§7.1 — Work by a Constant Force

Work is the mechanical transfer of energy. When you push an object and it moves, you do work on it. When a spring pushes back against your hand, the…

Chapter 14 — Q&A

Q: Why is pressure such a central concept in fluid mechanics, and how does it differ fundamentally from forces in solid mechanics?

Chapter 14 — Flashcards

Fluids in motion and at rest — Master pressure, buoyancy, Bernoulli, viscosity, and flow. Test yourself! 💧

§14.7 — Turbulence and Complex Flow

When fluid flow transitions from smooth, predictable laminar motion to chaotic, swirling motion, it becomes turbulent. Turbulence is one of the great…

§14.6 — Viscosity and Stokes’ Law

Real fluids do not flow without resistance. Viscosity is the property that describes how a fluid opposes motion, analogous to friction in solids. It…

§14.4 — Continuity Equation

When a fluid flows through a pipe or channel, the volume flow rate must remain constant along the path if the fluid is incompressible (like water).…

§14.5 — Bernoulli’s Equation

Bernoulli’s equation expresses energy conservation for a flowing fluid. It relates pressure, velocity, and gravitational potential energy at…

§14.2 — Hydrostatic Pressure

When a fluid is at rest (or moving at constant velocity, where acceleration is zero), forces balance and the fluid is in static equilibrium. In this…

§14.1 — Fluids and Pressure

A fluid is any substance that flows and conforms to the shape of its container—liquids and gases both qualify. Unlike solids, fluids cannot support…