Numerical solution of unsteady flow Between parallel plates using Haar wavelet-quasilinearization method

Karkera, Harinakshi and Katagi, N N (2017) Numerical solution of unsteady flow Between parallel plates using Haar wavelet-quasilinearization method. International Journal of Pure and Applied Mathematics, 116 (1). pp. 269-284. ISSN 1314-3395

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Abstract

The present study is concerned with the analysis of unsteady flow of viscous incompressible fluid between parallel rectangular and circular plates. The Navier-Stokes equations modelling the flow are transformed into a fourth order non-linear ordinary differential equation using a similarity transformation. The resulting equation is solved by a new efficient numerical scheme based on Haar wavelet-quasilinearization method. The solution representing pressure gradient is obtained for large values of Reynolds number. A comparison with numerical results generated by MATLAB routine bvp4c demonstrates that the proposed method is more efficient and promising technique for solving highly nonlinear two-point boundary value problems. The absolute error and rate of convergence of numerical results are computed to test the applicability and accuracy of the method

Item Type: Article
Uncontrolled Keywords: Haar wavelets, quasilinearization, operational matrix, squeezing flow
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 21 Sep 2017 10:50
Last Modified: 09 Dec 2017 06:19
URI: http://eprints.manipal.edu/id/eprint/149726

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