Numerical analysis of fluid flow due to mixed convection in a lid-driven cavity having a heated circular hollow cylinder

Abstract Numerical investigations are performed on natural and mixed convection around stationary and rotating vertical heated hollow cylinder with negligible wall thickness suspended in the air. The fluid flow and heat transfer characterization around the hollow cylinder are obtained by varying the following parameters, namely, Rayleigh number (Ra), Reynolds number (ReD), and cylindrical aspect ratio (L/D). The heat transfer quantities are estimated by varying the Rayleigh number (Ra) from 104 to 108 and aspect ratio (L/D) ranging from 1 to 20. Steady mixed convection with active rotation of hollow vertical cylinder is further studied by varying the Reynolds number (ReD) from 0 to 2100. The velocity vectors and temperature contours are shown in order to understand the fluid flow and heat transfer around the vertical hollow cylinder for both rotating and nonrotating cases. The surface average Nusselt number trends are presented for various instances of Ra, ReD, and L/D and found out that the higher rate of heat loss from the cylinder wall occurs at high Ra, low L/D (short cylinder) and high ReD.

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Numerical analysis of mixed convection at various walls speed ratios in two-sided lid-driven cavity partially heated and filled with nanofluid

Journal of Molecular Liquids ◽

10.1016/j.molliq.2016.05.076 ◽

2016 ◽

Vol 221 ◽

pp. 691-713 ◽

Cited By ~ 10

Author(s):

Ridha Jmai ◽

Brahim Ben-Beya ◽

Taieb Lili

Keyword(s):

Numerical Analysis ◽

Mixed Convection ◽

Driven Cavity

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Numerical analysis of mixed convection in lid-driven cavity using non-Newtonian ferrofluid with rotating cylinder inside

10.1063/1.4958376 ◽

2016 ◽

Author(s):

Khan Md. Rabbi ◽

Moinuddin Shuvo ◽

Rabiul Hasan Kabir ◽

Satyajit Mojumder ◽

Sourav Saha

Keyword(s):

Numerical Analysis ◽

Mixed Convection ◽

Rotating Cylinder ◽

Driven Cavity

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Magnetohydrodynamics Mixed Convection in a Lid-Driven Cavity Having a Corrugated Bottom Wall and Filled With a Non-Newtonian Power-Law Fluid Under the Influence of an Inclined Magnetic Field

Journal of Thermal Science and Engineering Applications ◽

10.1115/1.4032760 ◽

2016 ◽

Vol 8 (2) ◽

Cited By ~ 42

Author(s):

Fatih Selimefendigil ◽

Ali J. Chamkha

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Fluid Flow ◽

Mixed Convection ◽

Power Law ◽

Richardson Number ◽

Hartmann Number ◽

Power Law Fluid ◽

Driven Cavity ◽

The Magnetic Field

In this study, the problem of magnetohydrodynamics (MHD) mixed convection of lid-driven cavity with a triangular-wave shaped corrugated bottom wall filled with a non-Newtonian power-law fluid is numerically studied. The bottom corrugated wall of the cavity is heated and the top moving wall is kept at a constant lower temperature while the vertical walls of the enclosure are considered to be adiabatic. The governing equations are solved by the Galerkin weighted residual finite element formulation. The influence of the Richardson number (between 0.01 and 100), Hartmann number (between 0 and 50), inclination angle of the magnetic field (between 0 deg and 90 deg), and the power-law index (between 0.6 and 1.4) on the fluid flow and heat transfer characteristics are numerically investigated. It is observed that the effects of free convection are more pronounced for a shear-thinning fluid and the buoyancy force is weaker for the dilatant fluid flow compared to that of the Newtonian fluid. The averaged heat transfer decreases with increasing values of the Richardson number and enhancement is more effective for a shear-thickening fluid. At the highest value of the Hartmann number, the averaged heat transfer is the lowest for a pseudoplastic fluid. As the inclination angle of the magnetic field increases, the averaged Nusselt number generally enhances.

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