Sphere Theorem on the Stokes Equation for Three-Dimensional Viscous Flow

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概要

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• A theorem is presented wlaich guves the perturbation pressure 7)(.v) amad velocityflax) directly when a sphere of unit radius t"= 1 with its center at the origin is intro-duced into an unlimited viscous fluid of viscosity p obeying the Stokes equation, ofwhich tl?e pressure auad the velocity are jo(x:) and u(x).They arefi= - L p 4r'u;-F3?'.z"u,c3r -F-(/" -z")p' -X?'.(3 -z")tp'dr 'I((1)andZ7= - L -Ir --Lr' u-F(r'-r")u'-l-L(I -r')'rWp/p X1224I1fl'( f' 1-I--j(r -1/r) V,) pdr/p -(x/t")X3rctaA-73 x?ctadr(vov(2)wlccrc u, is the radial velocity u-x/ r, co is the vorticity V7 X u, and the prime ' is theradial derivative d/dr=(l/r)(,v=V7), V', is the tangential gradient V -(,v/r)(d/dr),and tlae asterisk ' on f(x) denotes the irax.'ersion ff(x)3'=f(x/r").

• 1992-09-15

著者

• Hasimoto Hidenori

  College Of Engineering Hosei University

関連論文

• Sphere Theorem on the Stokes Equation for Three-Dimensional Viscous Flow
• Addendum to Sphere Theorem on the Stokes Equation for Three-Dimensional Viscous Flow
• Lateral Velocity of a Small Sphere Sedimenting near a Cylindrical Wall

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