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Fluid Mechanics

Vorticity and Circulation

Which one of ...

Question

Which one of the following gives the lift force $F_{L}$ produced on a rotating circular cylinder per unit length in a uniform flow ?
Where,
u = free stream velocity
$Γ = c i r c u l a t i o n$
$ρ = d e n s i t y o f t h e f l u i d$

F_{L} = \frac{u Γ}{ρ}

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F_{L} = ρ u Γ

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F_{L} = \frac{ρ Γ}{u}

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F_{L} = \frac{ρ u}{Γ}

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Solution

The correct option is B $F_{L} = ρ u Γ$
$F_{L} = ρ u Γ$

This equation is commonly known as Kutta- Joukowsi equation for lift force,

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Which one of the following gives the lift force FL produced on a rotating circular cylinder per unit length in a uniform flow ? Where, u = free stream velocity Γ=circulation ρ=density of the fluid

The correct option is B FL=ρuΓFL=ρuΓ This equation is commonly known as Kutta- Joukowsi equation for lift force,

Which one of the following gives the lift force $F_{L}$ produced on a rotating circular cylinder per unit length in a uniform flow ?
Where,
u = free stream velocity
$Γ = c i r c u l a t i o n$
$ρ = d e n s i t y o f t h e f l u i d$

The correct option is B $F_{L} = ρ u Γ$
$F_{L} = ρ u Γ$

This equation is commonly known as Kutta- Joukowsi equation for lift force,