Entropy optimization for peristalsis of Rabinowitsch nanomaterial
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ORIGINAL ARTICLE
Entropy optimization for peristalsis of Rabinowitsch nanomaterial Tasawar Hayat1,2 · Sadaf Nawaz1 · Ahmed Alsaedi2 · Habib M. Fardoun3 Received: 3 June 2020 / Accepted: 7 August 2020 © King Abdulaziz City for Science and Technology 2020
Abstract This work models new formulation for peristaltic activity of Rabinowitsch material in a compliant walls channel. Energy equation is accounted in the presence of viscous dissipation and heat source/sink. Chemical reaction is included in concentration expression. Nanomaterial characteristics are due to Brownian motion and thermophoresis. Slip condition is utilized for velocity, temperature and concentration. Exact solution is obtained for velocity. Further NDSolve is utilized for the graphical analysis of temperature, concentration, entropy and heat transfer coefficient at the wall. Results are also analyzed for viscous, shear thickening and shear thinning fluids. This study reveals the results that the shear thinning fluids move with greater velocity than the viscous and shear thickening fluids. Similarly, temperature and entropy generation also has higher values for shear thinning case when compared with others. Further heat source parameter enhances the temperature, whereas sink parameter leads to decay. Slip parameter for velocity and temperature caused an increase in the respective velocity and temperature. Moreover, chemical reaction parameter leads to enhancement in temperature and entropy generation in case of viscous, shear thickening and shear thinning fluids. However, shear thinning fluids are found prominent. Keywords Rabinowitsch nanofluid · Peristalsis · Slip conditions · Heat source/sink · Chemical reaction and entropy generation
Introduction Peristalsis is a notable mechanism for the researchers due to its involvement in internal transportation in living organisms and external locomotion of worms. This activity is stimulated by the waves of contraction and expansion along the channel walls for transport of fluids. It is the inherent property of muscles. Almost all kind of transportation of fluid in the human body is due to this activity. No doubt this activity is responsible for transport of biological fluids including semen, blood, chyme, etc. Transportation in excretory system (where urine is transported from kidney to * Sadaf Nawaz [email protected] 1
Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan
2
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
3
Department of Information Systems, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia
bladder) is due to peristalsis. Vasomotion of blood vessels through capillary system is in view of peristaltic motion. Moreover, this mechanism is found in cardio-vascular pumping in embryonic heart. Peristalsis is also involved in blood pumps, dialysis machine, infusion pumps and corrosive
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