derive the dimensional formula of velocity head
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It has the physical dimension of length (hence the term "head"), and corresponds to an energy per unit weight. If u is the velocity and g the acceleration due to gravity, the velocity head is defined by u2/2g.
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Explanation:
While it is often referred to by just the height (the head), the actual pressure is ρ×g×h, i.e the density times acceleration due to gravity times height.
Where
ρ (rho) = Density of substance
g = acceleration due to gravity
h= height of liquid column to be considered
Assuming kilograms per meter cubed, meters per second squared, and meters, the pressure is in pascals (or newtons per square meter).
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