For Bernoulli’s equation to remain valid, which of the following...
The law states that P X V = n X (R) X T, where P is pressure, V is volume, n is the number of moles of molecules, T is the absolute temperature, and R is the gas constant (8.314 joules per degree Kelvin or 1.985 calories per degree Celsius).
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For Bernoulli’s equation to remain valid, which of the following...
The Bernoulli principle, named after Swiss mathematician Daniel Bernoulli, is a fundamental concept in fluid dynamics. It relates the pressure of a fluid to its velocity and elevation.
According to the Bernoulli principle, as the velocity of a fluid increases, its pressure decreases, and vice versa. This principle can be explained by considering the conservation of energy in a fluid system.
Bernoulli's equation, which mathematically represents the principle, is as follows:
P + 1/2ρv^2 + ρgh = constant
Where:
- P is the pressure of the fluid
- ρ is the density of the fluid
- v is the velocity of the fluid
- g is the acceleration due to gravity
- h is the elevation of the fluid
This equation demonstrates that when the velocity of a fluid increases, the pressure decreases, and when the velocity decreases, the pressure increases. This principle is often used to explain phenomena such as lift in aerodynamics, flow in pipes, and the behavior of fluids in various systems.
Overall, the Bernoulli principle is a fundamental concept in fluid dynamics that relates the pressure, velocity, and elevation of a fluid. It has numerous applications in various fields and is crucial for understanding the behavior of fluids in different situations.