Steady and unsteady internal-flow computations via the solution of the compressible Navier-Stokes equations for low Mach numbers
The objective of this research is to approximate incompressible flow fields by low-Mach-number compressible solutions in order to solve unsteady internal-flow problems. The full unsteady compressible Navier-Stokes equations are solved numerically for axisymmetric flows. The conservation law form of the governing equation is used and the calculations performed on a curvilinear coordinates system. Steady-state solutions were obtained first for a variety of internal flow problems: flows in ducts with smooth constrictions, suddenly expanding ducts, and ducts with a step constriction. The first test for the unsteady calculations was to approximate the classical incompressible Womersley flow by a low-Mach-number unsteady compressible solution. The conclusion of this research is that a low-Mach-number compressible approach is useful in approximating steady incompressible flows in ducts with moderate constrictions and unsteady incompressible internal flows with low pulsatility.
- Research Organization:
- Georgia Inst. of Tech., Atlanta (USA)
- OSTI ID:
- 6697912
- Country of Publication:
- United States
- Language:
- English
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