Introduction ; Basic Equations: Reynolds Transport Theorem; Compressible and Incompressible Flows; Derivation of Energy Equation using specific coordinate system; Preliminaries on the Tensor Analysis ; Derivation of Energy Equation (using Generalized Approach); Important Dimensionless Numbers; Concepts of velocity boundary layer and thermal boundary layer, displacement thickness, momentum thickness and energy thickness. Derivation of velocity boundary layer and thermal boundary layer equations. External Flows: Flow over a Flat Plate; Blasius Solution, Temperature distribution over a flat plate boundary layer (derivation of the ordinary differential equations from the partial differential equations); Numerical Solution (shooting technique); Analytical Solution (Series Solution, principles of similarity and the similarity solution of velocity boundary layer. Approximate Method (Karman-Pohlhausen Method) for flow over a heated flat plate. Solution of Momentum Integral equations (including the cases of suction and blowing). Solution of Energy Integral equation for the case of Pr>1. Effect of pressure gradient on heat transfer in Integral solutions. Viscous dissipation effects on Boundary Layer Flow over a Heated Flat Plate. Influence of Prandtl number and Eckert number.
This course assumes that the students have undergone UG courses in Engineering Mathematics, Thermodynamics, Heat Transfer and Fluid Mechanics and are familiar with the use of experimentally derived CORRELATIONS for estimating heat/mass transfer coefficient in a variety of flow situations
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