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- Bernoulli’s Theorem is a fundamental principle in fluid dynamics, stating that the total mechanical energy of an incompressible and non-viscous fluid remains constant along a streamline.
- The mathematical expression for Bernoulli’s equation is: P + ½ρv² + ρgh = constant, where:
- P is the pressure energy per unit volume.
- ½ρv² is the kinetic energy per unit volume.
- ρgh is the potential energy per unit volume.
- Bernoulli’s equation
- Pressure in a fluid is defined as the force exerted per unit area by the fluid on the walls of its container or any object in the fluid.
- The formula for pressure is: P = F/A, where P is pressure, F is force, and A is area.
- The SI unit of pressure is the Pascal (Pa), where 1 Pa = 1 N/m².
- In a static fluid, pressure increases with depth due to the weight of the overlying fluid, given by P = ρgh, w
- Fluids are substances that can flow and take the shape of their container, including liquids and gases.
- Density (ρ) is the mass per unit volume of a fluid, given by the formula ρ = m/V, where m is mass and V is volume.
- The SI unit of density is kg/m³.
- Pressure (P) is defined as the force exerted per unit area, expressed as P = F/A, where F is force and A is area.
- The SI