TY  - JOUR
T1  - SOLUTION OF TWO-DIMENSIONAL HEAT AND MASS TRANSFER EQUATION WITH POWER-LAW TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY
AU  - Pamuk, S.
AU  - Pamuk, N.
PY  - 2014
DA  - December
JF  - TWMS Journal of Applied and Engineering Mathematics
JO  - JAEM
PB  - Işık University Press
WT  - DergiPark
SN  - 2146-1147
SP  - 199
EP  - 208
VL  - 4
IS  - 2
LA  - en
AB  - In this paper, we obtain the particular exact solutions of the two-dimensional  heat and mass transfer equation with power-law temperature-dependent thermal conductivity using the Adomian’s decomposition method. In comparison with existing techniques, the decomposition method is very effective in terms of accuracy and convergence.  Also, it is an advantageous method for obtaining the solutions of non-linear differential  equations without linearization and physically unrealistic assumptions. Numerical comparisons are presented in both tables and figures
KW  - Adomian’s decomposition method
KW  - heat and mass transfer equation
KW  - thermalconductivity
CR  - Adomian, G. (1994), Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Boston.
CR  - Arslanturk, C. (2005), A decomposition method for Şn efficiency of convective straight Şns with temperature dependent thermal conductivity, Int. Comm. Heat Mass Transfer, 32, 831-841.
CR  - Chang, M.H. (2005), A decomposition solution for Şns with temperature dependent surface heat flux, Int. J. Heat Mass Transfer, 48, 1819-1924.
CR  - Cherruault, Y, and Adomian, G.(1993), Decomposition methods: A new proof of convergence, Math. Comp. Model. 18, 103 - 106.
CR  - Chiu, C.H., and Chen, C.K. (2002), A decomposition method for solving the convective longitudinal Şns with variable thermal conductivity, Int. J. Heat Mass Transfer, 45, 2067-2075.
CR  - Pamuk, N. (2006), Series Solution for Porous Medium Equation with a Source Term by Adomian Decomposition Method, Appl. Math. Comput, 178(2), 480-485.
CR  - Pamuk, S. (2005), An Application for Linear and Nonlinear Heat Equations by Adomian’s Decompo- sition Method, Appl. Math. Comput. 163, 89-96.
CR  - Pamuk, S. ( 2005), The Decomposition Method for Continuous Population Models for Single and Interacting Species, Appl. Math. Comput. 163, 79-88.
CR  - Pamuk, S. (2005), Solution of the Porous Media Equation by Adomian’s Decomposition Method, Physics Letters A, 344, 184-188.
UR  - https://dergipark.org.tr/en/pub/twmsjaem/article/761365
L1  - https://dergipark.org.tr/en/download/article-file/1179852
ER  -