Heat transfer study on solid and porous convective fins with temperature-dependent heat generation using efficient analytical method

2014 ◽  
Vol 21 (12) ◽  
pp. 4592-4598 ◽  
Author(s):  
S. E. Ghasemi ◽  
P. Valipour ◽  
M. Hatami ◽  
D. D. Ganji
2019 ◽  
Vol 48 (4) ◽  
pp. 1225-1244 ◽  
Author(s):  
Mohammad Alkasassbeh ◽  
Zurni Omar ◽  
Fateh Mebarek-Oudina ◽  
Jawad Raza ◽  
Ali Chamkha

2018 ◽  
Vol 21 (3) ◽  
pp. 380-388 ◽  
Author(s):  
M. Mosavat ◽  
R. Moradi ◽  
M. Rahimi Takami ◽  
M. Barzegar Gerdroodbary ◽  
D.D. Ganji

2017 ◽  
Vol 377 ◽  
pp. 1-16
Author(s):  
Raseelo Joel Moitsheki ◽  
Oluwole Daniel Makinde

In this paper we consider heat transfer in a hot body with different geometries. Here, the thermal conductivity and internal heat generation are both temperature-dependent. This assumption rendered the model considered to be nonlinear. We assume that thermal conductivity is given by a power law function. We employ the preliminary group classification to determine the cases of internal heat generation for which the principal Lie algebra extends by one. Exact solutions are constructed for the case when thermal conductivity is a differential consequence of internal heat generation term. We derive the approximate numerical solutions for the cases where exact solutions are difficult to construct or are nonexistent. The effects of parameters appearing in the model on temperature profile are studied.


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