Verification solutions for heat conduction with solid body motion and isothermal boundary conditions

Abstract EN

Verification solutions for the problem of combined thermal conduction and uniform flow are developed.

Expressions and numerical values are given for transient one- and three-dimensional problems with temperature boundary conditions.

Results are given for both the temperature and heat flux.

Solutions for three sets of boundary conditions for the steady state case are also provided.

The main tool for the solution of the transient problems is the use of Green’s functions; two types of Green’s functions are used in the problem.

One is more efficient for the “short times” and the other for the “long times.” This is part of the time partitioning method.

A unique benefit of the partition time solution method is that the numerical values can be verified by varying the partition time between the short and long time Green’s function.