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Showing 11 of 11 formulas Page 1 of 1

Bernoulli's Principle

Physics β†’ Fluid Mechanics β†’ Fluid Dynamics β†’ Conservation of Energy in Fluids
$$P + \frac{1}{2}\rho v^2 + \rho gh = \text{constant}$$
States that for an inviscid flow of a non-conducting fluid, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy.
πŸ“– Physics πŸ“š Fluid Dynamics

Poiseuille's Law

Physics β†’ Fluid Mechanics β†’ Viscosity β†’ Flow
$$Q = \frac{\pi r^4 \Delta P}{8 \eta L}$$
Flow rate in a pipe
πŸ“– Physics πŸ“š Viscosity

Bernoulli Equation

Physics β†’ Fluid Mechanics β†’ Energy β†’ Flow
$$P + \frac{1}{2}\rho v^2 + \rho gh = constant$$
Energy conservation in fluid
πŸ“– Physics πŸ“š Energy

Surface Tension Formula

Physics β†’ Fluid Mechanics β†’ Properties of Liquids β†’ Surface Tension
$$\gamma = \frac{F}{L}$$
The force per unit length exerted parallel to the surface of a liquid.
πŸ“– Physics πŸ“š Properties of Liquids

Pressure at Depth in Fluid

Physics β†’ Fluid Mechanics β†’ Hydrostatics β†’ Pressure
$$P = P_0 + \rho gh$$
Calculates the total pressure at a certain depth in a liquid.
πŸ“– Physics πŸ“š Hydrostatics

Stokes' Law (Viscous Drag)

Physics β†’ Fluid Mechanics β†’ Viscosity β†’ Drag Force
$$F_d = 6\pi\eta r v$$
Viscous drag force on a small sphere moving through a fluid.
πŸ“– Physics πŸ“š Viscosity

Bernoulli's Equation

Physics β†’ Fluid Mechanics β†’ Fluid Dynamics β†’ Bernoulli's Principle
$$P + \frac{1}{2}\rho v^2 + \rho gh = \text{constant}$$
Conservation of energy for steady, incompressible, inviscid flow.
πŸ“– Physics πŸ“š Fluid Dynamics

Continuity Equation (Fluid)

Physics β†’ Fluid Mechanics β†’ Fluid Dynamics β†’ Continuity
$$A_1 v_1 = A_2 v_2$$
Mass conservation for incompressible flow: product of cross-sectional area and speed is constant.
πŸ“– Physics πŸ“š Fluid Dynamics

Buoyant Force

Physics β†’ Fluid Mechanics β†’ Statics β†’ Archimedes' Principle
$$F_b = \rho V g$$
Upward force exerted by a fluid on an immersed object.
πŸ“– Physics πŸ“š Statics

Stokes' Law

Physics β†’ Fluid Mechanics β†’ Viscosity β†’ Drag Force
$$F_d = 6\pi \eta r v$$
Force of viscosity on a small sphere moving through a viscous fluid.
πŸ“– Physics πŸ“š Viscosity

Work Done by Surface Tension (Bubble)

Physics β†’ Fluid Mechanics β†’ Properties Of Matter β†’ Surface Energy
$$W = 8\pi r S \Delta r$$
Work required to increase the radius of a spherical soap bubble.
πŸ“– Physics πŸ“š Properties Of Matter
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