Thin film flow of non‐Newtonian MHD fluid on a vertically moving belt

Abstract

SUMMARYThin film flow of an Oldroyd 6-constant fluid on a vertical moving belt is investigated analytically and numerically. The governing equations for the flow field are derived for a steady one-dimensional flow. The effect of constant applied magnetic field is included and its influence on the flow field is studied. The nonlinear governing equations are solved analytically and the exact solution is obtained in an elegant way. Numerical solutions are also obtained using higher-order Chebyshev spectral methods. The influence of various non-Newtonian parameters, gravitational force and applied magnetic field is investigated. The results showing the effect of gravity, magnetic field and material constants 1 and 2 are presented.

Series Solution of Three Dimensional Peristaltic Flow of Prandtl Fluid in a Rectangular Channel

“…Some of them can be cited in refs. [2][3][4][5]. The studies of peristaltic flows of Newtonian and non-Newtonian fluid have been investigated by many researchers [6][7][8][9][10].…”

Blood flow of nanofluid through an artery with composite stenosis and permeable walls

“…Therefore to understand the mechanics of the circulation of blood, it would be a prerequisite to have a clear idea of the basic mechanics of fluids. Some of the basic studies dealing withdifferent models of Newtonian and non-Newtonian fluid are given in Naz et al (2008), Tripathi et al (2010), Shukla and Rahman (1998), Hameed and Ellahi (2011) and Ellahi et al (2012). A number of theoretical studies related to blood flow through stenosis arteries has been performed by Akbar (2009, 2011).…”

Lifting of a Jeffrey fluid on a vertical belt under the simultaneous effects of magnetic field and wall slip conditions

“…The interested reader is referred to see [1][2][3][4][5][6][7][8][9], and the references therein. It is also recognized that many fluids commonly used in industry differ greatly from the Newtonian behavior in their rheology.…”

“…A survey of the literature indicates that a significant research has been conducted for the thin film flows of nonNewtonian fluids in different geometries [2][3][4][5][6][7][8]. However, very little attention has been given to the study of MHD effects on thin film flows of non-Newtonian fluids [4][5][6][7][8].…”

“…However, very little attention has been given to the study of MHD effects on thin film flows of non-Newtonian fluids [4][5][6][7][8]. The study of flow of electrically conducting fluids has occurred in many engineering problems, such as MHD generators, MHD pumps, plasma studies, nuclear reactors, the boundary layer control in the field of aerodynamics etc.…”