https://doi.org/10.1140/epjs/s11734-022-00599-2
Regular Article
Temporal instability of nanofluid layer in a circular cylindrical cavity
1
Department of Mathematics, Babasaheb Bhimrao Ambedkar University, 226025, Lucknow, India
2
Department of Mathematical and Physical Sciences, University of Nizwa, Nizwa, Oman
Received:
16
December
2021
Accepted:
3
May
2022
Published online:
15
May
2022
The instability of an interface formed at the boundary of a circular cylindrical cavity is examined through an irrotational theory of viscous fluids. The cavity is assumed to be an infinite circular cylinder and the flow is considered to be two-dimensional. The cavity is filled with the Newtonian viscous fluid while the fluid outside the cavity is taken as Newtonian nanofluid. The normal mode procedure is employed and the growth rate parameter is calculated. The quadratic relationship in growth rate is achieved and for larger modes, it reduces to the case of the planar interface. The variety of nanofluids’ physical parameters is studied on the instability of the interface. The density of nanofluid makes the interface more unstable while nanofluid’s viscosity has stabilizing nature. The nanofluid with larger radius nanoparticles forms a more unstable interface than the smaller sized nanoparticles.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022
