Hydromagnetic Viscous Fluid Over a Non-Linear Stretching and Shrinking Sheet in the Presence of Thermal Radiation

Abstract

In this paper, the effects of suction/blowing and thermal radiation on a hydromagnetic viscous fluid over a non-linear stretching and shrinking sheet are investigated. A similarity transformation is used to reduce the governing equations to a set of nonlinear ordinary differential equations. The system of equations is solved analytically employing homotopy analysis method (HAM). Convergence of the HAM solution is checked. The resulting similarity equations are solved numerically using Matlab bvp4c numerical routine. It is found that dual solutions exist for this particular problem. The comparison of analytical solution and numerical solution for the velocity profile is an excellent agreement.

Analysis of Laminar Boundary-Layer Flow Over a Moving Wedge Using a Uniform Haar Wavelet Method

“…Sachdev et al (2008) made an analysis to the Falkner-Skan problem along with wedge moving and gave an exact solution to all values of power-law parameter. The various aspects of the Falkner-Skan equation have been solved using Chebyshev pseudo spectral method (Srinivasacharya and Jagadeeshwar (2017)), the Differential transform method (Rashidi and Erfani (2011)), Keller-box method (Ishak et al (2007)), Homotopy analysis method (Abdelmeguid (2017)), Finite difference method (Govindaraj et al (2020)) etc. In fact, the analysis of boundary-layer flow of Newtonian/non-Newtonian fluid models associated with heat transfer, porous stretching medium, thermal radiation etc., has been addressed extensively in the recent literature due to its important impacts on the behaviours of the fluid flow (Bhattacharyya (2012); Kumaresan and Kumar (2017); Ganapathirao et al (2019)) Wavelet analysis is a new branch of applied mathematics which is widely applied in signal analysis, image processing, numerical analysis, etc.…”

Homotopy Analysis for laminar thermal boundary layer over a flat plate with a convective surface boundary condition

“…This method has been introduced by Liao in 1992 [4][5][6][7][8][9]. The method has been used by many authors [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] in a wide variety of scientific and engineering applications to solve different types of governing differential equations: linear and nonlinear, homogeneous and non-homogeneous, and coupled and decoupled as well. This method offers highly accurate successive approximations of the solution.…”