Time-Dependent Transpiration Heat Transfer in Porous Cylinders

This paper investigates the transient temperature distribution within transpiration-heated and -cooled porous tubes that occur after a step increase in the rate of convective heat transfer at one of the tube surfaces. Analytic solutions are presented for transpiration cooling, catalytic chemical reactor, and tubular regenerator applications. These solutions include the effect of forced convective heat transfer at both tube surfaces where conventional heat-transfer coefficients are used to define the boundary conditions.