Geodesic
Majorant model of electrization of a~supersonic gas--particle jet, impinging a~solid body
Matematičeskoe modelirovanie, Tome 23 (2011) no. 12, pp. 49-64.

Voir la notice de l'article provenant de la source Math-Net.Ru

A simple model is suggested to describe electrization of the particulates, accelerated by a supersonic jet and rebounding from a solid body, taking into consideration their spinning, Magnus force, mutual influence of the spin and transport movement relatively to the carrying gas. Every particulate rebounded from the body is suggested to obtain identical electriral charge majorized with the value corresponding to the local limiting value of the electric field intensity near the particle surface («majorant» model). Numerical investigations of gas–particle jet flows are carried out for the set of governing parameters characteristic for “typical” wind–tunnel experiment. The spatial distribution of the electric potential, the surface distribution of the electric current and dependence of the total current through the grounded conducting body on the radius and physical properties of the particle substance are plotted. An electric charge of the particulates impinging the body, their collisions with the rebounding particulates and Lorentz force, acting upon the later, are neglected.
Keywords: disperse flow, impinging and rebounding particules, spinning and electrization of the particules. 
@article{MM_2011_23_12_a3,
     author = {G. V. Molleson and A. L. Stasenko},
     title = {Majorant model of electrization of a~supersonic gas--particle jet, impinging a~solid body},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {49--64},
     publisher = {mathdoc},
     volume = {23},
     number = {12},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_12_a3/}
}
TY  - JOUR
AU  - G. V. Molleson
AU  - A. L. Stasenko
TI  - Majorant model of electrization of a~supersonic gas--particle jet, impinging a~solid body
JO  - Matematičeskoe modelirovanie
PY  - 2011
SP  - 49
EP  - 64
VL  - 23
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2011_23_12_a3/
LA  - ru
ID  - MM_2011_23_12_a3
ER  - 
%0 Journal Article
%A G. V. Molleson
%A A. L. Stasenko
%T Majorant model of electrization of a~supersonic gas--particle jet, impinging a~solid body
%J Matematičeskoe modelirovanie
%D 2011
%P 49-64
%V 23
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2011_23_12_a3/
%G ru
%F MM_2011_23_12_a3
G. V. Molleson; A. L. Stasenko. Majorant model of electrization of a~supersonic gas--particle jet, impinging a~solid body. Matematičeskoe modelirovanie, Tome 23 (2011) no. 12, pp. 49-64. http://geodesic.mathdoc.fr/item/MM_2011_23_12_a3/

[1] Mikhatulin D. S., Polezhaev Yu. V., Reviznikov D. L., Teploobmen i razrushenie tel v sverkhzvukovom geterogennom potoke, Yanus-K, M., 2007, 392 pp.

[2] Kashevarov A. V., Stasenko A. L., “Vynuzhdennaya kristallizatsiya kapel pered telom, dvizhuschimsya v pereokhlazhdennom oblake”, Matematicheskoe modelirovanie, 22:2 (2010), 139–147 | Zbl

[3] Kuryachii A. P., “Osobennosti elektrizatsii metallicheskogo tela, dvizhuschegosya s bolshoi skorostyu v aerozolnoi srede”, Uchenye zapiski TsAGI, XIV:1 (1983), 48–56

[4] Vasilevskii Ed., Gorelov V., Kazansky R., Yakovleva L. Body electrization in a supersonic two-phase flow, Proc. of the Second Intern. Conf. “Materials and Coating for Extreme Performances: Investigations, Applications, Ecologycally Safe Technologies for Their Production and Utilization” (16–20 Sept. 2002, Katseveli-town), Grimea, Ucraine, 23–24

[5] Kudin O. K., Nesterov Yu. N., Tokarev O. D., Flaksman Ya. Sh., Yakovleva L. V., “Teploobmen vysokotemperaturnoi strui zapylennogo gaza s pregradoi”, XXII Yubileinyi seminar "Struinye, otryvnye i nestatsionarnye techeniya, Tezisy dokl., Iz-vo SPbGU, SPb., 2010, 80–82

[6] Millikan R. A., “The general law of fall of a small spherical body through a gas, and its bearing upon the nature of molecular reflection from surfaces”, Phys. Rev., 22 (1923), 1–23 | DOI

[7] Kavanau L. L., “Heat transfer from spheres to a rarefied gas in subsonic flow”, Trans. ASME, 77:5 (1955), 613–623

[8] Oesterle' B., Bui Dinh T., “Experiments on the lift of a spinning sphere in a range of intermediate Reynolds numbers”, Experiments in Fluids, 25 (1998), 16–22 | DOI

[9] Rubinow S. I., Keller J. B., “The transverse force on spinning sphere moving in a viscous fluid”, J. Fluid Mech., 11 (1961), 447–459 | DOI | MR | Zbl

[10] Dennis S. C. R., Singh S. N., Ingham D. B., “The steady flow due to a rotating sphere at low and moderate Reynolds numbers, II”, J. Fluid Mech., 101 (1980), 257–279 | DOI | MR | Zbl

[11] Lukerchenko N. N., Kharlamov A. A., Kvurt Yu. P., “Eksperimentalnaya otsenka sily soprotivleniya, sily Magnusa i momenta soprotivleniya, deistvuyuschikh na sfericheskuyu chastitsu”, Materialy VI Mezhdunar. konf. po neravnovesnym protsessam v soplakh i struyakh (NPNJ–2006), Vuzovskaya kniga, M., 2006, 230, 368 pp.

[12] Lukerchenko N., “Basset history force for the particle – particle collision”, Materialy VIII Mezhdunarodnoi konf. po neravnovesnym protsessam v soplakh i struyakh (NPNJ–2010), Izd-vo MAI – PRINT (MAI), M., 2010, 82–83, 618 pp.

[13] Volkov A. N., Tsirkunov Yu. V., Oesterle' B., “Numerical simulation of a supersonic gas-solid flow over a blunt body: The role of inter-particle collisions and two-way coupling effects”, Intern. J. Multiphase Flow, 31 (2005), 1244–1275 | DOI | Zbl

[14] Stasenko A. L., “Koeffitsienty vosstanovleniya skorosti chastits pri otrazhenii ot poverkhnosti tverdogo tela”, IFZh, 80:5 (2007), 38–44

[15] Lashkov V. A., “Ob eksperimentalnom opredelenii koeffitsientov vosstanovleniya skorosti chastits potoka gazovzvesi pri udare o poverkhnost”, IFZh, 60:2 (1991), 197–203

[16] Kangur Kh. F., Kleis I. R., “Eksperimentalnoe i raschetnoe opredelenie koeffitsienta vosstanovleniya pri udare”, Izv. AN SSSR. MTT, 1988, no. 5, 182–185

[17] Wall S. V., John W., Wang H. C., Goren S. L., “Measurements of kinetic energy loss for particles impacting surfaces”, Aerosol Science and Technology, 12 (1990), 926–946 | DOI

[18] Muchnik V. M., Fishman B. E., Elektrizatsiya grubodispersnykh aerozolei v atmosfere, Gidrometeoizdat, L., 1982, 207 pp.

[19] Harlow F. H., Amsden A. A., “Numerical calculation of multiphase fluid flow”, J. Comput. Phys., 17:1 (1975), 19–52 | DOI | Zbl

[20] Belotserkovskii O. M., Davydov Yu. M., Metod krupnykh chastits v gazovoi dinamike, Nauka, M., 1982, 392 pp.