Simultaneous Heat and Mass Transfer in Free Convection

Mathers, W.G.; Madden, A. J.; Piret, Edgar L.

doi:10.1021/ie50570a025

Cited by 106 publications

(28 citation statements)

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“…Piret and co-workers (23,28), workin with heat and mass transfer from so&d spheres to gases, propose N s , o = 2 + 0.5 (NQrN80)o's ( 5 ) for (No,N8,) from 1V to lo5 and somewhat similar expressions for heat transfer.…”

Section: Natural Convectionmentioning

confidence: 89%

Mass transfer from a solid soluble sphere to a flowing liquid stream

1960

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Solution rates of 1h-, %-, and 1-in. cast benzoic acid spheres were measured under naturaland foreed-convection conditions. Upward-flowing streams of water and aqueous propylene glycol, in laminar and turbulent flow, were used to contact single spheres in either a 1.50-or 4.00-in.-diameter column. Sphere Reynolds numbers ranged from 10 to 16,920; Schmidt numbers from 987 to 69,680; sphere-to column-diameter ratios, ds/dc, from 0.123 to 0.497; and Grashof numbers from 5,130 to 125,200.The Sherwood number was found independent of the laminar-turbulent transition for pipe flow and the sphere-to column-diameter ratio when the Reynolds number is based on the average fluid velocity and sphere diameter.

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Section: Natural Convectionmentioning

confidence: 89%

Mass transfer from a solid soluble sphere to a flowing liquid stream

1960

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“…It is emphasized that the above correlations are not valid for alloys where the buoyancy ratio N is negative (such as Al-Cu) [35,36] and for liquid metals (Pr51). The convection correlations given by Eqs.…”

Section: Model Of Free Dendritic Growth Of Alloys In the Presence Of mentioning

confidence: 98%

“…(14) and (15) have been found to be applicable to both vertical plates and spheres [34]. Different geometries simply result in different values for the constant A: For example, the experiments of Mathers et al [35] showed that for spheres A ¼ 0:5; if the sphere diameter d is chosen as the characteristic length. In the limit of purely thermal convection (N ¼ 0), Eq.…”

Section: Model Of Free Dendritic Growth Of Alloys In the Presence Of mentioning

confidence: 99%

Modeling of free dendritic growth of succinonitrile–acetone alloys with thermosolutal melt convection

Beckermann

2002

Journal of Crystal Growth

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A stagnant film model of the effects of thermosolutal convection on free dendritic growth of alloys is developed, and its predictions are compared to available earth-based experimental data for succinonitrile-acetone alloys. It is found that the convection model gives excellent agreement with the measured dendrite tip velocities and radii for low solute concentrations. However, at higher solute concentrations the present predictions show some deviations from the measured data, and the measured (thermal) Peclet numbers tend to fall even below the predictions from diffusion theory. Furthermore, the measured selection parameter s Ã is significantly above the expected value of 0.02 and exhibits strong scatter. It is shown that convection is not responsible for these discrepancies. Some of the deviations between the predicted and measured data at higher supercoolings could be caused by measurement difficulties. The systematic disagreement in the selection parameter for higher solute concentrations and all supercoolings examined, indicate that the theory for the selection of the dendrite tip operating state in alloys may need to be reexamined. r

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“…Steady free convection heat and mass transfer flow of an incompressible viscous fluid past an infinite or semi-infinite vertical plate is studied since long because of its technological importance. Pohlhausen [30], Somers [31], and Mathers et al [32] were the first to study it for a flow past a semi-infinite vertical plate by different methods. But the first systematic study of mass transfer effects on free convection flow past a semiinfinite vertical plate was presented by Gebhart et al [33] who presented a similarity solution to this problem and introduced a parameter N which is a measure of relative importance of chemical and thermal diffusion causing a density difference that drives the flow.…”

Section: Unsteady Free Convection In a Walter's-b Viscoelastic Flow Pmentioning

confidence: 99%