Abstract

A theoretical investigation is done to analyze the heat transfer features of non-Newtonian Casson fluid in a porous microtube with electro kinetic effects associated with the applied magnetic field. The exact analytical solutions the velocity and temperature profiles of non-Newtonian Casson fluid in porous micro-tube related to combining effects of electromagnetohydrodynamics forces and electrokinetic forces have been obtained using a variation of parameter. Temperature and flow distribution characteristics of Casson fluid flow are controlled by the obtruded pressure-gradients, applied a magnetic field and electro-kinetic forces. The exciting features of the electromagnetohydrodynamics flow along with the features of the heat flow rate are examined by variation in the non-dimensional physical arguments on velocity and temperature functions. The effect of the Casson parameter on the velocity and temperature profiles has been investigated analyzed. The fluid flow rate and the heat transfer rate of Casson fluid within porous micro-tube is controlled by the strength applied electric and magnetic field.

Highlights

  • To design an efficient small scale system, microfluidics is used in many applications which involves heat and mass transfer characteristics, separation, detection, and analysis of blood, proteins, food, etc. in micro-organs of living animals or plants

  • It was found that the flows in microchannels can be augmented by using the combined effects of electromagnetohydrodynamics (EMHD) and it was experimentally [7] found that the standard flow rates in microchannels can be considerably increased by using minimum strength of the magnetic field

  • The exact solutions for the velocity and temperature distribution of the non-Newtonian Casson fluid flow inside the EDL are analyzed by variation of the physical parameters associated with the combined effect of Hartman number (Ha) and lateral transverse electric field(S)

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Summary

Introduction

To design an efficient small scale system, microfluidics is used in many applications which involves heat and mass transfer characteristics, separation, detection, and analysis of blood, proteins, food, etc. in micro-organs of living animals or plants. The combined effect of the magnetic field and heat generation on nonDarcy mixed convection flow through a porous medium channel has been analyzed by Chamkha [12]. The non-Newtonian behavior of blood in a stenosed artery over the plaque is considered as Casson fluid flow in a porous medium (Buchanan et al.,[16]; Chakravarty [17]; Cho and Kensey [18]). Jian [28] investigated the transient MHD heat transfer and entropy generation through a micro parallel channel with combined electroosmotic effects and pressure gradient. Thermal characteristics of an EMHD flow through microchannel under constant wall heat flux conditions are analyzed by Chakraborty et al [29] The objective of this investigation is to study the features of momentum and heat transport for Casson fluid flow in porous microtube under electrokinetic force associated with pressure and magnetic energy. The effect of the Casson parameter and strength of the magnetic parameter (Ha) on the velocity and temperature distribution has been examined and analyzed

Mathematical modeling and problem description
Potential distribution within EDL
Governing equations and velocity distribution analysis
Temperature distribution and heat transfer analysis
Results and discussion
Conclusions
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