Title: Modified Laplace Adomian decomposition method for analysing the entropy generation of Sakiadis flow with radiation effect

Authors: Yinwei Lin; Kuei-Hao Chang; Cha'o-Kuang Chen

Addresses: Department of Mathematics and Finance, Putian University, Fujian Province, 351100, China ' Research and Services Headquarters and Technology Transfer and Business Incubation Center, National Cheng Kung University, Tainan,700, Taiwan ' Department of Mechanical Engineering, National Cheng Kung University, Tainan, 700, Taiwan

Abstract: In the recent paper, the modified Adomian decomposition method (ADM) with shooting method is applied to solve the Sakiadis flow problem. Traditionally, Sakiadis flow problem is solved numerically. However, a numerical solution could not easily differentiate and integrate because the data is discrete. In order to improve the problem, firstly, the analytic solution for the Sakiadis flow problem must be not discrete, so that the governing equations of Sakiadis flow could be differentiable and integrated. Hence, in this paper, the analytic solution can be obtained by using modified ADM with shooting method. Secondly, standard ADM only can get small interval, the analytic solution will diverge rapidly for a larger interval. The present method uses Modified Laplace ADM to converge the solution of the Sakiadis flow in the large interval. So this method is reliable and efficient in obtaining the analytic solution solutions that match well with those from the Runge-Kutta method, which is considered close to the exact solution. Finally, the entropy generation of the Sakiadis flow with radiation effect has been studied. The distribution of the entropy generation is discussed by discussing some parameters. For example, Pr, NR, Nsh, Nsf, Nsx, Be number.

Keywords: Sakiadis; Adomian; ADM; Adomian decomposition method; nonlinearity; entropy generation; irreversibility.

DOI: 10.1504/IJEX.2017.086858

International Journal of Exergy, 2017 Vol.24 No.1, pp.21 - 38

Received: 24 Dec 2016
Accepted: 04 Jun 2017

Published online: 01 Oct 2017 *

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