GATE & PSUs - Mechanical Engineering (ME)

Fluid Statics & Buoyancy question bank (Fluid Mechanics & Hydraulics)

Practice 7 free GATE & PSUs - Mechanical Engineering (ME) Fluid Mechanics & Hydraulics - Fluid Statics & Buoyancy questions with answers and step-by-step solutions.

Q1.
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.
[Fluid Statics & Buoyancy Concept 7] 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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