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The quantitative study of how fluids (gases and liquids) move.

1 vote
Accepted

Exact solution to a 2D/3D Poiseuille flow in a channel

Hele-Shaw flow - the flow between two closely spaced parallel plates can be regarded as a spaciel case of 3D Poiseuille flow. It's governing equations are: $\frac{\partial u}{\partial x}+\frac{\parti …
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0 votes

Tank draining with piston

Your equations are correct. It's just that you have a degree of freedom. You can obtain a relationship between the force you exert and the velocity you obtain by modeling the piston itself: $M_p\frac …
Arietul's user avatar
  • 66
1 vote
2 answers
276 views

Eulerian mass conservation on a stream line to Lagrangian mass conservation

if the density of a fluid particle is conserved on a streamline, $$\frac{d\rho}{dt}=0.$$ Why does this mean $$\frac{\partial \rho}{\partial t}+(\mathbf{v}\cdot\nabla)\rho=0$$ is true everywhere? Why i …
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0 votes

Is there a speed limit for objects falling in gases or liquids?

Terminal velocity of a free falling object is obtained at the moment its acceleration vanishes \begin{equation} \Sigma\mathbf{F}=0. \end{equation} The forces that act on the object while falling are t …
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