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CH 201 (AUG) 3:0  Chemical Engineering Mathematics Linear algebraic equations, linear operators, vector and function spaces, metric and normed spaces, existence and uniqueness of solutions. Eigen values and eigen vectors/functions. Similarity transformations, Jordan forms, application to linear ODEs, SturmLiouville problems. PDE's and their classification, initial and boundary value problems, separation of variables, similarity solutions. Laplace and Fourier transforms. Prabhu R Nott Linear Algebra and its Applications, Gilbert Strang, Thompson (Indian edition). Mathematical Methods for Physicists, J. B. Arfken and H. J. Weber, Academic Press (Indian reprint). Mathematical Methods in Chemical Engineering, S. Pushpavanam, PrenticeHall India. Advanced Mathematical Methods for Scientists and Engineers, C. M. Bender and S. A. Orszag, McGrawHill/SpringerVerlag (Indian/International student edition CH 202 (AUG) 3:0  Numerical Methods Basics of scientific computing, numerical errors, solution of linear algebraic equations, linear least squares, eigen values, eigen vectors, solution of nonlinear equations, optimization methods, nonlinear least squares, interpolation, numerical differentiation and integration, solution of ODEs  initial and boundary value problems, finite differences for PDEs K Ganapathy Ayappa Chapra, S.C. and Canale, R.P., Numerical Methods for Engineers, McGraw Hill, NY, 6th edition, 2010. Gupta, S.K., Numerical methods for Engineers, New Age Publishers, India 2009. Beers, K.J., Numerical Methods for Chemical Engineering, Cambridge Univ. Press, Cambridge, UK 2010. CH 203 (AUG) 3:0  Transport Processes Basic transport laws and transport properties; shell and differential balances; NavierStokes equations, equations of change for temperature and concentration in dilute systems; similarity of three transport processes; steady and unsteady transport, forced and natural convection; convective diffusion in dilute solutions; integral balances and connection to unit operations; boundary layer theory, turbulence. V Kumaran Bird, R.B, Stewart, W.E. and Lightfoot, E.N., Transport Phenomena, Wiley, 1994. Denn, M.M, Process Fluid Mechanics, Prentice Hall, 1980. Whitaker, S., Fundamental Principles of Heat Transfer, New York, Pergamon, 1997. CH 204 (AUG) 3:0  Thermodynamics Classical thermodynamics: first and second laws, Legendre transforms, properties of pure substances and mixtures, equilibrium and stability, phase rule, phase diagrams, and equations of state, Calculation of VLE and LLE, Reaction equilibria, Introduction to statistical thermodynamics . K. Ganapathy Ayappa Tester, J.W., and Modell, M., Thermodynamics and its Applications, Third Edn, Prentice Hall, 1997. Callen, H.B., Thermodynamics and an Introduction to Thermostatics, John Wiley & Sons, 1985. McQuarrie, D.A., Statistical Mechanics, University Science Books, 2000. Hill, T.L., An Introduction to Statistical Thermodynamics, Dover Publications, 1960 CH 205 (JAN) 3:0  Chemical Reaction Engineering Overview. The condition for reaction equilibrium; equilibrium constant and the equilibrium composition; degrees of freedom for reactive systems; rate expressions for reactions; theories for the rates of reactions; ideal and actual reactors. Mass and energy balances for an ideal batch reactor; application to the oxidation of lignin. The ideal continuous stirred tank reactor: mass and energy balances; steady state analysis; van Heerden's graphical approach; stability of steady states; linearized stability analysis; The empty tubular reactor: crosssectional averaged balances; parametric sensitivity and runaway behaviour; a bubble column slurry reactor for FisherTropsch synthesis. The attainable region analysis for sequences of reactors. Diffusion and reaction in catalyst pellets; differential balances; flux relations; effectiveness factors; diffusional disguise of rate parameters; external resistances to heat and mass transfer. The packed bed catalytic reactor. Nonideal flow through reactors; residence time distribution; micromixing and macromixing S Venugopal / Rahul Roy Fogler, S.H., Elements of Chemical Reaction Engineering, 4th ed., Pearson Education, 2006 Schmidt, L.D., The Engineering of Chemical Reaction, Oxford, 1998 Froment G.F., Bischoff K.B., and Wilde, J.D., Chemical Reactor Analysis and Design, Wiley, 2011. CH 206 (AUG) 1:0  Seminar Course The course aims to help students in preparing, presenting and participating in seminars. The students will give seminars on topics chosen in consultation with the faculty. Sudeep Punnathanam /Prabhu R Nott CH 207 (JAN) 1:0  Applied Statistics and Design of Experiments Introduction to probability and statistics; conditional probability; independence; discrete and continuous random variables and distributions; sampling distributions; confidence interval; application of parameter 170 estimation and hypothesis testing: statistical inference for one sample and two samples; application of parameter estimation and hypothesis testing; statistical inference for two samples; analysis of variance; linear and nonlinear regression; design of experiments; factorial experiments. Montgomery, D.C. and Runger, G.C., Applied Statistics and Probability for Engineers, 5th ed., John Wiley & Sons, New York, NY, 2011. Montgomery, D. C., Design and Analysis of Experiments, 7th ed., John Wiley & Sons, New York, NY 2005 CH 232 (JAN) 1:0  Physics of Fluids Classical mechanics: Lagrangian and Hamiltonian formulations, Liouville equation and BBKGY hierarchy. Kinetic theory of gases: Velocity distribution function and analysis of collisions, Boltzmann equation and Boltzmann H  Theorem, Nonequilibrium transport properties, Derivation of NavierStokes equations, Theory of dense gases. Stochastic processes: Brownian motion, Central limit theorem, Markov processes, Fokker Planck and Langevin equations. Linear response theory: Spacetime correlation functions, Response functions, Fluctuationdissipation theorem, Generalised hydrodynamics: Generalised NavierStokes equations, Green  Kubo relations. V Kumaran Statistical Mechanics, D. A. McQuarrie, Harper & Row (1976). Classical Mechanics, H. Goldstein, Narosa Publishing House, (1989). The mathematical theory of nonuniform gases, S. Chapman and T. G. Cowling, Cambridge, (1970). Stochastic processes in physics and chemistry, N. G. van Kampen, NorthHolland, (1981). CH 234 (JAN) 3:0  Rheology of Complex Fluids and Particulate Materials Introduction to complex fluids: Polymeric fluids, suspensions, pastes, dry granular materials; Flow phenomena in complex fluids shear thinning and thickening, shear bands, creep; Introduction to principles of rheology; Kinematics viscometric flows; material functions: rheometry in simple flows; Rheological models Generalized Newtonian fluid, models for viscoelasticity, plasticity and viscoplasticity; Applications to simple flow problems. Prabhu R Nott Bird, R. B., Armstrong, R. C. and Hassager, O., Dynamics of Polymeric Liquids  Vol.1 Fluid Mechanics, Wiley, 1987 Larson, R., The Structure and Rheology of Complex Fluids, Oxford, 1999 Rao, K. K. and Nott, P. R., An Introduction to Granular Flow, Cambridge, 2008. CH 235 (AUG) 3:0  Modeling in Chemical Engineering Model development principles; classification of models; modeling of complex situations of interest to chemical engineers through lumped parameter models, continuum models, population balance models, stochastic models, Monte Carlo methods, network models, percolation concepts, and fractal analysis of complex geometries. Sanjeev K Gupta Lecture notes provided by instructor CH 236 (JAN) 3:0  Statistical Thermodynamics Macroscopic and microscopic descriptions of the state of a system.Ensembles, the partition function and thermodynamic properties; System of independent particles; Fluctuations andthe compressibility equation; Chemical equilibrium in ideal gas mixtures; Lattice statistics; Real gases; The liquid state: lattice models,distribution functions theories, perturbation theories; Liquid mixtures: solution theories and local composition models Sudeep Punnathanam & K. Ganapathy Ayappa Vincenti and Kruger, Introduction to Physical Gas Dynamics, Wiley 1966. Hansen, J.B., and McDonald, I.R., Theory of Simple Liquids, Academic, 1990. McQuarrie, D.A., Statistical Mechanics, Viva Books, 2003. CH 242 (AUG) 3:0  Special Topics in Theoretical Biology Motivation for theoretical studies of biological phenomena; reactiondiffusion systems; biological oscillations and chaotic systems; bacterial chemotaxis; interacting population dynamics; withinhost dynamics of viral infections; viruscell interactions; host immune response; drug pharmacokinetics and therapy; disease epidemiology; HIV and hepatitis C virus infections; tumor progression and cancer. Narendra M Dixit J. D. Murray, Mathematical biology I & II, Springer (3rd edition), 2003 R. M. May and R. M. Anderson, Infectious Diseases of Humans: Transmission and Control, Oxford, 1991 M. A. Nowak and R. M. May, Virus Dynamics: Mathematical Foundations of Immunology and Virology, Oxford, 2000 CH 243 (JAN) 3:0  Mechanics of Particle Suspensions Forces acting on particles in a fluidparticle suspension; Flow regimes; Creeping flow: Fundamentals of Stokes flow, singularity solutions, and the fluid velocity disturbance due to an isolated particle; Inertial flow: fluidparticle and particleparticle interactions; Hydrodynamic interactions between suspended participles; Sedimentation, rheology and selfdiffusion of dilute Stokesian suspensions; Dynamics of concentrated suspensions; Continuum description of suspensions using volume and ensemble averaging; Nonlinear rheology and segregation; Applications to living cells and other biological systems. Prabhu R Nott Prerequisites: Postgraduate course in Fluid Mechanics J. Happel and H. Brenner, Low Reynolds number hydrodynamics: With special applications to particulate media, PrenticeHall, 1965 . S. Kim and S. Karrila, Microhydrodynamics: Principles and selected applications, Dover, 2005 . Roy Jackson, The dynamics of fluidized particles, Cambridge University Press, 2000 CH 244 (AUG) 3:0  Treatment of Drinking Water Availability of water, contaminants and their effects on human health, quality standards. Removal of contaminants by various processes: flocculation, coagulation and sedimentation, filtration, water softening, reverse osmosis and other membrane processes, solar distillation, adsorption and ionexchange, chemical disinfection, electrocoagulation, thermal radiation and UVirradiation. Rain water harvesting. K Kesava Rao Droste, R.L., Theory and Practice of Water and Wastewater Treatment, Wiley (Asia), 2004. Sawyer, C.N., McCarty, P.L., and Parkin, G.F., Chemistry for Environmental Engineering and Science, Fifth Edn, Tata McGraw Hill, 2004. . Seader, J.D., and Henley, E.J., Separation Process Principles, Second Edn, WileyIndia, 2006 . CH 245 (JAN) 3:0  Interfacial and Colloidal Phenomena Interfaces, YoungLaplace and Kelvin equations for curved interfaces; interfacial tension and contact angle, measurement techniques; wetting and spreading; intermolecular and interparticle forces, double layer repulsion, DLVO theory of colloidal stability; nonDLVO forces; surfactants; thermodynamics of selfassembly, phase diagrams; electrokinetic phenomena, zeta potential; electrochemical systems. Sanjeev K Gupta Israelachvili, J., Intermolecular and Surface Forces, Academic, Press, 3rd edition, 2011. Hunter, R. J., Foundations of Colloid Science, Vol. I, II Oxford, University Press, 1986. Newman, John and ThomasAlyea, K. E., Electrochemical Systems, 3rd edition, John Wiley and Sons, 2004. Adamson, A. W. and Gast, A., Physical Chemistry of Surfaces, 6th edition, John Wiley and Sons, 1997. Miller, C. A. and Neyogi, P., Interfacial Phenomena: Equilibrium and Dynamic Effects, Marcel Dekker, 1985. Comprehensive lecture notes given by instructor. CH 247 (JAN) 3:0  Introduction to Molecular Simulations Introduction to molecular dynamics; conservation laws; integration schemes: verlet, velocity verlet, leapfrog; constraint dynamics; extended Lagrangian dynamics; Thermostats and barostats; introduction to Monte Carlo techniques; Metropolis algorithm; NVT, NPT and GCMC simulations; estimation of pressure, chemical potential, radial distribution function, autocorrelation function, Ewald summation; umbrella sampling; Gibbs Ensemble technique; configuration bias technique. K. Ganapathy Ayappa and Sudeep Punnathanam M. P. Allen and D. J. Tildesley, Computer simulation of Liquids, Oxford University Press, New York, 1987 D. Frenkel and B. Smit, Understanding Molecular Simulation: From Algorithms to Applications, 2nd Ed., Academic Press, San Diego, 2002 CH 248 (JAN) 3:0  Molecular Systems Biology Various topics highlighting experimental techniques and modeling approaches in systems biology for problems ranging from molecular level to the multicellular level will be covered. Topics: Properties of biomolecules, Biomolecular Forces, Single molecule experimental techniques, Molecular motors, Molecular heterogeneity, Selforganization, Enzyme kinetics, Modeling cellular reactions and processes, Fluctuations and noise in biology, Cellular variability, Biological networks, Modeling dynamics of bioprocesses and Cellular signaling. Rahul Roy Course Notes: The course is intended for Masters and PhD students. Undergraduates with sufficient background may approach the instructor regarding the course. No prior knowledge of biology is needed but a nonbiologist will have to selfeducate. Basic grasp of calculus, algebra and programming skills in C, Matlab or Mathematica is recommended. Philip Nelson, Biological Physics: Energy, Information, Life, W. H. Freeman, 2007, ISBN13: 9780716798972. Edda Klipp, Wolfram Liebermeister, Christoph Wierling, Axel Kowald, Hans Lehrach, Ralf Herwig, Systems Biology, WileyVch, 2009, ISBN: 9783527318742. Uri Alon, An Introduction to Systems Biology: Design Principles of Biological Circuits, Chapman & Hall/CRC Mathematical & Computational Biology, 2006, ISBN: 9781584886426. CH 249 (JAN) 3:0  Structural and Functional DNA Nanotechnology Origin of structural DNA nanotechnology; properties of DNA and other nucleic acids relevant to nanotechnology; design of branched DNA systems; DNA nanomechanical devices; DNA origami and DNA bricks; Forces and energetics in nanoscale; Thermodynamics of selfassembly formation; Experimental techniques to characterize DNA nanostructures including AFM; SEM; TEM; single molecule and bulk fluorescence; gel electrophoresis; sequencing and radiolabelling assays; Application of DNA nanostructures in molecular computing; organizing and templating other nanomaterials; biosensing; nanofabrication; cargo delivery; hybrid DNA nanomaterials. Rahul Roy / Banani Chakraborty DNA Nanotechnology: From structure to function /Fan, Chunhai /Springer Structural DNA nanotechnology / Seeman, Nadrian / Cambridge Uni. Press Articles / lecture notes provided by the instructor CH 299 32:0  Dissertation Project The ME project is aimed at training the students to analyze independently any problem posed to them. The project may theoretical, experimental, or a combination. In few cases, the project may also involve sophisticated design work. The project report is expected to show clarity of thought and expression, critical appreciation of the existing literature, and analytical, experimental or design skills. Faculty 