MHD mixed convection oblique stagnation-point flow on a vertical plate. Issue 12 (4th December 2017)

• Record Type: Journal Article
• Authors: Giantesio, Giulia; Verna, Anna; Roşca, Natalia C.; Rosca, Alin V.; Pop, Ioan
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 27:Issue 12(2017)
• Page Start: 2744
• Page End: 2767
• Publication Date: 2017-12-04
• Subjects: Heat transfer -- MHD -- Boussinesq approximation -- Newtonian fluids -- Oblique stagnation-point flow; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-12-2016-0486
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: This paper aims to study the problem of the steady plane oblique stagnation-point flow of an electrically conducting Newtonian fluid impinging on a heated vertical sheet. The temperature of the plate varies linearly with the distance from the stagnation point. Design/methodology/approach: The governing boundary layer equations are transformed into a system of ordinary differential equations using the similarity transformations. The system is then solved numerically using the "bvp4c" function in MATLAB. Findings: An exact similarity solution of the magnetohydrodynamic (MHD) Navier–Stokes equations under the Boussinesq approximation is obtained. Numerical solutions of the relevant functions and the structure of the flow field are presented and discussed for several values of the parameters which influence the motion: the Hartmann number, the parameter describing the oblique part of the motion, the Prandtl number (Pr) and the Richardson numbers. Dual solutions exist for several values of the parameters. Originality value: The present results are original and new for the problem of MHD mixed convection oblique stagnation-point flow of a Newtonian fluid over a vertical flat plate, with the effect of induced magnetic field and temperature.