Eur. Phys. J. Plus (2016) 131: 62
https://doi.org/10.1140/epjp/i2016-16062-2

Regular Article

Natural convection in a wavy open porous cavity filled with a nanofluid: Tiwari and Das’ nanofluid model

¹ Department of Theoretical Mechanics, Tomsk State University, 634050, Tomsk, Russia
² Institute of Power Engineering, Tomsk Polytechnic University, 634050, Tomsk, Russia
³ Department of Applied Mathematics, Babeş-Bolyai University, CP 253, 400082, Cluj-Napoca, Romania
⁴ S.A.I.C.O, 1111 Arlington Blvd, 22209, Arlington, VA, USA

^* e-mail: michael-sher@yandex.ru

Received: 10 August 2015
Revised: 13 November 2015
Accepted: 25 January 2016
Published online: 22 March 2016

Abstract

Natural convective heat transfer and fluid flow in an open porous cavity filled with a nanofluid is studied numerically using the Tiwari and Das nanofluid model. The transport equations for mass, momentum and energy formulated in dimensionless stream function and temperature are solved numerically using a second-order accurate finite difference method. Particular efforts are focused on the effects of the governing parameters on the heat and fluid flow. It is found that an increase in undulation number of the wavy vertical wall leads to an attenuation of convective flow and a decrease in the heat transfer rate.