Document Type
Thesis
Date of Award
5-31-1975
Degree Name
Master of Science in Chemical Engineering - (M.S.)
Department
Chemical Engineering and Chemistry
First Advisor
Ernest N. Bart
Second Advisor
Angelo J. Perna
Third Advisor
Hung T. Chen
Abstract
Solutions to Laplace's equation are obtained by the method of reflections for the problem of heat transfer from two parallel rings of spheres arranged in regular polygonal arrays. The mathematical models developed describe the rate of heat transfer and spatial temperature distribution due to an arbitrary number of identical spheres of equal surface temperature correcting Fourier's heat transfer equation for the interference caused by a multiparticle array. Although the method of solution is quite rigorous and can be used to obtain as accurate a solution as desired, only the second reflection was obtained, yielding a first order correction. The model was compared with an exact solution of Laplace's equation in spherical bipolar coordinates for the case of two spheres in space. The accuracy of the model was shown to be related to the density of the array under consideration becoming more reliable with increased dilution of the system.
Recommended Citation
Melo, Evelio A., "Steady state heat transfer from a double ring of identical spheres in a regular orientation" (1975). Theses. 2118.
https://digitalcommons.njit.edu/theses/2118
