Effects of circular rigid boundaries and Coriolis forces on the interfacial instability in a rotating annular Hele-Shaw cell.
We report analytical results for the development of instability of an interface between two immiscible, Newtonian fluid layers confined in a rotating annular Hele-Shaw cell. We perform a linear stability analysis and focus our study on the influence of both Coriolis force and curvature parameters on the interface instability growth rate. The results show that the Coriolis force does not alter the stability of a disturbance with a particular wave number but reduces the maximum growth rate. The results related to the role played by the confinement of the liquid layers are also shown to provide a modification of the fastest-growing mode and its corresponding linear growth rate.
Abidate
Asmaa
A
Faculté des Sciences Aïn Chok, UFR de mécanique, Maarif, Casablanca, Morocco.
Aniss
Said
S
Caballina
Ophélie
O
Souhar
Mohamed
M