Viscosity Variation in Exponentially on Benard-Marangoni-Electroconvection In a Dielectric Fluid Layer

  • Arpitha Raju Department of Electrical & Electronics Engineering, Dr. Ambedkar Institute of Technology, Bengaluru- 560056, India.
  • Rudranna Nandihalli Department of Electrical & Electronics Engineering, R V College of Engineering, Bengaluru- 560059, India.
  • C. E. Nanjundappa Department of Mathematics, Dr. Ambedkar Institute of Technology, Bengaluru-560056, India.
Keywords: AC electric field; Bénard-Marangoni-Electroconvection; Biot number; Galerkin technique; temperature dependent viscosity

Abstract

The analysis of Bénard-Marangoni-electroconvection in a dielectric fluid layer with respect to linear stability in the influence of uniform AC electric field which is vertical in nature is investigated where exponential form of temperature dependent viscosity (TDV). In the dielectric fluid, the lower surface is considered to be rigid at fixed temperature and the free upper boundary of the fluid layer is assumed to be non-negligible surface tension characterized by thermal boundary conditions. A Galerkin-type is based on the weighted residual method (WRM) has been used to obtain the eigenvalue for gravity and electric thermal Rayleigh number. The effect of viscosity parameter  is dual in nature, on Bénard–Marangoni electroconvection, depending on the selections of physical parameters, which leads to the formation of a sublayer at lower values of . As Biot number increases, there is a delay in electroconvection. It was found that critical electrical Rayleigh number and critical Marangoni number is to destabilizing effect on the system. Besides, increase in  electrical Rayleigh number, Marongoni  number and decrease in Biot number leads to contraction of cell size. A few results are known as recovered to special cases.

Author Biographies

Rudranna Nandihalli, Department of Electrical & Electronics Engineering, R V College of Engineering, Bengaluru- 560059, India.

Professor & Head,

Department of Electrical & Electronics Engineering,

R V College of Engineering,

Bengaluru- 560059, INDIA

C. E. Nanjundappa, Department of Mathematics, Dr. Ambedkar Institute of Technology, Bengaluru-560056, India.

Professor & Head,

Department of Mathematics,

Dr. Ambedkar Institute of Technology,

Bengaluru- 560056, INDIA

Published
2019-11-10