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Analytical approach to heat and mass transfer in MHD free convection from amoving permeable vertical surface
Author(s) -
Asgharian Ataollah,
Ganji Davood D.,
Soleimani Soheil,
Asgharian Sina,
Sedaghaty zade Nima,
Mohammadi Behzad
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1517
Subject(s) - prandtl number , homotopy analysis method , mathematics , magnetohydrodynamics , schmidt number , matrix similarity , boundary layer , mathematical analysis , buoyancy , mass transfer , shooting method , magnetic field , mechanics , heat transfer , boundary value problem , homotopy , partial differential equation , physics , quantum mechanics , pure mathematics
An analytical study is performed on heat and mass transfer in MHD‐free convection from a moving permeable vertical surface and the results are compared with previous works on this phenomenon to test the validity. The coupled equations of boundary layer are transformed from their non‐linear form to ordinary form using similarity transformation and then are solved by a newly developed method, homotopy analysis method. Having different base functions, homotopy analysis method provides us with great freedom in choosing the solution of a nonlinear problem. Solving the boundry layer equations, the effects of different parameters such as magnetic field strength parameter ( M ), Prandtl number (Pr), Schmidt number ( Sc ), buoyancy ratio and suction/blowing parameter ( f w ) on velocity, temperature, and concentration profiles are taken into consideration. Obtained results show that increment of magnetic field strength parameter ( M ) leads to decrease in velocity profile. Copyright © 2011 John Wiley & Sons, Ltd.