Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Chapter 1, Problem 1.9FEEP
A certain water flow at 20°C has a critical cavitation number, where bubbles form, Ca
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Chapter 1 Solutions
Fluid Mechanics
Ch. 1 - Prob. 1.1PCh. 1 - Table A.6 lists the density of the standard...Ch. 1 - For the triangular element in Fig, P1.3,show that...Ch. 1 - Sand, and other granular materials, appear to...Ch. 1 - The mean free path of a gas, l, is defined as the...Ch. 1 - Henri Darcy, a French engineer, proposed that the...Ch. 1 - Convert the following inappropriate quantities...Ch. 1 - Suppose we know little about the strength of...Ch. 1 - A hemispherical container, 26 inches in diameter,...Ch. 1 - The Stokes-Oseen formula [33] for drag force F on...
Ch. 1 - P1.11 In English Engineering units, the specific...Ch. 1 - For low-speed (laminar) steady flow through a...Ch. 1 - The efficiency ? of a pump is defined as the...Ch. 1 - Figure P1.14 shows the flow of water over a dam....Ch. 1 - The height H that fluid rises in a liquid...Ch. 1 - Algebraic equations such as Bernoulli's relation,...Ch. 1 - The Hazen-Williams hydraulics formula for volume...Ch. 1 - For small particles at low velocities, the first...Ch. 1 - In his study of the circular hydraulic jump formed...Ch. 1 - Books on porous media and atomization claim that...Ch. 1 - Aeronautical engineers measure the pitching moment...Ch. 1 - Prob. 1.22PCh. 1 - During World War II, Sir Geoffrey Taylor, a...Ch. 1 - Air, assumed to be an ideal gas with k = 1.40,...Ch. 1 - On a summer day in Narragansett, Rhode Island, the...Ch. 1 - When we in the United States say a car's tire is...Ch. 1 - Prob. 1.27PCh. 1 - Wet atmospheric air at 100 percent relative...Ch. 1 - Prob. 1.29PCh. 1 - P1.30 Repeat Prob. 1.29 if the tank is filled with...Ch. 1 - Prob. 1.31PCh. 1 - Prob. 1.32PCh. 1 - A tank contai as 9 kg of CO2at 20°C and 2.0 MPa....Ch. 1 - Consider steam at the following state near the...Ch. 1 - In Table A.4, most common gases (air, nitrogen,...Ch. 1 - Prob. 1.36PCh. 1 - A near-ideal gas has a molecular weight of 44 and...Ch. 1 - In Fig. 1.7, if the fluid is glycerin at 20°C and...Ch. 1 - Prob. 1.39PCh. 1 - Glycerin at 20°C fills the space between a hollow...Ch. 1 - An aluminum cylinder weighing 30 N, 6 cm in...Ch. 1 - Prob. 1.42PCh. 1 - Prob. 1.43PCh. 1 - One type of viscometer is simply a long capillary...Ch. 1 - A block of weight W slides down an inclined plane...Ch. 1 - A simple and popular model for two nonnewtonian...Ch. 1 - Data for the apparent viscosity of average human...Ch. 1 - A thin plate is separated from two fixed plates by...Ch. 1 - An amazing number of commercial and laboratory...Ch. 1 - Prob. 1.50PCh. 1 - Prob. 1.51PCh. 1 - The belt in Fig. P1.52 moves at a steady velocity...Ch. 1 - A solid tune of angle 2 , base r0, and density...Ch. 1 - A disk of radius R rotates at an angular velocity ...Ch. 1 - A block of weight W is being pulled over a table...Ch. 1 - The device in Fig. P1.56 is called a cone-plate...Ch. 1 - Extend the steady flow between a fixed lower plate...Ch. 1 - The laminar pipe flow example of Prob. 1.12 can be...Ch. 1 - A solid cylinder of diameter D, length L, and...Ch. 1 - Prob. 1.60PCh. 1 - Prob. 1.61PCh. 1 - P1.62 The hydrogen bubbles that produced the...Ch. 1 - Derive Eq. (1.33) by making a force balance on the...Ch. 1 - Pressure in a water container can be measured by...Ch. 1 - The system in Fig. P1.65 is used to calculate the...Ch. 1 - Prob. 1.66PCh. 1 - Prob. 1.67PCh. 1 - Prob. 1.68PCh. 1 - A solid cylindrical needle of diameter d, length...Ch. 1 - Derive an expression for the capillary height...Ch. 1 - A soap bubble of diameter D1coalesces with another...Ch. 1 - Early mountaineers boiled water to estimate their...Ch. 1 - A small submersible moves al velocity V, in fresh...Ch. 1 - Oil, with a vapor pressure of 20 kPa, is delivered...Ch. 1 - An airplane flies at 555 mi/h. At what altitude in...Ch. 1 - Prob. 1.76PCh. 1 - Prob. 1.77PCh. 1 - P1.78 Sir Isaac Newton measured the speed of sound...Ch. 1 - Prob. 1.79PCh. 1 - Prob. 1.80PCh. 1 - Use Eq. (1.39) to find and sketch the streamlines...Ch. 1 - P1.82 A velocity field is given by u = V cos, v =...Ch. 1 - Prob. 1.83PCh. 1 - In the early 1900s, the British chemist Sir Cyril...Ch. 1 - Prob. 1.85PCh. 1 - A right circular cylinder volume v is to be...Ch. 1 - The absolute viscosity of a fluid is primarily a...Ch. 1 - Prob. 1.2FEEPCh. 1 - Helium has a molecular weight of 4.003. What is...Ch. 1 - An oil has a kinematic viscosity of 1.25 E-4 m2/s...Ch. 1 - Prob. 1.5FEEPCh. 1 - Prob. 1.6FEEPCh. 1 - FE1.7 Two parallel plates, one moving at 4 m/s...Ch. 1 - Prob. 1.8FEEPCh. 1 - A certain water flow at 20°C has a critical...Ch. 1 - Prob. 1.10FEEPCh. 1 - Sometimes we can develop equations and solve...Ch. 1 - When a person ice skates, the surface of the ice...Ch. 1 - Two thin flat plates, tilted at an angle a, are...Ch. 1 - Oil of viscosity and density drains steadily...Ch. 1 - Prob. 1.5CPCh. 1 - Prob. 1.6CPCh. 1 - Prob. 1.7CPCh. 1 -
C1.8 A mechanical device that uses the rotating...Ch. 1 - Prob. 1.9CPCh. 1 - A popular gravity-driven instrument is the...Ch. 1 - Mott [Ref. 49, p. 38] discusses a simple...Ch. 1 - A solid aluminum disk (SG = 2.7) is 2 in in...
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- As measured by NASA's Viking landers, the atmosphere of Mars, where g = 3.71 m/s2, is almost entirely carbon dioxide, and the surface pressure averages 700 Pa. The temperature is cold and drops off exponentially: T≈ TO e-Cz, where C 1.3 \times 10-5 m-1 and TO≈ 250 K. For example, at 20, 000 m altitude, T≈ 193 K. (a) Find an analytic formula for the variation of pressure with altitude. (b) Find the altitude where pressure on Mars has dropped to 1 Pascal.arrow_forwardHelium at 20 ° C has a viscosity of 1.97 E-5 kg/(m ∙ s). Usethe data of Table A.4 to estimate the temperature, in ° C, atwhich helium’s viscosity will double.arrow_forwardA storage tank, 26 ft in diameter and 36 ft high, is fi lledwith SAE 30W oil at 20 ° C. ( a ) What is the gage pressure,in lbf/in 2 , at the bottom of the tank? ( b ) How does your resultin ( a ) change if the tank diameter is reduced to 15 ft?( c ) Repeat ( a ) if leakage has caused a layer of 5 ft of waterto rest at the bottom of the (full) tank.arrow_forward
- SAE 10W30 motor oil has a dynamic viscosity of 0.21 kilograms per meter second and a specific gravity of 0.896 (a) What is the density of the motor oil in units of kilograms per cubic meter?arrow_forwardChoose the correct answer to the following (solution is required): If we have (6 m³) of oil weight (47000N), using Yw = 9790 N/m³ (1) Specific weight is (a) 7800 N/m³. (b) 7833 N/m³, (c) 7850 N/m³, (d) 8000 N/m³ (2) The density of oil is (a) 798 kg/m³. (b) 810 kg/m³. (c) 795 kg/m³. (d) 804 kg/m² (3) The specific gravity of oil is (a) 0.81, (b) 0.85, (c) 0.8, (d) 0.9arrow_forwardC1 (a). A lubricating oil having the dynamic viscosity of 0.058 poise and specific gravity of 1.11. Calculate (i) the density of oil in kg/m3, (ii) the weight density of oil in N/m3,(iii) the kinematic viscosity in stokes, and (iv) the specific volume in m³/kg. C1 (b). The capillary effect in a glass tube of 2.6 mm diameter, when immersed in (1) water and (2) mercury are 7.4 mm and -3.5 mm respectively. Calculate the value of surface tension in contact with air for water and mercury in N/m. Take, the contact angle for water =0° and mercury =130°. C1(a).(i).the density of oil in kg/m3 C1(a). (ii) the weight density of oil in N/m3 C1(a). (iii) the kinematic viscosity in stokes C1(a). (iv) the specific volume in m³/kg C1 (b). 1.the value of surface tension (water) in N/m C1 (b). 2. the value of surface tension (mercury) in N/marrow_forward
- C1 (a). A lubricating oil having the dynamic viscosity of 0.056 poise and specific gravity of 1.17. Calculate (i) the density of oil in kg/m3, (ii) the weight density of oil in N/m3, (iii) the kinematic viscosity in stokes, and (iv) the specific volume in m3/kg. C1 (b). The capillary effect in a glass tube of 2.8 mm diameter, when immersed in (1) water and (2) mercury are 7.7 mm and -3.5 mm respectively. Calculate the value of surface tension in contact with air for water and mercury in N/m. Take, the contact angle for water =0° and mercury =130°. C1(a). (i).the density of oil in kg/m3 C1(a). (ii) the weight density of oil in N/m3 C1(a). (iii) the kinematic viscosity in stokes C1(a). (iv) the specific volume in m3/kg C1 (b). 1.the value of surface tension (water) in N/m C1 (b). 2. the value of surface tension (mercury) in N/marrow_forwardWhen a clean glass tube with a diameter of 2 mm is immersed in water at 20 ° C, how many mm will the capillary rise occur in the glass tube? For water at 20 ° C, surface tension is given as 0.073 N / m, density 1000 kg / m3, contact angle 0 ° C and gravitational acceleration 10 m / s2.arrow_forwardThe pressure drop (Ap) test is carried out using a pipe configuration as illustrated below: Manometer 1 Manometer 2 straight pipe D= 2R R= radius in pipe The pipe data and the flowing fluid are as follows: Pipe: D = 1 cm; L= 100 cm. Fluid: Water, with density (A) = 1000 kg/m"; absolute viscosity (u) = 0.001 kg/im.s); Experimental data is shown as shown in the following table: Task: Ja. Plot the graph of the pressure as a function of the average velocity (V.v). b. Based on the equation for laminar flow in the pipe as follows: Ap = 32VuL, Vavg (m/s) Ap (Pa) 0,001 0,002 0,005 0,01 0,02 0,04 0,06 0,08 0,1 0,12 0,15 0,30 0,62 1,61 3,10 6,10 12,10 20,10 26,00 32,50 38,90 47,20 D Compare the experimental results in the table with the results of calculations using the above equation. Leave a comment. Note: Ap = p1-p2. c. The coefficient of friction (f) in the pipe is formulated as follows: f- 2DAD PL(V.) plot (plot) this distribution of fas a function of the Reynolds number (Re). Re is…arrow_forward
- If a stream flowing at velocity U past a body of lengthL causes a force F on the body that depends only on U , L ,and fluid viscosity μ , then F must be proportional to(a) ρUL/μ, (b) ρU2L2, (c) μU/L, (d) μUL, (e) UL/μarrow_forwardAn incompressible fluid flows through a pipe without significant viscosity. It has a density of 124 kg per cubic meter. In a section of pipe with a 2.8 cm radius the fluid moves at a speed of 13 m/s, and has a pressure of 103,763 pascals. It flows into a section of pipe with a 3.87cm radius that is 5 meters higher than the first section. What the pressure in the second section of pascals?arrow_forwardassisstancearrow_forward
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