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ANALYSIS OF LAMINAR BOUNDARY-LAYER FLOW OVER A MOVING WEDGE USING A UNIFORM HAAR WAVELET METHOD

Harinakshi Karkeraa , Nagaraj N. Katagia,† , Ramesh B. Kudenattib

a Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, 576 104, India
b Department of Mathematics, Bengaluru City University, Bengaluru, 560 001, India
† Corresponding author. Email: nn.katagi@manipal.edu

Frontiers in Heat and Mass Transfer 2022, 18, 1-10. https://doi.org/10.5098/hmt.18.41

Abstract

In this paper, we study the characteristics of laminar boundary-layer flow of a viscous incompressible fluid over a moving wedge. The transformed boundary-layer equation given by the Falkner-Skan equation is solved by an efficient easy-to-use approximate method based on uniform Haar wavelets in conjunction with quasilinearization and collocation approach. The residual and error estimates are computed to confirm the validity of the obtained results. A meaningful comparison between the present solutions with existing numerical results in the literature is carried out to highlight the benefits and efficiency of proposed method. Furthermore, the influence of variable pressure gradient and the wedge velocity parameter are discussed and illustrated through graphs. The Haar wavelet approach discovers a rich structure of multiple solutions for various range of physical parameters.

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Karkera, H. (2022). ANALYSIS OF LAMINAR BOUNDARY-LAYER FLOW OVER A MOVING WEDGE USING A UNIFORM HAAR WAVELET METHOD. Frontiers in Heat and Mass Transfer, 18(1), 1–10.



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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