Heat transfer: A liquid flowing through a porous prism

Abstract If a liquid, initially at uniform temperature, passes lengthwise through a right, porous prism, initially at some other uniform temperature, the sides of the prism being adiabatic and impervious to the liquid, then the temperatures of both liquid and solid will be functions of the time and of a distance. The problem of finding the temperature distributions has been solved assuming the well-known laws governing the transfer of heat from a liquid in turbulent motion to a solid. The solution as presented involves the use of some interesting mathematical functions which are related to the well-known Bessel Functions. If a gas is used instead of a liquid, the problem is much more complicated, but a dimensional method of treating the problem leads to results which may be very useful in practice. The author wishes to express his thanks and appreciation to Dr. S. Y. Burke for suggesting this research and showing such a stimulating interest during its development, and also to the Combustion Utilities Corporation for permission to publish the results.