We introduce a dynamical description based on a probability density φ(σ, x, y, t) of the vorticity σ in two-dimensional viscous flows such that the average vorticity evolves according to the Navier-Stokes equations. A time-dependent mixing index is defined and the class of probability densities that maximizes this index is studied. The time dependence of the Lagrange multipliers can be chosen i...

Summary While several articles have been written on water waves flows with constant vorticity, little is known about the extent to which a non-constant vorticity affects flow structure, such as appearance of stagnation points. In order shed light this topic, we investigate in detail beneath solitary propagating an exponentially decaying sheared current. Our focus analyse numerically emergence F...

The flow of fluids and heat characteristics through free convection within an enclosed space has gained substantial study due to the various applications in manufacturing industries. This work examined influence buoyancy factors on normal a heated tube filled with Copper (Cu) nanofluid. method finite difference was employed characterize regulating fluid formulae, C++ programming language evalua...

This research describes the unsteady two-dimensional reacting flows around a circular cylinder. The numerical solution combines the random vortex method for incompressible two-dimensional viscous fluid flow with a Simple Line Interface Calculation (SLIC) algorithm for the propagation of flame interface. To simplify the governing equations, two fundamental assumptions namely Low Mach Number and ...

[1] The tidal flow field in a basin of small dimensions with respect to the tidal wavelength is calculated. Under these conditions, the tide becomes a standing wave oscillating synchronously (with a flat water surface) over the whole basin. The shallow water equations can thus be strongly simplified, expressing the discharge vector field in terms of a potential function and a stream function. T...