Chemical Engineering > GATE 2020 > Non-Newtonian Fluids
A student performs a flow experiment with Bingham Plastic under fully developed laminar flow conditions in a tube of radius 0.01 m with a pressure drop (ΔP) of 10 kPa over tube length (L) of 1.0 m. The velocity profile is flat for rc and parabolic for r≥rc, as shown in the figure.
Consider r and x as the radial and axial directions, and the shear stress is finite as r approaches zero. A force balance results in the following equation
where τrx is the shear stress. If rc is 0.001 m, then the magnitude of yield stress for this Bingham Plastic (in Pa) is
Correct : b
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