Adomian Decomposition Method for a stepped fin space radiator with internal heat generation

Author(s):  
Rohit K. Singla ◽  
Ranjan Das
2019 ◽  
Vol 8 (1) ◽  
pp. 145-156
Author(s):  
Trushit Patel ◽  
Ramakanta Meher

Abstract In this paper, the temperature distribution in a convective radial fins is analyzed through a fractional order energy balance equation with the consideration of internal heat generation and temperature dependent thermal conductivity. Adomian decomposition Sumudu transform method is used to study the influence of temperature distribution and the efficiency of radial fins for different values of thermal conductivity and to determine the role of thermal conductivity, thermo-geometric fin parameter as well as fractional order values in finding the temperature distribution and the fin efficiency of the convective radial fins. Finally, the efficiency of this proposed method has been studied by comparing the obtained results with the classical order results obtained by using numerical method and Variational Iteration Method (Coskun and Atay, 2007).


2017 ◽  
Vol 378 ◽  
pp. 102-112 ◽  
Author(s):  
Abiodun A. Opanuga ◽  
Hilary I. Okagbue ◽  
Olasumbo O. Agboola ◽  
Ogbu F. Imaga

This paper presents the entropy generation analysis of buoyancy effect with internal heat generation on a viscous incompressible non-Newtonian hydromagnetic Poiseuille flow through vertical isothermal walls. The solution of the non-linear boundary value problems obtained from the governing equations is constructed via the rapidly convergent semi-analytical technique of Adomian decomposition. Graphs and table are presented to analyse the effects of some parameters on fluid motion, temperature, entropy generation and irreversibility ratio.


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