We consider the problem of recovering divergence-free velocity field ${\mathbf U}\in\mathbf{L}^2(\Omega)$ a given vorticity F}=\mathrm{curl}\,{\mathbf U}$ on bounded Lipschitz domain $\Omega\subset\mathbb{R}^3$. To that end, we solve "div-curl problem" for F}\in{\mathbf H}^{-1}(\Omega)$. The solution is expressed in terms vector potential (or stream function) A}\in{\mathbf H}^1(\Omega)$ such U}...

Heat transfer analysis of the pulsatile flow a hybrid nanofluid through constricted channel under impact magnetic field and thermal radiation is presented. Hybrid nanofluids form new class nanofluids, distinguished by properties functional utilities for improving heat rate. The behaviors water-based copper plus single-wall carbon nanotube, i.e., (Cu–SWCNT/water), over each velocity, wall shear ...

Stream surfaces are a classic flow visualization technique used to portray the characteristics of vector fields, and texture advection research has made rapid advances in recent years. We present a novel hybrid visualization of texture advection on stream surfaces. This approach conveys properties of the vector field that stream surfaces alone cannot. We apply the visualization technique to var...

Λ-vortex plays a critical role in the boundary layer transition process. In this paper, the mechanism of Λ-shaped rotational core formation is studied by DNS. The Blasius velocity profile is found to be the vorticity resource. The aggregation of vorticity (vortex filaments) is caused by the 2-D T-S wave. The mechanism of clustering of spanwise vorticity by 2-D T-S wave to form vortex tubes is s...

In their natural environment, fish must swim stably through unsteady flows and vortices, including vertical vortices, typically shed by posts in a flow, horizontal cross-flow vortices, often produced by a step or a waterfall in a stream, and streamwise vortices, where the axis of rotation is aligned with the direction of the flow. Streamwise vortices are commonly shed by bluff bodies in streams...