Exact and asymptotic solutions to magnetohydrodynamic flow over a nonlinear stretching sheet with a power-law velocity by the homotopy renormalization method

2019 ◽  
Vol 31 (6) ◽  
pp. 063606 ◽  
Author(s):  
Yue Kai ◽  
Bailin Zheng ◽  
Kai Zhang ◽  
Wenlong Xu ◽  
Nan Yang
Keyword(s):  
Power Law ◽  
Stretching Sheet ◽  
Magnetohydrodynamic Flow ◽  
Asymptotic Solutions ◽  
Renormalization Method ◽  
Nonlinear Stretching ◽  
Homotopy Renormalization Method

scholarly journals Variational Iteration Method for the Magnetohydrodynamic Flow over a Nonlinear Stretching Sheet

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Lan Xu ◽  
Eric W. M. Lee
Keyword(s):  
Boundary Layer ◽  
Iteration Method ◽  
Stretching Sheet ◽  
Nonlinear Differential Equations ◽  
Variational Iteration Method ◽  
Magnetohydrodynamic Flow ◽  
Boundary Layer Problem ◽  
Variational Iteration ◽  
Nonlinear Stretching ◽  
Layer Problem

The variational iteration method (VIM) is applied to solve the boundary layer problem of magnetohydrodynamic flow over a nonlinear stretching sheet. The combination of the VIM and the Padé approximants is shown to be a powerful method for solving two-point boundary value problems consisting of systems of nonlinear differential equations. And the comparison of the obtained results with other available results shows that the method is very effective and convenient for solving boundary layer problems.

Asymptotic analysis to Von Kármán swirling-flow problem

2019 ◽  
Vol 33 (25) ◽  
pp. 1950298 ◽  
Author(s):  
Chun-Yan Wang
Keyword(s):  
Asymptotic Analysis ◽  
Numerical Simulations ◽  
High Precision ◽  
Flow Problem ◽  
Swirling Flow ◽  
Asymptotic Solutions ◽  
Von Karman ◽  
Renormalization Method ◽  
Von Kármán ◽  
Homotopy Renormalization Method

In this paper, we consider the Von Kármán swirling-flow problem, which is described by an ordinary equations system. The explicit asymptotic solutions are given by applying the homotopy renormalization method. Furthermore, the numerical simulations verify that our asymptotic solutions have high precision and the absolute errors are less than 0.03, which means that the results obtained are truly valid and can be used practically.

On magnetohydrodynamic flow of second grade nanofluid over a nonlinear stretching sheet

2016 ◽  
Vol 408 ◽  
pp. 99-106 ◽  
Author(s):  
Tasawar Hayat ◽  
Arsalan Aziz ◽  
Taseer Muhammad ◽  
Bashir Ahmad
Keyword(s):  
Stretching Sheet ◽  
Magnetohydrodynamic Flow ◽  
Second Grade ◽  
Nonlinear Stretching
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