Convective Heat Transfer

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Governing Equations: Continuity, Momentum and Energy Equations and their derivations in different coordinate systems, Boundary layer Approximations to momentum and energy – Laminar External flow and heat transfer: (a) Similarity solutions for flat plate (Blasius solution), flows with pressure gradient (Falkner-Skan and Eckert solutions), and flow with transpiration, (b) Integral method solutions for flow over an isothermal flat plate, flat plate with constant heat flux and with varying surface temperature (Duhamel’s method), flows with pressure gradient (von Karman-Pohlhausen method) – Laminar internal flow and heat transfer: (a) Exact solutions to N-S equations for flow through channels and circular pipe, Fully developed forced convection in pipes with different wall boundary conditions, Forced convection in the thermal entrance region of ducts and channels (Graetz solution), heat transfer in the combined entrance region, (b) Integral method for internal flows with different wall boundary conditions – Natural Convection heat transfer: Governing equations for natural convection, Boussinesq approximation, Dimensional Analysis, Similarity solutions for Laminar flow past a vertical plate with constant wall temperature and heat flux conditions, Integral method for natural convection flow past vertical plate, effects of inclination, Natural convection in enclosures, mixed convection heat transfer past vertical plate and in enclosures – Turbulent convection: Governing equations for averaged turbulent flow field (RANS), Analogies between heat and Mass transfer (Reynolds, Prandtl-Taylor and von Karman Analogies), Turbulence Models (Zero, one and two equation models), Turbulent flow and heat transfer across flat plate and circular tube, Turbulent natural convection heat transfer, Empirical correlations for different configurations

Course Curriculum

Introduction to convective heat transfer – Part 1 Details 51:51
Introduction to convective heat transfer – Part 2 Details 58:20
Continuity Equation Details 41:40
Momentum and Energy Equations Details 49:51
Energy Equation Details 50:37
Reynolds Transport Theorem Details 51:5
Entrophy Generation and streamfunction-vorticity formulation Details 51:8
Couette flow – Part 1 Details 54:47
Couette flow – Part 2 Details 50:4
Couette flow – Part 3 Details 50:35
Boundary layer approximation Details 50:59
Laminar External flow past flat plate (Blasius Similarity Solution) Details 48:31
Numerical solution to the Blasius equation and similarity solution to heat transfer Details 47:5
Pohlhausen similarity solution and flows including pressure gradient (Falkner-Skan) Details 48:21
Falkner skan solutions for heat transfer Details 46:20
Similarity solution for flow and heat transfer with transpiration at walls Details 49:31
Thermal boundary layer in high speed flows Details 50:23
Approximate(Integral) methods for laminar external flow and heat transfer Details 46:55
Integral method for laminar external thermal boundary layer over isothermal surface Details 46:59
Integral method for flows with pressure gradient (von Karman-Pohlhausen method) Details 51:8
Integral method with pressure gradient: heat transfer Details 44:57
Heat transfer across a circular cylinder: Walz approximation Details 35:50
Duhamel’s method for varying surface temperature Details 48:5
Laminar External heat transfer with non uniform surface temperature Details 37:10
Laminar internal forced convection – fundamentals Details 39:52
Hydrodynamically and thermally fully developed internal laminar flows Details 50:6
Fully developed laminar internal flow and heat transfer Details 47:59
Shooting method for fully developed heat transfer and thermal entry length problem Details 49:51
Thermal entry length problem with plug velocity profile: Graetz problem Details 54:10
Extended Graetz problem for parabolic velocity profile Details 45:3
Extended Graetz problem Details 49:59
Extended Graetz problem with wall flux boundary condition Details 51:53
Approximate method for laminar internal flows Details 51:58
Integral method for thermal entry length problem Details 49:6

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