Simultaneous effect of rotation and natural convection on the flow about a liquid sphere

Antar, Mohamed A.; El‐Shaarawi, M. A. I.

doi:10.1007/s00231-003-0429-9

Cited by 3 publications

(1 citation statement)

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“…(1), but with an even smaller coefficient of 0.26. Antar and El-Shaarawi [9] numerically solved the laminar boundary layer equations to study the effect of rotation to the natural convection about a liquid sphere. However, these studies assume boundary layer flows over the rotating sphere, which requires Reynolds number to be sufficiently large enough to form a laminar boundary layer at the surface of rotating sphere.…”

Section: Introductionmentioning

confidence: 99%

Direct Numerical Simulation of Forced Convective Heat Transfer From a Heated Rotating Sphere in Laminar Flows

Feng

2014

Journal of Heat Transfer

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The laminar forced convection of a heated rotating sphere in air has been studied using a three-dimensional immersed boundary based direct numerical simulation method. A regular Eulerian grid is used to solve the modified momentum and energy equations for the entire flow region simultaneously. In the region that is occupied by the rotating sphere, a moving Lagrangian grid is used, which tracks the rotational motion of the particle. A force density function or an energy density futiction is introduced to represent the momentum interaction or thermal interaction between the sphere and fluid. This numerical method is validated by comparing simulation results with analytical solutions of heat diffusion problem and other published experimental data. The flow structures and the mean Nusselt nttmbers for flow Reynolds number ratigitig from 0 to 1000 are obtained. We compared our simulation results of the mean Nusselt numbers with the correlations from the literature and found a good agreement for flow Reynolds number greater than 500; however, a significant discrepancy arises at flow Reynolds number below 500. This leads us to develop a new equation that correlates the mean Nusselt number of a heated rotating sphere for flows of Q < Re < 500.

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Section: Introductionmentioning

confidence: 99%