Application of Hypothesis of Replacement at the Analysis of a Slow Flow of a Body by a Viscous Fluid

Andrey N. Volobuev, Eugene S. Petrov

.

DOI: 10.4236/eng.2011.36075                

Abstract

On the basis of hypothesis of replacement and the vector formula of Newton’s law for a viscous fluid the way of a finding of resistance a slow flow by an incompressible fluid of bodies of the various form is represented. Application of an offered way to calculation of a flow of various bodies is shown: a sphere, a cylinder, a oblong ellipsoid, a flat plate. Comparison with results of other authors is given.

Keywords

Hypothesis of Replacement, Newton’s Law for Viscosity, Body Flow, Stokes Formula, Resistance, Oblong Ellipsoid, Flat Plate

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	A. N. Volobuev and E. S. Petrov, “The Research of the Flow of Bodies with Use of the Vector Form of the Newton’s Law for the Viscous Fluid,” Engineering, No. 3, 2011, pp. 162-167.
[2]	G. G. Stokes, “On the Effect of Internal Friction of Fluids on the Motion of Pendulums,” Transaction of the Cambridge Philosophical Society, Vol. 9, Part 2, 1851, pp. 8-106.
[3]	L. G. Lojtsansky, “Mechanics of a Fluid and Gas,” 7th Edition, Drofa, Moscow, 2003.
[4]	G. N. Abramovich, “Applied Gas Dynamics,” Science, Moscow, 1969.
[5]	G. Schlichting, “Theory of a Boundary Layer,” Science, Moscow, 1974.
[6]	G. K. Batchelor, “An Introduc-tion to Fluid Dynamics,” NIC, Moscow-Izhevsk, 2004.
[7]	L. D. Landau and E. M. Lifshits, “Hydrodynamics,” Science, Moscow, 1986.
[8]	H. Lamb, “Hydrodynamics,” Gostechiz-dat, Moscow, 1947.
[9]	D. Happel and G. Brenner, “Hydro-dynamics at Reynolds’s Small Numbers,” World, Moscow, 1976.
[10]	I.V. Dudin and R. K. Narimanov, “Resistance at Slow Movement Ellipsoid,” The News of Tomsk Polytechnical University, Tomsk, Vol. 307, No. 3. 2004, pp. 17-21.