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ISSN Печать: 2152-5102
ISSN Онлайн: 2152-5110
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THEORETICAL INVESTIGATION OF MHD CONVECTION NAVIER–STOKES FLOW OVER AN UNSTEADY STRETCHING SHEET
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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Mushtaq Asif, Farooq M Asif, Sharif Razia, Razzaq Mudassar, The impact of variable fluid properties on hydromagnetic boundary layer and heat transfer flows over an exponentially stretching sheet, Journal of Physics Communications, 3, 9, 2019. Crossref
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Rehman Sajid, Rehman Saeed Ur, Khan Aamir, Khan Zeeshan, The effect of flow distribution on heat and mass transfer of MHD thin liquid film flow over an unsteady stretching sheet in the presence of variational physical properties with mixed convection, Physica A: Statistical Mechanics and its Applications, 551, 2020. Crossref