Mass and heat transport impact on the peristaltic flow of a Ree–Eyring liquid through variable properties for hemodynamic flow |
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| Authors: | C Rajashekhar F Mebarek-Oudina H Vaidya K V Prasad G Manjunatha H Balachandra |
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| Affiliation: | 1. Department of Mathematics, Karnataka State Akkamahadevi Women's University, Vijayapura, Karnataka, India;2. Department of Physics, Faculty of Sciences, University of 20 août 1955-Skikda, Skikda, Algeria;3. Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India;4. Departtment of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India |
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| Abstract: | Variable properties play a prominent role in analyzing the blood flow in narrow arteries. Specifically, considering the variation of thermal conductivity and viscosity helps in the understanding of the rheological behavior of blood and other biological fluids, such as urine, spermatozoa, and eye drops. Inspired by these applications, the current study incorporates the impact of variable thermal conductivity and viscosity for modeling the peristaltic flow of a Ree–Eyring liquid through a uniform compliant channel. The governing equations are nondimensionalized with the assistance of similarity transformations. The long-wavelength and small Reynolds wide variety approximation are utilized for solving the governing differential equations. Furthermore, the series solution method (perturbation technique) is utilized for solving the nonlinear temperature equation. The obtained results show that the velocity is greater in the case of the Newtonian liquid than that of the non-Newtonian liquid. |
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| Keywords: | peristalsis perturbation method variable thermal conductivity variable viscosity wall properties |
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