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Fundamental solutions creeping flow equations

I. The Stokeslet A Fundamental Solution for the Creeping-Flow Equations... [Pg.545]

We begin by considering the solution of the creeping-flow equations for a point force f in an unbounded fluid. This solution is a fundamental solution in the sense that it can be obtained formally from the governing equations... [Pg.545]

We shall see that the stokeslet solution plays a fundamental role in creeping flow theory. We have already seen in Section E of Chap. 7 that it describes the disturbance velocity far away from a body of any shape that exerts a nonzero force on an unbounded fluid. Indeed, when nondimensionalized and expressed in spherical coordinates, it is identical to the velocity field, (7 151). In the next section we use the stokeslet solution to derive a general integral representation for solutions of the creeping-flow equations. [Pg.547]


See other pages where Fundamental solutions creeping flow equations is mentioned: [Pg.41]    [Pg.527]    [Pg.530]    [Pg.545]    [Pg.545]    [Pg.545]    [Pg.547]    [Pg.548]    [Pg.549]    [Pg.560]   
See also in sourсe #XX -- [ Pg.545 , Pg.547 ]




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