Radial flow between two coaxial cylinders, consider an incompressible fluid, at constant temperature, flowing radially between two porous cylindrical shells with inner and outer radii kR and R. 

(a) Show that the equation of continuity leads to v_r = C/r, where C is a constant. 

(b) Simplify the components of the equation of motion to obtain the following expressions for the modified-pressure distribution: 

(c) Integrate the expression for dP/dr above to get

(d) Write out all the nonzero components of τ for this flow. 

Transcribed Image Text:

Fluid in Radial flow outward between disks Part (b) r dr dz2 Part (c) i dz2 Part (d) (9,-9,が 2 In (ra/r,) Part (e) v,(r, z) = In (rs/r,)