scholarly journals MHD natural convection flow of viscoelastic fluid over an accelerating permeable surface with thermal radiation and heat source or sink: Spectral Homotopy Analysis Approach

2018 ◽  
Vol 9 (4) ◽  
pp. 1029-1041 ◽  
Author(s):  
A.I. Fagbade ◽  
B.O. Falodun ◽  
A.J. Omowaye
Keyword(s):  
Natural Convection ◽  
Heat Source ◽  
Thermal Radiation ◽  
Viscoelastic Fluid ◽  
Permeable Surface ◽  
Analysis Approach ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Homotopy Analysis

NUMERICAL AND ANALYTICAL SOLUTIONS FOR NATURAL CONVECTION FLOW WITH THERMAL RADIATION AND MASS TRANSFER PAST A MOVING VERTICAL POROUS PLATE BY DQM AND HAM

2011 ◽  
Vol 08 (03) ◽  
pp. 611-631 ◽  
Author(s):  
P. TALEBIZADEH ◽  
M. A. MOGHIMI ◽  
A. KIMIAEIFAR ◽  
M. AMERI
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Natural Convection ◽  
Thermal Radiation ◽  
Differential Quadrature Method ◽  
Porous Plate ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Homotopy Analysis ◽  
Excellent Method

In this paper, the boundary-layer natural convection flow on a permeable vertical plate with thermal radiation and mass transfer is studied when the plate moves in its own plane. A uniform temperature with uniform species concentration at the plate is affected and the fluid is considered to be a gray, absorbing–emitting. A viscous flow model is presented using boundary-layer theory comprising the momentum, energy, and concentration equations, which is solved analytically by means of an excellent method called homotopy analysis method (HAM). First, a comparison between HAM results and those obtained by means of a higher-order numerical method, namely differential quadrature method (DQM), is done. Close agreement of two sets of results indicates the accuracy of the HAM. The velocity, temperature, and concentration distributions are displayed graphically, and a parametric study is performed in which the effect of various parameters on the skin friction, the local Nusselt number (Nn), and the local Sherwood number (Mu) are investigated.

scholarly journals Thermal Radiation Effect on Fully Developed Natural Convection Flow in a Vertical Micro-Channel

2021 ◽  
Vol 28 (2) ◽  
pp. 20-28
Author(s):  
B. Aina
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Thermal Radiation ◽  
Temperature Jump ◽  
Velocity Slip ◽  
Convection Flow ◽  
Physical Situation ◽  
Fluid Temperature ◽  
Micro Channel ◽  
Natural Convection Flow

The effect of thermal radiation on steady fully developed natural convection flow in a vertical micro-channel is presented in this article. Effects of velocity slip and temperature jump conditions are taken into account due to their counter effects on both the volume flow rate and the rate of heat transfer. Due to the presence of thermal radiation, the momentum and energy equations are coupled system of ordinary differential equations. Governing coupled nonlinear equations are solved analytically by employing the perturbation analysis method to obtain an expression for fluid temperature, fluid velocity, rate of heat transfer and skin friction on the microchannel walls. The effect of various parameters controlling the physical situation such as thermal radiation, temperature difference, Knudsen number, and fluid wall interaction are discussed with the aid of line graphs and Tables. Results indicate that both velocity and temperature enhanced with the increase of the thermal radiation parameter. Keywords: Thermal radiation, Natural convection, Micro-channel, Velocity slip, Temperature jump

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