Abstract

This work is aimed at describing the influences of MHD, chemical reaction, thermal radiation and heat source/sink parameter on peristaltic flow of Jeffery nanofluids in a tapered asymmetric channel along with slip and convective boundary conditions. The governing equations of a nanofluid are first formulated and then simplified under long-wavelength and low-Reynolds number approaches. The equation of nanoparticles temperature and concentration is coupled; hence, homotopy perturbation method has been used to obtain the solutions of temperature and concentration of nanoparticles. Analytical solutions for axial velocity, stream function and pressure gradient have also constructed. Effects of various influential flow parameters have been pointed out through with help of the graphs. Analysis indicates that the temperature of nanofluids decreases for a given increase in heat transfer Biot number and chemical reaction parameter, but it possesses converse behavior in respect of mass transfer Biot number and heat source/sink parameter.

Highlights

  • Nowadays, the study of nanofluids flow has created significant interest because of its wide ranging application in medical, biochemistry and industrial engineering

  • This work is aimed at describing the influences of MHD, chemical reaction, thermal radiation and heat source/sink parameter on peristaltic flow of Jeffery nanofluids in a tapered asymmetric channel along with slip and convective boundary conditions

  • Analysis indicates that the temperature of nanofluids decreases for a given increase in heat transfer Biot number and chemical reaction parameter, but it possesses converse behavior in respect of mass transfer Biot number and heat source/sink parameter

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Summary

Introduction

The study of nanofluids flow has created significant interest because of its wide ranging application in medical, biochemistry and industrial engineering. Choi (1995) experimentally proved that the suspension of solid nanoparticles with typical length scales of 1–50 nm with high thermal conductivity enhances the effective thermal conductivity and the convective heat transfer coefficient of the base fluid In his other work (Choi et al 2001), it was shown that the addition of a small amount (less than 1 % by volume) of nanoparticles to conventional heat transfer liquids increases the thermal conductivity of the fluid up to approximately two times. Masuda et al (1993) described that the effective thermal conductivity of nanofluids is higher to enhance the heat transfer as compared to conventional heat transfer. This phenomenon suggests that the possibility of using nanofluids in advanced nuclear systems by Buongiorno and Hu (2005). Some recent studies of nanofluids are given in the references (Anoop et al 2009; Gorla and Hossain 2013; Wang and Mujumdar 2008; Kakacand Pramuanjaroenkij 2009; Srinivasacharya and Surender 2014; Ellahi et al 2014)

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