Question

Write the Mathematical form of bernoulli's theorem

Answer 1

Hey there!

Thank you for your Question!

Bernoulli's theorem:

The Bernoulli's theorem states that for an ideal fluid, under steady state condition, the sum of kinetic energy per unit volume, potential energy per unit volume (or sum of mechanical energy per unit volume) and pressure per unit volume is constant.

Equation of Bernoulli's theorem:

$\huge{{{\boxed{\boxed{\bold{\frac{\rho v^2}{2}+\rho gh + P = Constant}}}}$

$\\\textbf{where,}\\\bold{\rho} =\textbf{Density of fluid}\\P = \textbf{Pressure}\\v = \textbf{Velocity of fluid in section.}\\g =\textbf{Acceleration due to gravity}\\h = \textbf{Height in the direction of gravity}$

Hope It Helps You!

Answer 2

Bernoulli's theorem, named after the Swiss mathematician Daniel Bernoulli, is a fundamental principle in fluid dynamics. The mathematical form of the theorem is expressed as:

p + (1/2)ρv^2 + ρgh = constant

• where p is the pressure of the fluid, ρ is its density, v is the velocity of the fluid, g is the acceleration due to gravity, h is the height of the fluid above a reference point, and the sum of the three terms is the total energy per unit mass of the fluid.
• In simpler terms, Bernoulli's theorem tells us that as the velocity of a fluid increases, the pressure decreases and vice versa.
• This phenomenon is known as the Bernoulli effect and has important applications in fields such as aviation, hydrodynamics, and engineering.
• Understanding the principles of Bernoulli's theorem is crucial in designing efficient and effective fluid-based systems.

To learn more about pressure from the given link.

https://brainly.in/question/13239142

#SPJ3