Effect of time-dependent sinusoidal electric field on the onset of electroconvection in a viscoelastic fluid layer

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Summary

The study examines the effect of a time-dependent sinusoidal electric field on the onset of electroconvection in a viscoelastic fluid layer. The results show that the electric field modulation can either stabilize or destabilize the system, depending on the frequency and other parameters.

Highlights

• The electric field modulation has a destabilizing effect at low frequencies and a stabilizing effect at moderate and high frequencies.
• The stress relaxation parameter has a dual impact, exhibiting a strong destabilizing effect at small frequencies and a strong stabilizing effect at moderate frequencies.
• The strain retardation parameter diminishes the destabilizing effect of modulation at small frequencies but reduces stabilization at large frequencies.
• The Prandtl number measures the relationship between viscous force and thermal force, and its increase exhibits a magnifying behavior regardless of the frequency range.
• The electric field modulation may induce or delay electroconvection in a viscoelastic dielectric fluid layer.
• The viscoelastic parameters play a significant role in the effective control of electroconvection subjected to modulation.
• The study demonstrates that the electric field modulation can be used to regulate convective instability in a horizontal layer of viscoelastic dielectric fluids.

Key Insights

• The electric field modulation has a significant impact on the onset of electroconvection in a viscoelastic fluid layer, and its effect can be either stabilizing or destabilizing depending on the frequency and other parameters.
• The stress relaxation parameter and strain retardation parameter have opposite effects on the system, with the former exhibiting a strong destabilizing effect at small frequencies and the latter diminishing the destabilizing effect of modulation at small frequencies.
• The Prandtl number plays a crucial role in determining the relationship between viscous force and thermal force, and its increase exhibits a magnifying behavior regardless of the frequency range.
• The viscoelastic parameters, including the stress relaxation parameter and strain retardation parameter, play a significant role in the effective control of electroconvection subjected to modulation.
• The electric field modulation can be used to regulate convective instability in a horizontal layer of viscoelastic dielectric fluids, and its effect can be either stabilizing or destabilizing depending on the frequency and other parameters.
• The study demonstrates the importance of considering the viscoelastic properties of the fluid in understanding the onset of electroconvection and the effect of electric field modulation.
• The results of the study have significant implications for the control of electroconvection in various applications, including micro-cooling systems and nanotechnology.

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Citation

Rudresha, C., Balaji, C., Shree, V. V., & Maruthamanikandan, S. (2024). Effect of time-dependent sinusoidal electric field on the onset of electroconvection in a viscoelastic fluid layer. arXiv. https://doi.org/10.48550/ARXIV.2412.17653