What is Slip condition: Definition and 11 Discussions
In fluid dynamics, the no-slip condition for viscous fluids assumes that at a solid boundary, the fluid will have zero velocity relative to the boundary.
The fluid velocity at all fluid–solid boundaries is equal to that of the solid boundary. Conceptually, one can think of the outermost molecules of fluid as stuck to the surfaces past which it flows. Because the solution is prescribed at given locations, this is an example of a Dirichlet boundary condition.
The problem states:
Two parallel plates separated by distance h, the plate at the top moves with velocity V, while the one at the bottom remains stationary.
My initial approach was:
I considered, ##du/dy = V/h## and for the shear stress ##\tau = \mu \frac{\partial u}{\partial y}##
For...
In an Inviscid fluid would the no slip condition exist?
If it didn't would it follow that the free stream velocity would exist at the wall ?.
If this was the case would surface roughness still present an orthogonal area upon which the kinetic energy of the fluid would interact causing a...
The no slip condition has been described as the adhesion of a fluid to a solid surface setting the relative fluid velocity to zero - cohesion (viscous stress) between fluid elements spreads evenly the velocity gradient through the boundary to the free stream.
This also infers that the pressure...
Homework Statement
i was told that
For a given fluid the velocity of fluid in contact with with solid boundary is equal to the velocity of solid boundary in a book . In another book , I was told that the velocity of fluid at the solid boundary is 0 , which is correct ? can someone explain...
Hi,
I'm working on a wheel loader task and my mission is to optimize the feul consumbtion and controlling the slipp using a appropriate optimal control method. All data is from the tires and I have to by some method tell the motor how much it has to give to machine to drive.
Anyone suggest a...
Homework Statement
A yo-yo is pulled with a constant tension T. The string is horizontal and parallel to the table and unwinding from the bottom of the spool, as shown. The yo-yo's outer radius is R and the spool radius is r. The mass of the yo-yo is m and the moment of inertia of the yo-yo...
Wondering if someone could link me to a derivation of this formula? It's on the Wikipedia page for the no-slip condition.
u - u_wall = β ∂u/∂n
β = slip length
n = coordinate normal to the wall
Homework Statement
Massless and inextensible string is wrapped around the periphery of a homogeneous cylinder of radius R = 0.5 m and mass m = 2 kg. The string is pulled straight away from the upper part of the periphery of the cylinder, without relative slipping. The cylinder moves on a...
Consider a bearing joint together with a long pipe (with radius a) by using shrink-fitting. The grip between the pipe and the inner ring of the bearing give rise to the surface pressure p at the interface. If a moment M now is applied to the pipe, what will the slip condition between the two...
Is it necessary for the channel walls to move for the applicability of Navier's slip condition at the boundary. i.e., Is it possible that the channels walls are fixed, but we can apply the Navier's slip condition at both the channel walls.