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DIFFERENTIAL TRANSFORMATION METHOD-PADÉ TREATMENT FOR MAGNETOHYDRODYNAMIC SLIP FLOWS OF UPPER-CONVECTED MAXWELL FLUIDS ABOVE POROUS STRETCHING SHEETS

Volumen 9, Edición 4, 2018, pp. 379-397
DOI: 10.1615/SpecialTopicsRevPorousMedia.2018022134
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SINOPSIS

The objective of the present work is to give an analytical treatment to the problem of the laminar magnetohydrodynamic (MHD) slip flow of an upper-convected Maxwell (UCM) fluid above a porous isothermal stretching sheet. Here the effects of parameters such as elasticity number, suction/injection velocity, velocity slip, and magnetic number on the velocity field above the sheet have been studied. The results of the present study have been compared with the corresponding earlier published results of Alizadeh-Pahlavan et al. (Commun. Nonlinear Sci. Numer. Simul., vol. 14, no. 2, pp. 423–488, 2009), Raftari and Yildirim (Comput. Math. Appl., vol. 59., no. 10, pp. 3328–3337, 2010), and Saadatmandi and Sanatkar (Int. J. Numer. Methods Heat Flow Flows, vol. 26, no. 7, pp. 2218–2234, 2016). Our results have been found in excellent agreement. In the present analysis, the governing equation has been solved analytically by using a newly developed method called DTM-Padé technique that combines the differential transformation method (DTM) with the Padé approximation. Finally, it has been concluded that DTM-Padé technique is an efficient method to solve highly nonlinear ordinary differential equations (ODEs) governing various problems in science, and engineering.

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