Peristaltic flow of non-Newtonian fluid through an inclined complaint nonlinear tube: application to chyme transport in
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Peristaltic flow of non-Newtonian fluid through an inclined complaint nonlinear tube: application to chyme transport in the gastrointestinal tract Hanumesh Vaidya1, Oluwole Daniel Makinde2 , Rajashekhar Choudhari3,a Kerehalli Vinayaka Prasad1, Sami Ullah Khan4 , Kuppalapalle Vajravelu5
,
1 Department of Mathematics, Vijayanagara Sri Krishnadevarya University, Ballari, Karnataka 583105, India 2 Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa 3 Department of Mathematics, Karnataka State Akkamahadevi Women’s University, Vijayapura, Karnataka
586108, India
4 Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan 5 Department of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University
of Central Florida, Orlando, FL 32816, USA Received: 17 June 2020 / Accepted: 29 October 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Acknowledging the novel significances of a peristaltic phenomenon in various biological and physiological systems, researchers in the current decade perform admirable investigations. Studies on this topic still need attention due to the prestigious applications of the peristaltic event in the gastrointestinal tract, artificial lung, heart equipment, and blood circulation in the body. This endeavor explores the novel impact of slip on the peristaltic flow of non-Newtonian Jeffrey liquid through an inclined tube. The effect of varying fluid properties (variable viscosity and variable thermal conductivity) and wall properties is considered. The governing equations are turned dimensionless by appropriate similarity transformations. The series solution is obtained for velocity, temperature, and concentration equation. The graphical representation of pertinent parameters on the physiological flow quantities is depicted by applying MATLAB 2019b program. The obtained results reveal that the up-hosted values of the viscosity parameter enhance distributions of velocity and temperature. Further, the impact of variable viscosity slightly enhances the magnitude of the trapped bolus. Moreover, the present investigation finds its applications to examine the bright insight appliances of chyme through the gastrointestinal tract.
List of symbols F Br k1 E3 E1 D
Body force parameter Brinkmann number Coefficient of thermal conductivity Coefficient of viscous damping Elastic tension Mass diffusivity
a e-mail: [email protected] (corresponding author)
0123456789().: V,-vol
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E2 m1 l(z) p P (r, z) (u, w) Re Sc Sr cp kT t b c
Eur. Phys. J. Plus
(2020) 135:934
Mass per unit area Non-uniform parameter Non-uniform tube width Pressure Pressure gradient Radial and axial coordinates Radial axial velocity Reynolds number Schmidt number Soret number Specific heat Thermal diffusion ratio Time Wave amplitude Wave speed
Greek letters ε α φ α3 ρ λ1 τ θ α2 γ β α1 λ
Amplitude ratio Angle of inclination Concentration Concentration slip par
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