Effect of magnetic field and radiation on heat transfer analysis of nanofluid inside a square cavity filled with silver nanoparticles: Tiwari-Das model

Tiwari-Das model water- Ag-based radiative nanofluid heat transfer and fluid flow features inside a square cavity with adiabatic conditions on horizontal walls and isothermal conditions on both side walls, by taking magnetic field into account, are examined numerically in this analysis. The non-linear partial differential equations representing momentum and temperature equations are evaluated numerically by utilizing a finite difference method. The sketches of isotherms and stream lines of nanofluid inside the cavity with dissimilar values of radiation parameter (0.1 <= R <= 0.9), Reynolds number (0.1 <= Re <= 0.5), volume fraction parameter (0.01 <= phi <= 0.09), Rayleigh number (100 <= Ra <= 1000), magnetic field parameter (1.0 <= M <= 3.0) and Prandtl number (5.2 <= Pr <= 7.2) are plotted through graphs. The values of dimensionless Nusselt number with various values of pertinent parameters are also examined and results are represented in terms of plots. Heat transfer rate is intensified from 6.3% to 12.4% when silver nanoparticle of volume fraction 0.05 is suspended into the water.

Automated summary

This study numerically examines the heat transfer and fluid flow characteristics of Tiwari-Das model water-silver-based radiative nanofluid inside a square cavity under the influence of a magnetic field. Graphs are used to illustrate the isotherms and streamlines of the nanofluid under different parameter values, while dimensionless Nusselt numbers are calculated and presented in terms of plots. Heat transfer rate increases from 6.3% to 12.4% when silver nanoparticles with a volume fraction of 0.05 are suspended in water.