Influence of induced magnetic field and slip conditions on convective Prandtl fluid flow over a stretching surface with homogeneous and heterogeneous reactions
29 May 2020-Multidiscipline Modeling in Materials and Structures (Emerald Publishing Limited)-Vol. 17, Iss: 1, pp 127-147
TL;DR: In this paper, the authors investigated the homogeneous and heterogeneous reactions on Prandtl fluid flow at a stretching sheet with an induced magnetic field and slip boundary conditions, and the results of the present investigation are presented through graphs for different values of the various parameters.
Abstract: The aim of the present paper is to investigate the homogeneous and heterogeneous reactions on Prandtl fluid flow at a stretching sheet with an induced magnetic field and slip boundary conditions.,The governing equations include the continuity, induced magnetic field, momentum, energy and homogeneous–heterogeneous equations. Initially, with suitable similarity variables, the governing partial differential equations and converted into a system of ordinary differential equations. Then, the nonlinear ordinary differential equations are solved by a shooting technique with the help of the BVC5C Matlab package.,The results of the present investigation are presented through graphs for different values of the various parameters. The authors observed that the large values of the stretching ratio and the induced magnetic parameters are moderate magnetic field, velocity and temperature primarily. Also, the authors found the more velocity and temperatures by boosting the slip parameters.,In addition, the values of the skin friction and the rate of heat transfer for various values of physical parameters are tabulated and deliberated in detail.
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$$\hbox {Al}_{2}\hbox {O}_{3})$$
, titanium oxide (
$$\hbox {TiO}_{2})$$
, and magnesium oxide (MgO). The basic equations of this investigation are transmuted into a system of nonlinear and coupled ODEs using suitable similarity variables and elucidated numerically by R.-K. Fehlberg-based shooting technique. Influences of the pertinent parameters on the velocity, the temperature and the concentration distributions are deliberated with the assistance of graphs and tables. This study depicts that $$\hbox {Al}_{2}\hbox {O}_{3}$$
nanofluid has greater velocity since it has less dense nanoparticles compared to other nanoparticles. However, Cu-nanofluid has greater heat transfer due to greater thermal conductivity. Further, we identified that the thermal boundary layer thickness can be increased with the help of the viscous dissipation parameter. The inclination angle of the magnetic field strengthens the magnetic field on the fluid flow
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Journal Article•
TL;DR: In this paper, the influence of slip and heat transfer on peristaltic transport of Jeffrey fluid in a vertical asymmetric channel with porous medium is discussed. And the impact of various physical parameters on the velocity, the temperature and the pressure rise are discussed through graphs.
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References
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TL;DR: In this article, the boundary-layer behavior on continuous surfaces is examined, and the basic differential and integral momentum equations of boundary layer theory are derived for such surfaces, for both laminar and turbulent flow in the boundary layer.
Abstract: This study deals with boundary-layer flow on continuous solid surfaces. Flow of this type represents a new class of boundary-layer problems, with solutions substantially different from those for boundary-layer flow on surfaces of finite length. In this paper the boundary-layer behavior on continuous surfaces is examined, and the basic differential and integral momentum equations of boundary-layer theory are derived for such surfaces. In subsequent papers these equations will be solved for the boundary layer on a moving continuous flat surface and a moving continuous cylindrical surface, for both laminar and turbulent flow in the boundary layer.
2,061 citations
TL;DR: In this paper, temperature dependent thermal conductivity in stagnation point flow toward a nonlinear stretched surface with variable thickness is considered, and convergence series solution for flow of Jeffrey fluid and heat and mass transfer are developed.
649 citations
TL;DR: Magnetohydrodynamic (MHD) stagnation point flow of Casson fluid towards a stretching sheet is addressed and Graphical behaviors of velocity, temperature and concentration are analyzed comprehensively.
630 citations
TL;DR: In this paper, the homotopy analysis method is employed to give analytic solutions of magnetohydrodynamic viscous flows of non-Newtonian fluids over a stretching sheet.
Abstract: A powerful, easy-to-use analytic technique for nonlinear problems, the homotopy analysis method, is employed to give analytic solutions of magnetohydrodynamic viscous flows of non-Newtonian fluids over a stretching sheet. For the so-called second-order and third-order power-law fluids, the explicit analytic solutions are given by recursive formulas with constant coefficients. Also, for real power-law index and magnetic field parameter in a quite large range, an analytic approach is proposed. All of our analytic results agree well with numerical ones. In particular, a simple analytic formula of the dimensionless velocity gradient at the wall is found, which is accurate for all real power-law indices and magnetic field parameters. This analytic formula can give sufficiently accurate results for the skin friction on the moving sheet that it would find wide application in industries. Physically, they indicate that the magnetic field tends to increase the skin friction, and that this effect is more pronounced for shear-thinning than for shear-thickening fluids.
566 citations
TL;DR: In this article, an exact analytical solution of the governing non-linear boundary layer equation is obtained, showing that an external magnetic field has the same effect on the flow as the viscoelasticity.
Abstract: The flow of a viscoelastic fluid past a stretching sheet in the presence of a transverse magnetic field is considered. An exact analytical solution of the governing non-linear boundary layer equation is obtained, showing that an external magnetic field has the same effect on the flow as the viscoelasticity.
400 citations