Unsteady or Transient Heat Conduction
This chapter is devoted to the transient state of heat conduction, i.e., the heating or cooling where the temperature of the solid body varies with time as well as in the space. For bodies with a very high thermal conductivity combined with a low value of the convective heat transfer coefficient, lumped heat capacity analysis has been presented. For determination of temperature variation with time and spatial position in plates (whose thickness is small compared to the other dimensions), cylinders (whose diameter is small compared to its length), and spheres, solution based on Heisler charts has been given. Numerical method of solving transient conduction problems has been presented with a numbers of illustrative examples.
KeywordsUnsteady or transient heat conduction Lumped heat capacity analysis Characteristic dimension Biot number Fourier number Heisler charts Numerical method Explicit and implicit formulations Schmidt graphical method
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