... flow in one dimension, the governing heat equation is given as follows: (1) ∂ T ∂ t = α ∂ 2 T ∂ x 2   transient conduction analytical solution convection radiation total heat transfer Analytical solutions have been derived for a finite size...

... is also performed using C omsol Multiphysics; the maximum relative difference between the obtained numerical data and the analytical model is less than 6%. multilayered composite systems transient conduction thermal contact resistance electronic packages dynamic thermal response integrated...

.... The thermal response of objects can often be estimated by employing one-dimensional analyses. The most familiar analytical solutions are for sudden heating or cooling at the boundary(ies) of the domain and the evolution of temperatures to some steady state ( 1 2 3 4 5 ). transient conduction...