Honey initially at rest in a tube starts flowing down at = 0 s due to gravity, eventually reaching steady state. The equation governing the transient velocity profile of the honey is equation of motion honey.
The no-slip condition requires that the velocity of the honey is zero at the radius of the tube, . The goal is to write a script that will calculate the velocity profile as a function of and .
So far I found the following: IC = v(0) = 0; BC1 = v(R, inf) = 0 (no slip condition);
However, could anyone confirm if this second boundary condition is right? BC2 = dv/dt(R, inf) = 0; (maximum velocity inside the pipe)
Thank you in advance.
