Fundamentals of Fluid Mechanics

Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein

ISBN #9781119080701

8th Edition

1,309 Questions

83,075 Students Helped

Homework Questions

Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This chapter introduces key fluid properties and concepts, including the characteristics of fluids, the importance of maintaining dimensional homogeneity, and the calculation of essential measures such as density, specific weight, and specific gravity. It also covers advanced topics such as the Ideal Gas Law, viscosity, bulk modulus, compressibility, vapor pressure, and surface tension, all of which are vital for understanding and analyzing fluid behavior in both natural and engineered systems.

Learning Objectives

Key Concepts

CONCEPT

DEFINITION

No concepts available

No definitions available for this book.

Example Problems

Example 1

The force, $F$, of the wind blowing against a building is given by $F=C_{D} \rho V^{2} A / 2,$ where $V$ is the wind speed, $\rho$ the density of the air, $A$ the cross-sectional area cf the building, and $C_{D}$ is a constant termed the drag coefficient. Determine the dimensions of the drag coefficient.

Example 2

The Mach number is a dimensionless ratio of the velocity of an object in a fluid to the speed of sound in the fluid. For an airplane flying at velocity $V$ in air at absolute temperature $T,$ the Mach number Ma is \[ \mathrm{Ma}=\frac{V}{\sqrt{k R T}} \] where $k$ is a dimensionless constant and $R$ is the specific gas constant for air. Show that Ma is dimeasionless.

Example 3

Verify the dimensions, in both the $F L T$ and $M L T$ systems, of the following quantities which appear in Table $1.1:(\mathrm{a})$ volume, $(\mathrm{b})$ acceleration, (c) mass. (d) moment of inertia (area), and (e) Work.

Example 4

1.4 Verify the dimensions, in both the FLT and MLT systems, of the following quantities which appear in Table 1.1 (a) angular velocity, (b) energy, (c) moment of inertia (area), (d) power, and (e) pressure.

Example 5

1.5 Verify the dimensions, in both the FLT system and the MLT system, of the following quantities which appear in Table 1.1 (a) frequency, (b) stress, (c) strain. (d) torque, and (e) work.