Analytical approach to heat and mass transfer in MHD free convection from a moving permeable vertical surface

作者：Asgharian Ataollah^*; Ganji Davood D; Soleimani Soheil; Asgharian Sina; Zade Nima Sedaghaty; Mohammadi Behzad

来源：Mathematical Methods in the Applied Sciences, 2011, 34(18): 2209-2217.

DOI：10.1002/mma.1517

• homotopy analysis method (HAM)
• MHD
• free convection
• suction/injection
• permeable vertical surface
• magnetic field strength parameter

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.

• 出版日期2011-12