Numerical analysis of MHD double diffusive nano-fluid convection in a cavity using FEM

Numerical analysis of MHD double diffusive nano-fluid convection in a cavity using FEM

P. Nithish Reddy K. Murugesan V. Koushik 

Mechanical Engineering Department, Sreenidhi Institute of Science and Technology, Hyderabad 501301, India

Mechanical & Industrial Engineering Department, Indian Institute of Technology Roorkee, Roorkee 247667, India

Corresponding Author Email: 
dr.nithish.reddy@gmail.com
Page: 
589-612
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DOI: 
https://doi.org/10.3166/ACSM.42.589-612
Received: 
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Accepted: 
| | Citation

OPEN ACCESS

Abstract: 

In this paper double diffusive convection phenomenon in a cavity subjected to magnetic field is studied. Various investigations are conducted on heat and mass transfer rates in the cavity filled with water based nano fluid containing different nano particles including Ag, Cu and TiO2. The side walls of the cavity are differentially heated and concentrated while both the top and bottom walls are kept adiabatic to heat and mass flow. Galerkin’s weighted residual finite element method is used to solve the conservation equations namely vorticity transport equation, velocity Poisson equations, energy and mass balance equations. Maxwell-Garnett model is used for evaluating thermal conductivity ratio and Brinkman model is used in predicting the effective viscosity. Numerical investigations are carried out on the effect of parameters like magnetic field intensity, particle volume fraction, type of nano particles and thermal Rayleigh number on heat and mass transfer rates in the system. The effect of inclusion of nano particles at different levels of magnetic field intensities is studied and results obtained with different nano particles with variation in Hartmann number are compared. It is observed that maximum of 71% and 78% loss is observed in Nusselt and Sherwood numbers respectively with increment in Hartmann number from 0 to 100.The gain or loss in the ratio of Nusselt of nano fluid to that of base fluid tend to increase with increase in intensity of magnetic field and particle volume fraction

Keywords: 

double diffusive convection, magnetic field, nano fluid, and cavity

1. Introduction
2. Governing equations
3. Solution methodology
4. Results and discussion
5. Conclusion
Nomenclature
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