Review of fluid flow and convective heat transfer within rotating disk cavities with impinging jet

Harmand, Souad; Pellé, Julien; Poncet, Sébastien; Shevchuk, Igor V.

doi:10.1016/j.ijthermalsci.2012.11.009

Cited by 98 publications

(42 citation statements)

References 201 publications

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“…This is consistent with the Batchelor-type flow characteristic. 24 In fact, the Stewartson-type flow holds near the center region, while the Batchelor-type flow is limited to the periphery region of the disk cavity for 21 \ G \ 0. The flow structure transition is associated with the two-cell structure as described above, that is, Stewartson-type flow occurs radially inward of the stagnation point and Batchelor-type flow radially outward.…”

Section: Resultsmentioning

confidence: 99%

Numerical simulation of turbulent flow between shrouded contra-rotating disks

Chen

Zhang

Tan

et al. 2016

Advances in Mechanical Engineering

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The turbulent flow between shrouded contra-rotating disks was numerically studied with a two-layer turbulence model and a modified Launder-Sharma low-Reynolds number k-e model. The dissipation rate decrease caused by solid body rotation was considered in the second model. The comparisons of the effectiveness between these two turbulence models for capturing the critical radius of flow structure transition and reproducing the flow velocity measurements data were presented. For the flow between shrouded disks rotating at the same speed but in opposite senses, that is, the angular velocity ratio of the two disks equals to 21, the Stewartson-type flow structure is found in the cavity. For the flow with one disk rotating more slowly than the other, Stewartson-type flow coexists with Batchelor-type flow, that is, Batchelor-type flow occurs radially outward of the stagnation point where two opposing boundary layer flows meet, and Stewartson-type flow occurs radially inward. The stagnation points near the slower disk move radially outward as the angular velocity ratio decreases toward 21. Theory of rotating fluids with the presence of centrifugal and Coriolis forces stemming from the disk rotation is employed to manifest the flow structure transition mechanisms as the rotation ratio of the disks is varied. The source of the earlier transition to turbulent flow in counter-rotating disk cavity compared with rotor-stator disk cavity is also explained through the research of instability of the flowing free shear layer formed by the counter secondary circulations. With the aid of the numerical results obtained from the two turbulence models, it is found that a more turbulent flow in the core can destroy the Batchelor-type flow and creates a larger Stewartson-type flow region.

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Section: Resultsmentioning

confidence: 99%

Numerical simulation of turbulent flow between shrouded contra-rotating disks

Chen

Zhang

Tan

et al. 2016

Advances in Mechanical Engineering

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“…In simulations focused on a comparison with experimental data, thermal boundary conditions, however, should be specified more precisely, e.g., with the help of existing empirical formulas for the Nusselt number [53,54] in rotating geometries.…”

Section: ½20mentioning

confidence: 99%

Heat Transfer Coefficient at Cast-Mold Interface During Centrifugal Casting: Calculation of Air Gap

Boháček

Kharicha

Ludwig

et al. 2018

Metall Mater Trans B

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During centrifugal casting, the thermal resistance at the cast-mold interface represents a main blockage mechanism for heat transfer. In addition to the refractory coating, an air gap begins to form due to the shrinkage of the casting and the mold expansion, under the continuous influence of strong centrifugal forces. Here, the heat transfer coefficient at the cast-mold interface h has been determined from calculations of the air gap thickness d a based on a plane stress model taking into account thermoelastic stresses, centrifugal forces, plastic deformations, and a temperature-dependent Young's modulus. The numerical approach proposed here is rather novel and tries to offer an alternative to the empirical formulas usually used in numerical simulations for a description of a time-dependent heat transfer coefficient h. Several numerical tests were performed for different coating thicknesses d C , rotation rates X, and temperatures of solidus T sol . Results demonstrated that the scenario at the interface is unique for each set of parameters, hindering the possibility of employing empirical formulas without a preceding experiment being performed. Initial values of h are simply equivalent to the ratio of the coating thermal conductivity and its thickness (~1000 Wm À2 K À1 ). Later, when the air gap is formed, h drops exponentially to values at least one order of magnitude smaller (~100 Wm À2 K À1 ).

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“…where the Reynolds number is based on the disk radius [55,56,32]. The present analysis is based on a Reynolds number in which the length scale is the separation distance between the inlet manifold and the stagnation surface, L. Correlations are presented for Reynolds numbers up to Re L ¼ 10 4 , which would represent a very high-speed flow.…”

Section: Limitationsmentioning

confidence: 99%

Unified Nusselt- and Sherwood-number correlations in axisymmetric finite-gap stagnation and rotating-disk flows

Coltrin

Kee

2016

International Journal of Heat and Mass Transfer

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a b s t r a c tThis paper develops a unified analysis of stagnation flow heat and mass transport, considering both semiinfinite domains and finite gaps, with and without rotation of the stagnation surface. An important objective is to derive Nusselt-and Sherwood-number correlations that represent heat and mass transport at the stagnation surface. The approach is based on computationally solving the governing conservation equations in similarity form as a boundary-value problem. The formulation considers ideal gases and incompressible fluids. The correlated results depend on fluid properties in terms of Prandtl, Schmidt, and Damköhler numbers. Heterogeneous chemistry at the stagnation surface is represented as a single first-order reaction. A composite Reynolds number represents the combination of stagnation flows with and without stagnation-surface rotation.Published by Elsevier Ltd.

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Review of fluid flow and convective heat transfer within rotating disk cavities with impinging jet

Abstract: Fluid flow and convective heat transfer in rotor-stator configurations, which are of great importance in different engineering applications, are treated in details in this review.

Cited by 98 publications

References 201 publications

Numerical simulation of turbulent flow between shrouded contra-rotating disks

Numerical simulation of turbulent flow between shrouded contra-rotating disks

Heat Transfer Coefficient at Cast-Mold Interface During Centrifugal Casting: Calculation of Air Gap

Unified Nusselt- and Sherwood-number correlations in axisymmetric finite-gap stagnation and rotating-disk flows

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