Peristaltic Flows of Nanofluid with Compliant Walls

Abstract

It is well established fact that peristalsis is employed in esophagus, intestine and stomach. This phenomenon is also used in blood pump machines, chyme in the gastrointestinal tract, sanitary materials transportation, roller and finger pumps and many others. Thermal management is major issue in a variety of industries including transportation, microelectronics, manufacturing and metrology. One of the most important approaches to accomplish faster cooling for many applications is to improve the heat transfer capabilities of standard heat transfer fluids. Scientists have recently concentrated on nanofluid for an increase about the heat transportability of traditional fluids by adding tiny nanoparticles. Nanofluids with high thermal conductivity and low viscosity, even at low particle concentrations, are important for heat transport applications. In addition the peristalsis of non-Newtonian fluids in channel with compliant walls has significance in biomechanics and engineering. We therefore focus about this topic here. This thesis has ten chapters. Relations of Cauchy stress tensors of non-Newtonian fluids and background information about literature review are given in chapter one. Chapter two examines peristalsis of nanoliquid in a compliant wall channel. Mixed convection and Hall current analysis are present. Partial slip and convective conditions are simultaneously discussed. Numerical computations have been executed for the velocity, nanoparticles concentration, temperature, and coefficient of heat transfer. Graphical analysis is presented. This chapter are published in International Communications in Heat and Mass Transfer 121 (2021) 105121. Chapter three elaborates the bioconvective peristaltic transport of nanoliquid with gyrotactic microorganisms. Channel walls are considered symmetric and elastic nature. Partial slip conditions are imposed. Thermal radiation is present in the energy equation. The results for velocity, concentration, temperature, heat transfer coefficient and density of motile microorganism are examined graphically. Results of this chapter are available in International Communications in Heat and Mass Transfer 129 (2021) 105693. Chapter four addresses MHD peristaltic motion of couple stress nanofluid in a channel with compliant walls. Influences of Ohmic heating and viscous dissipation are analyzed. Zero mass nanoparticle flux and convective condition are also imposed on channel walls. A numerical solution is obtained for large wavelength and small Reynolds numbers. The impacts of pertinent parameters of interest on concentration, temperature, and coefficient of heat transfer are scrutinized graphically. The result of this research is submitted in Mathematical Methods in the Applied Sciences. Chapter five describes impacts of wall flexibility on MHD peristaltic flow of Eyring–Powell nanofluid. Convective conditions are employed. No slip conditions are imposed on channel walls. Nanofluid model is considered by taking the impacts of thermophoresis and Brownian motion. Influences of pertinent variables on axial velocity, temperature, concentration and coefficient of heat transfer are inspected graphically. Material here is published in Journal of Thermal Analysis and Calorimetry 144 (2021) 1199-1208. Sixth chapter explores first-order chemical reactions and activation energy on MHD peristaltic activity of Eyring-Powell nanomaterial. Mathematical modelling for generation/absorption is organized. Velocity slip is imposed. Numerical results for velocity, concentration, temperature, rate of heat transfer and trapping are analyzed. Material of this study is published in International Communications in Heat and Mass Transfer 116 (2020) 104655. Chapter seven discusses slips aspects for peristaltic motion of fourth-grade nanoliquid. Elastic characteristics of channel walls are studied. Velocity, concentration and thermal slip effects are imposed. Thermal radiation and dissipation are studied. Comprehensive study for heat transfer coefficient, velocity, concentration of nanoparticles, temperature, velocity and trapping is arranged. Moreover the results for skin friction coefficient and Sherwood number are focused. The contents here are published in International Communications in Heat and Mass Transfer 119 (2020) 1046976. Chapter eight addresses impacts of entropy generation and Joule heating on MHD peristaltic activity of fourth-grade nanofluid. Analysis carried out by taking the effects of radiation and Arrhenius activation energy. Numerical technique is used to solve the resulting problem. Detailed analysis of the emerging parameters of interest on velocity, temperature, concentration, coefficient of heat transfer and entropy are graphically examined. The findings of this study have been submitted for publication in Applied Mathematics and Mechanics. Chapter nine inspected mixed convection peristaltic motion of tangent hyperbolic nanoliquid. Partial slip characteristics are imposed on flexible channel walls. We evaluated the transportation of heat for nonlinear thermal radiation. The roles of sundry variables on velocity, concentration, temperature and coefficient of heat transfer are examined graphically. Finally, key points of the analysis are organized. The results of this research have been submitted for publication in The European Physical Journal Plus. Chapter ten addresses peristaltic flow of MHD Sutterby nanomaterial with entropy generation and Hall aspects. Convective conditions are imposed for flexible channel walls. Energy and concentration equations are arranged in presence of Joule heating, thermal radiation, dissipation and activation energy. Resulting nonlinear system is numerically solved. Graphical analysis for velocity, temperature, concentration, heat transfer rate and entropy generation is analyzed. The contents of this chapter are published in Journal of Thermal Analysis and Calorimetry 143 (2021) 1867-1880