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- Title
An Improperly Posed Problem of Heat Conduction in Multilayer Multidimensional Spherical Body.
- Authors
Choudhury, Bejoy K.
- Abstract
A new method of determining the available fuel mass of an orbiting satellite is discussed. Currently, no instrument or device exists that will measure and transmit the status of the residual fuel. To solve this inverse problem, a multilayer multidimensional spherical body model is developed in which time and space-varying heat source and surface heat flux are prescribed. Finite integral transforms are used and the solution is obtained in infinite series. Time–temperature history of the spherical tank (available from satellite telemetry) is used to construct an objective function which is minimised. Statistical analysis is used to obtain confidence bounds for the solution. Numerical examples are given.
- Subjects
ORBITS of artificial satellites; FUEL; HEAT flux; INTEGRAL transforms; INFINITE series (Mathematics); STATISTICS
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2013, Vol 66, Issue 1, p29
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/hbs018