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Results tagged with fluid-dynamics
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user 67596
The quantitative study of how fluids (gases and liquids) move.
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 …
CommunityBot
- 1
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 …
- 66
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 …
- 66
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 …
- 66