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Results tagged with viscosity
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user 4864
The viscosity of a fluid is a measure of its resistance to flow, or be deformed, stirred, and changed shape.
4
votes
Accepted
In the classic viscosity definition, why does doubling the plate gap cause the force to halv...
The reason is that the flow of momentum is proportional to the momentum gradient. When you double the spacing, keeping the velocity fixed, the gradient is halved.
The momentum is doing diffusion, if …
0
votes
Do we have viscous force acting between two layers
The fundamental reason why solids and fluids are different in this respect is broken symmetry. The fluid doesn't break translational invariance, so that there is a continuous notion of conserved momen …
3
votes
Accepted
Strict general mathematical definition of drag
int_{\partial R} \rho v^i v\cdot \hat{n} + \int_{\partial R} (P \hat{n} + \nu(\rho) \nabla v^i )\cdot \hat{n} $$
Where $\hat{n}$ is the normal to the boundary of $R$, $P$ is the pressure, $\nu$ is the viscosity … of two terms across the surface, the pressure across the object, which tells you how much the object is pushing to get the water to go around, and the gradient of the velocity, which describes how the viscosity …
11
votes
Accepted
Is there an analytical solution for fluid flow in a square duct?
The equation is
$$ \nabla^2 \phi = -A $$
Where A is the (negative) pressure gradient over the viscosity, in length units where the size of the box is 2. …
3
votes
Equations of fluid dynamics and differential geometry
The standard reference for this is Arnold and Khesin "Topological Methods in Hydrodynamics", which is excellent.