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ABSTRACT
The flow in turbomachines is generally three-dimensional, in stationary, viscous and turbulent. This article is dedicated to the theoretical support and numerical simulation of three-dimensional flows. This article starts by recalling the equations ruling the flow of perfect fluids and the conditions of their application. The quasi three-dimensional modeling is dealt with for perfect fluids. This leads to offering a real fluid modeling. The last paragraph is dedicated to Reynolds in stationary equations and the viscous models necessary for the closure of the numerical simulation equations. This last part is illustrated with many examples.
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Read the articleAUTHORS
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Robert REY: University Professor – Arts et Métiers – Paris Tech – CER Paris
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Gérard BOIS: University Professor – Arts et Métiers – Paris Tech – CER Lille
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Farid BAKIR: University Professor – Arts et Métiers – Paris Tech – CER Paris
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Sofiane KHELLADI: Senior Lecturer - Arts et Métiers – Paris Tech – CER Paris
INTRODUCTION
This article is dedicated to the theoretical support and numerical simulation of three-dimensional flows. It covers the basic equations of fluid dynamics. The first part recalls the equations governing the flow of perfect fluids and their conditions of application. The notion of relative motion and the general equations written in the rotor reference frame are studied. Quasi-three-dimensional modeling is discussed in
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for perfect fluids, and real-fluid modeling is proposed. This approach forms the basis for the results presented in
Finally, the last paragraph is devoted to the unsteady Reynolds equations and the viscous models needed to close the equations for numerical simulation. Numerous examples illustrate this final section.
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Turbomachinery: calculating incompressible flows
General treatment of flow equations in turbomachinery
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