Fluid Mechanics8th EditionFrank M. White Publisher: McGraw-Hill EducationISBN: 9780073398273
Fluid Mechanics
Solutions for Fluid Mechanics
Problem 10.2P:
P10.2 Water at 20°C flows in a 30-cm-wide rectangular channel at a depth of 10 cm and a flow rate of...Problem 10.9P:
Equation (10.10) is for a single disturbance wave. For periodic small-amplitude surface waves of...Problem 10.20P:
An unfinished concrete sewer pipe, of diameter 4 ft, is flowing half-full at 39,500 U.S. gallons per...Problem 10.39P:
Pl0.39 A trapezoidal channel has n = 0.022 and Sn = 0.0003 and is made in the shape of a...Problem 10.54P:
A clay tile V-shaped channel has an included angle of 70° and carries 8.5 m7s. Compute (a) the...Problem 10.61P:
P10.59 Uniform water flow in a wide brick channel of slope 0.02° moves over a 10-cm bump as in Fig....Problem 10.62P:
P10.62 Consider the flow in a wide channel over a bump, as in Fig. Pl0.62. One can estimate the...Problem 10.69P:
Given is the flow of a channel of large width b under a sluice gate, as in Fig. Pl0.69. Assuming...Problem 10.85P:
Pl0.85 The analogy between a hydraulic jump and a normal shock equates Mach number and Froude...Problem 10.120P:
The rectangular channel in Fig. P10.120 contains a V-notch weir as shown. The intent is to meter...Browse All Chapters of This Textbook
Chapter 1 - IntroductionChapter 2 - Pressure Distribution In A FluidChapter 3 - Integral Relations For A Control VolumeChapter 4 - Differential Relations For Fluid FlowChapter 5 - Dimensional Analysis And SimilarityChapter 6 - Viscous Flow In DuctsChapter 7 - Flow Past Immersed BodiesChapter 8 - Potential Flow And Computational Fluid DynamicsChapter 9 - Compressible FlowChapter 10 - Open-channel Flow
Book Details
The eighth edition of White’s
Fluid Mechanics offers students a clear and comprehensive presentation of the material that demonstrates the progression from physical concepts to engineering applications and helps students quickly see the practical importance of fluid mechanics fundamentals. The wide variety of topics gives instructors many options for their course and is a useful resource to students long after graduation.
The book’s unique problem-solving approach is presented at the start of the book and carefully integrated in all examples. Students can progress from general ones to those involving design, multiple steps and computer usage.
Sample Solutions for this Textbook
We offer sample solutions for Fluid Mechanics homework problems. See examples below:
Given Information: Temperature of gas is 20 ° C Number of molecules is 1012 per cubic millimeter....Given: Initial temperature = 10℃ Initial Pressure = 1atm ⇒ 101.350 kPa New Pressure = 600kPa Concept...Given: μ≈1.80E−5 Pa·s for air at 20 °C Concept Used: Formula used μ=μo(T/To)n Calculation: First...Given: The fluid viscosity μ is then given by μ={Wnett(3π)DL} if t≥2ρDLμ Concept Used: Formulas are...Given: An approximation for the boundary layer shape u(y)≈Usin(πy2δ), 0≤y≤δ Where U=stream velocity...Given Information: We have below mentioned data, Slope as, 1R=d2ηdx2, The height as, h Surface...Torricelli (1608−1647) was a famous mathematician and born in Faenza, Italy. He completed his...Given: The pressure drop is held constant at Δp=5 kPa Tube Diameter =2 mm Length of pipe =1 m...Given: θ=15°, h=1 mm, m=6 kg, A=35 cm2 Dynamic viscosity of SAE 30 oil at 20°C, μ=0.2394 pa.s...
Given: The cylinder weight and buoyancy is negligible and slides upward by a film of heavy oil of...Given information: σ xx = 3000 lbf/ft2 σ yy = 2000lbf/ft2 σ xy = 500 lbf/ft2 angle Θ = 300 We know...Calculation: Write the hydrostatic formula for tube B....Write the expression of hydrostatic relation from oil surface to water surface....Write the expression for specific weight of the liquid. γliquid=(SG)liquid(γwater) …… (I) Here, the...Calculation: Write the expression for density of the oil. ρoil=(SG)oil(ρwater) …… (I) Here, the...Concept Used: Write the hydrostatic formula from gage B to gage C....Write the expression for the volume of the right end leg of U-tube. Vr=π4d2h …… (I) Here, the volume...Given information: The approximate magnitude of acceleration due to gravity is 3.71 m/s2 . The...Write the expression for the constantn. n=gRB... (I) Here, the acceleration due to gravity isg, the...The following figure shows the two containers with water and oil. Figure-(1) The height of oil in...Write the expression for horizontal hydrostatic force. FH=P1A …… (I) Here, the pressure is P1 and...Write the expression for horizontal component of hydrostatic force. FH=γAhCG …… (I) Here, the...Given information: The maximum point of parabola AB is point A. The width of the panel is 150cm. The...Given information: The quarter circle BC is hinged at point C. The weight of the gate is neglected....Given information: The width of uniform body is b. It’s in static equilibrium, when pivoted about...Given Information: Let diameter of the sphere be D Dimensions of the box − length-L, breadth − b,...Given Information: Diameter of the log = 24 inches = 0.61 m Density of the log = 710 kg/m3 Density...Given information: The depth of water is 20 cm, the angular velocity is 120 r/min. Write the...Given: Concept Used: Force acting on the panel is given by F=p.A Where, p is the pressure in N/m2...Given information: Height of levee is 30 m Width of levee is 5 m Depth is 20 m Density is equal to...Given information: Three forms of Newton’s second law i.e. ∑F=ma ∑F=ddt(mv) ∑F=ddt( ∫ system vρ d ∘...Given: Diameter of the duct = 2 cm At section 1: Temperature = 345 K Pressure = 1.1 MPa At section...Given information: The diameter of nozzle at section 1 is 12 in, the diameter of nozzle at section 2...Given information: The force required to hold the plate steady is 70 N, diameter of the nozzle at...Given information: The diameter of the tube in which fluid is flowing is 3 in, the difference in the...Given information: The diameter of the tube at inlet and outlet in which the fluid is flowing is 10...Given information: The liquid in the tank is kerosene at 20 °C temperature. The air pressure inside...Given information: The diameter at section (1) is 12 cm . The diameter of the jet is 4 cm . The...Given information: The diameter of the tube is 0.001 m, the length of the siphon tube is 2 m The...Given information: The flow rate is 40 m3/h . The temperature of the water is 40°C . The height of...Given information: The temperature of the water flowing inside the nozzle is 35°C, The diameter at...Given information: The flow is uniform and hydrostatic. The height of the water level at section (1)...Given information: The diameter of the cylindrical tank is D . The initial height of the liquid is...Given information: The flow rate of the pump is 4000 gal/m . The temperature of the water is 20 °C ....Given information: The flow of water is steady and isothermal. The diameter at the section (1) is 9...Given information: The flow rate is 15000 gal/min . The friction head loss is 17 ft . The magnitude...Given information: The flow rate is Q . The flow is laminar. The head loss in the pipe is...Given information: The discharge from the pump is 57 m3/h . The discharge temperature of the water...Given information: There is linear variation between the head and the flow rate. The Figure-(1)...Given information: The tank is insulated. The initial temperature inside the tank is 20 °C and...Given information: The temperature of Kerosine is 20 °C . The flow rate of Kerosine is 2.3 ft3/s ....Given information: Write the expression for the idealized velocity field. V=4txi−2t2yj+4xzk Here,...Given information: The two dimensional velocity field is, V=(x2−y2+x)i−(2xy+y)j Here, the variables...Given information: The fluid velocity along the streamline AB is V=ui=U0(1+R3x3)i. Compare the...Given information: The velocity in x -direction is −2xy, the velocity in y direction is y2−x2. Write...Given information: Two dimensional converging nozzle velocity distribution in x direction, y...Given information: The volume flow rate of incompressible flow towards a drain is Q, the area of the...Given information: The Flow field V=Kxi+Kyj−2Kzk is a vector representing a three dimensional...Given information: The flow is incompressible in nature, the cylindrical coordinate are vr=0,...Given information: The velocity component of laminar flow between parallel plate in x direction, y...Given information: The two dimensional incompressible velocity potential is given as, ϕ=xy+x2−y2=0...Assume the flow to be parallel, u=w=0 Due to this, the momentum equation along x and z directions...Given: Diameter of the circular tube, d=9cm=0.09m Reynolds number Re=2300. Fluid: Kerosene State:...Given Information: ρu∂u∂x ρu∂u∂x {ρ}={ML−3} {u}={LT−1} {∂u∂x}={T−1} {ρu∂u∂x}={ρ}{u}{∂u∂x}...The period of oscillation T, density ρ, wavelength λ, depth h, gravity g, and surface tension Y the...Given information: Mass flow rate =m•Tank pressure = PoTemperature = ToGas constant =RSpecific heat...Given information: Heat loss Q•loss depends on temperature difference ΔT, surface area A and R value...Given information: Volume flow Q depends on, Pipe diameter D, pressure drop Δp, density ρ, viscosity...Given information: The time td takes to drain the liquid completely from a tank depends on: Hole...Given Information: Model chord length, L=0.27m Wing Area, A=0.63m2 Velocity of full-scale aircraft,...Given: Windmill parameter: Diameter = 50 cm Power developed = 2.7 kW Speed of rotation = 4800 rpm...Given Information: For long circular rough pipes in turbulent flow, wall shear τw is a function of...Given Information: For fluid exiting a nozzle which is a gas instead of water, upstream pressure...Given Information: w=fcn(x,ρ,μ,g,δ) Reference Prob 4.8: Oil of viscosity μ and of density ρ, drains...Given Information: The Taco Inc. model 4013 centrifugal pump has an impeller of diameter D = 12.95...Given Information: The diameter of pipe is, d=5 cm=0.005m The flow rate through pipe is, Q = 106 N/h...Given Information: Convective acceleration: dudt=∂∂x(u2)+∂∂y(uv)+∂∂z(uw) Concept Used: Equation...Given information: The fluid is water at 20°C The diameter of the pipe is 10 cm ΔPL=1000 Pa/m The...Given information: The room pressure is 10 Pa The pressure drop is defined as, ΔP=ρghf=ρgfLD V 2 2g...Given information: The pipe entrance is sharp edged. The energy equation can be written as below for...Given information: Both reservoirs are connected by cast iron pipes with sharp edged entrance and...Given information: The total flow rate is equal to 0.036 m3/s The loss of co-efficient is equal to...Given information: The length of the small duct is 100 ft and the cross-section of 6 in by 6 in The...Given information: All pipes are made of cast iron and the diameter is equal to 8 cm If the valve C...Given information: The pipes are made of asphalted cast iron. The diameter of all pipes is equal to...Given information: All pipes are concrete, and roughness is equal to 0.04 in The fluid is water at...Given information: The fluid is water at 20°C The total flow rate is 200 m3/h In parallel pipe...Given information: Diameter of all pipes are 28 cm and roughness ∈=1mm At three reservoir junction,...Given information: Diameter of all pipes are 15 cm and roughness ∈=1mm At three reservoir junction,...Given information: Diameter of all pipes are 28 cm and roughness ∈=1mm At three reservoir junction,...Given information: The fluid is water at 20°C At three reservoir junction, if all flows are...Given information: Pressures in each pipe is equal to, p1=200kPa p2=160kPap3=100kPa The fluid is...Given information: The fluid is water at 20°C The pipe 1 is fitted with a butterfly valve, since the...Given information: For all pipes, friction factor is equal to 0.025 The fluid is water at 20°C Inlet...Given information: All pipes are made of cast iron. The diameter of all pipes are 8 cm and the...Given information: For the ideal gas, Pressure p1 = 1 atm Temperature T1 = 20° C Velocity V1 = 12...Given information: Laminar to turbulent transition point is given as Reexit x=1.5 m Velocity of the...Given information: The readings of y in mm and h in mm as mention in question. For air at 20°C,1atm...Given information: Width b=4ft=1.22m, length L=8ft=2.44m, U=35mih=15.6ms, take density of air...Given Information: The value of constants k & B are 0.421 & 5.62 respectively. Concept Used:...Given Information: We have following figure: And at x=2 m, shear stress is 2.1 Pa. The given flow is...Given information: The diameter of the cylinder is equal to 1.5 m The length of the cylinder is 22 m...Given information: Joe pedals his bike at 10 m/s without the effect of wind The rolling resistance...Given information: Diameter of the sphere is D Density of the sphere ρs The density of the fluid is...Given information: The depth of the water tank is 2.5 m The velocity of water flow is 35 cm/s The...Given information: Diameter of balloon is equal to 4 m Balloon contains helium at 15°C The total...Given information: The balloon is filled with helium gas The diameter is equal to 50 cm The weight...Given information: The fluid is air at 20°C Air flows at a speed of 5 m/s Distance between the...Given information: The sign board is 5 ft and a height of 1.5 ft Velocity is equal to 40 mi/h The...Given information: Cup diameter is D Density of the air is equal to ρ To find the differential...Given information: The Blasius flat plate relation is defined as, f'''+12ff''=0 Boundary conditions...Given Information: The streamline function Ψ (r,θ) The potential line function φ (r,θ) Concept Used:...Given Information: A harmonic function F(x, y, z): F=2x2 +y3 -4xz+f(y) Concept Used: First, we must...Given: Γ=8500 m2/s The given circulation yields the circumferential velocity at r=40 m :...Given information: U∞=20m/s,ρ=998kgm3 , uniform water stream combines with a source at the origin to...Given information: Free stream velocity U∞=6 m/s The value of pressure outside the boundary layer...Given Information: Flettner rotor ship length, L=100ft Diameter of the rotor, D=9ft Height of the...Given: For fresh water, take ρ=998kg/m3, V=7m/s ,α=2.5° Calculation:...Given Information: SG = 7.85D = 2 cmT = 20o CCD = 0.47 Formula used: (m+mh)dVdt= Wnet−CDρ2V2A A =...Given: Golf ball diameter, D=1.7 in Inlet velocity, V0=250 ft/s Upward angle, θ0=20∘ For sea − level...Given Information: Formula used: a max = ( V dV dx ) max Calculation: We know the formula for the...Given Information: D = 22 cmSG = 2.7a = 12 m/s2T = 20o C Formula used: mh = 23ρwaterπa3 Calculation:...Given information: The strength of the flow = -m The height of the above the floor = a The location...Given information: At section 1, Pressure p1 = 140 kPa Temperature T1 = 260° C Velocity V1 = 75 m/s...Given Information: A1 = 20 cm2p1 = 300 kPaρ1 = 1.75 kg/m3V1 = 122.5 m/sρ2 = 0.266 kg/m3T2 = 281 K...Given information: At section 1, p1=250 kPaT1=125°CV1=200 m/s At section 2, A2=0.25 m2Ma2=2.0 Speed...Given information: At section 1, p1=35 lbf/in2T1=200°FV1=400 ft/s At section 2, p2=18 lbf/in2V2=1100...Given information: The nozzle exit velocity is equal to 235 m/s h=30 cm The stagnation temperature...Given information: At stagnation point inside the reservoir, p0=300 kPaT0=500 K At section 1, A1=0.2...Given information: At stagnation point inside the reservoir, p0=150 kPaT0=400 K At section 1, A1=0.1...Given information: At stagnation point, p0=169.12 kPaT0=30°C The absolute pressure is equal to...Given information: At section 1, A1=20 cm2p1=300 kpaρ1=1.75 kg/m3Ma1=0.25 At section 2, The area is...Given information: Throat diameter is 3 in k=1.4 Molecular weight is equal to M=26 pa=14.7 lbf/in2...Given information: The diameter at section 1 is D=5 cm The diameter at section 2 is d=3 cm The...Given information: Mach number at entrance is equal to, Ma=7 The altitude is 10000 m Inlet area is 1...Given information: Stagnation pressure is equal to 450 kPa Throat area is 12 cm2 Shock is at A1=20...Given Information: Section pressure, P1=101kPa Section temperature, T1=300k Velocity, V1=868m/s Area...Given: A1=24 cm2 =24×10−4 m2 A2=18 cm2 =18×10−4 m2 A3=32 cm2 =32×10−4 m2 T0=500 K. p1=40 kPa =40000...Given Information: The value of pressure at entrance, p1=102000 Pa The value of pressure at...Given information: First convert the pressure we get 1Ib/in2=6.8948×103×1Pa=6.8948×103Pa...Given Information: θ = 20o Formula used: tanθ = 2cotβ(Ma12sin2β−1)Ma12(k+cos2β)+2 Calculation: To...Given information: From the properties of air altitude of 10000m from the table Inlet pressure...Given Information: c2=gy(1+δyy)(1+12δyy) co2=gy Shallow water wave propagation speed is given by:...The concrete duct which is unfinished has a diameter of 1.5m that flows at 8.0m3/s Froude number is...Given: Velocity V1 = 5.5 m/s y1 = 90cm Concept Used: Point1 is at the flow before the bump.Ponit 2...The given figure is: The discharge for sluice gate is having a free outflow have dissipation when...Given: y1 = 0.25m y2 = 1 m Concept Used: V12=gy1η(η+1)2Where,η=y2y1From continuity...Given information: q = 25 ft3 /s-ft y1=1 ft Concept: Froude number ,Fr=VVcFrom continuity...Given information: Average velocity, V = 0.94m/s Depth of flat-water channel, y1=1cm Wedge half...Given: y1 = 1 m y3 = 0.4 m Concept Used: E1=y1+V122gFor uniform flow,q=y1V1=y2V2 Calculation:...Given: y3 = 0.3 m h = 0.1 m Concept Used: Fr=VVcE=constant=E1=y1+V122gFor uniform flow,q=y1V1=y2V2...Given: Q = 8 m3 /s Slope = 0.1° b = 4 m Local depth = 1m Concept Used: Q=αn*A*R2/3*Slope1/2yc=( q 2...Given: Q = 1.98 m3 /s Slope = 0.33° Local depth = 1m Concept Used:...Given information: The average flow rate is 900 ft3/s, upstream width is 150 ft, slope is 10 ft/mile...Given: S0=0.0025 Q = 600 ft3 / s b = 50 ft increase in water depth = 8 ft Concept: Q=αnARh2/3So1/2...Figure: Given: For unfinished concrete n≈0.014, y(0)=0.0462m, q=0.2m3/s, g=32.2ft/s2 So=sin5°...Figure: Given: For asphalt take n=0.016, b=1.5m, g=9.81m/s2 So=0.0036, Depth y=0.7m Concept Used:...Figure: Given: b=8ft, H=3ft, y1=12ft, g=32.2ft/s2. Concept Used: Annuity problem requires the use of...Concept: Human peristaltic PDP is Human Heart. Function of the heart is to pump the blood to...Given Information: Temperature (T) = 20o C Formula used: η = γQHP Calculation: To solve this...Given Information: Given data from problem 11.31. Temperature (T) = 20o C Np = 1200 r/min Formula...Given Information: BEP flow rate = 2000 gal/minDiameter (d) = 16 inSpeed (n) = 1200 r/min Formula...Given Information: Pump diameter, d = 32in Fig 11.7a From the figure, the best curve for 32-inch...Given information: Water temperature = 20° C The pump size = 35 inch = 88.9 cm The density of water...Given Information: Head, Hp=45ft Speed of turbine, np=360r/min Power, Pp=4000bhp =2200000ft.lbf/s...Given Information: The given table is given for water turbine having the performance data that...Given: Referencing the below diagram: The equation given below is also taking into consideration:...Given: Referencing the below diagram: We have: H=450mL=5 kmD =1.2 mDj=20 cmε = 1 mmimpulse wheel...Given Information: Wind speed, 12 min/h Diameter of cast iron pipe = 3 in. Height, 10 ft Diameter of...Given Information: The given figure, The system delivers 20-degree Celsius water from the sea level...Given Information: Diameter=1ft Coupling rate=2500r/min Density=56lbm/ft3 Concept Used: π1=ρaDbωpcT...
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Fluid Mechanics
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Fluid Mechanics
2nd Edition
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Fluid Mechanics
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Fluid Mechanics -plus Mac Disk
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Fluid Mechanics
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Fluid Mechanics
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FLUID MECHANICS (LL)-W/CONNECT
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Fluid Mechanics
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Fluid Mechanics
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Fluid Mechanics
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Fluid Mechanics
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Fluid Mechanics With Student Resources Cd
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Fluid Mechanics, 8 Ed
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Fluid Mechanics
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FLUID MECHANICS W/ONLINE ACCESS CODE
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FLUID MECHANICS-PHYSICAL ACCESS CODE
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FLUID MECHANICS >C<
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FLUID MECHANICS-ACCESS CHARGE
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Connect 1 Semester Access Card For Fluid Mechanics
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Fluid Mechanics 8e In Si Units
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Package: Loose Leaf For Fluid Mechanics With 1 Semester Connect Access Card
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Loose Leaf For Fluid Mechanics
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FLUID MECHANICS
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FLUID MECHANICS - CONNECT
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Fluid Mechanics
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Fluid Mechanics With Student Dvd (mcgraw-hill Series In Mechanical Engineering)
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Fluid Mechanics
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Fluid Mechanics (mcgraw-hill Series In Mechanical Engineering)
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FLUID MECHANICS (LL+CONNECT)
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FLUID MECHANICS
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FLUID MECHANICS - CONNECT ACCESS
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FLUID MECHANICS-CONNECT ACCESS
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