GATE & PSUs - Mechanical Engineering (ME)

Laminar & Turbulent Viscous Pipe Flow question bank (Fluid Mechanics & Hydraulics)

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Q1.

[Laminar & Turbulent Viscous Pipe Flow Concept 4] For fully developed laminar flow of an incompressible Newtonian fluid through a horizontal circular pipe of radius $R$, how does the maximum centerline fluid velocity $u_{\max}$ relate to the average cross-sectional velocity $V_{\text{avg}}$?

(A)

$u_{\max} = 2.0 \, V_{\text{avg}}$

(B)

$u_{\max} = 1.5 \, V_{\text{avg}}$

(C)

$u_{\max} = 1.25 \, V_{\text{avg}}$

(D)

$u_{\max} = V_{\text{avg}}$

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Q2.

[Laminar & Turbulent Viscous Pipe Flow Concept 10] For fully developed laminar flow of an incompressible Newtonian fluid through a horizontal circular pipe of radius $R$, how does the maximum centerline fluid velocity $u_{\max}$ relate to the average cross-sectional velocity $V_{\text{avg}}$?

(A)

$u_{\max} = 2.0 \, V_{\text{avg}}$

(B)

$u_{\max} = 1.5 \, V_{\text{avg}}$

(C)

$u_{\max} = 1.25 \, V_{\text{avg}}$

(D)

$u_{\max} = V_{\text{avg}}$

Show answer & solution

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