A flow model is formulated to investigate the hydrodynamic structure of the boundary layers of incompressible fluid in a rotating cylindrical cavity with steady radial inflow. The model considers mass and momentum transfer coupled between boundary layers and an inviscid core region. Dimensionless equations of motion are solved using integral methods and a space-marching technique. As the fluid moves radially inward, entraining boundary layers develop which can either meet or become non-entraining. Pressure and wall shear stress distributions, as well as velocity profiles predicted by the model, are compared to numerical simulations using the software OpenFOAM. Hydrodynamic structure of the boundary layers is governed by a Reynolds number, Re, a Rossby number, Ro, and the dimensionless radial velocity component at the periphery of the cavity, Uo. Results show that boundary layers merge for Re < < 10 and Ro > > 0.1, and boundary layers become predominantly non-entraining for low Ro, low Re, and high Uo. Results may contribute to improve the design of technology, such as heat exchange devices, and turbomachinery.
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March 2016
Research Article|
March 18 2016
Hydrodynamic structure of the boundary layers in a rotating cylindrical cavity with radial inflow
Benjamín Herrmann-Priesnitz;
Benjamín Herrmann-Priesnitz
a)
1Department of Mechanical Engineering,
Universidad de Chile
, Beauchef 851, Santiago, Chile
2Advanced Mining Technology Center,
Universidad de Chile
, Av. Tupper 2007, Santiago, Chile
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Williams R. Calderón-Muñoz;
Williams R. Calderón-Muñoz
1Department of Mechanical Engineering,
Universidad de Chile
, Beauchef 851, Santiago, Chile
3Energy Center,
Universidad de Chile
, Av. Tupper 2007, Santiago, Chile
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Eduardo A. Salas;
Eduardo A. Salas
4
CSIRO-Chile International Centre of Excellence
, Apoquindo 2827, Floor 12, Santiago, Chile
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Alejandro Vargas-Uscategui;
Alejandro Vargas-Uscategui
1Department of Mechanical Engineering,
Universidad de Chile
, Beauchef 851, Santiago, Chile
4
CSIRO-Chile International Centre of Excellence
, Apoquindo 2827, Floor 12, Santiago, Chile
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Manuel A. Duarte-Mermoud;
Manuel A. Duarte-Mermoud
2Advanced Mining Technology Center,
Universidad de Chile
, Av. Tupper 2007, Santiago, Chile
5Department of Electrical Engineering,
Universidad de Chile
, Av. Tupper 2007, Santiago, Chile
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Diego A. Torres
Diego A. Torres
1Department of Mechanical Engineering,
Universidad de Chile
, Beauchef 851, Santiago, Chile
2Advanced Mining Technology Center,
Universidad de Chile
, Av. Tupper 2007, Santiago, Chile
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a)
Electronic mail: bherrman@ing.uchile.cl
Physics of Fluids 28, 033601 (2016)
Article history
Received:
September 22 2015
Accepted:
March 01 2016
Citation
Benjamín Herrmann-Priesnitz, Williams R. Calderón-Muñoz, Eduardo A. Salas, Alejandro Vargas-Uscategui, Manuel A. Duarte-Mermoud, Diego A. Torres; Hydrodynamic structure of the boundary layers in a rotating cylindrical cavity with radial inflow. Physics of Fluids 1 March 2016; 28 (3): 033601. https://doi.org/10.1063/1.4943860
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