Open AccessOn rate type fluid flow induced by rectified sine pulses
Author(s) -
Kehong Zheng,
Fuzhang Wang,
Muhammad Kamran,
Rewayat Khan,
Ali Sikandar Khan,
Sadique Rehman,
Aamir Farooq
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022094
Subject(s) - laplace transform , sine , fourier transform , mathematics , domain (mathematical analysis) , work (physics) , boundary value problem , flow (mathematics) , duct (anatomy) , type (biology) , integral transform , mathematical analysis , transient (computer programming) , fluid motion , mechanics , physics , computer science , geometry , thermodynamics , geology , medicine , pathology , operating system , paleontology
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.