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TRANSVERSALLY FLOWING FLUID IN A LAMINARY BOUNDARY LAYER ON A PERMEABLE SURFACE

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Abstract

Behavior of a transversally flowing fluid in a boundary layer on a plate and a wedge is studied using the Faulkner–Scan equation in the presence and absence of suction and blowing on the body surface. Numerical methods are used to show that, under certain conditions in the boundary layer, one may observe the formation of attraction and repulsion lines (the transverse velocity along these lines is zero) and maximum transverse velocity lines. Different transverse flow regimes in the boundary layer depending on the key parameters of the problem are considered.

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REFERENCES

  1. V. I. Kornilov, I. N. Kavun, and A. N. Popkov, “Development of the Air Blowing and Suction Technology for Control of a Turbulent Flow on an Airfoil," Prikl. Mekh. Tekh. Fiz. 60 (1), 10–19 (2019) [J. Appl. Mech. Tech. Phys. 60 (1), 7–15 (2019); DOI: 10.1134/S0021894419010024].

    Article  ADS  MathSciNet  Google Scholar 

  2. C. W. Tan and R. Dibiano, “A Parametric Study of Falkner–Skan Problem With Mass Transfer," AIAA J. 10 (7), 923–925 (1972).

    Article  ADS  Google Scholar 

  3. T. Fang and J. Zhang, “An Exact Analytical Solution of the Falkner–Skan Equation With Mass Transfer and Wall Stretching," Intern. J. Non-Linear Mech. 43 (9), 1000–1006 (2008).

    Article  ADS  Google Scholar 

  4. A. Orhan and A. Kaya, “Laminar Boundary Layer Flow Over a Horizontal Permeable Flat Plate," Appl. Math. Comput. 161 (1), 229–240 (2005).

    Article  MathSciNet  MATH  Google Scholar 

  5. G. I. Burde, “A Class of Solutions of the Boundary Layer Equations," Izvestiya Rossiiskoi Akademii Nauk. Mekhanika Zhidkosti I Gaza, No. 2, 45–51 (1990) [Fluid Dyn. 25, 201–207 (1990); DOI: 10.1007/BF01058968].

    Article  ADS  MathSciNet  Google Scholar 

  6. A. M. Grishin and V. I. Zabarin, “Two-Phase Boundary Layer With an Incompressible Carrier Phase on a Plate, With Injection and Suction of Gas From the Surface," Prikl. Mekh. Tekh. Fiz. 28 (5), 54–61 (1987) [J. Appl. Mech. Tech. Phys. 28 (5), 692–698 (1987); DOI: 10.1007/BF00912020].

    Article  ADS  Google Scholar 

  7. I. I. Lipatov, V. N. Petrukhanov, and G. M. Timofeev, “Free Interaction of the Flow in a Laminar Boundary Layer With an Upstream Moving Expansion Wave," Prikl. Mekh. Tekh. Fiz. 63 (1), 11–15 (2022) [J. Appl. Mech. Tech. Phys. 63 (1), 7–10 (2022); DOI: 10.1134/S0021894422010023].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. H. Schlichting, Grenzschicht-Theorie (Verlag und Druck G. Braun, 1951).

    MATH  Google Scholar 

  9. L. G. Loitsyanskii, Laminar Boundary Layer (Fizmatgiz, Moscow, 1962) [in Russian].

    Google Scholar 

  10. H. Schlichting and K. Bussmann, “Exakte Losungen fur die laminare reibungsschicht mit absaugung und ausblasen," Schriften Dtsch. Akad. Luftfahrtforsch. Ser. B. Bd 7 (2), 25–69 (1943).

  11. H. Schlichting, “Die Belinflussung der Grenzschicht durch Alsaugung und Ausblasen," Jb. Dtsch. Akad. Luftfahrtforsch. Bd 2 (1), 90–108 (1943/1944).

  12. V. S. Avduevskii and E. I. Obroskova, “Investigation of a Laminar Boundary Layer on a Porous Plate, Taking Into Account Heat and Mass Transfer," Izvestiya Akademii Nauk SSSR. Mekhanika I Mashinostroenie, No. 4, 52–59 (1960).

  13. E. N. Bondarev, V. T. Dubasov, Yu. A. Ryzhov, et al., Air-Fluid Dynamics (Mashinostroenie, Moscow, 1993) [in Russian].

    Google Scholar 

  14. T. Y. Na, Computational Methods in Engineering Boundary Value Problems (Acad. Press, N. Y., 1979).

    MATH  Google Scholar 

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Correspondence to T. R. Amanbaev.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2023, Vol. 64, No. 4, pp. 55-66. https://doi.org/10.15372/PMTF20230405.

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Amanbaev, T.R. TRANSVERSALLY FLOWING FLUID IN A LAMINARY BOUNDARY LAYER ON A PERMEABLE SURFACE. J Appl Mech Tech Phy 64, 599–609 (2023). https://doi.org/10.1134/S0021894423040053

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