Chapter 14 Fluids and Elasticity

A photograph of a waterfall.

A defining characteristic of any fluid is that—like this waterfall—it flows.

In This Chapter, you will learn about systems that flow or deform.

What is a fluid?

A fluid is a substance that flows. Both gases and liquids are fluids.

  • A gas is compressible. The molecules move freely with few interactions.

    The figure labeled Gas illustrates seven gas particles depicted as moving spheres distributed sparsely in a square box.
  • A liquid is incompressible. The molecules are weakly bound to one another.

    The figure labeled Liquid illustrates a few liquid particles depicted as spheres concentrated in the bottom half of the square box and in close contact with each other.

What is pressure?

Fluids exert forces on the walls of their containers. Pressure is the force-to-area ratio F/A.

The figure illustrates a glass filled with water that consists of three holes placed one above the other.
  • Pressure in liquids, called hydrostatic pressure, is due to gravity. Pressure increases with depth.

  • Pressure in gases is primarily thermal.

    Pressure is constant in a container.

What is buoyancy?

Buoyancy is the upward force a fluid exerts on an object.

The figure illustrates a rectangular box floating halfway in a beaker filed with water.
  • Archimedes’ principle says that the buoyant force equals the weight of the displaced fluid.

  • An object floats if the buoyant force is sufficient to balance the object’s weight.

《 LOOKING BACK Sections 6.1 Equilibrium

How does a fluid flow?

The figure illustrates a twisted tube with varying radii at the opening surfaces.

An ideal fluid—an incompressible, nonviscous fluid flowing smoothly—flows along streamlines. Bernoulli’s equation, a statement of energy conservation, relates the pressures, speeds, and heights at two points on a streamline. Flow of a viscous fluid requires a pressure gradient and is described by Poiseuille’s equation.

What is elasticity?

Elasticity describes how objects deform under stress. An object’s

The figure illustrates few forces acting on a square box.
  • Young’s modulus characterizes how it stretches when pulled.

  • Bulk modulus tells us how much it is compressed by pressure.

《 LOOKING BACK Sections 9.4 Restoring forces

Why are fluids important?

Gases and liquids are two of the three common states of matter. Scientists study atmospheres and oceans, while engineers use the controlled flow of fluids in a vast number of applications. This chapter will let you see how Newton’s laws can be applied to systems that can flow or deform.

Learning Objectives

After studying this chapter, you should be able to

  1. 14.1 Interpret the mass density of an object.

  2. 14.2 Calculate and interpret the hydrostatic pressure in a liquid.

  3. 14.3 Work with gauge pressure and different units of pressure.

  4. 14.4 Solve buoyancy problems using Archimedes’ principle.

  5. 14.5 Relate the fluid speed at two different points in a flow.

  6. 14.6 Solve problems about the motion of an ideal fluid.

  7. 14.7 Solve problems about the motion of a viscous fluid.