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Effect of uniform and nonuniform heat source on natural convection flow of micropolar fluid
Muthtamilselvan, M.,Periyadurai, K.,Doh, D.H. Pergamon Press ; Elsevier Science Ltd 2017 INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER - Vol.115 No.1
Natural convection of micropolar fluid in a square cavity with uniform and nonuniform heated thin plate built in horizontally or vertically is investigated numerically. The non-uniform heating is due to the non-linearly varying temperature of the plate. The vertical walls are cooled while the top and bottom walls are insulated. The flow with in the cavity is assumed to be two dimensional. The governing equations were solved by finite volume method using second order central difference scheme and upwind differencing scheme. The computational results are presented in the form of isotherms, streamlines and average Nusselt numbers. The study was performed for different Rayleigh numbers, Prandtl numbers, length of the heat source, location of the plate, vortex viscosity parameter and source non-uniformity parameters. The result shows that the presence of vortex viscosity parameter retards the fluid velocity and hence the heat transfer rate is decreased. Also, the non-uniformity parameter affects the fluid flow and heat transfer rate especially for higher Rayleigh numbers.
Muthtamilselvan, M.,Periyadurai, K.,Doh, Deog Hee Elsevier 2018 Advanced powder technology Vol.29 No.1
<P><B>Abstract</B></P> <P>A numerical work has been carried out to study the effect of heated plate on double diffusive natural convection in a cavity with the presence of Soret and Dufour effects. The vertical left and right sidewalls of the cavity are maintained at constant cold temperatures while the lower and upper walls are considered insulated. The influence of pertinent parameters such as Rayleigh number, Schmidt number, vortex viscosity parameter, Soret and Dufour coefficients and plate non-uniformity parameter on the flow and heat transfer characteristics has been examined. Numerical results show that the heat and mass transfer rate increases with the rise of the Rayleigh number and Schmidt number. It is found that the heat and mass transfer rate are considerably suppressed by the vortex viscosity parameter. In addition, it is observed that the average Nusselt number increases and Sherwood number decreases with increasing Soret and Dufour effects.</P> <P><B>Highlights</B></P> <P> <UL> <LI> We studied the double diffusive convection in a micropolar fluid. </LI> <LI> A thin vertical plate is situated at the middle of the cavity. </LI> <LI> Increasing in the Soret and Dufour parameter is to increase the heat transfer. </LI> <LI> The heat and mass transfer rate of micropolar fluids are found to be smaller. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>Physical model and coordinate system.</P> <P>[DISPLAY OMISSION]</P>