Parametric analysis of the heat transfer behavior of the nano-particle ionic-liquid flow between concentric cylinders

Rehan Ali Shah,Hidayat Ullah,Aamir Khan,Muhammad Sohail Khan

doi:10.1177/16878140211024009

Abstract

This paper investigates the enhanced viscous behavior and heat transfer phenomenon of an unsteady two di-mensional, incompressible ionic-nano-liquid squeezing flow between two infinite parallel concentric cylinders. To analyze heat transfer ability, three different type nanoparticles such as Copper, Aluminum [Formula: see text], and Titanium oxide [Formula: see text] of volume fraction ranging from 0.1 to 0.7 nm, are added to the ionic liquid in turns. The Brinkman model of viscosity and Maxwell-Garnets model of thermal conductivity for nano particles are adopted. Further, Heat source [Formula: see text], is applied between the concentric cylinders. The physical phenomenon is transformed into a system of partial differential equations by modified Navier-Stokes equation, Poisson equation, Nernst-Plank equation, and energy equation. The system of nonlinear partial differential equations, is converted to a system of coupled ordinary differential equations by opting suitable transformations. Solution of the system of coupled ordinary differential equations is carried out by parametric continuation (PC) and BVP4c matlab based numerical methods. Effects of squeeze number ( S), volume fraction [Formula: see text], Prandtle number (Pr), Schmidt number [Formula: see text], and heat source [Formula: see text] on nano-ionicliquid flow, ions concentration distribution, heat transfer rate and other physical quantities of interest are tabulated, graphed, and discussed. It is found that [Formula: see text] and Cu as nanosolid, show almost the same enhancement in heat transfer rate for Pr = 0.2, 0.4, 0.6.

Highlights

Electrokinetic effects can be experienced and observed, when an ionic liquid comes into contact to the charged wall of a liquid flow channel
Nekoubin,1 studied an electroosmotic flow of non-Newtonian fluids through a curved rectangular microchannels by solving the system with SIMPLE finite method
They compared analytical results for transport characteristics of an electroosmotic flow obtained with a direct numerical simulation of NevierStokes equation, Nernst-Plank equation, and Poisson equation, simultaneously

Summary

Introduction

Electrokinetic effects can be experienced and observed, when an ionic liquid comes into contact to the charged wall of a liquid flow channel. Whereas effects of the hydro-magnetic squeezing flow of a viscous fluid between parallel plates have been discussed by Siddiqui et al.6 In both these investigations, solutions of the models have been carried out by a homotopy perturbation method (HPM). This paper investigates effect of different parameters on heat transfer behavior, flow velocity, and ions concentration distribution of an unsteady nano-ionicliquid flow through squeezing parallel cylinders. According to our literature survey there is no work available on this problem In this talk, an unsteady, two-dimensional, laminar, boundary layer flow, and heat transfer of nanoparticles based ionic-liquid between concentric cylinders under an influence of an induced electric field is investigated. (rnf ), (mnf ), (rCp)nf , and (knf ) are the effective density, the effective dynamic viscosity, the effective heat capacity, and the effective thermal conductivity of the nano-particle based ionic-liquid respectively, defined as rnf = (1 À f)rf + frs,.

Result and discussion

Conclusion