Some non-Newtonian fluids behave as a Bingham plastic for which ). For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given is the constant pressure drop along the pipe per unit length, µ is the dynamic viscosity, r is the radial distance from the centerline, and T, is the yield stress of Bingham plastic. Determine (a) the shear stress at the pipe wall and (b) the drag force acting Example-5: du' shear stress can be expressed T=Ty+H dr ΔΡ (r² – R²) +2 (r – R) , where as ur) * ΔΡ 4µl on a pipe section of length L.

Elements Of Electromagnetics
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م جر4
Example-5:
Some non-Newtonian fluids behave as a Bingham plastic for which
du
shear stress can be expressed T= Ty +
For laminar flow of a
dr
Bingham plastic in a horizontal pipe of radius R , the velocity profile is given
as u(r)
AP
(r2 – R²) +2 (r – R),
ΔΡ
where
L
4µL
is the constant pressure drop
along the pipe per unit length, µ is the dynamic viscosity, r is the radial
distance from the centerline, and t, is the vield stress of Bingham plastic.
Determine (a) the shear stress at the pipe wall and (b) the drag force acting
on a pipe section of length L.
Jajeed
Transcribed Image Text:م جر4 Example-5: Some non-Newtonian fluids behave as a Bingham plastic for which du shear stress can be expressed T= Ty + For laminar flow of a dr Bingham plastic in a horizontal pipe of radius R , the velocity profile is given as u(r) AP (r2 – R²) +2 (r – R), ΔΡ where L 4µL is the constant pressure drop along the pipe per unit length, µ is the dynamic viscosity, r is the radial distance from the centerline, and t, is the vield stress of Bingham plastic. Determine (a) the shear stress at the pipe wall and (b) the drag force acting on a pipe section of length L. Jajeed
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