Analysis of skin friction in MHD Falker–Skan flow problem

Abstract

3 A new, accurate and general formula for evaluating the skin friction parameter in a Magneto-Hydrodynamics (MHD) Falkner-4 Skan flow over a permeable wall was obtained. The formula gives the value of the skin friction of the problem in an infinite 5 interval (0, ∞) for all various values of the parameters involved. Shooting method via Runge-Kutta method for solving two-point 6 boundary value problem in a truncated interval (0, L) is used to compare the results obtained. It was observed that the percentage 7 difference between the two sets of results is very small.8

Analysis of the MHD Boundary Layer Flow over a Nonlinear Stretching Sheet in a Porous Medium Using Semianalytical Approaches

“…e set of nonlinear ODEs (2)-( 6) with described BCs is solved with the symbolic computational software MAPLE by using various standard techniques. e comparison with previous studies is discussed in Tables 1 and 2 [2,8]. e skin friction coefficient f ″ (0), the rate of heat transfer θ ′ (0), and the mass transfer rate ϕ ′ (0) are tabulated in Tables 3-5 for various values of relevant parameters.…”

“…Bhargava and Chandra had studied the numerical solution of heat transfer analysis and MHD flow around a nonlinear stretching sheet fixed in a porous medium [7]. Also, Alinejad and Samarbakhsh [4] investigated viscous flow with heat dissipation on a nonlinear stretching sheet [1,8], while Zaimi et al worked with a permeable stretching sheet with viscous effects. Later, Dessie et al [8,9,10] amplified Zaimi's work by making a part of MHD flow with viscous dissipation effects [7].…”

“…Also, Alinejad and Samarbakhsh [4] investigated viscous flow with heat dissipation on a nonlinear stretching sheet [1,8], while Zaimi et al worked with a permeable stretching sheet with viscous effects. Later, Dessie et al [8,9,10] amplified Zaimi's work by making a part of MHD flow with viscous dissipation effects [7]. Recently, Oderinu et al and Bhargava et al [7,8] solved the MHD partial differential equations and obtained the results in the form of series solutions with slip BCs in the porous medium.…”

“…Later, Dessie et al [8,9,10] amplified Zaimi's work by making a part of MHD flow with viscous dissipation effects [7]. Recently, Oderinu et al and Bhargava et al [7,8] solved the MHD partial differential equations and obtained the results in the form of series solutions with slip BCs in the porous medium. In many extents of engineering and industrial areas of interest, the flow through porous media plays an important role in MHD flow meters, MHD pumps, and MHD power generators [3,4].…”

Homotopy Analysis Decomposition Method for the Solution of Viscous Boundary Layer Flow Due to a Moving Sheet

“…Since the analytical solutions for these set of nonlinear problems are difficult, an approximate methods for solving them have been getting concentration. Among the methods are Adomian decomposition method [3,4], homotopy analysis method [5,6,7], variational iteration method [8,9], homotopy perturbation method [10,11], weighted residual method [12,13], and their respective modifications have been equally implemented to increase convergent rate or for better understanding. One of our aim is to incorporate the well know Adomian polynomial into homotopy analysis method to have better understanding of HAM that requires repetition of summations when dealing with strongly nonlinear equation, and secondly to check the behavior of the skin friction by using Pade Approximants.…”