Determination and use of the optimal variation of pipe wall thickness for laminar forced convection heat transfer

摘要

The optimal variation of wall thickness to minimize the pipe wall axial conduction for a conjugate heat transfer problem is considered. The variable pipe wall outer radius corresponding to the optimal wall thickness is determine diva variational calculus. Using the optimal outer radius for an existing solution procedure of the conjugate heat transfer problem, a noticeable increment in heat gain of the flowing fluid yielded by the raising wall temperature is observed. The effect of the optimal and linear variations together with the constant outer radius of the pipe on heat transfer characteristics is comparatively presented.