"RESISTANCE MOMENT AT ROTATION OF AN ELLIPSOID IN VISCOUS FLUID "
Keywords:
ellipsoid, resistance force, rotation, unsteady motion, viscosityAbstract
The slow rotation of a solid body in a liquid, which is affected by the resistance force, is considered on the example of an ellipsoid. This force is created by both friction forces and pressure forces resulting from the effect of the attached mass. A method of resistance calculation for an arbitrary ellipsoidal body is proposed. Analytical formulas for the resistance forces of an ellipsoid rotating in a viscous fluid are established. The results obtained are applicable for the calculation of multiphase flows in technical devices.
References
"1 Lamb G. Hydrodynamics. M .: Gostekhizdat, 1947. 928 p. [in Russian]
Happel D., Brenner G. Hydrodynamics at low Reynolds numbers. M .: Mir, 1976. 630 p. [in Russian]
Zamyshlyaev A.A., Shrager G.R. Fluid flow of spheroids at moderate Reynolds numbers. Fluid and gas mechanics. 2004, No.3, pp. 25 - 33. [in Russian]
Lipanov A.M., Semakin A.N. Non-spherical particles: resistance and some flow parameters in unlimited volume. Scientific notes TsAGI. 2011 Vol. Xlii, no. 6, pp. 15 - 22. [in Russian]
Holser A., Sommerfeld M. New simple correlation formula for the drag coefficient of non spherical particles. Powder Technology. 2008, Vol.184, Issue 3, p. 361-365.
Loth E. Drag of non-spherical solid particles of regular and irregular shape. Powder Technology. 2008, Vol. 182, Issue 3, p. 342 – 353.
Clift R., Grace J.R., Weber M. Bubbles, drops, and particles. New York: Academic press, 1978, 380 p.
Dudin I.V., Narimanov R.K. Resistance of a triaxial ellipsoid slowly moving in a viscous fluid. Preprint №37. TSU publishing house, Tomsk, 2000, 11 p. [in Russian]
Dudin I.V., Narimanov R.K. Resistance with slow movement of the ellipsoid. Proceedings of the Tomsk Polytechnic University, 2004, Vol. 307, No.3, pp. 17-21. [In Russian]
Landau LD, Lifshits E.M. Hydrodynamics, Moscow, Nauka, 1986, 736 p. [in Russian]
Buchholz N.N. The main course of theoretical mechanics, Part 2, Moscow, 1972, 332 p. [in Russian]
"
