K VENKATADRI - Department of Mathematics, Sreenivasa Institute of Technology and Management studies
A shobha - Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirupati
C Venkata Lakshmi - Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam Tirupati.
V Ramachandra Prasad - Department of Mathematics, SAS VIT University, Vellore.
B. Md Hidayathulla Khan - Department of Mathematics, Sir Vishveshwaraiah Institute of Science and Technology Madanapalle.

The augment of heat transfer and fluid of buoyancy-driven flow of Fe۳O۴-Water nanofluid in a square cavity under the influence of an external magnetic field is studied numerically. Cold temperature is applied on the side (vertical) walls and high temperature is imposed on the bottom wall while the top wall is kept at thermally insulated. The governing non-dimensional differential equations are solved using Marker and Cell (MAC) Algorithm. The developed MATLAB code is validated with previous literature and it gives good agreement. The effects of Rayleigh number Ra, Prandtl number Pr and Hartmann number Ha on the flow and heat transfer characteristics are analyzed. Results indicate that the temperature gradient is an increasing function of the buoyancy force. The heat transfer characteristics and flow behavior are presented in the form of streamlines and isotherms. The position of magnetic wire is played a vital role in controlling of heat transfer rate.

MAC Method, Magnetizable Fluid, magnetic sources, enclosure, Nanofluid