Physics, asked by manikshivgotra3, 6 months ago

derive an expression for rate of flow (v) of a liquied through a pipe of radius (r ) under a pressure gradient (P/I) Given that V also depends on coefficient of viscosity (η) of the liquied.

Answers

Answered by nathiya16
3

Explanation:

ANSWER

V∝R

a

(

L

P

)

b

η

c

V=[L]

3

[T]

−1

R=[L]

L

P

=[M][T]

−2

[L]

−2

η=[M][T]

−1

[L]

−1

⇒[L]

3

[T]

−1

=[L]

a

[M]

b

[T]

−2b

[L]

−2b

[M]

c

[L]

−c

[T]

−c

a−2b−c=3

b+c=0

−2b−c=−1

a=4,b=1,c=−1

V∝

ηL

PR

4

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