Metallurgical Engineering > GATE 2021 > Fluid Flow
For a fully developed 1-D flow of a Newtonian fluid through a horizontal pipe of radius R (see figure), the axial velocity (vz) is given by:
vz = [ΔP/L](R2 - r2)/4µ
where, ΔP is the pressure difference (P1 - P2), µ is the viscosity, 'r' is the radial distance from the axis and L is the length of the tube. The shear stress exerted by the fluid on the tube wall is:
A
ΔPR / 2L
B
ΔPR / L
C
3ΔPR / 2L
D
2ΔPR / L

Correct : a

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fluid mechanics GATE 2021 shear stress pipe flow fully developed flow Newtonian fluid horizontal pipe flow GATE Metallurgical Engineering 2021 fluid mechanics engineering pipe flow shear stress GATE metallurgy fluid mechanics equations

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