What is a good approximation for very very slow flow, a few mm per hour, in a transient stage? Low velocity in a fluid with density similar to that of water. Does any body know about publications on the subject?

laminar flow

u can find many material regarding this in all well known books on fluid dynamics

Is there any solution available for flow through a channel with divergent walls with one wall getting sheared? I'm interested to know the velocity profile for such a flow.

Hi dear friend. I think that there is a velocity profile in 'viscous fluid flow' textbook written by Mr.white. You can send me your exact request ans then i can help you more. bye