Non-Newtonian flow in an annulus, rework Problem 2B.7 for the annular flow of a power law fluid with the flow being driven by the axial motion of the inner cylinder.

(a) Show that the velocity distribution for the fluid is ?

(b) Verify that the result in (a) simplifies to the Newtonian result when n goes to unity.

(c) Show that the mass flow rate in the annular region is given by

(d) What is the mass flow rate for fluids with n = 1/3.

(e) Simplify Eq. 8B.3-2 for the Newtonian fluid.

Transcribed Image Text:

W== V₂ Vo (r/R)¹-(1/n)-1 1-(1/m) - 1 2TR²VP (1-K³-(1/n) 1-(1/n)-13- (1/n) 1-k² 2 (for n #3)