Poiseuille’s equation for fluid flow through a horizontal tube is expressed as Q=π(ΔP)R÷8nL
where Q is the flow rate (volume per unit time),n is the coefficient of viscosity, R is the
radius, L is the length and ΔP is the change in pressure (force per unit area). Use dimensional analysis to determine the dimensions of the coefficient of viscosity
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Answered by
1
Answer:
It is given that
V=
8ηL
πPr
4
η=
8VL
πPr
4
Where V is volume rate [L
3
T
−1
]
P is pressure [ML
−1
T
−2
]
η is viscosity
L is length [L]
So the dimensional formula of viscosity is
[L
3
T
−1
][L]
[ML
−1
T
−2
][L
4
]
[ML
−1
T
−1
]
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Answered by
1
Explanation:
It is given that
V=
8ηL
πPr
4
η=
8VL
πPr
4
Where V is volume rate [L
3
T
−1
]
P is pressure [ML
−1
T
−2
]
η is viscosity
L is length [L]
So the dimensional formula of viscosity is
[L
3
T
−1
][L]
[ML
−1
T
−2
][L
4
]
[ML
−1
T
−1
]
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