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Research Article

Academia Journal of Scientific Research 5(11): 577-586, November 2017
DOI: 10.15413/ajar.2017.0147
ISSN: 2315-7712
2017 Academia Publishing 

Abstract

 


Analyzing irreversibility of heat transfer for a Non-Newtonian power-law flow with power-law temperature using differential transform method
 

Accepted 13th September, 2017

 
Yinwei Lin and C.K. Chen

Department of Mechanical Engineering, National Cheng Kung University, Taiwan.

 

In the present paper, the differential transform method (DTM) with shooting method is applied to solve the non-Newtonian power-law flow problem. The governing partial differential equations are transformed to ordinary differential equations (ODE) with fractional order. Traditionally, the non-Newtonian power-law flow problem is numerically solved. However, numerical solution could not easily differentiate and integrate because the data is discrete. As such the DTM for the flow is presented. Using DTM, the analytic solution of the non-Newtonian power-law flow could be differentiable and integrated. The present method is more reliable and efficient in obtaining the numerical solutions that match well with those from the fourth-order Runge-Kutta method, which is considered close to the exact solution. Moreover, the effects of different parameters (suction number) on the irreversibility (such as,, are analyzed and discussed.

Keywords: Power-law, entropy generation, irreversibility, differential transform, DTM.
 

This is an open access article published under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article as:
Lin Y, Chen CK (2017). Analyzing irreversibility of heat transfer for a Non-Newtonian power-law flow with power-law temperature using differential transform method. Acad. J. Sci. Res. 5(11): 577-586.

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