Abstract:
The flow around a heated spherical drop in a viscous non-isothermal gaseous medium with uniformly distributed constant-power heat sources (sinks) acting inside is theoretically described in the Stokes approximation. It is assumed that the mean temperature of the drop surface can differ substantially from the temperature of the ambient gaseous medium. An analytical expression for the drag force and drift velocity in the gravity field is derived by solving hydrodynamic equations with allowance for the temperature dependence of viscosity, thermal conductivity, and density of the gaseous medium.
Keywords:
motion of heated drops in a gas, gravitational motion, Stokes approximation, drag force.
Citation:
N. V. Malay, K. S. Ryazanov, E. R. Shchukin, A. A. Stukalov, “On the force acting on a heated spherical drop moving in a gaseous medium”, Prikl. Mekh. Tekh. Fiz., 52:4 (2011), 63–71; J. Appl. Mech. Tech. Phys., 52:4 (2011), 553–559
\Bibitem{MalRyaShc11}
\by N.~V.~Malay, K.~S.~Ryazanov, E.~R.~Shchukin, A.~A.~Stukalov
\paper On the force acting on a heated spherical drop moving in a gaseous medium
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 4
\pages 63--71
\mathnet{http://mi.mathnet.ru/pmtf1503}
\elib{https://elibrary.ru/item.asp?id=16973561}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 4
\pages 553--559
\crossref{https://doi.org/10.1134/S0021894411040079}
Linking options:
https://www.mathnet.ru/eng/pmtf1503
https://www.mathnet.ru/eng/pmtf/v52/i4/p63
This publication is cited in the following 2 articles:
N. V. Malai, P. V. Sohan, Yu. I. Shostak, “Features of the photophoretic motion of an evaporating droplet in a viscous non-isothermal binary gas medium”, Prikladnaâ matematika i mehanika, 88:1 (2024), 79
N. V. Malay, E. R. Shchukin, Yu. I. Schostak, “On the influence of heat transfer on the photophoresis of a heated large aerosol particle”, High Temperature, 60:6 (2022), 797–803