Convective Heat Transfer From a Rotating Inner Sphere to a Stationary Outer Sphere

Maples, G.; Dyer, David F.; Askin, Kerim; Maples, D.

doi:10.1115/1.3450108

Journal of Heat Transfer

1973

DOI: 10.1115/1.3450108

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Convective Heat Transfer From a Rotating Inner Sphere to a Stationary Outer Sphere

G. Maples

David F. Dyer

Kerim Askin³

et al.

Abstract: The convection heat transfer rate between a rotating, isothermal sphere and a concentrically located, isothermal outer sphere is experimentally determined for various Grashof and Reynolds numbers. A comparison of data with that for a single sphere rotating in an infinite media is given. The heat transfer rate for the single sphere is higher than for the concentric spheres at the same Reynolds number. The present experiment is shown to involve both free and forced convection heat transfer.

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“…They used a lower order perturbation expansion in powers of Reynolds number to obtain the approximate solution to the governing equations. Maples et al (1973) studied the combined convection in spherical annulus experimentally. In their study only the inner sphere is allowed to rotate and Nusselt number…”

mentioning

confidence: 99%

A numerical study of thermal convection in a rotating spherical annulus with axial gravitational field by using parametric spline function approximation

Raghavarao

Srinivas²

1998

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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IntroductionCombined convection in rotating spherical annuli is of great interest in both engineering design and geophysics. The problem can be divided into two cases. The first is the case in which the gravitational field acts in radial direction and the second is that in which the gravitational field acts in the direction parallel to that of the axis of rotation. Although seemingly a minor change, the two problems are entirely different except in the forced convection limit. The former model is applicable to some geophysical or meteorological situations. The latter model is applicable to such physical flows as a rotating sphere viscometer (Bestman, 1978).In the past several studies concerning both cases were carried out. Pedlosky (1969) studied the steady motion of a thermally stratified fluid in a narrow spherical annulus with radial gravitational field. Douglass et al. (1978) obtained an approximate solution for the same problem using a modified Galerkin technique for moderate Reynolds numbers and several angular velocity ratios. The effects of different ratios of radii spheres on combined convection are shown in Douglass et al. (1979) in which a fourth order regular perturbation expansion method in powers of Reynolds number is used to solve the governing equations. A numerical investigation is performed by Raghavarao and Srinivas (1995a) for a similar problem using a parametric spline function approximation to solve the governing Navier Stokes and energy equations.An early study of combined convection flows in concentric spherical annulus with the gravitational field in axial direction is that of Riley and Mack (1972). They used a lower order perturbation expansion in powers of Reynolds number to obtain the approximate solution to the governing equations. Maples et al. (1973) studied the combined convection in spherical annulus experimentally. In their study only the inner sphere is allowed to rotate and Nusselt number

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mentioning

confidence: 99%

A numerical study of thermal convection in a rotating spherical annulus with axial gravitational field by using parametric spline function approximation

Raghavarao

Srinivas²

1998

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Melt/freeze heat transfer measurements in cryolite-based electrolytes

Taylor¹,

Welch²

1987

Metall Trans B

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Heat transfer — A review of 1973 literature

Eckert

Sparrow

Goldstein

et al. 1974

International Journal of Heat and Mass Transfer

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Convective Heat Transfer From a Rotating Inner Sphere to a Stationary Outer Sphere

Cited by 6 publications

References 0 publications

A numerical study of thermal convection in a rotating spherical annulus with axial gravitational field by using parametric spline function approximation

A numerical study of thermal convection in a rotating spherical annulus with axial gravitational field by using parametric spline function approximation

Melt/freeze heat transfer measurements in cryolite-based electrolytes

Heat transfer — A review of 1973 literature

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