EXACT SOLUTIONS FOR MHD NATURAL CONVECTION FLOW NEAR AN OSCILLATING PLATE EMERGED IN A POROUS MEDIUM

2012 ◽  
Vol 57 (1) ◽  
Author(s):  
ABDULHAMEED MOHAMMED ◽  
ILYAS KHAN ◽  
SHARIDAN SHAFIE
Keyword(s):  
Natural Convection ◽  
Analytical Investigation ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Moving Plate ◽  
Laplace Transform Technique ◽  
Model Equations ◽  
Oscillating Plate ◽  
Special Case ◽  
Infinite Vertical Plate

Analytical investigation was conducted on the transient natural convection flow past an oscillating infinite vertical plate in present of magnetic field and radiative heat transfer. The classical solution of this problem for impulsively moving plate is given by Seth in [2] and is found to be a special case of the solution to be presented. The governing model equations are solved analytically with the help of Laplace transform technique. The results are expressed in terms of the velocity and temperature profiles as well as the skin-friction and Nusselt number.

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

2013 ◽  
Vol 68 (10-11) ◽  
pp. 659-667 ◽  
Author(s):  
Constantin Fetecau ◽  
Dumitru Vieru ◽  
Corina Fetecau ◽  
Shahraz Akhter
Keyword(s):  
Natural Convection ◽  
Radiative Heat ◽  
Fluid Motion ◽  
Slip Condition ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Moving Plate ◽  
General Solutions ◽  
Special Cases ◽  
Laplace Transform Technique

General solutions for the magnetohydrodynamic (MHD) natural convection flow of an incompressible viscous fluid over a moving plate are established when thermal radiation, porous effects, and slip condition are taken into consideration. These solutions, obtained in closed-form by Laplace transform technique, depend on the slip coefficient and the three essential parameters Gr, Preff, and Keff. They satisfy all imposed initial and boundary conditions and can generate a large class of exact solutions corresponding to different fluid motions with technical relevance. For illustration, two special cases are considered and some interesting results from the literature are recovered as limiting cases. The influence of pertinent parameters on the fluid motion is graphically underlined.

NATURAL CONVECTION FLOW PAST AN OSCILLATING PLATE WITH NEWTONIAN HEATING

2014 ◽  
Vol 45 (2) ◽  
pp. 119-135 ◽  
Author(s):  
Abid Hussanan ◽  
Muhammad Imran Anwar ◽  
Farhad Ali ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Natural Convection ◽  
Convection Flow ◽  
Newtonian Heating ◽  
Natural Convection Flow ◽  
Flow Past ◽  
Oscillating Plate

Unsteady Free-Convection Flow on a Vertical Oscillating Porous Plate With Constant Heating

2008 ◽  
Vol 76 (1) ◽  
Author(s):  
C. J. Toki
Keyword(s):  
Free Convection ◽  
Porous Plate ◽  
Convection Flow ◽  
Heating Effects ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Suction Or Injection ◽  
Constant Heating ◽  
Oscillating Plate ◽  
Special Case

In this paper, we consider the unsteady free-convection flows of a viscous and incompressible fluid near an oscillating porous infinite vertical plate (or wall) during the heating of the plate. The governing equations are solved in closed form by the Laplace transform technique, when the Prandtl number (Pr) of the fluid is arbitrary and the suction (or injection) is constant. This solution is applied for a special case of the constant heating effects from the harmonically oscillating plate. The resulting velocity and temperature are shown graphically and are also discussed for the case of air (Pr=0.71) or water (Pr=7.0) flows.

scholarly journals Transient development of MHD natural convection flow in vertical concentric annulus

2020 ◽  
Vol 9 (1) ◽  
pp. 58
Author(s):  
Basant K. Jha ◽  
Taiwo S. Yusuf
Keyword(s):  
Natural Convection ◽  
Mass Flow Rate ◽  
Mass Flow ◽  
Flow Rate ◽  
Steady State Solution ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Approximation Approach ◽  
Riemann Sum ◽  
Laplace Transform Technique

<p>This paper examines the role of magnetic field on fully developed natural convection flow in an annulus due to symmetric of surfaces. The transport equations concerned with the model under consideration are rendered non-dimensional and transformed into the ordinary differential equation using Laplace transform technique. The solution obtained is then transformed to time domain using the Riemann-sum approximation approach. The governing equations are also solved using implicit finite difference method so as to establish the accuracy of the Riemann-sum approximation approach at transient as well as at steady state solution. The solutions obtained are graphically represented and the effects of pertinent parameters on the flow formation are investigated in detail. The Hartmann number (M), is seen to have a retarding effect on the velocity, skin-frictions and the mass flow rate. Also, skin-friction at both surfaces and the mass flow rate within the annulus are found to be directly proportional to the radii ratio (λ).</p>

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