Analysis of Non-Darcy MHD Flow of a Casson Fluid over a Non-linearly Stretching Sheet with Partial Slip in a Porous Medium

Abstract

In this paper, we have analysed the non-Darcy MHD flow of a Casson fluid over a nonlinearly stretching sheet in a porous medium. In the mathematical model, using similarity variables, the momentum equation is transformed to non-dimensional ordinary differential equation. And then it is solved numerically using bvp4c method, a Matlab in- built bvp4c-programm. A discussion for the effects of the parameters involved on the boundary layer thickness and the magnitude of the velocity and skin friction has been done graphically and numerically using figures and tables.

Dynamical behavior for the approximate solutions and different wave profiles nonlinear fractional generalised pochhammer-chree equation in mathematical physics

“…with a normalize functions λ(α) which is depend on α ∈ λ(0) = λ(1) = 1. Definition 2.5 For CFD for integer order of 0 < α < 1. is given by [6][7][9][10][11][12][13][14][15][16][17][18][19] CF 0…”

“…First,ourself receive the solutions for existence and uniqueness. And other research solved timefractional generalised analytical-approximate solutions PC equations for waves publicity of an elastic rod using the q-homotopy analysis of the transform method [13][14][15], Modulation instability analysis [16], Hydro-magnetic [17], solitary wave [18], Carreau fluid [19], kink wave [20], Existence and Uniqueness [21,24], Hilbert space [22], natural reduced differential transform method [23], iterative Laplace transform method [25], tanh-coth and the sine-cosine methods [26], explicit fourthorder time stepping methods [27], decomposition method [28], weierstrass elliptic function method [30], modified F-expansion methods [31], global existence [32], generalized exponential rational function (GERF) technique [33][34], bernoulli sub-equation function method [35], lie group method [36], fractional natural decomposition method [37], modified exponential method [39], residual power series method [40], adams-bashforth scheme [41], laplace transform [42][43], conformable derivative [44,47], Mittag-Leffler function [45], caputo derivatives [46], Sumudu transform [48],and so on [49][50][51][52][53]…”