Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER 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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Chapter 7 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 7 - List the seven primary dimensions. What is...Ch. 7 - What is the difference between a dimension and a...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 - On a periodic chart of the elements, molar mass...Ch. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - The moment of force(M)is formed by the cross...
Ch. 7 - Prob. 11PCh. 7 - You are probably familiar with Ohm law for...Ch. 7 - Write the primary dimensions of each of the...Ch. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Thermal conductivity k is a measure of the ability...Ch. 7 - Write the primary dimensions of each of the...Ch. 7 - Prob. 18PCh. 7 - Prob. 19EPCh. 7 - Explain the law of dimensional homogeneity in...Ch. 7 - In Chap. 4, we defined the material acceleration,...Ch. 7 - Newton's second law is the foundation for the...Ch. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - An important application of fluid mechanics is the...Ch. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - What is the primary reason for nondimensionalizing...Ch. 7 - Prob. 29PCh. 7 - In an oscillating compressible flow field the...Ch. 7 - In Chap. 9, we define the stream function for...Ch. 7 - In an oscillating incompressible flow field the...Ch. 7 - Prob. 33PCh. 7 - Consider ventilation of a well-mixed room as in...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 - A lightweight parachute is being designed for...Ch. 7 - Prob. 41PCh. 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 - Some students want to visualize flow over a...Ch. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - A stirrer is used to mix chemicals in a large tank...Ch. 7 - Prob. 52PCh. 7 - Albert Einstein is pondering how to write his...Ch. 7 - The Richardson number is defined as Ri=L5gV2...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. 60PCh. 7 - When small aerosol particles or microorganisms...Ch. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - An incompressible fluid of density and viscosity ...Ch. 7 - Prob. 66PCh. 7 - One of the first things you learn in physics class...Ch. 7 - Prob. 68PCh. 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 - In the study of turbulent flow, turbulent viscous...Ch. 7 - Prob. 75PCh. 7 - Consider a liquid in a cylindrical container in...Ch. 7 - Prob. 77PCh. 7 - Prob. 78CPCh. 7 - Prob. 79CPCh. 7 - Prob. 80CPCh. 7 - Define wind tunnel blockage. What is the rule of...Ch. 7 - Prob. 82CPCh. 7 - In the model truck example discussed in Section...Ch. 7 - A small wind tunnel in a university's...Ch. 7 - Prob. 87PCh. 7 - There are many established nondimensional...Ch. 7 - Prob. 89CPCh. 7 - For each statement, choose whether the statement...Ch. 7 - Prob. 91PCh. 7 - Prob. 92PCh. 7 - Prob. 93PCh. 7 - The Archimedes number listed in Table 7-5 is...Ch. 7 - Prob. 95PCh. 7 - Prob. 96PCh. 7 - Prob. 98PCh. 7 - Prob. 99PCh. 7 - Repeal Prob. 7-100 except for a different...Ch. 7 - Prob. 101PCh. 7 - Prob. 102PCh. 7 - Au aerosol particle of characteristic size DPmoves...Ch. 7 - Prob. 104PCh. 7 - Prob. 105PCh. 7 - Prob. 106PCh. 7 - Prob. 107PCh. 7 - Prob. 108PCh. 7 - Prob. 109PCh. 7 - Prob. 110PCh. 7 - An electrostatic precipitator (ESP) is a device...Ch. 7 - Prob. 113PCh. 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. 118PCh. 7 - Prob. 119PCh. 7 - Prob. 120PCh. 7 - Prob. 121PCh. 7 - The primary dimensions of kinematic viscosity are...Ch. 7 - Prob. 123PCh. 7 - Prob. 124PCh. 7 - Prob. 125PCh. 7 - There at four additive terms in an equation, and...Ch. 7 - Prob. 127PCh. 7 - Prob. 128PCh. 7 - Prob. 129PCh. 7 - Which similarity condition is related to...Ch. 7 - A one-third scale model of a car is to be tested...Ch. 7 - A one-fourth scale model of a car is to be tested...Ch. 7 - A one-third scale model of an airplane is to be...Ch. 7 - Prob. 134PCh. 7 - Prob. 135PCh. 7 - Prob. 136PCh. 7 - Consider a boundary layer growing along a thin...Ch. 7 - Prob. 138P
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- Q3: Analyze the primary dimensions of the universal ideal gas constant Rµ using the ideal gas law, Pv = nR, T where P is pressure, v is volume, T is absolute temperature, and n is the number of moles of the gas.arrow_forwardIf possible, with slight explanation too, so i can fully understandarrow_forwardFor 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).arrow_forward
- 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_forwardYou will start by getting used to the idea of the linear mass density by relating it to concepts you are already familiar with: the mass and the (volume mass) density.* First, you have a column of pure water that has a density PH₂0 = 1 g/cc. The water column is in a cylinder. The column has cross-sectional area 31 cm² and height 75 cm before salt is added. The linear mass density has two different definitions. One is going up in dimensionality, that is from the volume mass density p to the linear mass density λ = PA where A is the cross-sectional area of the object. The other is going down in dimensionality, that is from the mass down to the linear mass density λ = M H where H is the height of the column in our case. You will use both of these below: (a) What is the linear mass density of the water column? ÅH20 = (b) What is the mass of the water? M = Let's now try this after adding salt to the water. When we do, the column's height rises to a level 78 cm, and we measure its salinity…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_forward
- 3 kg of nitrogen (ideal gas) undergo the evolutions appearing in Figure 1. Evolution 1-2 is linear and evolution 2-3 is parabolic. Knowing that in the initial state T1 = 200° C, determine: a) the pressure, volume and temperature for each state, b) the work done between 1 and 3, c) the heat exchanged between 1 and 3arrow_forwardAn 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_forward
- THERMODYNAMICS TOPIC: FIRST LAW OF THERMO/THERMODYNAMIC SYSTEM PLEASE ANSWER COMPLETELY THE QUESTION IN HANDWRITING AND SUPPORT YOUR SOLUTION WITH DIAGRAMS. THANK YOUarrow_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_forward
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