Abstract
MHD mixed convection flow in a lid driven enclosure with a sinusoidal wavy wall and heated circular body located at the center of the enclosure is studied numerically using finite element analysis. The upper wall is moving with a uniform velocity by unity, and other walls are in no slip condition. The enclosure vertical walls are insulated while the heated circular body inside the enclosure is maintained at a uniform temperature higher than the upper wall and lower wavy surface. Calculations are carried out through solving governing equations for different parameters by using finite element method. The investigation is conducted for various values of Richardson number <i>Ri</i> and Prandtl number <i>Pr</i>. The heat transfer characteristics and flow pattern inside the enclosure are presented in the form of streamlines and isothermal contours. Heat transfer rate in terms of the average Nusselt number and average fluid temperature inside the enclosure are presented for different parameters. The results indicate that the average Nusselt number at the heated surface and average temperature of the fluid inside the enclosure are strongly dependent on the configuration of the system under different geometrical and physical conditions.
Highlights
Mixed convection flow in any enclosure occurs due to combined natural and forced convection flow
The characteristics of the flow and temperature fields in the lid driven enclosure with wavy bottom surface are analyzed for different values of Hartman number Hartmann number (Ha) and Prandtl number Pr
At Ri = 0.1 that is the ratio of Grashof number and square of Reynolds number is less than 1, which means that Richardson number Ri
Summary
Mixed convection flow in any enclosure occurs due to combined natural and forced convection flow. Sheikhzadeh et al [7] investigated effect of a magnetic field on mixed convection of a nanofluid in a square cavity They found that the rate of heat transfer increases with the increasing value of Reynolds number and it decreases with the increasing value of Hartmann number. The eddies in the streamlines are reduced and the thermal current surrounding the hot body is thin with elevating Ha. The average Nusselt number Nu at the circular body surface is enhanced for larger Ra and diameter D whereas devalued with growing Ha. Rahman et al [15] investigated a numerical study of mixed convection in a square cavity with a heat conducting square cylinder at different locations. They found that the flow field and temperature distribution inside the cavity are strongly dependent on the Richardson numbers and the position of the inner cylinder
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More From: International Journal of Fluid Mechanics & Thermal Sciences
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