Steady heat conduction from an infinite row of holes in a half-space or a uniform slab (Q5896283)

A special boundary integral equation is used to analyze steady heat conduction from an infinite row of circular holes located below the surface of a half-space or along the midplane of a uniform slab. Numerical results show that standard handbook approximations for the total heat flux from any one hole can give sizable errors in both problems, even for modest values of the problem parameters. An alternative approximation proposed recently for the half-space problem is shown to offer a substantial improvement in accuracy.