Regular Article - Soft Matter
Study of heat and mass transport on the instability of a swirling viscoelastic liquid film
Department of Mathematics, Babasaheb BhimraoAmbedkar University, Lucknow, India
2 Department of Applied Mathematics, Faculty of Science, South Valley University, 83523, Qena, Egypt
Accepted: 2 March 2021
Published online: 22 March 2021
In this article, we examine the response of transport of mass and heat at the viscous gas–viscoelastic liquid interface, while the instability of the interface is defined by capillary instability. The fluids are enclosed in an annular region bounded by two rigid cylinders. The Oldroyd B-type viscoelastic fluid is considered and the outer cylinder is swirling with a uniform angular velocity. The governing mathematical equations are work out through the viscoelastic-viscous potential flow theory. The well-known normal mode procedure is utilized and a critical value of wave-number is calculated to determine the stability/instability norm for the interface. Various plots showing the effect of swirling, heat/mass transfer, etc. have been made and illustrated physically. The addition of swirl prevents the development of disturbance waves. We achieve that the transport of mass/heat at the interface reduces the amplitudes of perturbations.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021