CH ENGR 101A Study Guide - Quiz Guide: Newtonian Fluid, The Fluid, Viscosity
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The viscous oil is set into steady motion by a concentric inner cylinder moving axially at velocity. Assuming constant pressure and density and a purely axial fluid motion, solve the differential momentum equation for a newtonian fluid shown below for the fluid velocity distribution vz(r). A tank of area a0 is draining in laminar flow through a pipe of diameter d and length l. Neglecting the exit jet kinetic energy and assuming the pipe flow is driven by the hydrostatic pressure at its entrance, derive a formula for the tank level h(t) if its initial level is h0. Under laminar conditions, the volume flow q through a small triangular-section pore of side length b and length l is a function of viscosity , pressure drop per unit length p/l, and b. Using the pi theorem, rewrite this relation in dimensionless form.
