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swmmr1928
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This is not a problem statement this is not homework this is not a textbook exercise. This is my own question about a formula in a textbook. I was given an infraction because I did not post this here.
Source: Fluid Mechanics 2nd ed. - P. Kundu, I. Cohen.pdf
I am trying to understand the force balance, specifically the force due to gravity. Why is the (1/2) present?
(1/2) * ρ * g * dx * dz
I tried my own force balance and I agree with the book except for the gravity term:
ƩF in vertical = 0 = +p2dx - Fgravity - p1ds*cos(θ)
Fgravity = m*a = m*g = ρ*V*g
m=V*ρ
ƩF in vertical = 0 = +p2dx - ρ*V*g - p1ds*cos(θ)
Homework Statement
Source: Fluid Mechanics 2nd ed. - P. Kundu, I. Cohen.pdf
I am trying to understand the force balance, specifically the force due to gravity. Why is the (1/2) present?
Homework Equations
(1/2) * ρ * g * dx * dz
The Attempt at a Solution
I tried my own force balance and I agree with the book except for the gravity term:
ƩF in vertical = 0 = +p2dx - Fgravity - p1ds*cos(θ)
Fgravity = m*a = m*g = ρ*V*g
m=V*ρ
ƩF in vertical = 0 = +p2dx - ρ*V*g - p1ds*cos(θ)