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Find the Differential Equation
Flow problems where the Reynolds number is very, very small (Re<<1) are called "creeping flow." These problems are of special interest because, unlike many other fluid mechanics problems, they can often be solved analytically. The underlying reason for this is that the Navier-Stokes equation contains a non-linear term. However, if the Reynolds number is so small that it approaches zero, this non-linear term also approaches zero and effectively disappears from the equation.
(a) The space between two coaxial cylinders is filled with an incompressible fluid at constant temperature. The radii of the inner and outer wetted surfaces are κR and R, respectively. The inner and outer cylinders are rotated with a steady angular velocity of Ωi and Ωo, respectively, where these are sufficiently slow such that creeping flow may be assumed. Find the differential equation and boundary conditions that may be solved to find the velocity distribution in the fluid. (Note: You are not being asked to solve this equation!)
(b) Repeat for the analogous problem of concentric spheres.
Axi s of symmetry If in diagram half part of diagram is mirror image of next ½ part, then there is a symmetry in diagram. The axis at which symmetry is create, called as axis
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In general, it seems easy: polishing scored cylinders and pistons, replacing worn seals, existing excessively worn or damaged parts, etc. Though, for an ordinary person, the proble
Find the Location of the Centroid a) Write the integrals for the determination of the location of the centroid of the area shown in Figure-(a). Only set up the integral.
parallel force s example
Basic S.I. Units and its derived unit: S.I. stands for "System International Units". There are three quantities in the Standard International Systems as concerned to Mechanics
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