Water of varying density flows in an estuary, 5 meters deep. The density varies linearly from...

Water of varying density flows in an estuary, 5 meters deep. The density varies linearly from 1025 kg/m3 at the bottom to 1000 kg/m3 at the water surface. The velocity distribution is given by the equation, V = 8 - ((1/2)(z-4)^2) m/s, where z is elevation above the bottom.

a)Sketch (or plot using software such as Excel or Matlab) the density (ρ) profile, the velocity (V) profile, and the momentum (ρ V) profile

b)Find the two values of z for which velocity equals 7.5 m/s. Does the water have the same momentum at these points? Why or why not

C)Calculate the total momentum, ∫ ρ V d ∀ , for a volume of water 5 m deep, 1 m wide, and 1 m long.

Solutions

Expert Solution

part A

Density profile.

Here all values are in tabulated form,

Ally Wells answered 1 year ago

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