Fluids formulas

What is the formula for density (ρ)?

Density is defined as mass (m) per unit volume (V): ρ = m/V.

What is the formula for pressure (P) in fluids?

Pressure is defined as force (F) per unit area (A): P = F/A.

What is Bernoulli's Equation?

Bernoulli's Equation relates pressure, velocity, and height in a fluid flow: P + 0.5ρv² + ρgh = constant.

What is the formula for the hydrostatic pressure (P) at a depth (h)?

Hydrostatic pressure is given by P = ρgh, where ρ is fluid density and g is gravitational acceleration.

What is the formula for flow rate (Q)?

Flow rate is defined as volume (V) per unit time (t): Q = V/t.

What is Archimedes' Principle?

Archimedes' Principle states that a body submerged in fluid experiences a buoyant force equal to the weight of the fluid displaced.

What is the formula for viscosity (η)?

Viscosity can be defined through the relationship τ = η(du/dy), where τ is shear stress, du is the velocity change, and dy is the distance change.

What is the formula for laminar flow (Reynolds number)?

Reynolds number (Re) is defined as Re = ρvD/η, where ρ is fluid density, v is flow velocity, D is diameter, and η is viscosity.

What is the principle of continuity for fluids?

The principle of continuity states that A₁v₁ = A₂v₂, where A is cross-sectional area and v is velocity of the fluid.

What is Poiseuille's law?

Poiseuille's Law relates the volumetric flow rate (Q) of a viscous fluid through a cylindrical pipe: Q = (πr⁴ΔP)/(8ηL), where ΔP is pressure difference and L is pipe length.