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TsAGI Science Journal

ISSN Print: 1948-2590
ISSN Online: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.2019030620
pages 133-140

THE ENERGY FLUX TO BODIES ROTATING IN RAREFIED GAS

Sergei Lvovich Gorelov
Central Aerohydrodynamic Institute (TsAGI), 1, Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russian Federation

ABSTRACT

The flux of energy to bodies (an infinite cylinder and a disk) rotating in a steady rarefied gas is considered. It is noted that the directions of the energy flux to the surface in the cases of a strongly rarefied gas and a continuous medium are opposite. The energy flux is calculated analytically for an arbitrary Knudsen number using the self-similar interpolation method.

REFERENCES

  1. Dorfman, L.A., Hydrodynamic Resistance and Heat Loss of Rotating Solids, Edinburgh, Scotland: Oliver & Boyd, 1963.

  2. Loitsianskii, L.G., Laminar Boundary Layer, Moscow: Fizmatgiz, 1962 (in Russian).

  3. Schlichting, H. and Gersten, K., Boundary-Layer Theory, Berlin: Springer, 2017.

  4. Abramov, A.A. and Butkovskii, A.V., Couette flow regimes with heat transfer in rarefied gas, J. Exp. Theor. Phys., 116(6):1036–1042, 2013.

  5. Gorelov, S.L. and Van Tien, V., Couette flow and heat transfer between parallel plates in a rarefied gas, Math. Models Comput. Simul., 7(3):294–302, 2015.

  6. Gluzman, S. and Yukalov, V.I., Unified approach to crossover phenomena, Phys. Rev. E., 58(4):4197– 4209, 1998.

  7. Gorelov, S.L., Application of the self-similar interpolation method to problems of rarefied gas dynamics, J. Appl. Math. Mech., 69(3):398–404, 2005.

  8. Gorelov, S.L. and So, Z., Self-similar interpolation in rarefied gas dynamics, TsAGI Sci. J., 41(5):567– 578, 2010.

  9. Gorelov, S.L. and Van Tien, V., Heat transfer in the cylindrical rarefied Couette flow, Fluid Dyn., 51(6):814–820, 2016.


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