EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
9th Edition
ISBN: 9781119321453
Author: Sonntag
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 3, Problem 3.90P
Supetheated refrigerant R-134a at 20°C and 100 kPa is cooled in a piston cylinder arrangement at constant temperature to a final two- phase state with quality of
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You are working as an engineer in a bearing systems design company. The flow of
lubricant inside a hydrodynamic bearing (µ = 0.001 kg m¯¹ s¯¹) can be approximated
as a parallel, steady, two-dimensional, incompressible flow between two parallel plates.
The top plate, representing the moving part of the bearing, travels at a constant speed,
U, while the bottom plate remains stationary (Figure Q1). The plates are separated by
a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By
applying the above approximations to the Navier-Stokes equations and assuming that
end effects can be neglected, the horizontal velocity profile can be shown to be
U
y = +h
У
2h = 1 cm
1
x1
y=-h
u(y)
=
1 dP
2μ dx
-y² + Ay + B
moving plate
-
U
stationary plate
2
I2
L = 10 cm
Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm,
into the page.
(a) By considering the appropriate boundary conditions, show that the constants take
the following forms:
A =
U
2h
U
1 dP…
Question 2
You are an engineer working in the propulsion team for a supersonic civil transport
aircraft driven by a turbojet engine, where you have oversight of the design for the
engine intake and the exhaust nozzle, indicated in Figure Q2a. The turbojet engine can
operate when provided with air flow in the Mach number range, 0.60 to 0.80. You are
asked to analyse a condition where the aircraft is flying at 472 m/s at an altitude of
14,000 m. For all parts of the question, you can assume that the flow path of air through
the engine has a circular cross section.
(a)
normal
shock
472 m/s
A B
(b)
intake
engine
altitude: 14,000 m
D
exhaust nozzle→
exit to
atmosphere
472 m/s
50 m/s
B
diameter: DE = 0.30 m
EX
diameter: DF = 0.66 m
Figure Q2: Propulsion system for a supersonic aircraft.
F
a) When the aircraft is at an altitude of 14,000 m, use the International Standard
Atmosphere in the Module Data Book to state the local air pressure and tempera-
ture. Thus show that the aircraft speed of…
given below:
A rectangular wing with wing twist yields the spanwise circulation distribution
kbV1
roy) = kbv. (2)
where k is a constant, b is the span length and V. is the free-stream velocity. The wing has an
aspect ratio of 4. For all wing sections, the lift curve slope (ag) is 2 and the zero-lift angle of
attack (a=0) is 0.
a. Derive expressions for the downwash (w) and induced angle of attack a distributions
along the span.
b. Derive an expression for the induced drag coefficient.
c. Calculate the span efficiency factor.
d. Calculate the value of k if the wing has a washout and the difference between the
geometric angles of attack of the root (y = 0) and the tip (y = tb/2) is:
a(y = 0) a(y = ±b/2) = /18
Hint: Use the coordinate transformation y = cos (0)
Chapter 3 Solutions
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
Ch. 3 - What is 1cal in SI units and what is the name...Ch. 3 - A car engine is rated at 110kW . What is the power...Ch. 3 - Why do we write E or E2E1 , whereas we write 1Q2...Ch. 3 - If a process in a control mass increases energy...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - A thermopane window traps some gas between the two...Ch. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - The electric bill is calculating usage in kWh....Ch. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - You heat a gas 10K at P=C . Which one in Table A.5...Ch. 3 - You mix 20C water with 50C water in an open...Ch. 3 - A piston motion moves a 25kg hammerhead vertically...Ch. 3 - A pump pushes 1000m3 of liquid water at 15C up to...Ch. 3 - Prob. 3.26PCh. 3 - A 1200kg car accelerates from zero to 100km/h over...Ch. 3 - A hydraulic hoist raises a 1750kg car 1.8m in an...Ch. 3 - Prob. 3.29PCh. 3 - A hydraulic cylinder of area 0.01m2 must push a...Ch. 3 - A hydraulic cylinder has a piston cross-sectional...Ch. 3 - Prob. 3.32PCh. 3 - A bulldozer pushes 800kg of din l00m with a force...Ch. 3 - Two hydraulic cylinders maintain a pressure of...Ch. 3 - A motor delivers 50hp on a drive shaft at 1800rpm...Ch. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Heat transfer to a 1.5kg block of ice at -10C...Ch. 3 - A cylinder fitted with a frictionless piston...Ch. 3 - A piston cylinder contains 2kg of water at 20C...Ch. 3 - A nitrogen gas goes through a polytropic process...Ch. 3 - Helium gas expands from 125kPa,350K and 0.25m3 to...Ch. 3 - Prob. 3.46PCh. 3 - A balloon behaves so that the pressure is P=C2V1/3...Ch. 3 - A 15cm thick concrete wall, k=1.28W/mK , has a...Ch. 3 - The brake shoe and steel drum of a car...Ch. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - A power plant condenser (heat exchanger) transfers...Ch. 3 - Prob. 3.53PCh. 3 - A steel Pot, with conductivity of 15W/m and a 50mm...Ch. 3 - Prob. 3.55PCh. 3 - A wall surface on a house is 30C with an...Ch. 3 - A radiant heat lamp is a rod, tong and in diameter...Ch. 3 - A radiant beating lamp has a surface temperature...Ch. 3 - Determine the phase of the following substances...Ch. 3 - Find the phase and the missing properties of P, T,...Ch. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Find the missing property of P, T, y, u, h, and x...Ch. 3 - Find the missing properties for carbon dioxide at...Ch. 3 - Find the missing property of P, T, y, u, h, and x...Ch. 3 - Saturated liquid water at 20C is compressed to a...Ch. 3 - Prob. 3.67PCh. 3 - Consider a steel bottle as a CV. It contains...Ch. 3 - A piston cylinder contains water with quality 75...Ch. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - Saturated vapor R410A at 0C in a rigid tank is...Ch. 3 - A constant-pressure piston/cylinder assembly...Ch. 3 - A container is split in two equal volumes by a...Ch. 3 - Prob. 3.75PCh. 3 - A cylinder fined with a frictionless piston...Ch. 3 - A piston/cylinder contains 1.5kg of water at...Ch. 3 - Prob. 3.78PCh. 3 - Ammonia (0.5kg) in a piston cy1tnde at 200kPa,10C...Ch. 3 - Prob. 3.80PCh. 3 - A rigid 1kg steel tank holds 0.75kg ammonia at 70C...Ch. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Prob. 3.84PCh. 3 - Prob. 3.85PCh. 3 - A rigid steel tank contains 0.5kgR410A at 0°C with...Ch. 3 - Redo the previous problem when you also consider...Ch. 3 - Prob. 3.88PCh. 3 - Prob. 3.89PCh. 3 - Supetheated refrigerant R-134a at 20°C and 100 kPa...Ch. 3 - In a sink, 5 L of water at 70°C is combined with 1...Ch. 3 - Prob. 3.92PCh. 3 - Prob. 3.93PCh. 3 - Prob. 3.94PCh. 3 - A car with mass 1275 kg is driven at 60 km h when...Ch. 3 - A piston cylinder (0.5 kg steel altogether)...Ch. 3 - Prob. 3.97PCh. 3 - Prob. 3.98PCh. 3 - Use the ideal gas air A.7 to evaluate the specific...Ch. 3 - Prob. 3.100PCh. 3 - Find the change in u for carbon dioxide between...Ch. 3 - Nitrogen at 300 K. 3 MPa is heated to 500 K Find...Ch. 3 - Prob. 3.103PCh. 3 - Prob. 3.104PCh. 3 - Find the change in enthalpy for carbon dioxide...Ch. 3 - Water at 20°C and 100 kPa is brought to l00 kPa...Ch. 3 - Prob. 3.107PCh. 3 - A rigid container has 2 kg of oxygen gas at l00...Ch. 3 - Prob. 3.109PCh. 3 - Prob. 3.110PCh. 3 - Prob. 3.111PCh. 3 - A cylinder with a piston restrained by a linear...Ch. 3 - A constant pressure container is filled with 1 kg...Ch. 3 - A spring-loaded piston cylinder contains 1.5kg of...Ch. 3 - Prob. 3.115PCh. 3 - Prob. 3.116PCh. 3 - Helium gas expands from 125 kPa, 350 K and 0.25m3...Ch. 3 - A piston cylinder device contains 0.1 kg of air at...Ch. 3 - A gasoline engine has a piston/cylinder with 0.1...Ch. 3 - Solve the previous problem using Table A.7.Ch. 3 - Prob. 3.121PCh. 3 - Prob. 3.122PCh. 3 - A piston/cylinder assembly has 1 kg of propane gas...Ch. 3 - A piston cylinder arrangement of initial volume...Ch. 3 - Prob. 3.125PCh. 3 - Prob. 3.126PCh. 3 - Air goes through a polytropic process with n=1.3...Ch. 3 - Saturated vapor R410A at 10°C of mass 0.6 kg is in...Ch. 3 - A helium gas heated at constant volume from 100...Ch. 3 - Prob. 3.130PCh. 3 - Prob. 3.131PCh. 3 - Prob. 3.132PCh. 3 - Prob. 3.133PCh. 3 - Prob. 3.134PCh. 3 - Prob. 3.135PCh. 3 - Prob. 3.136PCh. 3 - Prob. 3.137PCh. 3 - Prob. 3.138PCh. 3 - Prob. 3.139PCh. 3 - Prob. 3.140PCh. 3 - Prob. 3.141PCh. 3 - Prob. 3.142PCh. 3 - Prob. 3.143PCh. 3 - As fresh-poured concrete hardens, the chemical...Ch. 3 - A 1.2-kg pot of water at 20°C is put on a stove...Ch. 3 - A computer in a closed room of volume 200m3...Ch. 3 - A 500-W heater is used to melt 2 kg of solid ice...Ch. 3 - A 3-kg mass of nitrogen gas at 2000 K, V=C , cools...Ch. 3 - Prob. 3.149PCh. 3 - Electric power as volts times amperes (P=Vi) ....Ch. 3 - A copper wire of diameter 2 mm is 10m long and...Ch. 3 - Prob. 3.152PCh. 3 - A battery is well insulated while being charged by...Ch. 3 - Prob. 3.154PCh. 3 - Assume a balloon material with a constant surface...Ch. 3 - A soap bubble has a surface tension of =3104N/cm...Ch. 3 - According to Table 3.4 residential buildings in US...Ch. 3 - total energy use in the US from Table 3.4 for 2011...Ch. 3 - Prob. 3.159PCh. 3 - A wind turbine with 20m diameter rotors spins at...Ch. 3 - Prob. 3.161PCh. 3 - Prob. 3.162PCh. 3 - A house is being designed to use a thick concrete...Ch. 3 - A solar pond with 20°C salt water, Cp=3.8kJ/kg-K...Ch. 3 - Prob. 3.165PCh. 3 - Prob. 3.166PCh. 3 - Prob. 3.167PCh. 3 - Prob. 3.168PCh. 3 - Prob. 3.169PCh. 3 - Prob. 3.170PCh. 3 - Prob. 3.171PCh. 3 - Prob. 3.172PCh. 3 - A piston cylinder has 0.1 kg water at x=0.5 ,...Ch. 3 - Prob. 3.174PCh. 3 - A piston/cylinder arrangement has the piston...Ch. 3 - Prob. 3.176PCh. 3 - Prob. 3.177PCh. 3 - Prob. 3.178PCh. 3 - Prob. 3.179PCh. 3 - Prob. 3.180PCh. 3 - Prob. 3.181PCh. 3 - Prob. 3.182PCh. 3 - A spherical balloon contains 2 kg of R-410A at 0°C...Ch. 3 - Prob. 3.184PCh. 3 - Prob. 3.185EPCh. 3 - Work as Fx has units of lbf ft. What is that in...Ch. 3 - Work in the expression in Eq. 3.18 or Eq. 3.22...Ch. 3 - Prob. 3.188EPCh. 3 - Prob. 3.189EPCh. 3 - You heat a gas 20 R at P=C . Which gas in Table...Ch. 3 - A piston motion moves a 50-lbm hammerhead...Ch. 3 - A pump pushes 35000ft3 of liquid water at 60 F up...Ch. 3 - Prob. 3.193EPCh. 3 - Prob. 3.194EPCh. 3 - Prob. 3.195EPCh. 3 - Prob. 3.196EPCh. 3 - Prob. 3.197EPCh. 3 - A car with tires of outer radius 12 in. drives...Ch. 3 - Prob. 3.199EPCh. 3 - Prob. 3.200EPCh. 3 - A nitrogen gas goes through apolytropic process...Ch. 3 - Prob. 3.202EPCh. 3 - Find the rate of conduction heat transfer per unit...Ch. 3 - The sun shines on a 1500-ft2 road surface so that...Ch. 3 - Prob. 3.205EPCh. 3 - Prob. 3.206EPCh. 3 - Prob. 3.207EPCh. 3 - Saturated vapor R-410A at 60 F in a rigid tank is...Ch. 3 - A containeris split in two equal volumes by a...Ch. 3 - Saturated vapor R-410A at 200 psia in a...Ch. 3 - A cylinder fitted with a frictionless piston...Ch. 3 - Prob. 3.212EPCh. 3 - Prob. 3.213EPCh. 3 - Prob. 3.214EPCh. 3 - Prob. 3.215EPCh. 3 - Prob. 3.216EPCh. 3 - Prob. 3.217EPCh. 3 - Prob. 3.218EPCh. 3 - Prob. 3.219EPCh. 3 - Prob. 3.220EPCh. 3 - Prob. 3.221EPCh. 3 - Prob. 3.222EPCh. 3 - A closed rigid container is filled with 3 lbm...Ch. 3 - Prob. 3.224EPCh. 3 - Prob. 3.225EPCh. 3 - Helium gas expands from 20 psia, 600 R, and 9ft3...Ch. 3 - Prob. 3.227EPCh. 3 - A cylinder fitted with a frictionless piston...Ch. 3 - Prob. 3.229EPCh. 3 - Prob. 3.230EPCh. 3 - Prob. 3.231EPCh. 3 - Prob. 3.232EPCh. 3 - A force of 300 lbf moves a truck at a speed of 40...Ch. 3 - Prob. 3.234EPCh. 3 - Water is in a piston/cylinder maintaining constant...Ch. 3 - A mass of 6 lbm nitrogen gas at 3600 R, V=C ,...Ch. 3 - Prob. 3.237EPCh. 3 - Prob. 3.238EPCh. 3 - Ammonia is contained in a sealed, rigid tank at 30...Ch. 3 - Prob. 3.240EP
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