Heat and mass transfer analysis in unsteady flow of tangent hyperbolic nanofluid over a moving wedge with buoyancy and dissipation effects

Gurju Awgichew,Eshetu Haile,Tadesse Walelign,Tesfaye Kebede

doi:10.1016/j.heliyon.2020.e03776

Gurju Awgichew, Eshetu Haile + Show 2 more

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https://doi.org/10.1016/j.heliyon.2020.e03776

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Journal: Heliyon	Publication Date: Apr 1, 2020
Citations: 30	License type: cc-by

Affiliation: Bahir Dar University

Abstract

In this study, a convective heat and mass transfer phenomena in a time-dependent boundary layer flow of tangent hyperbolic nanofluid over a permeable stretching wedge has been examined with respect to some pertinent thermo-physical parameters. Convenient similarity transformation is used to reformulate the dimensional partial differential equations into dimensionless system of ordinary differential equations. The reduced set of equations is solved by the homotopy analysis method implemented in Mathematica environment. The effects of the relevant parameters on velocity, temperature and concentration profiles were examined in detail. The impacts of the parameters on the rates of momentum, heat and mass transfer are also analyzed quantitatively in terms of the wall friction coefficient, local Nusselt number and Sherwood number, respectively. Analysis of the results reveals that the increase in the buoyancy ratio parameter facilitates the flow velocity and the increase in the dissipation parameter maximizes the temperature distribution and nanoparticle concentration near the surface of the wedge. Moreover, the analytic approximations obtained by implementing the homotopy analysis method are found in excellent agreement with some previously published results.

Highlights

In manufacturing industries, the rate of heat transfer has significant effects on cost of production and quality of products
In order to enhance the thermal conductivity of traditional fluids such as engine oils, water and air, Choi [1] introduced the concept of nanofluids, which refers to innovative fluids comprising of base liquids with uniform and stable suspension of nano-sized particles
√V0 1−ct is the transpiration velocity representing the mass transmission at the surface of the stretching wedge with V0 as the constant value of velocity; hf and hc are respectively the convective heat and mass transfer coefficients

Summary

Introduction

The rate of heat transfer has significant effects on cost of production and quality of products. A comprehensive analysis for the reason behind the extraordinary thermal conductivity of nanofluids was reported by Buongiorno [2] With this understanding, a number of investigations have been conducted to outline the boundary layer flow of nanofluids with heat and mass transfer phenomena. Ullah et al [14], Hashim et al [15] and Jyothi et al [16] considered flow phenomena and heat transfer properties of certain non-Newtonian fluids over wedge-shaped surfaces. Atif et al [10] employed the shooting technique to analyze heat and mass transfer of tangent hyperbolic nanofluid past a wedge Both the studies did not examine the effects of certain relevant parameters such as permeability of the wall, buoyancy force, viscous dissipation, Joule heating and heat source. In order to further validate the accuracy of our results, comparisons are made between certain results of the present study and some previously published studies under common assumptions; and they are found in excellent agreement

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