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 TVT, 2006, Volume 44, Issue 1, Pages 107–112 (Mi tvt1294)

Heat and Mass Transfer and Physical Gasdynamics

An analytical investigation of heat and mass transfer under conditions of film cooling of bodies

V. F. Formalev, S. A. Kolesnik, A. A. Chipashvili

Moscow Aviation Institute (State Technical University)

Abstract: An analytical investigation is performed of heat and mass transfer under conditions of film cooling by liquids which exhibit the properties of abrupt variation of dynamic viscosity with a moderate variation of temperature (by three to five orders of magnitude with the temperature varying by $150$$200$ degrees). The coolant under constant pressure on the inner boundary of the body is filtered through specifically organized pores and forms an evaporating liquid film on the outer boundary. This organization of heat shielding makes it possible to automatically control the feed of coolant depending on the varying external heat fluxes and related temperatures of the body and coolant, as well as to maintain the initial geometry of the body (no carry-over of mass of the body material occurs). A simplified mathematical model of heat shielding is suggested, and analytical solutions are obtained for the body temperature and for the rates of coolant flow rate and evaporation. The relevant results are discussed.

Full text: PDF file (1113 kB)

English version:
High Temperature, 2006, 44:1, 108–114

UDC: 536.21,27.35.25

Citation: V. F. Formalev, S. A. Kolesnik, A. A. Chipashvili, “An analytical investigation of heat and mass transfer under conditions of film cooling of bodies”, TVT, 44:1 (2006), 107–112; High Temperature, 44:1 (2006), 108–114

Citation in format AMSBIB
\Bibitem{ForKolChi06} \by V.~F.~Formalev, S.~A.~Kolesnik, A.~A.~Chipashvili \paper An analytical investigation of heat and mass transfer under conditions of film cooling of bodies \jour TVT \yr 2006 \vol 44 \issue 1 \pages 107--112 \mathnet{http://mi.mathnet.ru/tvt1294} \elib{http://elibrary.ru/item.asp?id=9242451} \transl \jour High Temperature \yr 2006 \vol 44 \issue 1 \pages 108--114 \crossref{https://doi.org/10.1007/s10740-006-0012-4} \elib{http://elibrary.ru/item.asp?id=13527382} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33644931898} 

• http://mi.mathnet.ru/eng/tvt1294
• http://mi.mathnet.ru/eng/tvt/v44/i1/p107

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Lurie S.A., Solyaev Yu.O., Koshurina A.A., Formalev V.F., Dobryanskiy V.N., Kachanov M.L., “Design of the Corrugated-Core Sandwich Panel With External Active Cooling System”, Compos. Struct., 188 (2018), 278–286
2. Formalev V.F. Kuznetsova E.L. Kuznetsova E.L., “Mathematical Modeling of the Stefan'S Problems With the Determination of the Coordinates and the Velocities of the Dynamically Moving Borders of Phase Transformations”, Period. Tche Quim., 15:1 (2018), 377–389
3. Formalev V.F. Kolesnik S.A. Kuznetsova E.L., “Analytical Study on Heat Transfer in Anisotropic Space With Thermal Conductivity Tensor Components Depending on Temperature”, Period. Tche Quim., 15:1 (2018), 426+