Lie group analysis of nanofluid slip flow with Stefan Blowing effect via modified Buongiorno’s Model : entropy generation analysis

Rana, P, Shukla, N, Beg, OA ORCID: https://orcid.org/0000-0001-5925-6711 and Bhardwaj, A 2019, 'Lie group analysis of nanofluid slip flow with Stefan Blowing effect via modified Buongiorno’s Model : entropy generation analysis' , Differential Equations and Dynamical Systems .

[img]
Preview
PDF - Accepted Version
Download (726kB) | Preview

Abstract

This article presents a detailed theoretical and computational analysis of alumina and titania-water nanofluid flow from a horizontal stretching sheet. At the boundary of the sheet (wall), velocity slip, thermal slip and Stefan blowing effects are considered. The Pak-Cho viscosity and thermal conductivity model is employed together with the non-homogeneous Buongiorno nanofluid model. The equations for mass, momentum, energy and nanoparticle species conservation are transformed via Lie-group transformations into a dimensionless system. The partial differential boundary value problem is therefore rendered into nonlinear ordinary differential form. With appropriate boundary conditions, the emerging normalized equations are solved with the semi-numerical homotopy analysis method (HAM). To consider entropy generation affects a second law thermodynamic analysis is also carried out. The impact of some physical parameters on the skin friction, Nusselt number, velocity, temperature and entropy generation number (EGM) are represented graphically. This analysis shows that diffusion parameter is a key factor to retards the friction and rate of heat transfer at the surface. Further, temperature of fluid decreases for the higher value of thermal slip parameter. In addition, entropy generation number enhances with nanoparticles ambient concentration and Reynolds number. A numerical validation of HAM results is also included. The computations are relevant to thermodynamic optimization of nano-material processing operations.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Journal or Publication Title: Differential Equations and Dynamical Systems
Publisher: Springer
ISSN: 0971-3514
Related URLs:
Depositing User: OA Beg
Date Deposited: 14 Mar 2019 09:36
Last Modified: 04 Feb 2020 02:30
URI: http://usir.salford.ac.uk/id/eprint/50339

Actions (login required)

Edit record (repository staff only) Edit record (repository staff only)

Downloads

Downloads per month over past year