I have varied the shear rate from 1s-1 to 500 s-1 and wish to study the change in Reynold's number for a juice with 18% solid concentration. How to calculate the velocity term? or can it be replaced with shear rate?
The best place to start is the Book "Flow of Fluids Through Valves, Fittings and Pipe", by CRANE. Mine is called Technical Paper No. 410. This should have all the equations and conversions you may need.
I think rheometer are not design to calculate the inertia forces. moreover, the Reynold number depends on the friction factor; hence, where fluid is flowing also affect the Reynolds number value. So, it is better to pass the fluid fluid through pipe and calculate the velocity.
Nre=(density x velocity x hydraulic dia)/viscosity
Hydraulic diameter = 4 (Across-section)/(Wetted perimeter)= Inside diameter of pipe (D) for flow in a pipe
The friction is a big issue when you use Teflon tubing. Instead of the typical flow pattern, you get what is called "plug flow". This this flow it is a slug of fluid moving along the tube. We did some early testing to determine this for various sizes to tubing, so in this case experimental methods worked best.