Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein
ISBN #9781119080701
8th Edition
1,309 Questions
Homework Questions
Fundamentals of Fluid Mechanics is a comprehensive guide that introduces and builds upon the core principles governing the behavior of fluids in both natural and engineered environments. The book begins by detailing essential fluid properties and progresses through foundational topics like fluid statics, where pressure variation and buoyancy are explored, then advances to dynamic analysis with discussions on the Bernoulli Equation, differential analysis, and control volume methods. It further delves into specialized areas including viscous flow in pipes, flow behavior over immersed bodies, open-channel characteristics, compressible flows, and the operation of turbomachines. Overall, the text combines theoretical derivations with practical applications, providing engineers and students with the analytical tools and insights necessary for tackling a wide range of fluid dynamics challenges.
Chapter 1
Introduction
Chapter 2
Fluid Statics
Chapter 3
Elementary Fluid Dynamics—The Bernoulli Equation
Chapter 4
Fluid Kinematics
Chapter 5
Finite Control Volume Analysis
Chapter 6
Differential Analysis of Fluid Flow
Chapter 7
Dimensional Analysis, Similitude, and Modeling
Chapter 8
Viscous Flow in Pipes
Chapter 9
Flow Over Immersed Bodies
Chapter 10
Open-Channel Flow
Chapter 11
Compressible Flow
Chapter 12
Turbomachines
Problem 1
A 3 -m-diameter vertical cylindrical tank is filled with water to a depth of $11 \mathrm{m} .$ The rest of the tank is filled with air at atmospheric pressure. What is the absolute pressure at the bottom of the tank?
Zia Ullah Numerade Educator
Problem 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.
Penny Riley Numerade Educator
Problem 3
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.
Mahnoor Amin Numerade Educator
Problem 4
A closed tank is partially filled with glycerin. If the air pressure in the tank is 6 lb/in $^{2}$ and the depth of glycerin is $10 \mathrm{ft}$, what is the pressure in $1 \mathrm{b} / \mathrm{ft}^{2}$ at the bottom of the $\tan \mathrm{k} ?$
Surendra Kumar Numerade Educator
Problem 5
The surface velocity of a river is measured at several locations $x$ and can be reasonably represented by \[ V=V_{0}+\Delta V\left(1-e^{-a x}\right) \] where $V_{0}, \Delta V,$ and $a$ are constants. Find the Lagrangian description of the velocity of a fluid particle flowing along the surface if $x=$ 0 at time $t=0$
Manish Jain Numerade Educator
Problem 6
Blood pressure is usually given as a ratio of the maximum pressure (systolic pressure) to the minimum pressure (diastolic pressure). As shown in Video $\mathrm{V} 2.3,$ such pressures are commonly measured with a mercury manometer, A typical value for this ratio for a human would be $120 / 70,$ where the pressures are in $\mathrm{mm} \mathrm{Hg}$ (a) What would these pressures be in pascals? (b) If your car tire was inflated to $120 \mathrm{mm}$ Hg, would it be sufficient for normal driving?
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