Application & Derivation of Bernoulli’s Theorem

What is Bernoulli Equation?

Bernoulli’s Equation is a fundamental principle used in fluid dynamics that shows relation between Pressure & Velocity as well as the height of the fluid within a closed boundary.

Mathematically,

where,
P is the pressure
ρ is the density
v is the velocity
g is the acceleration due to gravity
h is the height

This equation is widely used in industries such as aerodynamics, hydraulics, to study different fluids etc.

Bernoulli Equation Derivation

Limitation of Bernoulli’s Equation

1. The liquid particles’ velocity decreases from the center to the pipe wall due to friction, making only the mean velocity relevant as the particles’ velocities are non-uniform.
2. All external forces impacting the liquid flow must be disregarded.
3. Neglect energy losses from turbulent flow converting kinetic energy to heat and from viscous flow due to shear forces.
4. Consider energy from centrifugal forces when the liquid flows through a curved path.

FAQ

Explain Bernoulli’s Equation.

Bernoulli’s Equation is a fundamental principle used in fluid dynamics that shows relation between Pressure & Velocity as well as the height of the fluid within a closed boundary.

Which Two Devices Are Used In Bernoulli’s System?

The two main devices used are as follows:

• Manometer
• Venturimeter

Give 3 Applications Of A Bernoulli’s Equation.

The Following Are The 3 Real World Application Of A Bernoulli’s Equation:

• Airplanes
• Hydraulic Press
• Helicopter

Conclusion

In conclusion, Bernoulli’s Equation is fundamental principle of fluid dynamics. This equation is applicable to wide range of applications. Understanding this equation can help in many fields such as engineering, physics, medical etc. It is an extremely helpful tool to analyze and predict fluid behavior along with enormous practical applications.