A Numerical Well-Balanced Scheme for One-Dimensional Heat Transfer in Longitudinal Triangular Fins
2013 ◽
Vol 2013
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pp. 1-9
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Keyword(s):
The temperature profile for fins with temperature-dependent thermal conductivity and heat transfer coefficients will be considered. Assuming such forms for these coefficients leads to a highly nonlinear partial differential equation (PDE) which cannot easily be solved analytically. We establish a numerical balance rule which can assist in getting a well-balanced numerical scheme. When coupled with the zero-flux condition, this scheme can be used to solve this nonlinear partial differential equation (PDE) modelling the temperature distribution in a one-dimensional longitudinal triangular fin without requiring any additional assumptions or simplifications of the fin profile.
2013 ◽
Vol 5
(04)
◽
pp. 407-422
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2010 ◽
Vol 12
(2)
◽
pp. 125-131
2020 ◽
Vol 5
(1)
◽
pp. 1-7
2014 ◽
Vol 9
(8)
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pp. 238-248
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