https://doi.org/10.1140/epjp/s13360-020-00718-9
Regular Article
Dynamics of a liquid film on a porous layer under the action of electric force
1
Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt
2
Mathematics Department, Faculty of Science, Helwan University, Cairo, Egypt
c
AhmedAssaf@science.helwan.edu.eg
Received:
16
December
2019
Accepted:
27
August
2020
Published online:
6
September
2020
The motion of a Newtonian conducting liquid film is studied under the influence of a uniform voltage in a channel past a Darcy–Brinkman layer. The Benney equation of the considered system is derived under a weak inclination assumption. The stability criteria of the linearized system are investigated. Numerical solutions for the Benney equation are achieved with varying some physical properties. The results showed the rise of stability areas in the linearly unstable region and instability ones in the linearly unstable zone as well as and the dissimilarity between the effect of some parameters in certain situations from that expected by linear theory; namely the linear approach becomes no longer sufficient to accurately describe the nonlinear problem. The above results can be utilized by designing a device to control the system stability and obtain the optimum conditions.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
