Recapitulation of the basic idea of 1D steady-state heat conduction and constant cross-section fin problems. [4 hours]

Fundamental analysis and variables of the varying cross-sectional straight and circumferential fins. Derivation of generalized conduction equation for anisotropic inhomogeneous solids, conductive tensor, concepts of isotropic and homogeneous conductivity. Algebra of the indicial notations to represent the generalized conduction equation. [8 hours]

Analytical solutions of the steady-state higher-dimensional conduction in solids with simple and complex boundary conditions and heat generation. [7 hours]

Analysis of heat conduction in a lumped system, transient conduction in simple systems, and transient heat conduction with complex boundaries. [7 hours]

Recapitulation of fundamentals of radiative heat transfer, radiative properties of surfaces, methods of estimating configuration factors, heat exchange between diffusively emitting and diffusively reflecting surfaces. Radiative energy transfers by absorbing and emitting two distinctly located real surfaces. Combined conduction and radiation systems. [8 hours]

To understand the scopes of generalized heat conduction in anisotropic, inhomogeneous
material with the complex boundary conditions.

To solve analytically the problem of higher-dimensional steady/unsteady heat conduction.

To solve the realistic fin problems of varying cross-sectional straight and annular fins.

To determine the radiative heat flux between the two surfaces with a participating/non-participating medium.

CO1: To understand the scopes of generalized heat conduction in anisotropic, inhomogeneous material with complex boundary conditions.

CO2: To solve the realistic fin problems of varying cross-sectional straight and annular fins.

CO3: To solve the heat conduction problem for the lumped system and approach for the higher Bi cases.

CO4: To solve analytically the problem of higher-dimensional steady/unsteady heat conduction.

CO5: To determine and solve the problems of radiative heat flux between the two surfaces.

D.W. Hahn and M.N. Ozisik, Heat Conduction, .John Wiley & Sons , 2022

R.Siegal and J.R Howell, Thermal radiation heat transfer, . Wiley Publications , 2021

V.S Arpaci, Conduction Heat Transfer, .MA: Addison-Wesley , 2020

M.F. Modest, and and S. Mazumder, Radiative Heat transfer, Academic press. , 2021

Burggraf, O.R., 1964. An exact solution of the inverse problem in heat conduction theory and applications.

Ma, C.C. and Chang, S.W., 2004. Analytical exact solutions of heat conduction problems for anisotropic multi-layered media. International journal of heat and mass transfer, 47(8-9), pp.1643-1655.