Cylinder instability in bounded flow with constant vorticity

Investigation of Entropy Generation in Stagnation Point Flow of Nano Fluid Impinging on the Cylinder with Constant Wall Heat Flux

: In this research, dimensionless temperature and entropy generation for the steady state flow in the stagnation point of incompressible nanofluid impinging on an infinite cylinder have been investigated. The impinging free stream is steady with a constant strain rate  k. Similarity solution of the Navier-Stokes equations and energy equation is derived in this problem. A reduction of these equa...

An instability criterion for viscoelastic flow past a confined cylinder

It has been known that there is a viscoelastic instability in the channel flow past a cylinder at high Deborah (De) number. Some of our numerical simulations and a boundary layer analysis indicated that this instability is related to the shear flow in the gap between the cylinder and the channel walls in our previous work. The critical condition for instability initiation may be related to an i...

Instability of the vertical annular flow with a radial heating and rotating inner cylinder

Dispersion relation for water waves with non-constant vorticity

We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only known explicitly in the case of constant vorticity. We provide a wide range of examples including polynomial, exponential, trigonometric and hyperbolic vorticity functions.

Nearly-hamiltonian Structure for Water Waves with Constant Vorticity

We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for steady waves.