scholarly journals MHD Mixed Convection Boundary Layer Flow Toward a Stagnation Point on a Vertical Surface With Induced Magnetic Field

2010 ◽  
Vol 133 (2) ◽  
Author(s):  
F. M. Ali ◽  
R. Nazar ◽  
N. M. Arifin ◽  
I. Pop
Keyword(s):  
Magnetic Field ◽  
Mixed Convection ◽  
Stagnation Point ◽  
Vertical Surface ◽  
Dual Solutions ◽  
Convection Boundary Layer ◽  
Induced Magnetic Field ◽  
Electrically Conducting ◽  
Implicit Finite Difference Scheme ◽  
Layer Flow

In this paper, the steady magnetohydrodynamic (MHD) mixed convection stagnation point flow of an incompressible, viscous, and electrically conducting fluid over a vertical flat plate is investigated. The effect of induced magnetic field is taken into account. Numerical results are obtained using an implicit finite-difference scheme. Both assisting and opposing flows are considered. The results for skin friction, heat transfer, and induced magnetic field coefficients are obtained and discussed for various parameters. The velocity, temperature, and induced magnetic field profiles are also presented. For the case of the opposing flow, it is found that dual solutions exist for a certain range of the buoyancy parameter. Dual solutions are also obtained for the assisting flow.

scholarly journals MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field

2019 ◽  
Vol 30 (11) ◽  
pp. 4697-4710 ◽  
Author(s):  
Fadzilah Md Ali ◽  
Kohilavani Naganthran ◽  
Roslinda Nazar ◽  
Ioan Pop
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Stability Analysis ◽  
Mixed Convection ◽  
Stagnation Point ◽  
Stagnation Point Flow ◽  
Convection Boundary Layer ◽  
Induced Magnetic Field ◽  
Content Type ◽  
The Stability

Purpose This study aims to perform a stability analysis on a steady magnetohydrodynamic (MHD) mixed convection boundary-layer stagnation-point flow of an incompressible, viscous and electrically conducting fluid over a vertical flat plate. The effect of induced magnetic field is also considered. 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 Dual solutions are found to exist for a certain range of the buoyancy parameter for both the assisting and opposing flows. The results from the stability analysis showed that the first solution (upper branch) is stable and valid physically, while the second solution (lower branch) is unstable. Practical implications This problem is important in many metallurgical processes, namely, drawing, annealing and tinning of copper wires. The results obtained are very useful for researchers to determine which solution is physically stable, whereby mathematically more than one solution exists for the skin friction coefficient and the heat transfer characteristics. Originality/value The present results of the stability analysis are original and new for the problem of MHD mixed convection stagnation-point flow of viscous conducting fluid over a vertical flat plate, with the effect of induced magnetic field.

scholarly journals Magnetohydrodynamic flow and heat transfer of a Jeffrey fluid towards a stretching vertical surface

2017 ◽  
Vol 21 (1 Part A) ◽  
pp. 267-277 ◽  
Author(s):  
Kartini Ahmad ◽  
Anuar Ishak
Keyword(s):  
Differential Equations ◽  
Mixed Convection ◽  
Stagnation Point ◽  
Transverse Magnetic ◽  
Vertical Surface ◽  
Deborah Number ◽  
Jeffrey Fluid ◽  
Convection Boundary Layer ◽  
Flow And Heat Transfer ◽  
Layer Flow

This study investigates the steady-mixed convection boundary layer flow near a stagnation point that runs about a linearly stretched vertical surface filled with a Jeffery fluid in the presence of a transverse magnetic field. It is assumed that the external velocity impinges normally to the wall and the wall temperature varies linearly with the distance from the stagnation point. The governing partial differential equations that govern the fluid flow are transformed into a set of coupled ordinary differential equations, which are then solved numerically using a finite-difference scheme. The numerical results are presented for some values of parameters, namely the Deborah number ?, the Prandtl number Pr, the magnetic parameter M and the mixed convection parameter ?, for both assisting and opposing flows.

scholarly journals THERMAL RADIATION EFFECT ON MHD NATURAL CONVECTION BOUNDARY LAYER FLOW OVER A PLATE WITH SUCTION (INJECTION) AND VARIABLE VISCOSITY

2017 ◽  
Vol 5 (4RAST) ◽  
pp. 52-58
Author(s):  
Jalaja P ◽  
Venkataramana B.S ◽  
Naveen V ◽  
K.R. Jayakumar
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Natural Convection ◽  
Thermal Radiation ◽  
Boundary Layer Flow ◽  
Variable Viscosity ◽  
Convection Boundary Layer ◽  
Implicit Finite Difference Scheme ◽  
Convection Boundary ◽  
Layer Flow

The effect of thermal radiation on steady natural convection boundary layer flow over a plate with variable viscosity and magnetic field has been studied in this paper. The effect of suction and injection is also considered in the investigation. The system of partial differential equations governing the nonsimilar flow has been solved numerically using implicit finite difference scheme along with a quasilinearization technique. The thermal radiation has significant effect on heat transfer coefficient and thermal transport in presence of viscosity variation parameter and magnetic field in case of suction and injection.

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