Bernoulli's Equation: Solving Complex Problems Easily

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SUMMARY

The discussion centers on Bernoulli's Equation, specifically the formula: $$\frac 12 \rho v_1^2 + \rho g z_1 + p_1 = \frac 12 \rho v_2^2 + \rho g z_2 + p_2$$. Participants clarify the application of the equation, particularly at stagnation points where $v_2=0$. The conversation emphasizes the importance of understanding pressure contributions from water columns and standard atmospheric pressure ($p_0$) in solving fluid dynamics problems.

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Students, engineers, and professionals in fluid mechanics or related fields who seek to deepen their understanding of Bernoulli's Equation and its practical applications in solving complex fluid dynamics problems.

jc911
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Hi All,

Could anyone advise on how to answer below question (attached). I am struggling big time on this.

Thanks in advance.
 

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jc91 said:
Hi All,

Could anyone advise on how to answer below question (attached). I am struggling big time on this.

Thanks in advance.

Hi jc91, welcome to MHB! ;)

Let's start with Bernoulli's equation:
$$\frac 12 \rho v_1^2 + \rho g z_1 + p_1 = \frac 12 \rho v_2^2 + \rho g z_2 + p_2$$
Or do you perhaps have a different version of it?

Since (2) is a stagnation point, we have $v_2=0$.
The pressure is identified by the column of water above it: it's the weight per surface area.
And additionally we have the standard pressure of air ($p_0$).
So for instance $p_1 = p_0 + \rho g (h_1 + h_2)$.

How far do you get filling in the other variables and solving for $v_1$?
 
Question for jc91: what is underneath the blue scribble?
 

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