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Research Article | Open Access

On rate type fluid flow induced by rectified sine pulses

Kehong Zheng1Fuzhang Wang2,3,4Muhammad Kamran5Rewayat Khan6Ali Sikandar Khan6Sadique Rehman7Aamir Farooq6( )
College of Water Conservancy and Ecological Engineering, Nanchang Institute of Technology, Nanchang 330099, China
Nanchang Institute of Technology, Nanchang 330044, China
College of Computer Science and Technology, Huaibei Normal University, Huaibei 235000, China
School of Mathematical and Statistics, Xuzhou University of Technology, Xuzhou 221018, China
Department of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan
Department of Mathematics, Abbottabad University of Science and Technology, Havelian 22500, Pakistan
Department of Pure and Applied Mathematics, University of Haripur, Haripur, KPK, Haripur, Pakistan
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Abstract

This investigation aims to present the unsteady motion of second grade fluid in an oscillating duct induced by rectified sine pulses. Some of the most dominant means for solving problems in engineering, mathematics and physics are transform methods. The objective is to modify the domain of the present problem to a new domain which is easier for evaluation. Such modifications can be done by different ways, one such way is by using transforms. In present work Fourier sine transform and Laplace transform techniques are used. The solution thus obtained is in form of steady state, with combination of transient solution which fulfills all required initial and boundary conditions. The influence of various parameters of interest for both developing and retarding flows on the flow characteristics will also be sketched and discussed. Also, the problem is reduced to the flow model where side walls are absent by bringing the aspect ratio parameter (ratio of length to width) to zero.

CLC number: 35C15, 35Q61, 76A05, 76S99, 76W99

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AIMS Mathematics
Pages 1615-1627

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Cite this article:
Zheng K, Wang F, Kamran M, et al. On rate type fluid flow induced by rectified sine pulses. AIMS Mathematics, 2022, 7(2): 1615-1627. https://doi.org/10.3934/math.2022094

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Received: 07 April 2021
Accepted: 21 October 2021
Published: 15 February 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)