Thermophoresis effect on peristaltic flow of viscous nanofluid in rotating frame
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Thermophoresis effect on peristaltic flow of viscous nanofluid in rotating frame F. Mabood1 · A. Abbasi2 · W. Farooq2 · Z. Hussain2 Received: 25 July 2020 / Accepted: 6 October 2020 © Akadémiai Kiadó, Budapest, Hungary 2020
Abstract In this paper simultaneous effects of Coriolis forces, Brownian motion and thermophoresis on the peristaltic motion of Newtonian fluid are incorporated. The governing nonlinear flow equations with appropriate conditions are converted into non-dimensional form, afterward, they were solved numerically by the Keller box procedure. Also, another numerical method is used to solve these transformed equations and by tabular data, we made a comparison of the numerical values of velocities, temperature and concentration profiles. A parametric investigation was conducted and the influence of various parameters on primary and secondary velocities is conducted for both slip and no-slip flow cases. The obtained results are compared with the existing literature as a particular case and found with an excellent agreement. Furthermore graphical results for temperature and nanoparticle concentration profiles are reported for both rotating and non-rotating frames. It is worth mentioning that the effects of Nt and Nb are the dominant in rotating frame as compared to the non-rotating frame of reference and the magnitude of temperature distribution is small for slip flow. Keywords Peristaltic motion · Nanofluid · Rotating frame · Keller box method · bvp4c
Introduction Flow in the channel due to the progressive wave propagation on the walls of the channel is termed as peristaltic motion. This phenomena is involved in many physiological process like passive transport of reproductive material, moment of partially digestive food, urine transport, blood transports in cardiovascular system and exchange of gases in respiratory system also biomedical engineering hurt lungs machine, ventilators and dialysis machine work on automatic and vital process of peristalsis. In industrial processes toxic and nontoxic fluids, forceful chemicals, IV fluids and various industrial material are transported through the peristaltic pumps which operate on the mechanism of peristalsis. Latham [1] and Shapiro et al. [2] are probably the first who examined the peristaltic transport of viscous fluid without any physiological application. A lot of research work has been * F. Mabood [email protected] 1
Department of Information Technology, Fanshawe College, London, ON, Canada
Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan
2
reported in the literature regarding the peristaltic motion of Newtonian fluids under different physical conditions some motivational studied can been seen in [3–13]. An interesting field in fluid mechanics is to observe the dynamics of fluids in rigid body rotation due to its significant applications in cosmic and geological applications. Rigid body rotation has great influence in understanding the circulation of occasions and development of galaxies, rot
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