ON THE PROPAGATOR OF THE STOKES EQUATION AND A DYNAMICAL DEFINITION OF VISCOSITY |
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| Authors: | ROBERTO MAURI JACOB RUBINSTEIN |
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| Affiliation: | 1. Department of Chemical Engineering , City College of CUNY , New York , NY , 10031;2. Department of Mathematics, Technion , Israel Institute of Technology , Haifa , Israel |
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| Abstract: | The propagator of the unsteady Stokes equation is shown to be dominated by the solution of a purely diffusive equation, whose dispersion coefficient is the viscosity. Pressure plays an indirect role only, by creating instantaneously a steady velocity field which decays slowly in space. Viscosity appears to measure the temporal growth of the second moment of the unsteady Stokes propagator. |
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| Keywords: | Stokes equation Dynamical viscosity Stokes propagator |
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