Study the combined effect of electric field and variable viscosity on the stability of dielectric nanofluid (CuO plus water) within a Hele-Shaw cell

In this research article, the combined effect of electric field and variable viscosity on the stability of dielectric nanofluid (CuO + water) within a Hele-Shaw cell is studied. The normal mode technique has been implemented for linear stability analysis and the truncated Fourier series method for nonlinear stability analysis. The effect of the Hele-Shaw number, thermorheological parameter, and alternating current electric Rayleigh number on the onset of convection and heat/mass transfer has been investigated analytically, graphically, and using tables. It is observed that the effect of the thermorheological parameter has a destabilizing effect, and the value of the parameter is always less than 2 for this study. We also found that the Hele-Shaw number has stabilizing effect, and it is always greater or equal to 1.6 for this study. The effect of alternating current electric Rayleigh number is destabilized. We observed that in the whole analysis, numerical results are better than analytical results.

Automated summary

The combined effect of electric field and variable viscosity on the stability of dielectric nanofluid (CuO + water) within a Hele-Shaw cell was studied. Linear stability analysis using the normal mode technique and nonlinear stability analysis using the truncated Fourier series method were implemented. The influences of Hele-Shaw number, thermorheological parameter, and alternating current electric Rayleigh number on convection and heat/mass transfer were investigated analytically, graphically, and using tables. It was found that the thermorheological parameter had a destabilizing effect, while the Hele-Shaw number had a stabilizing effect. The alternating current electric Rayleigh number had a destabilizing effect as well. Numerical results were observed to be better than analytical results throughout the analysis.