A note on the infinitesimal inviscid-like motions of viscous fluids
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Summary
In this note we show the existence of infinitesimal motions of viscous fluid thatdo not change the existing stress field. We also give the expression for the change of the stress power of the basic flow. Two examples illustrating the procedure of finding those flows are given.
Keywords
Mechanical Engineer Civil Engineer Stress Field Viscous Fluid Basic Flow
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Sommario
In questa nota dimostriamo l'esistenza di movimenti infinitesimi in un fluido viscoso che non cambiano il campo di sollecitazioni esistente. Diamo anche l'espressione per la variazione della potenza dalla sollecitazione del flusso fondamentale. Si danno due esempi per illustrare la procedura per trovare questi flussi.
References
- [1]TRUSDELL C., NOLL W.,The Nonlinear Field Theories of Mechanics, S. Flüge's Handbuch der Physik III/3, Springer Verlag, 1965.Google Scholar
- [2]COLEMAN B. D. and others:Instability, Uniqueness and Nonexistence Theorems for the Equation u t =u xx −u xtx on a strip, Arch. Rational Mech. Anal.,19, 100–116, 1965.Google Scholar
- [3]CRAIK A. D.,A note on the static stability of an elastico-viscous fluid, J. Fluid Mech.,33, 33–38, 1968.Google Scholar
- [4]COLEMAN B. D., NOLL W.,Foundations of Linear Viscoelasticity, Reviews of Mod. Physics,33, 239–249, 1961.CrossRefGoogle Scholar
Copyright information
© Tamburini Editore s.p.a. Milano 1977