Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Transient temperature response of spherical bodies

Author: Bejoy K. Choudhury
Journal: Quart. Appl. Math. 69 (2011), 205-225
MSC (2000): Primary 80A20, 44A10
Published electronically: March 3, 2011
MathSciNet review: 2814525
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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.

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