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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. Velocity distribution in a boundary layer flow over a plate is given by (u/um) = 1.5η where, η = y / δ ; y is the distance measured normal to the plate; δ is the is the boundary layer thickness; and um is the maximum velocity at y = δ. If the shear stress t, acting on the plate is given by
    τ = K( μum )/ δ
    where, μ is the dynamic viscosity of the fluid, K takes the value of
    1. 0
    2. 1
    3. 1.5
    4. none of the above
Correct Option: C

u
= 1.5 η = 1.5 ×
y
umδ

∴ u = 1.5 ×
y
× um
δ

du
=
1.5 × um
dyδ

τ = μ
(1.5 × μm)
δ

= 1.5
(μ × μm)
δ

τ = k
(μ.μm)
δ

∴ k = 1.5



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