Physiological Flow of Non-Newtonian Fluid with Variable Density Inside a Ciliated Symmetric Channel Having Compliant Wal
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RESEARCH ARTICLE-PHYSICS
Physiological Flow of Non-Newtonian Fluid with Variable Density Inside a Ciliated Symmetric Channel Having Compliant Wall Anber Saleem1,2 · Aleesha Qaiser3 · Sohail Nadeem3
· Mehdi Ghalambaz4,5 · Alibek Issakhov6
Received: 4 April 2020 / Accepted: 20 August 2020 © King Fahd University of Petroleum & Minerals 2020
Abstract This article studies the peristaltic transport of a compressible Jeffrey fluid with compliant wall over a porous medium with effect of magnetic field. The fluid flows in a two-dimensional symmetric channel. The fluid flows due to sinusoidal travelling waves. Perturbation technique is used for finding the solution. For various values of parameters, the net axial velocity is computed up to second-order calculations. The effects of various parameters including parameters of compliant wall on perturbation function, velocity distribution at boundaries, reversal flow and axial velocity are discussed graphically. Keywords Peristaltic flow · Compressible fluid · Compliant wall · Microchannel
1 Introduction Peristaltic flow is produced due to contraction and expansion of wall channel. Blood inside the small blood vessels can transfer through peristaltic flow. The idea of peristaltic flow was firstly given by Latham [1] in his PhD studies. Srinivas et al. [2, 3] presented the result of peristaltic motion of a Jeffrey fluid in the presence of magnetic field through a porous medium [4] and investigated the peristaltic flow of magnetohydrodynamic. For cylindrical tubes, the peristaltic motion for micropolar fluid is discussed by Muthu et al. [5]. Other
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Sohail Nadeem [email protected] Mehdi Ghalambaz [email protected]
1
Mathematics and Its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam
2
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3
Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad 44000, Pakistan
4
Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
5
Faculty of Electrical – Electronic Engineering, Duy Tan University, Da Nang 550000, Vietnam
6
Al-Farabi Kazakh National University, av. al-Farabi 71, 050040 Almaty, Kazakhstan
researchers examined the effect of magnetic field through a porous medium [6–9]. Tsiklauri and Beresnev [10] examined the peristaltic motion of compressible Maxwell fluid. They examined viscoelastic effect on the fluid dynamics by studying about compressibility of the liquid for Maxwell fluid in a circular tube. They set up that for non-Newtonian regime, on the tube wall the fluid might flow in opposite direction to the direction of the movement of waves. Nadeem and Akram [11] discussed the peristaltic transport of a Williamson in an asymmetric channel. For Maxwell fluid, peristaltic flow in the presence of effect of magnetic field and Hall effect over a porous medium was observed by Elkoumy et al. [12]. After their research, they concluded that for mean velocity distribution, relaxatio
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