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Global Stability Analysis of the Spatially Developing Boundary Layer: Effect of Wall Suction and Injection

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Proceedings of 16th Asian Congress of Fluid Mechanics

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The laminar boundary layer’s global temporal modes have been computed under the effect of suction and injection at the wall. The base velocity profile of the boundary layer has affected significantly by the mass transpiration in through the wall in the normal to flow direction. The governing stability equations have been derived using standard procedures. A spectral collocation method with the Chebyshev polynomials have been used for the discretization of the stability equations. The two-dimensional eigenvalues problem has been formed and solved using Arnoldi’s algorithm. The different rates of suction and injection (Vw = 0.01, 0.025, and 0.050) at Re = 226 were considered to study the temporal and spatial growth of the small disturbances. It has been observed that an increased rate of suction has a stabilization effect, and injection has destabilization effect.

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References

  1. Reynolds GA, Saric WS (1986) Experiments on the stability of the flat-plate boundary layer with suction. AIAA J 24:202–207

    Article  Google Scholar 

  2. Aydin O, Kaya A (2005) Laminar boundary layer flow over a horizontal permeable flat-plate. App Math Comput 161:229–240

    Article  MathSciNet  Google Scholar 

  3. Saric W, Reed L (1986) Effect of suction and weak mass injection on boundary-layer transition. AIAA J 03:383–389

    Article  Google Scholar 

  4. Watanabe T (1987) Effect of uniform suction or injection on the magnetohydrodynamic boundary layer flow along with a flat plate with a pressure gradient. Acta Mech 73:33–44

    Article  Google Scholar 

  5. Lingwood RJ (1997) On the effects of suction and injection on the absolute instability of the rotating-disk boundary layer. Phys Fluids 9:1317

    Article  Google Scholar 

  6. Fransson JHM, Alfredsson PH (2002) On the disturbance growth in an asymptotic suction boundary layer. J Fluid Mech 482:51–90

    Article  Google Scholar 

  7. Wang S, Lei J, Zhen H, Lee C (2014) Numerical investigation of wall cooling and suction effect on supersonic flat-plate boundary layer transition using large eddy simulation. Adv Mech Eng 7(2):493194

    Google Scholar 

  8. Huang A, Wu X (2017) 2017 A local scattering approach for the effects of abrupt changes on boundary-layer instability and transition: a finite Reynolds number formulation for isolated distortions. J Fluid Mech 822:444–483

    Article  MathSciNet  Google Scholar 

  9. Hinvi LA, Monwanou AV, Chbi Orou JB (2018) Linear stability analysis of fluid flow between two parallel porous stationary plates with small suction and injection. https://arxiv.org/abs/1412.0909v1

  10. Theofilis V (2003) Advances in global linear instability analysis of non-parallel and three-dimensional flows. Prog Aerosp Sci 39:249–331

    Article  Google Scholar 

  11. Bhoraniya R, Narayanan V (2019) Global stability analysis of the spatially developing boundary layer: effect of the streamwise pressure gradient. Fluid Dyn 53(6):84–98

    MATH  Google Scholar 

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Correspondence to Ramesh Bhoraniya .

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Bhoraniya, R., Narayanan, V. (2021). Global Stability Analysis of the Spatially Developing Boundary Layer: Effect of Wall Suction and Injection. In: Venkatakrishnan, L., Majumdar, S., Subramanian, G., Bhat, G.S., Dasgupta, R., Arakeri, J. (eds) Proceedings of 16th Asian Congress of Fluid Mechanics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-5183-3_54

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  • DOI: https://doi.org/10.1007/978-981-15-5183-3_54

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-5182-6

  • Online ISBN: 978-981-15-5183-3

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