicability of various technologies.

Overview of mineral processing in terms of separation methods for minerals; introduction, mineral processing overview, metals vs minerals; metallurgical accounting, mineral liberation, comminution and classification, dense medium separations, gravity separation, froth flotation.

Fundamentals of gas-solids fluidization, Application of fluidization-based processes in the industry, Regimes of fluidization, Geldart classification of solids, Minimum fluidization velocity, Bubbling fluidization, Hydrodynamics of the fluidized bed, Bubble coalscence models, Pressure profile along the fluidized bed reactor, Gas distribution to Fluidized beds, K-L flow model, Entrainment characteristics, Elutriation, Gas solids movements, Circulating fluidized bed (CFB) reactors, Fluidized reactor designs, Comparison of BFB, CFB and ICFB systems, Heat and mass transfer processes in fluidized beds, Overview of modern fluidized bed-based industrial processes.

Evaluation of thermodynamic properties using NASA polynomials; Calculation of equilibrium composition of a reacting mixture; Kinetics of gas-phase reactions; Kinetics of surface reactions; Adsorption isotherms; Development of governing equations for chemical reactors; solution of governing equations using numerical solvers.

Evaluation and characterization of crude oil: TBP and other distillation tests. Petroleum products, their properties, specification and testing different properties like flash point, fire point, smoke point, aniline point, carbon residue, kinematic viscosity, pour point, freezing point etc. Petroleum refinery distillation-pre- fractionation and atmospheric distillation of crude. Stabilization of naphtha. Vacuum distillation of RCO. Reforming of naphtha. Other secondary processes like Vis-breaking, FCC unit. Hydrotreatment processes in refining: hydro-desulfurization, hydro-finishing, Hydrocracking. Production of lube oil base stock.

Properties, design and applications of metals, ceramics, polymers, hydrogels; Mechanical testing of biomaterials; Viscoelasticity; Maxwell/Kelvin-Voigt models; Surface properties of biomaterials; Protein adsorption and isotherms; Cell-ECM interactions; Cell adhesion on biomaterials; Cell migration models; Inflammation and immune response

Basics of optimization, objective functions, constraints, principles of optimality, single and multi-objective optimization, Pareto optimality, nature inspired optimization techniques e.g. genetic algorithms, differential evolution, simulated annealing, ant colony optimization, artificial bee colony optimization, particle swarm optimization etc., comparison with classical methods, hands on using standard test functions and practical projects.

Evolution of soft computing techniques; Detailed discussion on components of soft computing e.g. Neural networks (NN), Support Vector Machines (SVM), Fuzzy logic (FL), Evolutionary computation (EC), Meta-heuristic and Swarm Intelligence; Formal implementation of soft computing techniques on real life data in the form of projects.

Physical aspects of Nanosciences, Introduction to Nanomaterials, Synthesis of Nanomaterials, Carbon Nanomaterials, Nanofabrication Methods, Characterization of Nanomaterials, Applications of Nanotechnology, Health, social, ethical concerns of nanotechnology.

Introduction to Soft Matter-Polymer, colloids, gels, surfactants and liquid crystals. Soft Matter Solutions - Thermodynamics and Phase transition. Elastic Soft Matter - Networks and Gels. Soft Matter Surfaces - Surface tension, wetting, surfactants, interaction between surfaces, polymer grafted surfaces. Liquid Crystals - structures and phase transitions. Soft Matter Dynamics - introduction to concepts.

Continuous-time martingales, construction of Weiener process (Brownian motion), Ito Integral w.r.t. Brownian motion, Ito formula and its applications, existence and uniqueness of solutions to SDEs, strong and weak solutions, linear SDEs, continuous time Kalman Filter, Markov processes, stochastic optimal control, HJB equations

Brief review of modern probability theory, continuous time stochastic processes, diffusion processes, Brownian motion, examples of SDE, solutions to SDEs, numerical methods for solutions.

Concepts of optimization, formulation of optimization problems, unconstrained optimization, necessary and sufficient conditions, convexity, single and multi-variable optimization, constrained optimization, KKT conditions, numerical optimization, one dimensional area elimination and interpolation based methods, multi-dimensional Newton's / Quasi - newton methods, evolutionary optimization, genetic algorithms, solving practical problems.

An overview of membrane separation process, membrane classification, chemistry, structure and characteristics and preparation; various membrane separations technology such as microfiltration, ultrafiltration, reverse osmosis, dialysis, electrodialysis, gas permeation, pervaporation, liquid membrane, and their applications in chemical, biotechnology, food, and biochemical industry.

Thermodynamics of Inter-molecular Forces; Variety of forces between the molecules (Ionic, Polar, Induced Polar, Dispersion and H-bonding); Calculations and analysis.

Introduction to mineral processing; Minerals & Mineralogy; Mineral circuits; Metallurgical Balances; Comminution theory and limitations; Models of comminution process; Rock breakage characterization; Grinding mills, designs & odelling; Classification; Dense medium separation; Gravity separations; Froth flotation.

Bias, Consistency of parameter estimates, Convergence of Random Variables, Analysis of the Least Squares Estimate, Best Linear Unbiased Estimate, Maximum Likelihood Estimator, Cramer-Rao Lower Bound Properties and Smoothing of ETFE, Weighting Functions Model Structures, Identifiability, Input Signals, Persistent Excitation, PRBS, Optimal Prediction, State Space Models, Kalman Filter, Theoretical Properties of Prediction Error Methods : Asymptotic distribution of parameter estimates, Instrumental Variable Methods and Analysis of Estimates, Recursive Identification, Identification in Closed Loop, Subspace Identification: Deterministic and Stochastic Systems, Identification in Continuous LTI systems, SRIVC, Generalized Smoothing Approaches.

Fundamentals of bioprocess engineering, Kinetics for growth and enzyme analysis. Process optimization through statistical techniques 2K, CCD, BBD, upstream development, fermentation and downstream technology by purification of biomolecules, large scale production of enzymes and by products. Solid state fermentation and Sub-merged fermentation process.

Linear Time Invariant systems, Sampling, Transfer Functions, Frequency Response, Periodograms, Signal Spectra, Basic Probability review: Random Variables, Expectation, Variance, Covariance, Independence, Conditional Expectation, Quasi stationary signals, Spectra for random signals Prediction, one-step ahead Prediction, Observers Models for LTI systems: Equation Error, ARMAX, Output Error, Box Jenkins, General Family of Model Structures, Linear Regression Nonparametric methods : Correlation Analysis, Frequency Response Analysis, ETFE, Spectral Analysis Introduction to Prediction Error Methods Basics of Compressive Sensing and Model Validation.

Definition of non-Newtonian behaviour, Examples & underlying mechanisms, Balance Equations, Flow problems and solutions for i) Single-phase non-Newtonian models, ii) Multi-phase non-Newtonian models (mixture theory & correlation-based), & iii) Particulate suspensions

Characterization of particles in liquids; Particle sizing techniques; Particle drag and settling rates; Rheology of slurries; Efficiency indices of separation of particles; Coagulation and flocculation; Gravity clarification & thickening; Classification by cyclones; Gravity separations; Separation by centrifugal methods; Filtration-fundamentals, cake washing, cake growth concepts; Pressure filtration; Vacuum filtration; Membrane separations; Latest developments of Solid-liquid flows.

Philosophy of CFD, Governing equations of fluid flow, Mathematical behaviour of partial differential equations, Discretization, Transformation, Numerical solutions, Some simple CFD Techniques, CFD solutions of some simple flows.

Process models and discretization, fundamentals of discrete time stochastic processes, Identification of ARX, ARMAX models, Multi-loop control, Interactions, Decoupling, State Estimation, Kalman Filter, Particle Filter, Linear Quadratic Regulator, Linear Quadratic Gaussian, Model Predictive Control.

Process Integration is a holistic approach to process design with a focus on unification. The emphasis will be on thermal pinch analysis for energy integration by integrating hold/cold streams. A material recovery pinch analysis will be discussed by the way of reducing waste materials to improve recycle and reuse. The course will be extended to discuss the development of radical intensifying techniques in chemical processes. In particular, applicability of the intensifying techniques to various practical applications will be discussed. Both the theoretical and conceptual phenomena pertaining to intensification will be covered.

Properties of Fluids, Fundamental equations of fluid flow: Derivation of Navier-Stokes, continuity and energy equations, Boundary conditions for viscous flow, Some discussion on potential flows: stream function, potential function, Flow separation, Dimensionless parameters, Laminar boundary layers, similarity solutions: Blasius velocity profile for flow over a flat plate, Transition to turbulence: linear stability analysis, Introduction to Turbulence

Applications of CFD, Introduction to CFD software (FLUENT/STAR-CCM), Balance equations: mass, momentum, energy & expression in Cartesian coordinates, Solution of simple flow problems using CFD Software (Flow in a pipe with & without wall heating, Lid-driven cavity problem), Review of solution of Linear algebraic equations: Gauss Jordan, Thomas algorithm, Discretization of derivatives, Finite difference formulae, Truncation vs Round-off error, Consistency, Stability (time-marching), Application to Wave equation: Euler explicit, Lax method, Leap-frog method, Lax-Wendorff method, Application to Heat equation: Simple-Explicit method, Crank-Nicolson method, Application to Inviscid Burger’s equation: Lax-Wendorff method

Introduction to chemical process design (Aspen Plus), Design of process equipment, Process simulation - steady state and dynamic simulation, Economic analysis, Project on process design

Mass Transfer experiments: Basic Mass transfer experiments with simple calculations: Packed-bed Absorption, Packed-bed Extraction, Distillation (batch & continuous), Adsorption, Vapor-liquid equilibrium. Control Valve Trainer: Understand various types of control valves, Quick opening, Linear, Equal Percentage by changing the pressure signal to the valves and measuring the flow using the provided rotameter; Pressure Control System: Perform open loop step testing and obtain a model relating pump- speed, opening of a solenoid valve and pressure. Implement PID control of the pressure in the process vessel using pump- speed and the solenoid valve; Four- Tank System: Perform open loop step testing and obtain a model relating liquid level in each of the tanks to the flow rates. Implement level control in various configurations; Heat Exchanger: To perform open loop testing and obtain a model relating hot, cold water flows and the temperature. Implement PID control of temperature using the hot and cold water flow rates. Heater Board: Developing a first order model and Implementing temperature control of the plate by regulating the power to the heater.

Use of simulation environment e.g. MATLAB or ASPEN to solve chemical engineering problems.

Estimation of Power draw/Work-index of mineral rock in the Ball Mill and Rod Mill; Measuring the size reduction ratio & power draw for Jaw crusher using Comminution laws; Determining the filter medium and cake resistance of plate and frame filter press; Particle classification through a hydro cyclone; Identifying the settling zone and estimation of particle hindered settling velocity in sedimentation; Fine Coal/Mineral separation using Froth Flotation: Chemical reaction engineering: Selected laboratory experiments based on performance of batch, plug flow, continuous stirred tank reactors (CSTR), adiabatic reactor, packed bed reactor, residence time distribution (RTD), polymerization reaction, biochemical reaction and kinetics of homogeneous and heterogeneous reaction.

Heat Transfer experiments: Temperature measurement and calibration; Measurement of thermal conductivity of solids; Unsteady heat transfer in solids; Shell and tube heat exchanger in parallel and counter flow configurations- Determination of emissivity and Stefan-Boltzmann constant - Measurement of convective heat transfer coefficient: free and forced convection; heat transfer coefficient in vertical condenser and horizontal condenser. Fluid Mechanics: Measurement of fluid properties; Pressure measurement using U-tube and inclined manometers; Measurement of discharge using notches; Impact of water jet; Flow measurement using venturi meter, orifice meter, rotameter; Measurement of friction losses.

Applications of CFD, Introduction to CFD software (FLUENT/STAR-CCM), Balance equations: mass, momentum, energy & expression in Cartesian coordinates, Solution of simple flow problems using CFD Software (Flow in a pipe with & without wall heating, Lid-driven cavity problem), Review of solution of Linear algebraic equations: Gauss Jordan, Thomas algorithm, Discretization of derivatives, Finite difference formulae, Truncation vs Round-off error, Consistency, Stability (time-marching), Application to Wave equation: Euler explicit, Lax method, Leap-frog method, Lax-Wendorff method, Application to Heat equation: Simple-Explicit method, Crank-Nicolson method, Application to Inviscid Burger’s equation: Lax-Wendorff method

Introduction to chemical process design (Aspen Plus), Design of process equipment, Process simulation - steady state and dynamic simulation, Economic analysis, Project on process design

Quick Recap of Basic Thermodynamics, Introductory Probability, Extremum Conditions, Statistical Interpretations of Free Energy & Entropy, 3rd Law & Boltzmann Distribution, Simple Gases, Temperature & Heat Capacity, Solutions, Different Ensembles, Fluctuations, Example Applications

Process Integration is a holistic approach to process design with a focus on unification. The emphasis will be on thermal pinch analysis for energy integration by integrating hold/cold streams. A material recovery pinch analysis will be discussed by the way of reducing waste materials to improve recycle and reuse. The course will be extended to discuss the development of radical intensifying techniques in chemical processes. In particular, applicability of the intensifying techniques to various practical applications will be discussed. Both the theoretical and conceptual phenomena pertaining to intensification will be covered.

Process models and discretization, fundamentals of discrete time stochastic processes, Identification of ARX, ARMAX models, Multi-loop control, Interactions, Decoupling, State Estimation, Kalman Filter, Particle Filter, Linear Quadratic Regulator, Linear Quadratic Gaussian, Model Predictive Control.

Vectors and tensor analysis, Momentum transport, Governing equations & Boundary conditions: equations of continuity and motion, Steady, Unidirectional flows, Non-dimensionalisation (Reynolds number, Schmidt number, Prandtl number etc), Time dependent flows, method of similarity solutions (combination of variables), Sturm-Liouville problems (separation of variables, infinite series), Two-dimensional flows: Stream function, limiting cases: creeping flow, inviscid flow, potential flow, velocity potential, Boundary layer theory, Turbulent flow, transition to turbulence, turbulence models, Analogy of Energy & Mass transport with Momentum transport (with examples).

Review of heterogeneous reaction; Classification of catalysts; Overview of catalyst preparation and characterization; transport processes with reaction in porous catalyst and multiphase reactor system; Kinetics and parameter estimation of heterogeneous catalytic reactions; Design of heterogeneous catalytic reactors; Multiphase (or dispersed phase) flow reactors; Catalyst deactivation; catalyst deactivation-diffusion interaction; Regeneration kinetics of deactivated catalyst.

Review of computer programming; Solutions of simultaneous linear/nonlinear equations; Newton's interpolation formula; Quadrature formula; Systems of first order ordinary differential equations (ODEs), Stability analysis; Variable step size algorithms (Gear's algorithm etc.), Finite Difference Methods for ODEs (IVPs & BVPs) and PDEs (hyperbolic, parabolic, elliptic). Numerical solutions of Chemical engineering problems e.g. separation processes, reaction engineering, fluid mechanics, process control, thermodynamics etc.

History of Chemical engineering: evolution of chemical processes and process equipment; Process intensification: a paradigm shift in design, role of disruptive innovation; Process integration: heat and mass integration, reactive separations; Processing under centrifugal fields-- HIGEE, spinning disk reactors, POD; Alternatives to stirred-tank mixers and reactors --Oscillatory baffle, Couette flow, ‘custom-shaped’ channel (Corning) mixers and reactors; Monolith (Structured) reactors and adsorbers; Micro devices: mixers, separators, heat exchangers, reactors for desk-top manufacture in Pharmaceuticals and fine chemicals.

Process Synthesis, Materials and Energy Balance, Computer Aided Design, Flow-sheet Development, Aspects of Instrumentation-Control-Storage-Materials. Role of Safety in Design, Economic Analysis and Feasibility, Depreciation Methods, Economic evaluation (NPV, DCFROR etc.), case studies relating process, equipment, plant design, from concepts to product (concept, lab scale, prototype/ pilot scale, further scale-up)

Modelling of dynamic processes, state space and input-output models, first and second order systems, underdamped, critically damped and overdamped systems. Linear Time Invariant (LTI) systems, dynamics of measuring elements and actuators. Stability of linear and non-linear systems. Feedback control systems, block diagrams, internal stability of feedback systems, P,PI,PID controllers, gain and phase margins, PID tuning, Smith predictor, feed-forward control, cascade control, inverse response, sensitivity functions, fundamental limitations on feedback control structure, effect of NMP/ LHP zeros on control design, sensitivity bounds.

Operations & Equipment used for: Liquid-Liquid Extraction, Leaching, Humidification, De-humidification, Drying, adsorption

Stoichiometric table, reaction network analysis, effect of pressure drop on performance of plug flow vessels. Steady state non-isothermal reactor design, energy balance on batch, plug flow and CSTR reactors, optimal design for exothermic reversible reactions, stability and multiplicity of steady states in CSTR; unsteady state non isothermal reactor design: unsteady state energy balance, unsteady operation of batch, plug flow and CSTR. Adsorption kinetics, kinetics of catalytic reaction, External diffusion effects on heterogeneous reactions, reaction and diffusion in porous catalysts, Kinetics and reactor design of fluid-fluid and Fluid-particle system , Design of heterogeneous catalytic reactor: fixed bed reactor, slurry reactor, trickle bed reactor and fluidized bed reactor.

Introduction to chemical technology; Overview of various chemical process industries including petroleum refinery, petrochemical industries, inorganic chemical industries (chlor-alkali industries, mineral acids, and ammonia), fertilizers industries, pulp, paper, and rayon industries, and soap and detergents industries.

Particle properties, size reduction and comminution laws, crushers and grinding devices, solids flow in hoppers & silos, solids mixing, screening, principles of mechanical separations involved in the fluid- particulate solid systems, flow through porous media (packed beds), fluidization, gravity settling operations, centrifugal separations, gas - solid separation processes, filtration theory and equipment, separations involved in froth flotation, electrostatic and magnetic separation.

Definition of Mass Transfer, Examples; Classes of Mass Transfer operations; Methods of Mass Transfer Operation; Principles of equipment design; Basics: Diffusion, Mass Transfer Coefficients. Theory of Interphase Mass Transfer (Equilibrium between phases, Henry's Law, Raoult's Law; Gas and Liquid Phase resistances); Absorption Operations and Equipment used (Concepts of Operating and Equilibrium lines, co-current, counter-current flows, different methods of calculating stages, application, Tray design concept, Design parameters, Design for Packed Towers); Overview of Distillation (Thermodynamics of Distillation, Basic Operation and Basics of Design Parameters)

Scope and Applications, Definition of Fluid, Concept of Continuum, Dimensions and Units. Fluid Properties: Velocity and Stress field, Density, Viscosity, Surface Tension, Pressure, Temperature. Fluid Statics: Basic equations, Pressure variation in static fluid, Manometers and Hydraulics, Fluid force on plane/curved submerged surface, Buoyancy and Stability. Fluid Dynamics: 1D, 2D, and 3D Flows; Timelines, Path lines, Streamlines; Streak lines; Viscous and Inviscid Flows, Laminar and Turbulent flows, Compressible and Incompressible flows, Internal and External flows. Basic equations in Integral form/Differential form: Mass conservation, Momentum conservation, Energy conservation, Angular momentum principle. Incompressible Inviscid flow: Euler’s equation, Bernoulli’s equation, Irrotational flow. Dimensional Analysis; Similitude. Internal Incompressible Viscous flow: Fully developed laminar flow in channel and pipe, flow measurement devices. External Incompressible Viscous flow: Boundary layers and thickness

Conduction: Fourier Law; Steady state conduction in 1D; Critical and optimal thickness of insulation; Steady state conduction in multiple dimensions; Numerical heat conductioon, Transient heat conduction in 1d, Extended Surfaces; Convection: Energy equation on boundary layer; Thermal boundary layer; Reynolds’s and Colburn analogy; Free convection, Turbulent Heat Transfer; Radiation: Photon Transport Equation, View factors; square of the distance effect; radiation between black surfaces; infinite parallel planes; radiosity, irradiation and surface resistance. Boiling and condensation; heat exchangers: types and classification; logarithmic mean temperature difference (LMTD); overall heat transfer coefficients from individual heat transfer coefficients; heat transfer coefficient in shell and tube exchangers; LMTD correction; effectiveness and number of transfer units (NTU); Evaporators: single effect and multiple effect; methods of feeding; enthalpy balance. Process design of shell & tube and double pipe heat exchangers; Process design of single effect and multiple effect evaporators.

Elementary/non-elementary reaction; reaction order, molecularity, Mathematical modeling of reaction mechanism, polymerization/biochemical reaction, Rate data analysis, Variable volume reaction system. Isothermal reactor design: Batch, Mixed and Plug flow reactors, multiple reactor system, multiple reaction system, series/parallel/complex reaction, reaction network, Residence time distribution (RTD); RTD in ideal reactors; Reactor modeling using RTD: Segregation model, maximum mixedness model; RTD and multiple reaction; Models for non-ideal reactors: tank-in- series model, dispersion model; modeling of real reactors with combinations of ideal reactors;

The course is intended to give an overview of all the main classes of materials including metals, polymers and ceramics. Each class of materials is explained in detail along with their specific properties defined by the nature of their chemical bonds, their atomic ordering and their microstructure. Defects and diffusion in materials along with phase diagrams are also emphasized. The second part of the course deals with the materials selection, development and processing with reference to real-world examples. The course also covers the most recent aspects of nanomaterials and nanostructures in terms of their basic attributes as well as practical application.

Partial differential equations, vector & tensor algebra and calculus in rectilinear and curvilinear coordinates, Complex variables, Discrete Fourier Transform and data analysis using DFT, analytic functions, z-Transforms, modelling discrete dynamical systems, Random variables, single and multivariate distributions, expectation, conditional expectation, sampling, hypothesis testing, statistical estimators, ordinary least squares, maximum likelihood estimates, analysis of variance (ANOVA), principal component analysis (SVD), montecarlo simulations

Recap of Laws of Thermodynamics & Allied postulates (Internal Energy, Entropy), Different definitions and related aspects, Single Phase (Property Calculations), Pure Fluid Industrial Applications, Behavior of Mixtures, Liquid Models, Vapor-Liquid and Liquid-Liquid Equilibria, Chemical Reaction Equilibria. Osmotic equilibrium, Partition of solute among two solvents, Advanced Liquid Models, Introduction to Intermolecular forces, Introduction to Statistical Mechanics.

Momentum transport: Viscosity, stress tensor, mechanisms of momentum transport, Shell momentum balances, boundary conditions, Governing equations: equations of continuity and motion, Steady, unidirectional flows, Energy transport: Thermal conductivity, mechanisms of energy transport, Shell energy balances, Equations of change for non-isothermal systems, Dimensional analysis of the equations of change (Reynolds number, Schmidt number, Prandtl number etc), Analogy of Energy & Mass transport with Momentum transport (with examples)

Errors in numerical calculations; roots of nonlinear equations, bracketing and open methods, bisection, false-position, and secant methods, Newton’s method, multiple roots, roots of polynomials; linear algebraic equations, Gauss elimination, partial pivoting, LU decomposition, matrix inverse, Gauss-Seidel method, relaxation; curve-fitting, least-squares regression, linear and polynomial regression. Numerical differentiation and integration; ordinary differential equations, First-order ODEs, Euler’s methods, predictor-corrector methods, Runge-Kutta methods; adaptive Runge-Kutta Methods, multi-step methods, stiff ODEs; system of first-order ODEs; higher-order ODEs; Initial value problems.

Introduction to biological systems and biomolecules, genetic engineering and cloning, enzyme kinetics, competitive and non-competitive inhibition, mathematical modeling of biological systems, ion transport mechanisms, kinetic parameter estimation, phenotypic distributions, upstream and downstream operations in bioreactors, biopharmaceutical production, biomaterials and cell interactions, scaffolds and implants, cellular and tissue engineering and drug delivery

Basics of Thermodynamics: Laws, Allied postulates, Different terms and related aspects; Equations and Relations; Single Component Phase changes and related phenomenon; Basic Definitions; Thermodynamic Cycle (Carnot, Rankine, Refrigeration, Auto & Diesel Cycles etc); Definition of non-equilibrium; Need of Statistical Mechanics.

Review of basic concepts: units and dimension, material properties, process variables and stoichiometry; Techniques for problem solving; Steady state material balances for processes involving no reaction; Steady state material balances for processes involving reaction: species and elemental balances, combustion of fuels; Recycle, bypass and purge calculations; Steady state material balances involving multiple units; Steady state material balances in multiphase systems ; Steady state energy balances for processes with and without reaction; De-Coupled and coupled mass and energy balances; Analysis of degree of freedom in a steady state process ; Unsteady state material and energy balances.

Introduction to Colloids and Interfaces; Forces in Colloidal Systems; Stability of Colloids; Surface Forces, Adhesion and Wettability, Properties of water; Synthesis and properties of Lubricants; Fuels; Polymers; Explosives; Cement; Adhesives; Nanomaterials.