Properties of an elementary class of fluids with nondissipative viscous stresses
Abstract
A class of fluids with both dissipative and nondissipative viscous stresses is analyzed. The class is delineated by the three assumptions, (1) the stress is isotropic, (2) the fluid admits no natural time scale, (3) the Stokes' assumption is satisfied. The constitutive relations are shown to be uniquely determined in terms of the linear bulk viscosity and the linear shear viscosity. The characteristic features of such fluids are obtained and experimental distinguishability between these fluids and the classic Navier-Stokes fluid is examined in detail. In general, it is surprisingly difficult to distinguish between the fluids considered here and the classic Navier-Stokes fluids, even though there are characteristic anomalies associated with the nondissipative stresses.
- Publication:
-
International Journal of Engineering Science
- Pub Date:
- 1977
- Bibcode:
- 1977IJES...15..727E
- Keywords:
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- Energy Dissipation;
- Navier-Stokes Equation;
- Stress Functions;
- Stress Tensors;
- Viscous Flow;
- Boundary Value Problems;
- Constitutive Equations;
- Strain Energy Methods;
- Strain Rate;
- Thermodynamic Properties;
- Traction;
- Fluid Mechanics and Heat Transfer