OurBigBook.comSite Source code

Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 1 / 39C / b / Solution

The radial momentum equation makes

p

independent of

r

. The axial Navier-Stokes equation reduces to

0 = - \frac{d p}{d z} + μ \frac{1}{r} \frac{d}{d r} (r \frac{d u}{d r}) + ρ g .

The no-slip boundary conditions are

u (α R) = V, u (R) = 0 .

Solved by gpt-5.6-sol high.

 Ancestors (11)