Eur. Phys. J. Plus (2020) 135: 732
https://doi.org/10.1140/epjp/s13360-020-00759-0

Regular Article

Natural convection of dusty nanofluids within a concentric annulus

¹ Department of Applied Mathematics, University of Dhaka, 1000, Dhaka, Bangladesh
² Department of Mathematics, University of Barishal, 8200, Barishal, Bangladesh
³ Department of Mathematics, University of Dhaka, 1000, Dhaka, Bangladesh

^a lksaha@du.ac.bd

Received: 24 July 2020
Accepted: 5 September 2020
Published online: 15 September 2020

Abstract

This study expounds the numerical simulation of two-phase dusty nanofluid flow in an annulus surrounded by two concentric cylinders. The flow is generated in the annulus because of the temperature difference between the heated inner wall and cold outer wall. An appropriate variable transform which transfigures the annular domain into a rectangular one is introduced in this study. The governing equations for the nanofluid phase and dusty phase in transformed coordinates are solved by employing finite difference technique. The momentous results to analyze the flow and heat transfer are blazoned for physically significant parameters, namely, the nanoparticles volume fraction, the Rayleigh number, the aspect ratio, the density ratio and the dusty parameter. Results establish that the flow strength can be increased by incrementing the nanoparticles volume fraction, the Rayleigh number and the aspect ratio. Besides, heat transfer can be enhanced at the both walls by incrementing the nanoparticles volume fraction and the Rayleigh number and can be diminished by incrementing the density ratio and the dusty parameter.