Radial Viscous Flow between Two Parallel Annular Plates
نویسندگان
چکیده
Deduce the velocity distribution of steady flow of an incompressible fluid of density ρ and viscosity η between two parallel, coaxial annular plates of inner radii r1, outer radii r2 and separation h when pressure difference ∆P is applied between the inner and outer radii. As an exact solution of the Navier-Stokes equation appears to be difficult, it suffices to give an approximate solution assuming that the velocity is purely radial, v = v(r, z)r̂, in a cylindrical coordinate system (r, φ, z) whose z axis coincides with that of the two annuli. Deduce a condition for validity of the approximation. This problem arises, for example, in considerations of a rotary joint between two sections of a pipe. Here, we ignore the extra complication of the effect of the rotation of one of the annuli on the fluid flow.
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