Abstract
The present work is concerned with a comprehensive analysis of hydrodynamic forces, under MHD and forced convection thermal flow over a heated cylinder in presence of insulated plates installed at walls. The magnetic field is imposed in the transverse direction of flow. The Galerkin finite element (GFE) scheme has been used to discretize the two-dimensional system of nonlinear partial different equations. The study is executed for the varying range of flow behavior index n from 0.4 to 1.6, Hartmann number Ha from 0 to 100, Reynolds number Re from 10 to 50, Grashof number Gr from 1 to 10, thickness ratio e from 0.5 to 1.0, and Prandtl number Pr from 1 to 10, respectively. A coarse hybrid computational grid is developed, and further refinement is carried out for obtaining the highly accurate solution. The optimum case selection is based on flow patterns, drag and lift coefficients, and pressure drop reduction against cylinder thickness ratios and average Nusselt numbers. Drag coefficient increases with an increase in thickness ratio e . The drag force reduction for e = 0.5 and e = 0.75 is also observed for a range of the power law index as compared with e = 1.0 cylinder. Maximum pressure drop over the back and front points of cylinder is reported at Ha = 100 .
Highlights
Flow around bluff bodies of various shapes is a traditional study in fluid mechanics
With Reynolds (Re), the flow characteristics vary as the vortex structure changes behind the solid body when flow is separated. e situation becomes more fascinating when the flow is coupled with heat transfer, and various theoretical, experimental, and simulation-based studies are present in the literature in different convective regimes
Line. e isothermal plots indicate that in the near-wake area, temperature contours are lower with an increasing thickness ratio e. ese figures indicate that the cylinders’ front surface is the most isothermal clustering, resulting in high thermal gradients compared with some other points on the cylinder surface
Summary
Flow around bluff bodies of various shapes is a traditional study in fluid mechanics. E situation becomes more fascinating when the flow is coupled with heat transfer, and various theoretical, experimental, and simulation-based studies are present in the literature in different convective regimes. Zainuddin et al [7] numerically examined the free oscillatory convection in the presence of heat generation around the horizontal circular cylinder of a Newtonian fluid by using the final differentiation method. E aim of the present study is to compute reduction of forces based on thickness ratio (e) of elliptic obstacle submerged in cross-fluid flow. Such analysis of forces in conjunction with the cross model is new for CFD community. S where “S” and “ns” are the surfaces of thermal region and normal direction of the surface; it is reasonable to postulate that the drag coefficient is function of Re whereas the Nusselt number depends on the Pr
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