Conjugate Heat Transport Systems
In this chapter, we further employ the law of motive force, a physical principle, to a class of more complicated situation of conductive–convective conjugate heat transfer problems. We provide a complete analytical solution for a classically unsolved problem of generalized Pohlhausen’s solution of forced convection with Hartee’s velocity profile in relation to the design of thermal insulation systems. Initially, the law of motive force is employed to a nonconjugate heat transfer problem with assumed boundary layer type variation of convective heat transfer coefficient.
. Such inverse problems arise in the study ofheat and mass transfer, diffusion, tracer dispersion, etc.Among the works concerning such problems, we notethose by Yu.E. Anikonov, Yu.Ya. Belov, M. Ivanchov,and some other authors (see the bibliography in [1–5]).However, previous studies considered linear or the sim-plest quasilinear cases, the governing equations werefrequently one-dimensional, and their coefﬁcients gen-erally did not depend on x ’’ .rxt(),∂u∂t------ – L