Conduction And Convection: Fundamentals And Applications

ABOUT THE COURSE: This is the first introductory course on heat transfer and will be useful for undergraduates as well as graduate level students. In the first part of the course, the focus is on analytical treatment of the subject wherein the thermal transport phenomena by conduction and convection modes are delineated under different conditions which are encountered in engineering practice. Analytical solutions of the governing equations are presented with sufficient rigour and depth. The course also introduces phase-change heat transfer, i.e., boiling and condensation. The later part of the course deals with engineering applications, with a focus on understanding conventional industrial heat exchangers and passive heat pipes and thermosyphons.INTENDED AUDIENCE: BTech (UG) in Mechanical. Chemical and Aerospace; MSc in Mathematics; MTech (PG) in Mechanical (Fluids and Thermal),PREREQUISITES: First and Second year Mathematics Courses. The basic core course in Fluid MechanicsINDUSTRY SUPPORT: DRDO Labs, ISRO, Some CSIR Labs, BHEL, BARC, Thermax, Reliance Energy, Solar energy companies, GE etc.

Week 1: Introduction about the Course, Conduction Fundamentals, The diffusion equation and the boundary conditions, 1-D Steady State Conduction in Various Geometry, Heat Transfer from Extended Surfaces Week 2:Heat Transfer from a Tapered Fin, Heat Transfer from an Annular Fin, 2-D Conduction: Analytical Solution, 2-D Heat Conduction in a Finite Cylinder Week 3:Transient Conduction, Unsteady State Conduction in an Infinite Slab, Conduction in a Semi- Infinite Solid Week 4:Computational Methods for Conduction, ADI Scheme and TDMA, Methods for solving Steady State Conduction Week 5:Introduction to Convection-1, Velocity and the Thermal Boundary Layers, Flow and heat transfer over a heated flat plate-1, Flow and heat transfer over a heated flat plate-2 Week 6:Approximate Method for calculating heat transfer on a heated flat plate, Heat Transfer from non-zero pressure-gradient surfaces, Internal flows and heat transfer (preliminaries) Week 7:Flow and heat transfer in a circular pipe; Thermally fully developed flow in a pipe, Turbulent Flow and Heat Transfer (preliminaries), Prandtl’s mixing length and universal velocity profile, Week 8:Turbulent flow and heat transfer in a pipe, Natural (Free) Convection (preliminaries), Free Convection on Vertical Flat Plate and Other Geometries Week 9:Introduction to Boiling heat transfer, Wetting and heterogeneous nucleation, bubble growth, Pool Boiling, Regimes of pool boiling, Nukiyama curve Week 10:Condensation heat transfer, Filmwise condensation, Nusselt analysis, Dropwise condensation, modeling Week 11:Introduction to Heat Exchangers, Overall Heat Transfer Coefficient, Fouling, Evaporators, and Condensers, Performance analysis, Logarithmic Mean Temperature Difference, Effectiveness, Number of Transfer Units Week 12:Passive thermal management, Theory and operation of heat pipes, Limitations, Modeling capillary limit, Two-phase Thermosyphons, Non-conventional heat pipes