Can someone help me understand Bernoulli's Equation?

Thread starter 06mangro
Start date Sep 7, 2012
Tags

Bernoulli's Bernoulli's equation

In summary, Bernoulli's Equation is a fundamental equation in fluid dynamics that describes the relationship between pressure, velocity, and height of a fluid. It is important because it helps us understand the behavior of fluids in motion and has numerous practical applications. It is derived from the conservation of energy principle and makes assumptions such as non-viscous and steady flow. These assumptions simplify the equation, making it easier to apply in real-world situations. Bernoulli's Equation is applied in various fields, including aerodynamics, hydraulics, and meteorology, to predict fluid behavior and design efficient systems. It is also used in medical applications and plays a crucial role in optimizing systems and improving efficiency.

Sep 7, 2012

06mangro

C=v^2/2+gz+ P/p

This is it... there is pressure P... and then kinteic energy per unit volume and potential energy per unit volume... adding all of these gives = conservation of energy...

Why is this?
(Might need to explain the conservation of energy)
Preferably a more wordy reply :) thanks

Physics news on Phys.org

Sep 7, 2012

voko

Wikipedia has an excellent article on it.

Related to Can someone help me understand Bernoulli's Equation?

1. What is Bernoulli's Equation?

Bernoulli's Equation is a fundamental equation in fluid dynamics that describes the relationship between the pressure, velocity, and height of a fluid. It states that in a steady flow, the total energy of the fluid remains constant.

2. Why is Bernoulli's Equation important?

Bernoulli's Equation is important because it helps us understand the behavior of fluids in motion, which has numerous practical applications. It is used in fields such as aerodynamics, hydraulics, and meteorology to predict the behavior of fluids and design efficient systems.

3. How is Bernoulli's Equation derived?

Bernoulli's Equation is derived from the conservation of energy principle, which states that energy cannot be created or destroyed, only transferred. Using this principle and some simplifying assumptions, we can derive Bernoulli's Equation to describe the behavior of a fluid in motion.

4. What are the assumptions made in Bernoulli's Equation?

The assumptions made in Bernoulli's Equation include: the fluid is non-viscous (no internal friction), the flow is steady (no changes over time), the fluid is incompressible (constant density), and the flow is irrotational (no net rotation). These assumptions simplify the equation and make it easier to apply in real-world situations.

5. How is Bernoulli's Equation applied in real-world situations?

Bernoulli's Equation can be applied in various real-world situations, such as calculating the lift force on an airplane wing, designing efficient pipelines and pumps, and predicting the weather. It is also used in medical applications, such as understanding blood flow in veins and arteries. Engineers and scientists use Bernoulli's Equation to optimize systems and improve their efficiency.