Homotopy analysis method for solving the MHD flow over a non-linear stretching sheet

2009 ◽  
Vol 14 (6) ◽  
pp. 2653-2663 ◽  
Author(s):  
Abdoul R. Ghotbi
Keyword(s):  
Homotopy Analysis Method ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Analysis Method ◽  
Non Linear ◽  
Homotopy Analysis

Homotopy Analysis Method for Radiation and Hydrodynamic-Thermal Slips Effects on MHD Flow and Heat Transfer Impinging on Stretching Sheet

2018 ◽  
Vol 388 ◽  
pp. 317-327 ◽  
Author(s):  
Fazle Mabood ◽  
Giulio Lorenzini ◽  
Nopparat Pochai ◽  
Stanford Shateyi
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Homotopy Analysis Method ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Published Data ◽  
Analysis Method ◽  
Flow And Heat Transfer ◽  
Special Cases ◽  
Homotopy Analysis

This article deals with the analytical study of MHD flow and heat transfer over a permeable stretching sheet via homotopy analysis method (HAM). The effect of thermal radiation is included in the energy equation, while velocity and thermal slips are included in the boundary conditions. The governing boundary layer equations are transformed into a set of ordinary differential equations by means of similarity transformations. The effects of different parameters on the flow field and heat transfer characteristics are examined. The results obtained were shown to compare well with the numerical results and for some special cases with the published data available in the literature, which are in favorable agreement. Keywords: MHD; Slip flow; Stretching sheet; Thermal radiation; Homotopy analysis method

A reliable treatment of the homotopy analysis method for viscous flow over a non-linearly stretching sheet in presence of a chemical reaction and under influence of a magnetic field

Open Physics ◽  
2009 ◽  
Vol 7 (1) ◽  
Author(s):  
Saeed Dinarvand
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Chemical Reaction ◽  
Homotopy Analysis Method ◽  
Stretching Sheet ◽  
Linear Differential Equations ◽  
Analysis Method ◽  
Non Linear ◽  
Homotopy Analysis ◽  
Linear Differential

AbstractThe similarity solution for the steady two-dimensional flow of an incompressible viscous and electrically conducting fluid over a non-linearly semi-infinite stretching sheet in the presence of a chemical reaction and under the influence of a magnetic field gives a system of non-linear ordinary differential equations. These non-linear differential equations are analytically solved by applying a newly developed method, namely the Homotopy Analysis Method (HAM). The analytic solutions of the system of non-linear differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. Graphical results are presented to investigate the influence of the Schmidt number, magnetic parameter and chemical reaction parameter on the velocity and concentration fields. It is noted that the behavior of the HAM solution for concentration profiles is in good agreement with the numerical solution given in reference [A. Raptis, C. Perdikis, Int. J. Nonlinear Mech. 41, 527 (2006)].

scholarly journals The Consequences of Thermal Radiation and Chemical Reactions on Magneto-hydrodynamics in Two Dimensions Over a Stretching Sheet with Jeffrey Fluid.

2021 ◽  
Author(s):  
Vijay Patel ◽  
Jigisha Pandya
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Ordinary Differential Equations ◽  
Homotopy Analysis Method ◽  
Stretching Sheet ◽  
Fluid Velocity ◽  
Jeffrey Fluid ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
The Impact

In this research paper, the Homotopy Analysis Method is used to investigate the twodimensional electrical conduction of a magneto-hydrodynamic (MHD) Jeffrey Fluid across a stretching sheet under various conditions, such as when electrical current and temperature are both present, and when heat is added in the presence of a chemical reaction or thermal radiation. Applying similarity transformation, the governing partial differential equation is transformed into terms of nonlinear coupled ordinary differential equations. The Homotopy Analysis Method is used to solve a system of ordinary differential equations. The impact of different numerical values on velocity, concentration, and temperature is examined and presented in tables and graphs. The fluid velocity reduces as the retardation time parameter(2) grows, while the fluid velocity inside the boundary layer increases as the Deborah number () increases. The velocity profiles decrease when the magnetic parameter M is increased. The results of this study are entirely compatible with those of a viscous fluid. The Homotopy Analysis Method calculations have been carried out on the PARAM Shavak high-performance computing (HPC) machine using the BVPh2.0 Mathematica tool.

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