TY - JOUR
T1 - MHD mixed convection oblique stagnation-point flow on a vertical plate
AU - Giantesio, Giulia
AU - Verna, Anna
AU - Roşca, Natalia C.
AU - Rosca, Alin V.
AU - Pop, Ioan
PY - 2017
Y1 - 2017
N2 - 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 inMATLAB. 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.
AB - 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 inMATLAB. 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.
KW - Applied Mathematics
KW - Boussinesq approximation
KW - Computer Science Applications1707 Computer Vision and Pattern Recognition
KW - Heat transfer
KW - MHD
KW - Mechanical Engineering
KW - Mechanics of Materials
KW - Newtonian fluids
KW - Oblique stagnation-point flow
KW - Applied Mathematics
KW - Boussinesq approximation
KW - Computer Science Applications1707 Computer Vision and Pattern Recognition
KW - Heat transfer
KW - MHD
KW - Mechanical Engineering
KW - Mechanics of Materials
KW - Newtonian fluids
KW - Oblique stagnation-point flow
UR - http://hdl.handle.net/10807/109071
UR - http://www.emeraldinsight.com/info/journals/hff/hff.jsp
U2 - 10.1108/HFF-12-2016-0486
DO - 10.1108/HFF-12-2016-0486
M3 - Article
SN - 0961-5539
VL - 27
SP - 2744
EP - 2767
JO - INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
JF - INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
ER -