Abstract

In this manuscript, the authors developed the mathematical model for entropy generation analysis during the peristaltic propulsion of Jeffrey nanofluids passing in a midst of two eccentric asymmetric annuli. The model was structured by implementation of lubrication perspective and dimensionless strategy. Entropy generation caused by the irreversible influence of heat and mass transfer of nanofluid and viscous dissipation of the considered liquid was taken into consideration. The governing equations were handled by a powerful analytical technique (HPM). The comparison of total entropy with the partial entropy was also invoked by discussing Bejan number results. The influence of various associated variables on the profiles of velocity, temperature, nanoparticle concentration, entropy generation and Bejan number was formulated by portraying the figures. Mainly from graphical observations, we analyzed that, in the matter of thermophoresis parameter and Brownian motion parameter, entropy generation is thoroughly enhanced while inverse readings were reported for the temperature difference parameter and the ratio of temperature to concentration parameters.

Highlights

  • Nanofluid, characterized by a significant increase in a number of properties compared to conventional engineered fluid [1], is found to serve in many practical applications, for example, petroleum engineering [2,3,4,5], power industry [6,7], and medical science [8,9], which has drawnCoatings 2020, 10, 213; doi:10.3390/coatings10030213 www.mdpi.com/journal/coatingsCoatings 2020, 10, 213 particular attentions for cancer treatments in recent years

  • The authors obtained the quantitative analysis of nanoparticles in Jeffery fluid flowing past eccentric annuli having peristaltic waves at the outer surface

  • Entropy generation analysis and Bejan number characteristics were investigated for peristaltic propulsion

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Summary

Introduction

Nanofluid, characterized by a significant increase in a number of properties compared to conventional engineered fluid [1], is found to serve in many practical applications, for example, petroleum engineering [2,3,4,5], power industry [6,7], and medical science [8,9], which has drawn. Hanahan and Weinberg [10] have explained six cancer hallmarks, helping to differentiate features between the tumor and normal tissue, and maybe come up with better alternative therapies These hallmarks include inducing activating invasion and metastasis, resisting cell death, angiogenesis, enabling replicative immortality, sustaining proliferative signaling, and evading growth suppressors. Abbas et al [12] have provided mathematical modelling to describe the peristaltic transport of blood (blood is treated as nanofluid) and analyzed the entropy analysis They concluded that such a study can help in analyzing blood flow in small blood vessels with elastic walls. Bhatti et al [15] studied the two-phase flow under the effects of coagulation with peristaltic pumping through the Prandtl stress model, with magnetic field and porous medium terms They analyzed that friction forces flourish with the altitude of clot height and particle concentration, on the other hand they are minimized with other involving factors in the problem.

Mathematical Analysis
Solution Procedure
Entropy Generation
C T r2 θ θ
Results and Discussion
Residual
Variation
12. Variation
20. Fromin
20. Curves
Conclusion
Methods
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