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Showing wall boundary condition. The most common boundary that comes upon in confined fluid flow problems is the wall of the conduit. The appropriate requirement is called the no-slip boundary condition, wherein the normal component of velocity is fixed at zero, and the tangential component is set equal to the velocity of the wall. [1]
Consider situation solid wall parallel to the x-direction: Assumptions made and relations considered- The near wall flow is considered as laminar and the velocity varies linearly with distance from the wall; No slip condition: u = v = 0. In this we are applying the “wall functions” instead of the mesh points.
The no-slip condition is an empirical assumption that has been useful in modelling many macroscopic experiments. It was one of three alternatives that were the subject of contention in the 19th century, with the other two being the stagnant-layer (a thin layer of stationary fluid on which the rest of the fluid flows) and the partial slip (a finite relative velocity between solid and fluid ...
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The pressure gradient does not enter into the problem. The initial, no-slip condition on the wall is (,) = , (,) =, and the second boundary condition is due to the fact that the motion at = is not felt at infinity. The flow is only due to the motion of the plate, there is no imposed pressure gradient.
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So the shear stress at the wall from the fluid flow is only a minor perturbation on the fluid-wall interaction potential or the thermal energy of the fluid molecules. A number of research groups have been able to mimic a slip boundary condition, by placing a gas gap at the solid liquid interface or by inducing shear thinning (reduced viscosity ...