The Froude number, used to determine the nature of flow of water in a river, is defined as Fr= gy where the flow depth y at any distance x is determined from the following dimensionally homogeneous equation dy dx where V S 1- Fr² Fr= Froude number x=distance V= flow velocity g=gravitational acceleration y=flow depth (height of the liquid) S=difference between the bottom slope and friction slope of the river Establish the dimensions of S. [L]³[M]-2[t]-1 [L]²[M]-1¹[t]-² O[L]¹[M]¹[t]-² [L]⁰[M]⁰[t]⁰
The Froude number, used to determine the nature of flow of water in a river, is defined as Fr= gy where the flow depth y at any distance x is determined from the following dimensionally homogeneous equation dy dx where V S 1- Fr² Fr= Froude number x=distance V= flow velocity g=gravitational acceleration y=flow depth (height of the liquid) S=difference between the bottom slope and friction slope of the river Establish the dimensions of S. [L]³[M]-2[t]-1 [L]²[M]-1¹[t]-² O[L]¹[M]¹[t]-² [L]⁰[M]⁰[t]⁰
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![The Froude number, used to determine the nature of flow of water in a river, is
defined as
Fr =
gy
where the flow depth y at any distance x is determined from the following
dimensionally homogeneous equation
dy
dx
where
V
1
x=distance
Fr= Froude number
V= flow velocity
g=gravitational acceleration
y=flow depth (height of the liquid)
S
- Fr²
S=difference between the bottom slope and friction slope of the river
Establish the dimensions of S.
[L]³[M]-²[t]-1
[L]²[M]-¹[t]-²
[L]¹[M]¹[t]-²
[L]⁰[M]⁰[t]º](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F008f31aa-ffde-472d-81b9-49fb75f4a0c2%2F68b02540-d53c-47d1-9a30-cd25a00ed652%2Fp48b8f_processed.png&w=3840&q=75)
Transcribed Image Text:The Froude number, used to determine the nature of flow of water in a river, is
defined as
Fr =
gy
where the flow depth y at any distance x is determined from the following
dimensionally homogeneous equation
dy
dx
where
V
1
x=distance
Fr= Froude number
V= flow velocity
g=gravitational acceleration
y=flow depth (height of the liquid)
S
- Fr²
S=difference between the bottom slope and friction slope of the river
Establish the dimensions of S.
[L]³[M]-²[t]-1
[L]²[M]-¹[t]-²
[L]¹[M]¹[t]-²
[L]⁰[M]⁰[t]º
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