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A large cylindrical reservoir that is open to the atmosphere is completely filled with liquid to a height H. At some time, a small section

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A large cylindrical reservoir that is open to the atmosphere is completely filled with liquid to a height H. At some time, a small section of pipe at the bottom of the tank is unplugged which causes the liquid to drain out of the tank. The tank diameter is very large relative to the nozzle diameter (DN). In tutorial, I gave you the simple formula for the exit velocity of the fluid at the bottom of a tank V=2gH. In class, we showed that this equation comes from the Bernoulli equation when it is assumed that both friction and minor losses are negligible for the small section of pipe at the bottom of the tank. Assuming that the flow through the small pipe is laminar, derive a new equation for the exit velocity that accounts for friction losses in the small pipe; you can still ignore minor losses. The equation should include the liquid height (H), liquid properties, and nozzle dimensions (DN,LN)

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