Fluid Mechanics

  1. 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.
  2. 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.
  3. Bernoulli’s equation
  1. 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.
  2. The formula for pressure is: P = F/A, where P is pressure, F is force, and A is area.
  3. The SI unit of pressure is the Pascal (Pa), where 1 Pa = 1 N/m².
  4. In a static fluid, pressure increases with depth due to the weight of the overlying fluid, given by P = ρgh, w
  1. Fluids are substances that can flow and take the shape of their container, including liquids and gases.
  2. 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.
  3. The SI unit of density is kg/m³.
  4. Pressure (P) is defined as the force exerted per unit area, expressed as P = F/A, where F is force and A is area.
  5. The SI