fluids

What I do

• Analyze fluid statics and pressure distributions
• Calculate fluid forces on submerged surfaces
• Model capillary action and surface tension
• Study viscosity and non-Newtonian fluids
• Apply Bernoulli's principle to fluid systems
• Calculate pump and pipe flow requirements

When to use me

When analyzing hydraulic systems, designing piping, or studying fluid behavior at rest.

Key Concepts

• Hydrostatic Pressure: P = ρgh increases with depth
• Archimedes' Principle: Buoyant force = weight of displaced fluid
• Surface Tension: γ = energy/area, causes capillary rise h = 2γcosθ/(ρgr)
• Pascal's Law: Pressure applied to enclosed fluid transmits equally
• Viscosity: τ = μ(du/dy) for Newtonian fluids
• Reynolds Number: Re = ρvD/μ predicts flow regime