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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
economics, econometrics and finance
Numerical investigation of the temperature profile in a rectangular longitudinal fin
Nonlinear Analysis: Real World Applications, Volume 13, No. 5, Year 2012
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Description
In this paper we consider a model describing the temperature profile in a longitudinal fin with a rectangular profile attached to a stationary base surface. The heat transfer coefficient is given as a nonlinear function and the thermal conductivity as a linear function, allowing both to be temperature-dependent. Numerical solutions for the relevant energy balance equation for a longitudinal fin in dimensionless variables are obtained through the implementation of an in-built function, bvp4c, in MATLAB. Solutions are considered and compared for various values of the thermo-geometric parameter M and the exponent n, providing some useful insights into the problem at hand with regard to the thermal stability. A dynamical systems analysis is performed for the case n = 1 as a means of investigating the stability of the numerical solutions obtained. © 2012 Elsevier Ltd. All rights reserved.
Authors & Co-Authors
Harley, Charis
South Africa, Johannesburg
University of the Witwatersrand
Moitsheki, Raseelo Joel
South Africa, Johannesburg
University of the Witwatersrand
Statistics
Citations: 24
Authors: 2
Affiliations: 1
Identifiers
Doi:
10.1016/j.nonrwa.2012.02.002
ISSN:
14681218
Study Design
Cohort Study