Affiliations: [a] Department of Mathematics, Government P.G. Collage, Pithoragarh, India | [b] Department of Mathematics, University of Petroleum and Energy Studies, Dehradun, India | [c] Institute of Computer Application, Manglayatan University, Aligarh, India
Correspondence:
[*]
Corresponding author: Mukesh Kumar Awasthi, Department
of Mathematics, University of Petroleum and Energy Studies,
Dehradun 248007, India. E-mail: mukeshiitr.kumar@gmail.com.
Abstract: We study the electrohydrodynamic capillary instability of the
interface between two uniform superposed viscous and electrically conducting
fluids in the presence of a free surface charge, when there is heat and mass
transfer across the interface. The fluids are subjected to the uniform electric
field in the axial direction and the viscous potential flow theory is used for
the investigation. A quadratic dispersion relation that accounts for the growth
of disturbance waves is derived for the linear stability analysis and the
stability of the system is analyzed theoretically and numerically. The
stability criterion is given in terms of the critical value of applied electric
field as well as critical wave number. Various graphs with respect to physical
parameters such as electric field, heat transfer coefficients, conductivity and
permittivity ratio are drawn and effect of various parameters is described. It
is observed that free surface charge and electric field both have stabilizing
effect on the stability of the system.
Keywords: Capillary instability, electrohydrodynamics, free surface charge, heat and mass transfer
