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UNSTEADY EXACT SOLUTION FOR FLOWS OF FLUIDS WITH PRESSURE-DEPENDENT VISCOSITIES
- Mathematical Proceedings of the Royal Irish Academy
- Royal Irish Academy
- Volume 106A, Number 2, December 2006
- pp. 115-130
- 10.1353/mpr.2006.0010
- Article
- Additional Information
Abstract:
Stokes recognized that the viscosity of fluids could generally depend on their pressure, and this has been confirmed by numerous experiments. In this paper we consider several unsteady flows of fluids with pressure-dependent viscosity, and we establish explicit exact solutions for these problems that can serve as benchmarks for numerical solutions for flows in complicated geometries.