Solutions for FLUID MECHANICS FUND. (LL)-W/ACCESS
Problem 3P:
Write the primary dimensions of the universal ideal gas constant Ru(Hint: Use the ideal gas Ian,...Problem 4P:
Write the primary dimensions of each of the following variables from the field of thermodynamics,...Problem 8P:
On a periodic chart of the elements, molar mass (M), also called atomic weight, is often listed as...Problem 10P:
The moment of force(M)is formed by the cross product of a moment arm (r) and an applied force (F),...Problem 11P:
You are probably familiar with Ohm law for electric circuits (Fig. P7-11), where E is the voltage...Problem 12P:
Write the primary dimensions of each of the following variables, showing all your work: (a)...Problem 14P:
Thermal conductivity k is a measure of the ability of a material to conduct heat (Fig. P7-14). For...Problem 15P:
Write the primary dimensions of each of the fo1lowin variables from the study of convection heat...Problem 20P:
An important application of fluid mechanics is the study of room ventilation. In particular, suppose...Problem 23P:
In Chap. 4, we defined the material acceleration, which is the acceleration following a fluid...Problem 24P:
Newton's second law is the foundation for the differential equation of conservation of linear...Problem 27P:
In Chap. 9, we define the stream function for two-dimensional incompressible flow in the xy-plane....Problem 28P:
In an oscillating incompressible flow field the force per unit mass acting on a fluid particle is...Problem 30P:
Consider ventilation of a well-mixed room as in Fig. P7-21. The differential equation for mass...Problem 31P:
In an oscillating compressible flow field the volumetric strain rate is not zero, but varies with...Problem 32CP:
List the three primary purposes of dimensional analysis.Problem 33CP:
List and describe the three necessary conditions for complete similarity between a model and a...Problem 34P:
A student team is to design a human-powered submarine for a design competition. The overall length...Problem 35P:
Repeat Prob. 7-34 with all the same conditions except that the only facility available to the...Problem 36P:
This is a follow-tip to Prob. 7-34. The students measure the aerodynamic drag on their model...Problem 37EP:
The aerodynamic drag of a new sports car is lo be predicted at a speed of 60.0 mill at an air...Problem 38EP:
This is a follow-tip to Prob. 7-37E. The aerodynamic drag on the model m the wind tunnel (Fig....Problem 39P:
Consider the common situation in which a researcher is trying to match the Reynolds number of a...Problem 41EP:
Some students want to visualize flow over a spinning baseball. Their fluids laboratory has a nice...Problem 42EP:
A lightweight parachute is being designed for military use (Fig. P7-42E). Its diameter D is 20 ft...Problem 46P:
The Richardson number is defined as Ri=L5gV2 Miguel is working on a problem that has a...Problem 49P:
A stirrer is used to mix chemicals in a large tank (Fig. P7-49). The shaft power W. supplied to the...Problem 51P:
Albert Einstein is pondering how to write his (soon-to-be-famous) equation. He knows that energy E...Problem 52P:
Consider filly developed Couette flow-flow between two infinite parallel plates separated by...Problem 53P:
Consider developing Couette flow-the same flow as Prob. 7-2 except that the flow is not yet...Problem 54P:
The speed of sound c in an ideal gas is known to be a function of the ratio of specific heats k,...Problem 55P:
Repeat Prob. 7-54, except let the speed of sound c in an ideal gas be a function of absolute...Problem 56P:
Repeat Prob. 7-54, except let the speed of sound c in an ideal gas be a function only of absolute...Problem 58P:
When small aerosol particles or microorganisms move through air or water, the Reynolds number is...Problem 62P:
An incompressible fluid of density and viscosity flows at average speed V through a long,...Problem 64P:
In the study of turbulent flow, turbulent viscous dissipation rate (rate of energy loss per unit...Problem 65P:
Bill is working on an electrical circuit problem. He remembers from his electrical engineering class...Problem 66P:
A boundary layer is a thin region (usually along a wall) in which viscous forces are significant and...Problem 67P:
A liquid of density and viscosity is pumped at volume flow rate V through a pump of diameter D....Problem 68P:
A propeller of diameter D rotates at angular velocity in a liquid of density and viscosity . The...Problem 69P:
Repeat Prob. 7-68 for the case an which the propeller operates in a compressible as instead of a...Problem 72P:
Consider a liquid in a cylindrical container in which both the container and the liquid are rotating...Problem 74P:
One of the first things you learn in physics class is the law of universal gravitation. F=Gm1m2r2 ,...Problem 77CP:
Define wind tunnel blockage. What is the rule of thumb about the maximum acceptable blockage for a...Problem 82P:
In the model truck example discussed in Section 7-5, the wind tunnel test section is 3.5 m long,...Problem 84EP:
A small wind tunnel in a university's undergraduate fluid flow laboratory has a test section that is...Problem 85CP:
There are many established nondimensional parameters besides those listed in Table 7-5. Do a...Problem 87CP:
For each statement, choose whether the statement is true or false and discuss your answer briefly....Problem 92P:
From fundamental electronics, the current flowing through a capacitor at any instant of time is...Problem 95P:
The Archimedes number listed in Table 7-5 is appropriate for buoyant pnrPcks in a fluid. Do a...Problem 101P:
Repeal Prob. 7-100 except for a different dependent parameter, namely, the time required to empty...Problem 102P:
A liquid delivery system is being designed such that ethylene glycol flows out of a hole in the...Problem 104P:
Au aerosol particle of characteristic size DPmoves in an airflow of characteristic length L and...Problem 111P:
Repeat pall (a) of Prob. 7-110, except instead of height h. find a functional relationship for the...Problem 112P:
Sound intensity I is defined as the acoustic power per unit area emanating from a sound source. We...Problem 113P:
Repeal Prob. 7-112, but with the distance r from the sound source as an additional independent...Problem 114P:
Engineers at MIT have developed a mechanical model of a tuna fish to study its locomotion. The...Problem 118P:
An electrostatic precipitator (ESP) is a device used in various applications to clean particle-laden...Problem 125P:
The primary dimensions of kinematic viscosity are (a) mL/t2 (b) mL/t (c) L2/t (d) L2/mt(e) L/mt2Problem 126P:
There at four additive terms in an equation, and their units an given below. Which one is not...Problem 130P:
A one-third scale model of a car is to be tested in a wind tunnel, The conditions of the actual car...Problem 132P:
A one-third scale model of an airplane is to be tested in water. The airplane has a velocity of 900...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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