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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Печать: 2152-5102
ISSN Онлайн: 2152-5110

Выпуски:
Том 46, 2019 Том 45, 2018 Том 44, 2017 Том 43, 2016 Том 42, 2015 Том 41, 2014 Том 40, 2013 Том 39, 2012 Том 38, 2011 Том 37, 2010 Том 36, 2009 Том 35, 2008 Том 34, 2007 Том 33, 2006 Том 32, 2005 Том 31, 2004 Том 30, 2003 Том 29, 2002 Том 28, 2001 Том 27, 2000 Том 26, 1999 Том 25, 1998 Том 24, 1997 Том 23, 1996 Том 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2018021116
pages 203-223

THEORETICAL INVESTIGATION OF MHD CONVECTION NAVIER–STOKES FLOW OVER AN UNSTEADY STRETCHING SHEET

Rehan Ali Shah
Department of Basic Sciences and Islamiat, University of Engineering and Technology Peshawar, Peshawar, KPK, Pakistan
Sajid Rehman
Islamia College Peshawar
M. Idrees
Department of Mathematics, Islamia College Peshawar, Khyber Pakhtoon Khwa, Pakistan
Tariq Abbas
Department of Basic Sciences, Sarhad University Peshawar, Khyber Pakhtoon Khwa, Pakistan

Краткое описание

In this paper, electrically conducted Newtonian flow under nonisothermal condition over an unsteady stretching sheet is studied. We considered the effect of a magnetic field normal to the direction of the flow while surface tension linearly varied with temperature. The boundary layer Navier–Stokes and energy equations in Cartesian coordinates are transformed into a system of nonlinear ordinary differential equations (ODEs) by the similarity transformation. Clear observation is made between the study of our previous two papers and the present work for the obtained values of ϒ and f ''(0), while comparison of the values β = ϒ1/2, f '(1), and f ''(1) is observed between the present work and the work of the previous two papers. Analyses are carried out by means of the homotopy analysis method (HAM) up to a satisfactory order of approximations via Mathematica package BVPh2.0. Here the nondimensional Grashof number gives the relative strength, i.e., which force is dominating, because it is the ratio of buoyancy force to viscous force. Effects of nondimensional values such as unsteadiness parameter S, Hartmann number Ma, skin friction f''(0), Prandtl number Pr, thermocapillary number M, heat flux − θ'(0), free surface temperature θ(1), and the Grashof number Gr are discussed and presented graphically.


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