Eur. Phys. J. Plus (2016) 131: 303
https://doi.org/10.1140/epjp/i2016-16303-4

Regular Article

Ramification of variable thickness on MHD TiO₂ and Ag nanofluid flow over a slendering stretching sheet using NDM

¹ Dept. of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India
² Dept. of Mathematics, A.B.N.Seal College, Cooch Behar, PIN-736101, West Bengal, India

^* e-mail: nilankushacharya@gmail.com

Received: 24 June 2016
Revised: 2 August 2016
Accepted: 3 August 2016
Published online: 9 September 2016

Abstract

The present investigation reveals the effect of variable thickness on the steady two-dimensional boundary layer flows of a TiO₂-water and Ag-water nanofluid through a slendering stretching sheet. The whole analysis has been performed in the presence of variable magnetic field and variable surface temperature. Similarity transformation has been introduced to renovate the non-linear partial differential equations into ordinary ones and then they were solved using the innovative technique of Natural decomposition method (NDM). The influence of pertinent parameters on velocity and temperature distribution has been illustrated by means of graphs and tables approach. Our analysis conveys that the temperature of the nanofluid reduces due to enhancing of the variable thickness parameter. The rate of heat transfer is significantly reduced for the Ag-water nanofluid with the positive impact of nanoparticle volume fraction.