Inviscid Circulatory-Pressure Field Derived from the Incompressible Navier-Stokes Equations
Inviscid Circulatory-Pressure Field Derived from the Incompressible Navier-Stokes Equations
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DOI：
10.2514/1.j053140
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发表时间：
2015
期刊：
影响因子：
2.5
通讯作者：
S. Schmitz;J. Coder
中科院分区：
文献类型：
--
作者：
S. Schmitz;J. Coder
The static-pressure field in the steady and incompressible Navier–Stokes momentum equation is decomposed into circulatory (inviscid) and dissipative (viscous) partial-pressure fields. It is shown analytically that the circulatory-pressure integral over the surface of a lifting body of thickness recovers the lift generating Kutta–Joukowski theorem in the far field, and results in Maskell’s formula for the vortex-induced drag plus an additional pressure-loss term that tends to zero for an infinitely thin wake. A Poisson equation for the circulatory-pressure field is implemented as a transport equation into the FLUENT 13 solver. Numerical examples include a circular cylinder at Re=8.5×105, the S809 airfoil at Re=2×106, and the ONERA M6 wing at Re=1×106. It is shown that the circulatory-pressure field does indeed behave as an inviscid pressure field of a fully viscous solution, and provides insight into the nature of pressure drag and its contributions to local form and vortex-induced drag.
