FLUID MECHANICS FUND. (LL)-W/ACCESS4th EditionCENGEL Publisher: MCG CUSTOMISBN: 9781266016042
FLUID MECHANICS FUND. (LL)-W/ACCESS
Solutions for FLUID MECHANICS FUND. (LL)-W/ACCESS
Problem 1CP:
What does the word kinematics mean? Explain what the study of fluid kinematics involves.Problem 2CP:
Briefly discuss the difference between derivative operators d and . If the derivative u/x appears in...Problem 3P:
Consider the following steady, two-dimensional velocity field: V=(u,v)=(0.66+2.1x)i+(2.72.1y)j Is...Problem 4P:
Consider the following steady, two-dimensional velocity field: V=(u,v)=(a2( bcx)2)i+(2cby+2c2xy)j Is...Problem 5P:
-5 A steady, two-dimensional velocity field is given byV=(u,v)=(0.7813.25x)i+(3.54+3.25y)j...Problem 6P:
Consider steady flow of water through an axisymmetric garden hose nozzle (Fig. P4-6). Along the...Problem 7CP:
What is the Eulerian description of fluid motion? How does it differ from the lagrangian...Problem 8CP:
Is the Lagrangian method of fluid flow analysis more similar to study of a system or a control...Problem 9CP:
A stationary probe is placed in a fluid flow and measures pressure and temperature as functions of...Problem 10CP:
A tiny neutrally buoyant electronic pressure probe is released into the inlet pipe of a water pump...Problem 11CP:
Define a steady flow field in the Eulerian reference frame. In such a steady flow, is it possible...Problem 12CP:
Is the Eulerian method of fluid flow analysis more similar to study of a system or a control volume?...Problem 13CP:
A weather balloon is hunched into the atmosphere by meteorologists. When the balloon reaches an...Problem 14CP:
A Pilot-stalk probe can often be seen protruding from the underside of an airplane (Fig. P4-14C). As...Problem 15CP:
List at least three oiler names for the material derivative, and write a brief explanation about why...Problem 16P:
Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P4-16). A...Problem 17P:
Converging duct flow is modeled by the steady, dimensional ve1od field of Prob. 4-16. The pressure...Problem 18P:
A steady, incompressible, two-dimensional velocity field is given by the following components in the...Problem 19P:
A steady, incompressible, two-dimensional velocity field is given by the following components in the...Problem 20P:
For the velocity field of Prob. 4-6, calculate the fluid acceleration along the nozzle centerline as...Problem 21P:
Consider steady flow of air through the diffuser portion of a wind tunnel (Fig. P4-21). Along the...Problem 22P:
For the velocity field of Prob. 4-21, calculate the fluid acceleration along the diffuser centerline...Problem 24P:
The velocity field for a flow is given by V=ui+vj+wk where u=3x , v=2y , w=2z . Find the streamline...Problem 26CP:
What is the definition of a timeline? How can timelines be produced in a water channel? Name an...Problem 29CP:
Consider the visualization of flow over a 15° delta wing in Fig. P4-29C. Are we seeing streamlines,...Problem 30CP:
Consider the visualization of ground vortex flow in Fig P4-30C. Are we seeing streamlines, streaks,...Problem 31CP:
Consider the visualization of flow over a sphere in Fig. P4-31C. Are we seeing streamlines,...Problem 33CP:
Consider a cross-sectional slice through an array of heat exchanger tubes (Fig. P4-33C). For each...Problem 34P:
A bird is flying in a room with a velocity field of V=(u,v,w)=0.6x+0.2t1.4(m/s) .The room is heated...Problem 35EP:
Conversing duct flow is modeled by the steady, two-dimensional velocity field of Prob. 4-16. For the...Problem 36P:
The velocity field of a flow is described by V=(4x)i+(5y+3)j+(3t2)k . What is the pathline of a...Problem 39P:
Consider the steady, incompressible, two-dimensional velocity field of Prob. 4-37. Generate a vector...Problem 40P:
A steady, incompressible, two-dimensional velocity fie is given by V=(v,v)=(1+2,5x+y)i+(0.53x2.5y)j...Problem 43P:
The velocity field for a line some in the r plane (Fig. P4-43) is given by ur=m2u=0 Where m is the...Problem 44P:
A very small circular cylinder of radius Rtis rotating angular velocity i , inside a much larger...Problem 45P:
Consider the same two concentric cylinders of Prob. 4-44. This time, however, the inner cylinder is...Problem 46P:
The velocity held for a line vartex in the r -plane (Fig. P4-46) is given byur=0u=Kt where K is the...Problem 48CP:
Name and briefly describe the four fundamental types of motion or deformation of fluid particles.Problem 54P:
Converging duct flow is modeled by the steady, two-dimensional velocity field of Prob. 4—16. A fluid...Problem 57P:
Converging duct flow is modeled by the steady, two-dimensional velocity field of Prob. 4-16. As...Problem 58P:
Using the results of Prob. 4—57 and the fundamental definition of linear strain rate (the rate of...Problem 59P:
Converging duct flow (Fig. P4—16) is modeled by the steady, two-dimensional velocity field of Prob....Problem 61P:
For the velocity field of Prob. 4—60, what relationship must exist between the coefficients to...Problem 62P:
For the velocity field of Prob. 4—60, calculate the linear strain rates in the x- and y- directions.Problem 66P:
Consider steady, incompressible, two-dimensional shear flow for which the velocity field is...Problem 68P:
Consider the steady, incompressible, two-dimensional flow field of Prob. 4—66. Using the results of...Problem 74P:
A cylindrical lank of water rotates in solid-body rotation, counterclockwise about its vertical axis...Problem 76P:
A cylindrical tank of radius rrim= 0.354 m rotates about its vertical axis (Fig. P4—74). The tank is...Problem 80P:
For the Couette flow of Fig. P4—79, calculate the linear strain rates in the x- and y-directions,...Problem 81P:
Combine your results from Prob. 4—80 to form the two-dimensional strain rate tensor ij=( yx yy xx...Problem 82P:
Consider a steady, two-dimensional, incompressible flow field in the xy-plane. The linear strain...Problem 87CP:
Briefly explain the purpose of the Reynolds transport theorem (RH). Write the RH for extensive...Problem 89CP:
True or false: For each statement, choose whether the statement is true or false and discuss your...Problem 90P:
Consider the integral ddtt2tx2. Solve it two ways: (a) Take the integral first and then the time...Problem 92P:
Consider the general form of the Reynolds transport theorem (RTT) given by dBxysdt=ddtCVbdVcsbV,ndA...Problem 93P:
Consider the general form of the Reynolds transport theorem (RTT) as stated in Prob. Let B11 be the...Problem 98P:
The velocity field for an incompressible flow is given as V=5x2i20xyj+100tk. Determine if this flow...Problem 99P:
Consider fully developed two-dimensional Poiseuille flow—flow between two infinite parallel plates...Problem 100P:
For the two-dimensional Poiseuille flow of Prob. 4—99, calculate the linear strain rates in the x-...Problem 101P:
Combine your results from Prob. 4—100 to form the two-dimensional strain rate tensor in the...Problem 117P:
Based on your results of Prob. 4—116, discuss the compressibility (or incompressibility) of this...Problem 119P:
In a steady, two-dimensional flow field in the xy-plane the x-component of velocity is...Problem 120P:
A steady, two-dimensional velocity field in the ay-plane is given by V=(a+bx)i+(c+dy)j+0k (a) What...Problem 121P:
A velocity field is given by u=5y2,v=3x,w=0 . (Do not concern yourself with units in this problem.)...Problem 122P:
The actual path traveled by an individual fluid particle over some period is called a (a) Pathline...Problem 126P:
Water is flowing in a 3-cm-diameter garden hose at a rate of 2$ Lmin. A 20-cm nozzle is attached to...Problem 132P:
An array of arrows indicating the magnitude and direction of a vector property at an instant in time...Browse All Chapters of This Textbook
Chapter 1 - Introduction And Basic ConceptsChapter 2 - Properties Of FluidsChapter 3 - Pressure And Fluid StaticsChapter 4 - Fluid KinematicsChapter 5 - Bernoulli And Energy EquationsChapter 6 - Momentum Analysis Of Flow SystemsChapter 7 - Dimensional Analysis And ModelingChapter 8 - Internal FlowChapter 9 - Differential Analysis Of Fluid FlowChapter 10 - Approximate Solutions Of The Navier–stokes Equation
Sample Solutions for this Textbook
We offer sample solutions for FLUID MECHANICS FUND. (LL)-W/ACCESS homework problems. See examples below:
Chapter 1, Problem 1CPChapter 1, Problem 23PChapter 1, Problem 31PChapter 1, Problem 55PChapter 1, Problem 71PChapter 2, Problem 1CPChapter 2, Problem 19PChapter 2, Problem 39PChapter 2, Problem 49P
Given information: The pressure of the air is 95 kPa, the initial temperature is 20°C, the final...Chapter 2, Problem 77PChapter 2, Problem 85PChapter 2, Problem 87PGiven information: The diameter of glass tube is 0.018 in, the contact angle with the glass is 140°,...Chapter 2, Problem 118PChapter 2, Problem 123PChapter 2, Problem 127PChapter 2, Problem 128PGiven: The shear stress used for the Herschel-Bulkley constitute model is τ=τν+K( du dy)m, Yield...Chapter 2, Problem 132PChapter 3, Problem 1CPChapter 3, Problem 26PChapter 3, Problem 48PChapter 3, Problem 49PChapter 3, Problem 51PChapter 3, Problem 55PChapter 3, Problem 67PChapter 3, Problem 72PChapter 3, Problem 78PChapter 3, Problem 79EPChapter 3, Problem 80PChapter 3, Problem 81PChapter 3, Problem 85PChapter 3, Problem 86PChapter 3, Problem 87PChapter 3, Problem 90PChapter 3, Problem 135PThe radius of the semi-circular gate is 0.5 m, specific gravity of fluid in section 1 is 0.91,...Chapter 3, Problem 146PChapter 4, Problem 1CPChapter 4, Problem 23PGiven information: The flow is symmetric about x axis. Write the expression for the two-dimensional...Given information: The fluid particle is located on the centre line. Write the expression for the...Chapter 4, Problem 58PChapter 4, Problem 66PThe shear strain rate is half of the rate of decrease of the angle between two perpendicular lines...The vector field of flow is V⇀=k(x2−y2)i⇀−2kxyj⇀ and the radius of curvature of streamline is R=[1+...Chapter 4, Problem 98PChapter 4, Problem 101PWrite the expression for the two dimensional Poiseuille flow. u=12μdPdx(y2−hy). Here, the distance...Given information: The velocity component along the x direction is...Chapter 4, Problem 120PChapter 4, Problem 121PChapter 5, Problem 1CPChapter 5, Problem 53PChapter 5, Problem 55PChapter 5, Problem 57EPChapter 5, Problem 62PChapter 5, Problem 80PChapter 5, Problem 84PChapter 5, Problem 88PChapter 5, Problem 89PChapter 5, Problem 98PChapter 5, Problem 109PChapter 5, Problem 114PChapter 5, Problem 115PChapter 5, Problem 116PChapter 5, Problem 136PChapter 6, Problem 1CPChapter 6, Problem 23PGiven information: The volume flow rate of the water is 35 L/s, the discharge area for the smaller...Chapter 6, Problem 57PChapter 6, Problem 67PChapter 6, Problem 69PChapter 6, Problem 70PChapter 6, Problem 77PChapter 6, Problem 78PChapter 6, Problem 89PGiven information: The length of the slit is 1.2 m, width of the rectangular slit is 5 mm, water...Chapter 6, Problem 96PChapter 7, Problem 1CPGiven information: The shaft power is W˙, the angular velocity is ω, the fluid density is ρ, the...Chapter 7, Problem 53PChapter 7, Problem 62PChapter 7, Problem 67PThe angular velocity is ω, the fluid density is ρ, the acceleration due to gravity id g, the radius...Chapter 7, Problem 74PGiven information: force pressure gradient =dPdxFlow : steady+ incomprssible down stream distance...In M-L-T system, force = mass×accelerationF = m × a{F} = {mass × meter sec 2}{F} = {M × L t 2}{F} =...Given Information: Top plate speed, Vtop Bottom plate speed, Vbottom Steady flow, incompressible, 2...Chapter 7, Problem 112PChapter 7, Problem 113PChapter 7, Problem 118PGiven information: The following figure shows that two parallel flat plates. Figure-( 1) Assume, at...Chapter 8, Problem 1CPChapter 8, Problem 61PChapter 8, Problem 73PGiven information: The temperature of the water is 70 °F, density of the water is 62.3 lbm/ft3,...Given information: The air discharge rate is 1.2 ft3/s, diameter of the vent is 5 in, length of the...Given information: The temperature of oil is 20°C, the height of cylindrical reservoir is 20 cm, the...Given information: The temperature of the water is 110°C, density of the water is 950.6 kg/m3,...Chapter 8, Problem 94PChapter 8, Problem 96PGiven Information: The diameter of the pipe is 6 cm, the length of the pipe is 33 m, the inlet...Chapter 8, Problem 136PChapter 8, Problem 137PGiven information: The diameter of the cast iron pipe is 0.35 m and the length of the cast iron pipe...Given information: The diameter of tank 1 is 30 cm, diameter of tank 2 is 12 cm, diameter of orifice...Chapter 8, Problem 153PGiven information: The swimming pool diameter is 10 m, the swimming pool height is 2 m, the...Chapter 8, Problem 159PThe following figure represents the branched pipes. Figure-(1) Write the expression for the area of...Chapter 9, Problem 1CPChapter 9, Problem 16PGiven information: The incompressible flow filed for which the velocity u component is u=ax2−bxy,...Given information: The velocity component in θ direction is equal to 0. Write the expression for...Given information: The diameter at the entrance of the nozzle is 0.50 in, the diameter at exit of...Chapter 9, Problem 87PChapter 9, Problem 93PGiven information: The flow is steady, laminar, two-dimensional and incompressible. The flow is...Chapter 9, Problem 101PChapter 9, Problem 102PChapter 9, Problem 103PGiven information: The assumptions made are stated below: The flow is parallel, steady, and laminar....Chapter 9, Problem 123PChapter 10, Problem 1CPGiven information: Actual stokes law is FD=3πμDV+(9π/16)ρV2D2. Three aluminum balls of diameters 2...First, we need to use continuity equation for velocity component. From continuity equation, We have,...Chapter 10, Problem 29PGiven: h0=sleeper pad=11000h1=final height of sleeper=12000 lenght=1.0 Concept Used: Convergence of...Chapter 10, Problem 62PChapter 10, Problem 69PChapter 10, Problem 90PChapter 10, Problem 91PChapter 10, Problem 97PChapter 10, Problem 108PChapter 10, Problem 110PChapter 10, Problem 113PGiven information: The density of air is 0.8588 kg/m3, the temperature of air is −50°C the pressure...Chapter 11, Problem 1CPChapter 11, Problem 41EPChapter 11, Problem 43PChapter 11, Problem 48PChapter 11, Problem 68PChapter 11, Problem 88PChapter 11, Problem 96PChapter 11, Problem 101EPGiven information: Length=3 m Diameter=0.5 m Atmospheric pressure=87 kPa Temperature=20∘C=295 K...Given information: Mass of tractor=17,000 kg Frontal area=9.2 m2 Rolling resistance coefficient=0.05...Given information: Diameter=2 mm ρs=2600 kgm3ρf=1274 kgm3 Vexperimental=3.2 mms μ=1 kgm⋅s Concept...Given information: The diameter of the first aluminum ball is 2 mm, the diameter of the second...Given information: The diameter of the ball is 2 mm, the density of the ball is 2700 kg/m3, the...Chapter 12, Problem 1CPGiven: Air pressure, air temperature and Mach number are 14 psia, 40°F and 2 respectively. Flow...Given: The upstream the shock is given by, Pressure of air P1=58kPa Temperature of air T1=270K Mach...Given: The properties of air are: k = 1.4R = 0.287 kJ/kg·K,cp = 1.005 kJ/kg·K The properties of...Chapter 12, Problem 102PGiven: Temperature T1 = 480R Velocity V1=100 m/s Pressure P1=8 psia Mach number Ma1=2.0 Force...Chapter 12, Problem 126EPGiven: Ambient temperature at inlet T1= 500 K Stagnation Pressure P01=P1=220 psia Exit pressure P2 =...Given: The properties of air: R =0.280 kJ/kg.K cp=1.005 kJ/kg.K k=1.33 Inlet Temperature T1=510K...Given: Mach number k=1.2,1.4 and 1.6 range of 0≤Ma≤1. Calculation: Equation is given by m. R T 0...Chapter 13, Problem 1CPGiven Information: The water flow rate is 10 m3/s and the bottom slope is 0.0015 Write the...Given Information: The figure below represents the cross -section of three channels. Figure-(1) The...Given Information: The figure below shows the cross -section of the channel. Figure-(1) The bottom...Chapter 13, Problem 61PChapter 13, Problem 85PGiven information: Velocity of water flow is 10 m/s, the flow depth is 0.65 m, the bump height is 30...Given Information: The flow depth of upstream weir is 5 ft and the height of the gate opening is 1.1...Given information: The flow depth before the jump is 0.7 m, the flow depth after the jump is 5 m,...Given information: The channel angle is 0.5°. Write the expression for flow rate using manning's...Chapter 13, Problem 140PGiven information: Water is flowing through a sluice gate, the velocity of water before reaching the...Chapter 13, Problem 143PChapter 13, Problem 144PGiven information: The height of bump is 20 cm, initial velocity of flow is 1.25 m/s, the flow depth...Chapter 13, Problem 167PChapter 14, Problem 1CPChapter 14, Problem 35EPChapter 14, Problem 36EPChapter 14, Problem 41PChapter 14, Problem 47EPChapter 14, Problem 55EPChapter 14, Problem 56EPChapter 14, Problem 57EPChapter 14, Problem 61PChapter 14, Problem 62PGiven information: The number of rotations of centrifugal pump is 750 rpm. The inlet radius is 12 cm...Given information: The number of rotations of centrifugal pump is 750 rpm. The inlet radius is 12 cm...Given information: The diameter of the turbine A is 1.50 mand the number of rotation for the turbine...Chapter 14, Problem 123PChapter 15, Problem 1CP
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