Transient temperature response of spherical bodies

Author:
Bejoy K. Choudhury

Journal:
Quart. Appl. Math. **69** (2011), 205-225

MSC (2000):
Primary 80A20, 44A10

DOI:
https://doi.org/10.1090/S0033-569X-2011-01193-7

Published electronically:
March 3, 2011

MathSciNet review:
2814525

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Fundamental temperature solutions in closed form of composite spherical bodies are given for mixed and time-dependent boundary conditions. Solid and hollow spherical bodies are included as further examples. The solution requires calculating the roots of certain transcendental equations. A method is developed to find the roots rapidly. As a practical application, the two-layer composite solution is used to determine the available fuel mass of an orbiting spacecraft.

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Additional Information

**Bejoy K. Choudhury**

Affiliation:
Lockheed Martin Space Systems, Sunnyvale, California

Email:
bejoy.choudhury@lmco.com

DOI:
https://doi.org/10.1090/S0033-569X-2011-01193-7

Keywords:
Heat conduction,
diffusion,
radiation,
Laplace transform

Received by editor(s):
May 1, 2009

Published electronically:
March 3, 2011

Dedicated:
In memory of late Professor I. M. Cohen [1937–2007], whose lifelong dedication to teaching and research has inspired, and continues to inspire

Article copyright:
© Copyright 2011
Brown University

The copyright for this article reverts to public domain 28 years after publication.