Concept of boundary layer and flow over flat plate: similarity (Prandtl number) between hydraulic (part II fluid) and thermal boundary layers, Reynolds’ integration, temperature profile and heat transfer coefficient, boundary layer development over flat plate and Nusselt number correlations ī. Numerical solutions: finite difference schemes for transient 1d and steady state 2d with implementation in Matlab, problem solving in Ansys.Ī. Transient heat conduction: qualitative behaviour and the influence (Biot number) of boundary conditions and material properties, lumped heat capacity analysis (characteristic length, criterion, time constant of cooling), analytical solution of transient heat conduction by separation of variables for general temporal solution (thermal diffusivity, Fourier number and time constant of diffusion) and specific spatial solution in 1d slab with mixed boundary conditions), extension to cylinder and sphere and approximate forms (Heisler’s charts and one-term solutions) ĭ. Heat diffusion equation and applications: derivation, introduction to 3d and transient conduction, longitudinal and radial conduction with heat generation, extended surface and fin optimisation Ĭ. Simple 1d steady state: from Fourier’s law to differential equation, infinite slab and other 1d geometries (thin wire/rod, cylinder and sphere), boundary conditions and boundary value problems, nonlinear conduction and composite materials, equivalent circuits, thermal resistances including convection boundary condition, critical radius of cooling/heating ī. This module consists of two organically integrated components: (a) a comprehensive and rigorous treatise of heat conduction, convection and radiation, the three basic modes of heat transfers and (b) modern engineering applications of heat transfer.Ī.
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