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A cartesian-tensor solution of the viscous creeping-motion equations

โœ Scribed by R. Niefer; P. N. Kaloni


Publisher
Springer
Year
1986
Tongue
English
Weight
400 KB
Volume
20
Category
Article
ISSN
0022-0833

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โœฆ Synopsis


A solution to the viscous creeping-motion equations is developed, using cartesian tensors. The solution is motivated by the form of the boundary conditions of the problem and is, therefore, easily applicable to situations where the boundary conditions are expressible in cartesian-tensor form. Several illustrations of the method are given to show how the solutions for the pressure and velocity components can be constructed, directly and easily, from the general solution.


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## Communicated by E. Meister We deal with the system of equations of motion of a viscous barotropic fluid. The system contains an artificial viscosity, which depends on the density p of the fluid and is identically equal to zero for p E (0, p 2 ) (where p2 is a given positive number). If p2 is ch