Conduction heat transfer from oblate spheroids and bispheres

Authors

Saeed Jafari Kang, Michigan Technological UniversityFollow
Esmaeil Dehdashti, Michigan Technological UniversityFollow
Hassan Masoud, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

8-2019

Department

Department of Mechanical Engineering-Engineering Mechanics

Abstract

We theoretically examine heat transfer by conduction from oblate spheroidal and bispherical surfaces into a stationary, infinite medium. The surfaces are presumed to maintain a constant heat flux. Assuming steady-state condition and uniform thermal conductivity, we analytically solve Laplace’s equation for the temperature distribution and discuss the challenge of dealing with the Neumann (uniform flux) versus more convenient Dirichlet (isothermal) boundary condition. The solutions are obtained in boundary-fitting coordinate systems using the method of separation of variables and eigenfunction expansion. And, exact expressions for the average Nusselt number are presented along with their approximations.

Publisher's Statement

© 2019 Elsevier Ltd. All rights reserved. Publisher’s version of record: https://doi.org/10.1016/j.ijheatmasstransfer.2019.04.138

Publication Title

International Journal of Heat and Mass Transfer

Recommended Citation

Kang, S. J., Dehdashti, E., & Masoud, H. (2019). Conduction heat transfer from oblate spheroids and bispheres. International Journal of Heat and Mass Transfer, 139, 115-120. http://doi.org/10.1016/j.ijheatmasstransfer.2019.04.138
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/626