Estimated accuracy of the analysis of convective heat transfer at the critical point of the sphere based on the research results
Published: 08.10.2014
Authors: Gorskiy V.V., Olenicheva A.A.
Published in issue: #9(33)/2014
DOI: 10.18698/2308-6033-2014-9-1243
Category: Mathematic modeling | Chapter: Simulation in Engineering
The paper presents the results of systematic analysis of convective heat transfer and friction at the critical point of the sphere on the basis of the numerical solution of boundary layer equations. It is found that the error in known formulae is significantly higher than indicated in the literature. The system of relations characterized by an increased accuracy in the calculation of heat transfer and friction is offered.
References
[1] Predvoditelev A.S., Stupochenko E.V., Pleshanov A.S. Tablitsy termodinamicheskikh funktsiy vozdukha (dlya temperature ot 200 do 6000 K i davleniya ot 0,00001 do 100 atm.) [Tables of Air Thermodynamic Functions (for Temperatures between 200 and 6000 K and Pressures from 0.00001 to 100 atm.)]. Moscow, Vychislitelnyi Tsentr AN SSSR Publ., 1962, 268 p.
[2] Gorskiy V.V., Fedorov S.N. Inzhenerno-Fizicheskii Zhurnal - Journal of Engineering Thermophysics, 2007, vol. 80, no. 5, pp. 97-101.
[3] Gorskiy V.V. Zhurnal vychislitelnoy matematiki i vychislitelnoy fiziki RAN - Journal of Computational Mathematics and Computational Physics RAS, 2007, vol. 47, no. 6, pp. 939-943.
[4] Rouz P., Stark W. Izmereniya teploobmena v lobovoy tochke v dissotsiirovannom vozdukhe [Measurements of Heat Transfer in the Stagnation Point in Dissociated Air]. In: Problemy dvizheniya golovnoy chasti raket dalnego deistviya [Problems of Long Haul Missile Head Movement]. Moscow, Inostrannaya Literatura Publ., 1959, p. 277. [in Russian].
[5] Zemlyanskiy B.A., Lunev V.V., Vlasov V.I., et al. Rukovodstvo dlya konstruktorov. Konvektivnyi obmen izdeliy RKT [Design guide. Convective Heat Transfer in Rocketry Products]. Korolev, TsNIImash Publ., 2010.
[6] Aoki M. Vvedenie v metody optimizatsii. Osnovy i prilozheniya nelineynogo programmirovaniya [Introduction to Optimization Techniques. Fundamentals and Applications of Nonlinear Programming]. Moscow, Nauka Publ., 1977. [in Russian].
[7] Vatolina E.G., Gorskiy V.V., Gorskaya N.A, Olenicheva A.A. Inzhenerno-Fizicheskii Zhurnal - Journal of Engineering Thermophysics, 2011, vol. 84, no. 2, p. 348.
[8] Fey J. A., Riddel F.K. Teoreticheskiy analiz teploobmena v lobovoy tochke, omyvaemoy dissotsiirovannym vozdukhom [Theoretical Analysis of Heat Transfer in the Stagnation Point Washed by Dissociated Air]. In: Problemy dvizheniya golovnoy chasti raket dalnego deistviya [Problems of Long Haul Missile Head Movement]. Moscow, Inostrannaya Literatura Publ., 1959, p. 217. [in Russian].
[9] Sinchenko S.G. Zhurnal vychislitelnoy matematiki i vychislitelnoy fiziki - Journal of Computational Mathematics and Computational Physics, 1968, vol. 8, no. 4, p. 917.
[10] Paskonov V.M., Polezhaev Yu.V., Nestatsionarnoe plavlenie vyazkogo materiala v okrestnosti tochki tormozheniya. Chislennye metody v gazovoy dinamike. Sbornik rabot vychislitelnogo tsentra MGU [Unsteady Melting Viscous Material in the Vicinity of the Stagnation Point. Numerical methods in Gas Dynamics. Collected Works of Moscow State University Computing Center]. Roslyakov G.S., Chudov L.A., eds. Moscow, MGU Publ., 1963, pp. 123-134.