How to find Velocity V2 with bernoulli Equation?

In summary, the conversation discusses the transportation of water through a 200m long, 125mm diameter pipe to a field with a 12m elevation. The friction factor is 0.008 and the k factors add up to 3.3. The Bernoulli Equation, with the addition of friction, elevation, and k factors, is used to find the pressure, with atmospheric pressure and V1 being 0. The goal is to solve for V2 and obtain the mass flow rate. Clarification is needed on the terms "V1" and "V2" and the meaning of "take". The original question is not provided in full, but the student has found multiple equations and is unsure if they are correct.
  • #1
bakoo
19
0
Water is fed via a 200m long, 125mm diameter pipe to a field. The take is 12m elevation. the friction factor is 0.008 and k factors add up to 3.3.

Pressure is all atmospheric and V1 is 0.



Homework Equations



Bernoulli Equation with the addition of friction, elevation and k factors



The Attempt at a Solution



V^2(2) = 2g+Z(2)+4f l/d + k

I have managed to find around 4 different equations and think they are all wrong. I have excluded parts of the equation as they are equal to zero on boths parts of equation.

What i need to do is solve V(2) and obtain the mass flow rate?

Help is very much appreciated.
 
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  • #2
What are V1 and V2? I'm not familiar with the term "take". Is this a simple gravity feed?

Also, if you have not done this above, please write the original question EXACTLY as it was given to you.
 

FAQ: How to find Velocity V2 with bernoulli Equation?

How do I calculate Velocity V2 using Bernoulli's Equation?

To calculate Velocity V2 using Bernoulli's Equation, you will need to know the fluid density (ρ), the initial velocity (V1), and the initial pressure (P1) of the fluid. You will also need to know the final pressure (P2) of the fluid. Once you have these values, you can plug them into the equation V2 = √(2(P1-P2)/ρ) + V1 to find the final velocity (V2).

Can Bernoulli's Equation be used for all types of fluids?

No, Bernoulli's Equation can only be used for ideal fluids, which are non-viscous, incompressible, and have a steady flow. Real fluids, such as gases, have different properties and cannot be accurately described by Bernoulli's Equation.

How does Bernoulli's Equation relate to the conservation of energy?

Bernoulli's Equation is based on the principle of conservation of energy, which states that energy cannot be created or destroyed, only transferred. In fluid dynamics, this means that the total energy of a fluid remains constant as it flows from one point to another. Bernoulli's Equation takes into account the different forms of energy in a fluid, such as pressure energy and kinetic energy, to determine the final velocity of the fluid.

What are some real-world applications of Bernoulli's Equation?

Bernoulli's Equation is used in a variety of real-world applications, such as airfoil design in aviation, fluid flow in pipes and channels, and even in medical devices such as ventilators. It is also used in meteorology to predict the behavior of weather systems.

Can Bernoulli's Equation be used to calculate the velocity of a non-ideal fluid?

No, Bernoulli's Equation can only be used for ideal fluids. For non-ideal fluids, additional equations and factors must be taken into account to accurately calculate the velocity. These may include factors such as viscosity and compressibility, which can significantly affect the flow of a fluid.

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