MME  Vol.2 No.4 , November 2012
Study on MHD Viscous Flow over a Stretching Sheet Using DTM-Pade’ Technique
ABSTRACT

In this paper, we present the study of momentum characteristics in a MHD viscous flow over a stretching sheet. First the partial differential equations of motion have been transformed to an ordinary differential equation. The analytical method called Differential Transformation Method (DTM) powered by the Pade’ approximation is applied to solve the nonlinear equation derived from MHD viscous flow over a stretching sheet, the effect of parameters variation has been investigated for two numerical cases and finally the analytical results have been compared with numerical one in a numerical case. The obtained results approve its efficiencies and capabilities beside numerical solutions achieved from Runge Kutta method.


Cite this paper
M. Azimi, D. Ganji and F. Abbassi, "Study on MHD Viscous Flow over a Stretching Sheet Using DTM-Pade’ Technique," Modern Mechanical Engineering, Vol. 2 No. 4, 2012, pp. 126-129. doi: 10.4236/mme.2012.24016.
References
[1]   T. C. Chaim, “Hydromagnetic flow over a surface stretching with a power law velocity,” International Jour- nal of Engineering Science, Vol. 33, No. 3, 1995, pp. 429-435. Hdoi:10.1016/0020-7225(94)00066-S

[2]   B. Raftari and K. Vajravel, “Homotopy Analysis Method for MHD Viscoelastic Fluid Flow and Heat Transfer in a Channel with a Stretching Wall,” Communications in Nonlinear Science and Numerical Simulation, Vol. 17, No. 11, 2012, pp. 4149-4162. Hdoi:10.1016/j.cnsns.2012.01.032

[3]   W. F. Hughes and R. A. Elco, “Magneto Hydro Dynamic Lubrication Flow between Parallel Rotating Disks,” Journal of Fluid Mechanics, Vol. 13, No. 1, 1996, pp. 21- 32. Hdoi:10.1017/S0022112062000464

[4]   M. Siddiqui and S. Irum, A. R. Ansari, “Unsteady Squeezing Flow of a Viscous MHD Fluid between Parallel Plates: A Solution Using the Homotopy Perturbation Method,” Mathematical Modelling and Analysis, Vol. 13, No. 4, 2008, pp. 565-576. Hdoi:10.3846/1392-6292.2008.13.565-576

[5]   D. D. Ganji and A. Rajabi, “Assessment of Homotopy-Perturbation and Perturbation Methods in Heat Radiation Equations,” International Communications in Heat and Mass Transfer, Vol. 33, No. 3, 2006, pp. 391-400. Hdoi:10.1016/j.icheatmasstransfer.2005.11.001

[6]   F. Shakeri, D. D. Ganji and M. Azimi, “Application of HPM-Pade’ Technique to a Jeffery-Hamel Flow Problem,” International Review of Mechanical Engineering, Vol. 6, No. 3, 2012, pp. 537-540.

[7]   M. Turkyilmazoglu, “Numerical and Analytical Solutions for the Flow and Heat Transfer Near the Equator of an MHD Boundary Layer over a Porous Rotating Sphere,” International Journal of Thermal Sciences, Vol. 50, No. 5, 2011, pp. 831-842. Hdoi:10.1016/j.ijthermalsci.2010.12.014

[8]   M. M. Rashidi, “The Modified Differential Transform Method for Solving MHD Boundary-Layer Equations,” Vol. 180, No. 11, 2009, pp. 2210-2217.

[9]   J. H. He, “Variational Iteration Method for Autonomous Ordinary Differential Systems,” Applied Mathematics and Computation, Vol. 114, No. 2-3, 2000, pp. 115-123. Hdoi:10.1016/S0096-3003(99)00104-6

[10]   G. Adomian, “A Review of the Decomposition Method in Applied Mathematics,” Journal of Mathematical Analysis and Applications, Vol. 135, No. 2, 1988, pp. 501-544. Hdoi:10.1016/0022-247X(88)90170-9

[11]   T. Hayat, Q. Hussain and T. Javed, “The Modified Decomposition Method and Padé Approximants for the MHD Flow over a Non-Linear Stretching Sheet,” Non-linear Analysis: Real World Applications, Vol. 10, No. 2, 2009, pp. 966-973. Hdoi:10.1016/j.nonrwa.2007.11.020

 
 
Top