Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 7, Problem 9P
To determine
The primary dimension of specific ideal gas constant and verification of units with specific gas constant of air.
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2.50 WP A gas undergoes a process in a piston-cylinder assembly
during which the pressure-specific volume relation is pul2 = con-
stant. The mass of the gas is 0.4 lb and the following data are known:
P₁ = 160 lbf/in.², V₁ = 1 ft³, and p₂ = 390 lbf/in. During the process,
heat transfer from the gas is 2.1 Blu. Kinetic and potential energy ef-
fects are negligible. Determine the change in specific internal energy
of the gas, in Btu/lb.
For a certain polyatomic ideal gas the value of its ideal gas constant is 0.123 kj/(kg.k).
Determine a) its molecular weight (W); b) its specific heat at constant pressure(Cp); c) its specific heat at constant volume(Cv).
Chapter 7 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 7 - What is the difference between a dimension and a...Ch. 7 - List the seven primary dimensions. What is...Ch. 7 - Write the primary dimensions of the universal...Ch. 7 - Write the primary dimensions of each of the...Ch. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - On a periodic chart of the elements, molar mass...Ch. 7 - Prob. 9PCh. 7 - The moment of force(M)is formed by the cross...
Ch. 7 - You are probably familiar with Ohm law for...Ch. 7 - Write the primary dimensions of each of the...Ch. 7 - Prob. 13PCh. 7 - Thermal conductivity k is a measure of the ability...Ch. 7 - Write the primary dimensions of each of the...Ch. 7 - Prob. 16PCh. 7 - Explain the law of dimensional homogeneity in...Ch. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - An important application of fluid mechanics is the...Ch. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - In Chap. 4, we defined the material acceleration,...Ch. 7 - Newton's second law is the foundation for the...Ch. 7 - What is the primary reason for nondimensionalizing...Ch. 7 - Prob. 26PCh. 7 - In Chap. 9, we define the stream function for...Ch. 7 - In an oscillating incompressible flow field the...Ch. 7 - Prob. 29PCh. 7 - Consider ventilation of a well-mixed room as in...Ch. 7 - In an oscillating compressible flow field the...Ch. 7 - List the three primary purposes of dimensional...Ch. 7 - List and describe the three necessary conditions...Ch. 7 - A student team is to design a human-powered...Ch. 7 - Repeat Prob. 7-34 with all the same conditions...Ch. 7 - This is a follow-tip to Prob. 7-34. The students...Ch. 7 - The aerodynamic drag of a new sports car is lo be...Ch. 7 - This is a follow-tip to Prob. 7-37E. The...Ch. 7 - Consider the common situation in which a...Ch. 7 - Prob. 40PCh. 7 - Some students want to visualize flow over a...Ch. 7 - A lightweight parachute is being designed for...Ch. 7 - Prob. 43PCh. 7 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - The Richardson number is defined as Ri=L5gV2...Ch. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - A stirrer is used to mix chemicals in a large tank...Ch. 7 - Prob. 50PCh. 7 - Albert Einstein is pondering how to write his...Ch. 7 - Consider filly developed Couette flow-flow between...Ch. 7 - Consider developing Couette flow-the same flow as...Ch. 7 - The speed of sound c in an ideal gas is known to...Ch. 7 - Repeat Prob. 7-54, except let the speed of sound c...Ch. 7 - Repeat Prob. 7-54, except let the speed of sound c...Ch. 7 - Prob. 57PCh. 7 - When small aerosol particles or microorganisms...Ch. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - An incompressible fluid of density and viscosity ...Ch. 7 - Prob. 63PCh. 7 - In the study of turbulent flow, turbulent viscous...Ch. 7 - Bill is working on an electrical circuit problem....Ch. 7 - A boundary layer is a thin region (usually along a...Ch. 7 - A liquid of density and viscosity is pumped at...Ch. 7 - A propeller of diameter D rotates at angular...Ch. 7 - Repeat Prob. 7-68 for the case an which the...Ch. 7 - Prob. 70PCh. 7 - Prob. 71PCh. 7 - Consider a liquid in a cylindrical container in...Ch. 7 - Prob. 73PCh. 7 - One of the first things you learn in physics class...Ch. 7 - Prob. 75CPCh. 7 - Prob. 76CPCh. 7 - Define wind tunnel blockage. What is the rule of...Ch. 7 - Prob. 78CPCh. 7 - Prob. 79CPCh. 7 - In the model truck example discussed in Section...Ch. 7 - Prob. 83PCh. 7 - A small wind tunnel in a university's...Ch. 7 - There are many established nondimensional...Ch. 7 - Prob. 86CPCh. 7 - For each statement, choose whether the statement...Ch. 7 - Prob. 88PCh. 7 - Prob. 89PCh. 7 - Prob. 90PCh. 7 - Prob. 91PCh. 7 - From fundamental electronics, the current flowing...Ch. 7 - Prob. 93PCh. 7 - Prob. 94PCh. 7 - The Archimedes number listed in Table 7-5 is...Ch. 7 - Prob. 96PCh. 7 - Prob. 97PCh. 7 - Prob. 98PCh. 7 - Prob. 99PCh. 7 - Prob. 100PCh. 7 - Repeal Prob. 7-100 except for a different...Ch. 7 - A liquid delivery system is being designed such...Ch. 7 - Prob. 103PCh. 7 - Au aerosol particle of characteristic size DPmoves...Ch. 7 - Prob. 105PCh. 7 - Prob. 106PCh. 7 - Prob. 107PCh. 7 - Prob. 108PCh. 7 - Prob. 109PCh. 7 - Prob. 110PCh. 7 - Repeat pall (a) of Prob. 7-110, except instead of...Ch. 7 - Sound intensity I is defined as the acoustic power...Ch. 7 - Repeal Prob. 7-112, but with the distance r from...Ch. 7 - Engineers at MIT have developed a mechanical model...Ch. 7 - Prob. 116PCh. 7 - Prob. 117PCh. 7 - An electrostatic precipitator (ESP) is a device...Ch. 7 - Prob. 119PCh. 7 - Prob. 120PCh. 7 - Prob. 121PCh. 7 - Prob. 122PCh. 7 - Prob. 123PCh. 7 - Prob. 124PCh. 7 - The primary dimensions of kinematic viscosity are...Ch. 7 - There at four additive terms in an equation, and...Ch. 7 - Prob. 127PCh. 7 - Prob. 128PCh. 7 - Prob. 129PCh. 7 - A one-third scale model of a car is to be tested...Ch. 7 - Prob. 131PCh. 7 - A one-third scale model of an airplane is to be...Ch. 7 - Prob. 133PCh. 7 - Prob. 134PCh. 7 - Consider a boundary layer growing along a thin...Ch. 7 - Prob. 136P
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- The 1st law of thermodynamics is ΔU = Q –W. Use this statement of the 1st law to show (mathematically) its equivalent statement: “Total energy of the universe is constant”. Here, the universe can be defined as: system + surroundings (everything but the system –everything outside the system). (Hint: this can be shown by two ways-you may either treat system and surroundings as two systems next to each other, or you may treat system + surroundings (universe) as one system.)arrow_forwardA gas contained within a piston-cylinder assembly undergoes three processes in series: Process 1-2: Constant volume from p₁ = 1 bar, V₁ = 4 m³ to state 2, where p2 = 2 bar. Process 2-3: Compression to V3 = 2 m³, during which the pressure-volume relationship is pV = constant. Process 3-4: Constant pressure to state 4, where V4 = 1 m³. Sketch the processes in series p-V coordinates and evaluate the work for each process, in kJ. Hint: Draw all the processes neatly on P-V diagram. Denote the states 1-4. Do not forget to add arrows.arrow_forward1. Answer the following questions. (i) Consider water substance at an absolute pressure of 20 bar and a temperature of 50°C. What is the specific internal energy of water, in kJ/kg? 209.33 What is the specific enthalpy of water, in kJ/kg? 209.33 906.14 211.34 2599.1 2591.3 2442.7 2798.3arrow_forward
- An unknown gas with a mass of 1.5 kg is contained in a bottle of 1.17 m3 at a temperature of 27 degrees Celsius and a pressure of 2 atmospheres (bar). If you know that the value of the general constant for gases is 8314 joules / kilogram degrees Kelvin. Calculate the gas constant and determine the type of gas. *arrow_forwardthe specific heat (cp or cv) can also be understood as a "capacity or ability of a given material to store "heat". In this way, we can say that: 1- the greater the specific heat, the greater the amount of "heat" needed to cause an increase or decrease in temperature per unit mass of the material.2- the higher the specific heat, the lower the amount of "heat" needed to cause an increase or decrease in temperature per unit mass of the material3- the lower the specific heat, the greater the amount of "heat" needed to cause an increase or decrease in temperature per unit mass of the material4- the lower the specific heat, the amount of "heat" needed to cause an increase or decrease in temperature per unit mass of the material does not change5-the higher the specific heat, the amount of "heat" needed to cause an increase or decrease in temperature per unit mass of the material does not change choose only one of the above alternatives as correctarrow_forwardThe mass (m)of a substance is equal to (Take M-molar mass & N- number of moles) M/N O M+N MN O M-N Which of the following relation is correct? du=Tds – pdv dh=Tds - pdv du=Tds + vdp dh=Tds / vdparrow_forward
- * Your answer is incorrect. A gas undergoes a process in a piston-cylinder assembly during which the pressure-specific volume relation is pv¹.2 = constant. The mass of the gas is 0.4 lb and the following data are known: p₁ = 160 lbf/in.², V₁ = 1 ft³, and p2 = 300 lbf/in.² During the process, heat transfer from the gas is 2.1 Btu. Kinetic and potential energy effects are negligible. Determine the change in specific internal energy of the gas, in Btu/lb. Δu = i | 76.53 Btu/lbarrow_forwardCharles' law states that If the pressure on a particular quantity of gas is held constant, then, with any change of state, the volume will vary directly as the absolute temperature. If the temperature on a particular quantity of gas is held constant, then, with any change of state, the volume will vary directly as pressure. If the temperature on a particular quantity of gas is held constant, then, with any change of state, the volume will varies inversely as pressure. It is a composite property applicable to all fluids, known as Heat Energy Enthalpyarrow_forwardThree-tenths kilogram of a gas is contained within a piston-cylinder assembly. The gas undergoes a process for which the pressure-volume relationship is PVA1.6 = constant. The initial pressure is 73 psi, the initial volume is 10 ft3, and the final volume is 15 ft3. The change in specific internal energy of the gas in the process is 35 kJ/kg. There are no significant changes in kinetic or potential energy. Determine the net heat transfer for the process, in kJ. Select one: а. 11.66 b. -4.4 С. 40.8 d. 61.8arrow_forward
- A cryogenic substance is found to have a specific heat capacity (at constant volume) c_v that varies with temperature according to c_v = AT^2, where A is an empirically derived constant with units J/(K^3 kg). If 220 J of energy must be transferred thermally (at constant volume) to an 8,750 mg sample of this substance to raise the temperature of the sample from 1.0 K to 6.6 K, what is the value of A? Your Answer: Answer unitsarrow_forwardThe specific heat of copper is 0.093 cal/(g.°C) and the specific heat of gold is 0.031 cal/(g.°C). If 5.8 cal is supplied to one gram of copper and one gram of gold, the RATIO of temperature increase of gold to that of copper isarrow_forwardA closed system consisting of 10 lb of air undergoes a polytropic process from p₁-70 lbf/in², v₁-4 ft³/lb to a final state where p2 - 20 Ibf/in², v₂-12 ft³/lb. Determine the polytropic exponent, n, and the amount of energy transfer by work, in Btu, for the process. Step 1 Your answer is correct. Determine the polytropic exponent, n, for the process. n-11402 Hint Step 2 Determine the amount of energy transfer by work, in Btu, for the process. W- i Btu Attempts: 1 of 4 usedarrow_forward
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