Effect of zero mass flux condition on heat and mass transfer analysis of nanofluid flow inside a cavity with magnetic field

P. Sudarsana Reddy; P. Sreedevi

doi:10.1140/epjp/s13360-021-01095-7

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2024 Impact factor 2.9

EPJ PLUS - Condensed Matter and Complex Systems

Eur. Phys. J. Plus (2021) 136: 102
https://doi.org/10.1140/epjp/s13360-021-01095-7

Regular Article

Effect of zero mass flux condition on heat and mass transfer analysis of nanofluid flow inside a cavity with magnetic field

P. Sudarsana Reddy^a and P. Sreedevi

Department of Mathematics, Rajeev Gandhi Memorial College of Engineering and Technology, Nandyal, AP, India

^a suda1983@gmail.com

Received: 6 September 2020
Accepted: 8 January 2021
Published online: 19 January 2021

Abstract

The present paper examines steady natural convection of Buongiorno’s model nanofluid flow in a square cavity with enhanced mass flux boundary condition numerically. The impact of magnetic field, Brownian motion, radiation and thermophoresis is also considered in this analysis. The governing equations are represented in terms of stream function, temperature and concentration which are solved by utilizing finite difference method of second-order accuracy. The results are presented in the form of streamlines, temperature lines, concentration lines, local Nusselt number and Sherwood number for various values of influenced parameters, such as, Rayleigh number $(100 \leq Ra \leq 10^{3})$ $\left( {100 \le {\text{Ra}} \le 10^{3} } \right)$ , Magnetic parameter $(0.1 \leq M \leq 0.5)$ $\left( {0.1 \le {\text{M}} \le 0.5} \right)$ , Buoyancy ratio parameter $(0.1 \leq Nr \leq 1.0)$ $\left( {0.1 \le {\text{Nr}} \le 1.0} \right)$ , Radiation number $(0.1 \leq R \leq 1.0)$ $\left( {0.1 \le {\text{R}} \le 1.0} \right)$ , Brownian motion number $(0.1 \leq Nb \leq 0.7)$ $\left( {0.1 \le {\text{Nb}} \le 0.7} \right)$ , Thermophoresis number $(0.1 \leq Nt \leq 1.0)$ $\left( {0.1 \le {\text{Nt}} \le 1.0} \right)$ and Lewis number $(10 \leq Le \leq 20)$ $\left( {10 \le {\text{Le}} \le 20} \right)$ are represented through graphs. The outcomes indicate that noticeable intensification in rate of heat transfer is perceived after suspending nanoparticles. Furthermore, increasing the values of both thermophoresis and Brownian motion parameters augments the values of Nusselt number inside the cavity.