Researches on Simultaneous Flow of Heat and Fluid through Porous Media : 1st Report, Fundamental Theories

Abstract

A Simultaneous flow of heat and fluid through porous media was analyzed with the thermodynamics of irreversible processes. The dustry gas model for the porous media was applied, and the gradient of isothermal chemical potetial was transformed into a simple form as a function of measurable variables. The phenomenological equations to account for these phenomena were induced after the above transformation. Each linear relation derived from the above mentioned phenomenological equations was examined by experiments in which a packed bed of standard sand was used as the porous media and air as the fluid in a temperature range of 30°C to 100°C and a pressure range of 0.01 Torr. to atmospheric pressure. The range in which these linear relations were valid was clarified. Furthermore, the thermal transpiration, which was the interaction phenomena between heat and fluid flow through porous media, was investigated by experiments and its effect was found to be very small.