On rate type fluid flow induced by rectified sine pulses

• Published in: AIMS mathematics Vol. 7; no. 2; pp. 1615 - 1627
• Main Authors: Zheng, Kehong, Wang, Fuzhang, Kamran, Muhammad, Khan, Rewayat, Khan, Ali Sikandar, Rehman, Sadique, Farooq, Aamir
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2022
• Subjects: exact solutions; fourier sine transform (fst); initial and boundary conditions (ibc); laplace transform (lt); magnetohydrodynamics (mhd); non-newtonian fluid (nn fluid); porous medium; rectified sine pulses (rsp); second grade fluid (sg fluid)
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.2022094

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.