HEAT TRANSFER IN A REAL GAS FLOW IN THE BOUNDARY LAYER BEYOND A SHOCK WAVE


  • A.A. Avramenko Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine
  • M.M. Kovetskaya Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine
  • Y.Y. Kovetska Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine
  • O.I. Skitsko Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine
Keywords: heat transfer, real gas, boundary layer, shock wave, slip effect.

Abstract

A mathematical model of nonideal gas flow in a boundary layer behind a shock wave is presented, taking slip effects into account. The model takes into account the effect of shock wave intensity (U¥/Us), physical (Pr) and thermodynamic (Waa, Wab) gas properties, slip effects (Kn) and surface temperature (T0/Tw). The results of calculations of the heat transfer coefficients (Nusselt number) depending on the Knudsen number and van der Waals parameters are presented.

It is shown that slip effects lead to a decrease in the intensity of transfer processes on the wall due to the weakening of the interaction between the flow and the surface. The slip effect weakens with increasing value of the Waa parameter, which is explained by the additional pressure. This eliminates the effect of slippage, enhancing the interaction between the flow and the surface. On the contrary, an increase in the value of the Wab parameter enhances the effect of slippage due to additional volume.

References

1. Lusher D. J., Sandham N.D. Shock Wave/Boundary Layer Interactions in Transitional Rectangular Duct Flows. Flow, Turbulence and Combustion (2020), 105: 649–670. https://doi.org/10.1007/s10494-020-00134-0
2. Kim J. H., Lee S. Y., Chung J. T. Numerical analysis of the aerodynamic performance & heat transfer of a transonic turbine with a partial squealer tip. Appl. Therm. Eng. (2019), 152:878–889. https://doi.org/10.1016/j.applthermaleng.2019.02.066
3. Ligrani P. M., McNabb E. S., Collopy H., Anderson M., Marko S. M. Recent investigations of shock wave effects and interactions. Advances in Aerodynamics (2020), 2(4) https://doi.org/10.1186/s42774-020-0028-1
4. Avramenko A. A., Tyrinov A. I., Shevchuk I. V. Analytical simulation of normal shock waves in turbulent flow. Phys. Fluids. (2022), 34: 056101. – 6 p.
https://doi.org/10.1063/5.0093205
5. Tong F., Yuan X., Lai J., Duan J., Sun D., Dong S. Wall heat flux in a supersonic shock wave/turbulent boundary layer interaction. Physics of Fluids (2022), 34: 065104 https://doi.org/10.1063/5.0094070
6. Lu J., Li J., Song Z., Zhang W., Yan C. Uncertainty and sensitivity analysis of heat transfer in hypersonic three-dimensional shock waves/turbulent boundary layer interaction flows. Aerospace Science and Technology. (2022), 123: 107447
https://doi.org/10.1016/j.ast.2022.107447
7. Bao Y., Zhou K., You Y. Study of shock wave/boundary layer interaction from the perspective of nonequilibrium effects. Physics of Fluids (2022), 34(4): 046109. DOI: 10.1063/5.0085570
8. Avramenko A.A., Tyrinov A.I., Shevchuk I.V. Start-up slip flow in a microchannel with a rectangular cross section. Theoretical and Computational Fluid Dynamics (2015) 29(5-6), 351-371
https://link.springer.com/article/10.1007/s00162-015-0361-x
9. Avramenko A.A., Tyrinov A.I., Shevchuk I.V. An analytical and numerical study on the start-up flow of slightly rarefied gases in a parallel-plate channel and a pipe. Physics of Fluids (2015) 27 (4), 042001. https://doi.org/10.1063/1.4916621
10. Tyrinov A.I., Avramenko A.A., Basok B.I., Davydenko B.V. Modeling of flows in a microchannel based on the Boltzmann lattice equation. Journal of Engineering Physics and Thermophysics (2012) 85 (1), 65-72.
https://doi.org/10.1007/s10891-012-0621-1
11. Avramenko A. A., Tyrinov A. I., Shevchuk I. V., Kravchuk A. V., Shevchuk V. I. Mixed convection in a vertical flat microchannel. International Journal of Heat and Mass Transfer (2017), 106 :1164–1173.
https://doi.org/10.1016/j.ijheatmasstransfer.2016.10.096
12. Avramenko A.A., Kuznetsov A.V. Flow in a curved porous channel with a rectangular cross section. Journal of Porous Media. (2007). 11 (3), 241-246
DOI:10.1615/JPorMedia.v11. i3.20
13. Avramenko A.A., Kovetska Y.Y., Shevchuk I.V., Tyrinov A.I., Shevchuk V.I. Mixed convection in vertical flat and circular porous microchannels. Transport in Porous Media. (2018) 124(2), 919-941
DOI:10.1007/s11242-018-1104-4
14. Avramenko A.A., Kuznetsov A.V., Nield D.A. Instability of slip flow in a channel occupied by a hyperporous medium. Journal of Porous Media. (2007). 10 (5), 435-442
DOI: 10.1615/JPorMedia.v10. i5.20
15. Avramenko A.A., Shevchuk I.V., Abdallah S., Blinov D.G., Harmand S., Tyrinov A.I. Symmetry analysis for film boiling of nanofluids on a vertical plate using a nonlinear approach. Journal of Molecular Liquids. (2016) 223, 156-164. https://doi.org/10.1016/j.molliq.2016.08.038
16. Mirels H., Hamman J. Laminar boundary behind strong shock moving with nonuniform velocity. Physics of fluids (1962), 5; 91-96. DOI:10.1063/1.1706496
17. Illingworth C.R. Steady flow in the laminar boundary layer of a gas. Proc. Roy. Soc. A 199, 533 (1949)
18. Stewartson K. Correlated compressible and incompressible boundary layers. Proc. Roy. Soc. A 200, 84-100 (1949)

Abstract views: 336
PDF Downloads: 132
Published
2023-11-23
How to Cite
Avramenko, A., Kovetskaya, M., Kovetska, Y., & Skitsko, O. (2023). HEAT TRANSFER IN A REAL GAS FLOW IN THE BOUNDARY LAYER BEYOND A SHOCK WAVE. Thermophysics and Thermal Power Engineering, 45(4), 16-25. https://doi.org/https://doi.org/10.31472/ttpe.4.2023.2

Most read articles by the same author(s)

1 2 3 > >>