David A Chin
ISBN #9781292161044
1st Edition
1,197 Questions
Homework Questions
Fluid Mechanics for Engineers in SI Units is a comprehensive guide that introduces readers to the essential properties of fluids and their application in real-world engineering systems. The book systematically builds on foundational concepts—such as density, viscosity, and compressibility—before exploring fluid statics, kinematics, and the derivation of key equations like Bernoulli's. It further delves into practical tools like finite control volume analysis, differential analysis, and dimensional analysis, demonstrating how conservation laws and similarity principles underpin effective system design. With discussions on flow in conduits and open channels, turbomachinery, drag and lift forces, boundary-layer theory, and compressible flow, the text equips engineers with both the theoretical background and practical methodologies needed to tackle complex fluid dynamics challenges.
Chapter 1
Properties of Fluids
Chapter 2
Fluid Statics
Chapter 3
Kinematics and Streamline Dynamics
Chapter 4
Finite Control Volume Analysis
Chapter 5
Differential Analysis
Chapter 6
Dimensional Analysis and Similitude
Chapter 7
Flow in Closed Conduits
Chapter 8
Turbomachines
Chapter 9
Flow in Open Channels
Chapter 10
Drag and Lift
Chapter 11
Boundary-Layer Flow
Chapter 12
Compressible Flow
Problem 1
A steady, incompressible, two-dimensional velocity field is given by the following components in the $x y$ plane: $$ v_{x}=2+1.5 x+0.75 y, \quad v_{y}=1+3 x+1 y $$ What is the acceleration of the fluid at $(x, y)=(2,4) ?$
Penny Riley Numerade Educator
Problem 2
Water at $15^{\circ} \mathrm{C}$ is pumped at a rate of $20 \mathrm{~L} / \mathrm{s}$ using a $5 \mathrm{~kW}$ pump. If the efficiency of the pump is $80 \%,$ what is the head added to the water as it passes through the pump?
Ankur S Numerade Educator
Problem 3
A glycerin storage tank has been contaminated with crude oil as shown in Figure 2.43. The tank is open to the atmosphere, where the atmospheric pressure is $101 \mathrm{kPa}$. Within the tank, a 0.7 -m-thick layer of crude oil floats on the glycerin that is $2.25 \mathrm{~m}$ deep. Both liquids are at $20^{\circ} \mathrm{C}$. Determine the pressure on the bottom of the tank, both as an absolute pressure and as a gauge pressure.
Abid Hussain Numerade Educator
Problem 4
An empty container weighs $10 \mathrm{~N},$ and when filled with kerosene at $20^{\circ} \mathrm{C},$ it weighs $50 \mathrm{~N}$. Estimate the volume of kerosene required to fill the container. What is the mass of kerosene required to fill the container?
Kudakwashe Mapiki Numerade Educator
Problem 5
A force balance in a particular fluid flow is combined with Newton's second law to yield the equation $$ \rho \frac{\mathrm{d}^{2} z}{\mathrm{~d} t^{2}}+a \frac{\mathrm{d} z}{\mathrm{~d} t}+b z=c $$ where $\rho, z,$ and $t$ are dimensional variables with the following dimensions: $\rho\left[\mathrm{ML}^{-3}\right],$ $z[\mathrm{~L}],$ and $t[\mathrm{~T}]$. (a) Determine the dimensions of the system parameters $a, b,$ and $c .$ (b) If standard SI units are to be used in the given equation and values of $\rho, z,$ and $t$ are provided in $\mathrm{g} / \mathrm{cm}^{3}, \mathrm{~mm},$ and $\mathrm{h}$, respectively, what conversion factors must be applied to these variables before they are used in the equation?
Problem 6
The lift force, $F_{\mathrm{L}}[\mathrm{F}],$ exerted on an object with a plan area $A\left[\mathrm{~L}^{2}\right]$ by a fluid with an approach velocity $V\left[\mathrm{LT}^{-1}\right]$ and density $\rho\left[\mathrm{ML}^{-3}\right]$ is usually derived using the relation $$ F_{\mathrm{L}}=C_{\mathrm{L}} \frac{1}{2} \rho V^{2} A $$ where $C_{\mathrm{L}}$ is an empirical constant called the lift coefficient. (a) What are the units of $C_{\mathrm{L}}$ if standard SI units are used for $F_{\mathrm{L}}, \rho, V,$ and $A ?(\mathrm{~b})$ What adjustment factor would be applied to $C_{\mathrm{L}}$ if standard USCS units were used for $F_{\mathrm{L}}, \rho, V,$ and $A ?$
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