(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A wide vessel and a tube is connected as shown in the figure(see attachment). Water is filled inside vessel and tube. When tube is opened the water flows out as shown in the figure. The pressure at point P,at mid-point of the tube is (cross-section of the tube is very very small)

2. Relevant equations

Bernoulli Equation

Equation of Continuity

3. The attempt at a solution

Applying Bernoulli's Equation at the top of vessel and at point P and assuming datum level to be the base of the vessel

[itex]P_o + \rho gH+\frac{1}{2} \rho v_1 ^2 = P_p + \frac{1}{2}\rho v_2 ^2 + \rho g (-H)[/itex]

Assuming area of cross section of vessel and tube be A and a and applying eqn of continuity

[itex]Av_1 = av_2[/itex]

Substituting value of v1 in prev eqn

[itex]P_o + \rho gH+\frac{1}{2} \rho \dfrac{a^2 v_2 ^2}{A^2} = P_p + \frac{1}{2}\rho v_2 ^2 + \rho g (-H)[/itex]

Now there comes another unknown variable v2 the value of which is unknown to me :(

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# Homework Help: The pressure at point P

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