Equation of motion for a small rigid sphere in a nonuniform flow

AIP Publishing - Tập 26 Số 4 - Trang 883-889 - 1983
Martin Maxey1, James J. Riley2
1Department of Chemical Engineering, The Johns Hopkins University, Baltimore, Maryland, 21218
2Flow Research Company, Kent, Washington 98031

Tóm tắt

The forces on a small rigid sphere in a nonuniform flow are considered from first prinicples in order to resolve the errors in Tchen’s equation and the subsequent modified versions that have since appeared. Forces from the undisturbed flow and the disturbance flow created by the presence of the sphere are treated separately. Proper account is taken of the effect of spatial variations of the undisturbed flow on both forces. In particular the appropriate Faxen correction for unsteady Stokes flow is derived and included as part of the consistent approximation for the equation of motion.

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Tài liệu tham khảo

1956, Appl. Sci. Res. A, 6, 114, 10.1007/BF03185030

1966, Fluid Dynam., 1, 119

1975, Phys. Fluids, 18, 263, 10.1063/1.861113

1980, Phys. Fluids, 23, 2154, 10.1063/1.862909

1922, Ark. Mat., Astron. Fys., 17, 1

1962, J. Fluid Mech., 14, 284, 10.1017/S002211206200124X

1938, 2nd Report on Viscosity and Plasticity, Kön. Ned. Akad. Wet., Verhand. (Eerste Sectie), 16, 113

1929, C. R. Acad. Sci., 188, 310

1927, Rend. R. Accad. Nar. Lincei, 16, 613

1967, J. Eng. Mech. Div. A.S.C.E., 93, 87, 10.1061/JMCEA3.0000922

1961, J. Fluid Mech., 11, 447, 10.1017/S0022112061000640

1965, J. Fluid Mech., 22, 385, 10.1017/S0022112065000824

1966, Appl. Sci. Res., 16, 149, 10.1007/BF00384062

1975, J. Fluid Mech., 67, 561, 10.1017/S0022112075000468

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AIP Publishing

Tập 26 Số 4

883-889

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