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978-0073398198 Chapter 1 Part 1
1-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, 2020 Chapter 1 INTRODUCTION AND BASIC CONCEPTS PROPRIETARY AND CONFIDENTIAL This Manual is the proprietary property of McGraw-Hill Education […]
978-0073398198 Chapter 1 Part 2
W33 2 2=== e Q Then the thermal conductivity of the sample becomes C W/m.78.8 = = =⎯→⎯ === )C10)(m 001257.0( m) W)(0.0333( = m 001257.0 4 )m 04.0( 4 2 2 2 2 TA LQ k […]
978-0073398198 Chapter 1 Part 3
1-41 1-82 A spherical probe in space absorbs solar radiation while losing heat to deep space by thermal radiation. The incident radiation rate on the probe surface is to be determined. Assumptions 1 Steady operating conditions exist and surface temperature […]
978-0073398198 Chapter 1 Part 4
1-61 Solving Engineering Problems 1-108C (a) Despite the convenience and capability the engineering software packages offer, they are still just tools, and they will not replace the traditional engineering courses. They will simply cause a shift in emphasis in the […]
978-0073398198 Chapter 1 Part 5
( ) CW/m02 C20120)m 25.0( )( 2 2= − = − = TTA h s The surface temperature when the heater consumes 700 W is C160= +=+= )m 25.0(C)W/m02( W700 C20 22 hA Q TTs (b) Considering […]
978-0073398198 Chapter 10 Part 1
10-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, 2020 Chapter 10 BOILING AND CONDENSATION PROPRIETARY AND CONFIDENTIAL This Manual is the proprietary property of McGraw-Hill Education and […]
978-0073398198 Chapter 10 Part 2
10–21 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 10-28E Prob. 10-26E is reconsidered. The effect of surface temperature of the heating element on the boiling heat transfer coefficient, […]
978-0073398198 Chapter 10 Part 3
10–41 10-47E Water is boiled at 1 atm pressure and thus at a saturation (or boiling) temperature of Tsat = 212F by a horizontal polished copper heating element whose surface temperature is maintained at Ts = 988F. The rate of […]
978-0073398198 Chapter 10 Part 4
10–61 10–71 Saturated ammonia vapor condenses on a vertical ASTM A240 410S stainless steel plate at 190 kPa. The highest rate of condensation that can be produced by the plate, without cooling the plate below the minimum suitable temperature set […]
978-0073398198 Chapter 10 Part 5
10–81 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 10–90 Saturated propane vapor condenses on four ASTM A437 B4B stainless steel bolts that are arranged in a vertical tier. […]
978-0073398198 Chapter 10 Part 6
10-101 Single phase pressure drop for turbulent pipe flow (with superficial Reynolds number of Resl = 8537) is calculated by first calculating the single phase friction factor from either the Moody chart (Fig. A-20) or the Colebrook equation (Eq.8-76) as […]
978-0073398198 Chapter 10 Part 7
10-116 Noting that the tube is horizontal, the condensation heat transfer coefficient is determined from 1/4 *3 sph sat 1/4 2 3 3 3 3 3 2 () 0.815 () (9.81 m /s )(977.5 kg/m )(977.5 0.60 kg/m )(2435 10 […]
978-0073398198 Chapter 11 Part 1
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 11-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, […]
978-0073398198 Chapter 11 Part 2
11–21 )/ln( 21 TT Tlm = where outcouthincinhTTTTTT ,,2,,1 –= –= for parallel-flow heat exchangers and incouthoutcinhTTTTTT ,,2,, –= –= for counter-flow heat exchangers 11-36C The temperature difference between the two fluids decreases from T1 at the […]
978-0073398198 Chapter 11 Part 3
11–41 11-61E Steam is condensed by cooling water in a condenser. The rate of heat transfer, the rate of condensation of steam, and the mass flow rate of cold water are to be determined. Assumptions 1 Steady operating conditions exist. […]
978-0073398198 Chapter 11 Part 4
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 11–61 11–78 Ethyl alcohol is heated by water in a 2-shell passes and 8-tube passes heat exchanger. The heat transfer surface […]
978-0073398198 Chapter 11 Part 5
11–81 The capacity ratio of the 2nd heat exchangers is 32.0 5.3670 6.1174 max min 2=== C C c The effectiveness of 1st heat exchanger is, )10(0189.0 C10)W/K)(120(1761.8 C)10(W/K)5.3670( )( )( int, o o int, ,,min ,, max 1−= − […]
978-0073398198 Chapter 11 Part 6
11-101 The NTU of the heat exchanger is 9959.0 W/K22.53 )m 1)(K W/m53( NTU 22 min = == C UAs Using the equation listed in Table 11-4, the heat transfer effectiveness is 0.586= […]
978-0073398198 Chapter 11 Part 7
11-121 11-140 Water is to be heated by steam in a shell-and-tube process heater. The number of tube passes need to be used is to be determined. Assumptions 1 Steady operating conditions exist. 2 The heat exchanger is well-insulated so […]
978-0073398198 Chapter 11 Part 8
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 11-141 11-162 A hydrocarbon stream is heated by a water stream in a 2-shell passes and 4-tube passes heat exchanger. The […]
978-0073398198 Chapter 11 Part 9
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 11-154 5624.0 CkW/ 778.1 )m 50.0)(CkW/m 0.2( 22 min = == C UA NTU The effectiveness of this parallel-flow […]
978-0073398198 Chapter 12 Part 1
12-1 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, […]
978-0073398198 Chapter 12 Part 2
12–21 (c) The percentage of solar energy at wavelengths longer than visible is −2 f = 1 – 2 f = 1 – 0.550019 = 0.449981 ≈ 45% Discussion Approximately 45% of solar energy is infrared, about 43% visible, […]
978-0073398198 Chapter 12 Part 3
12–41 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 12–70 A radiometer is used to monitor the surface temperature of a CPCV pipe. The surface temperature of the CPVC […]
978-0073398198 Chapter 12 Part 4
12–61 the effective sky temperature is determined from an energy balance on water to be )()( 4 sky 4 surfaceair TTTTh s−=− and K 254.8=⎯→⎯ −=− − sky 4 44282 K) 273()K W/m1067.5(95.0)C0C4)(C W/m18( T Tsky Therefore, […]
978-0073398198 Chapter 12 Part 5
12–74 and 2/122 21 )( coscos LH H r H + === Then, the rate of radiation energy emitted by A1 in the direction of θ1 through the solid angle ω2-1 is determined by multiplying I1 by the area […]
978-0073398198 Chapter 13 Part 1
13-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, 2020 Chapter 13 RADIATION HEAT TRANSFER PROPRIETARY AND CONFIDENTIAL This Manual is the proprietary property of McGraw-Hill Education and […]
978-0073398198 Chapter 13 Part 2
13–21 Radiation Heat Transfer between Surfaces 13-28C The analysis of radiation exchange between black surfaces is relatively easy because of the absence of reflection. The rate of radiation heat transfer between two surfaces in this case is expressed as )( […]
978-0073398198 Chapter 13 Part 3
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 13–41 13-52 Two long parallel cylinders are maintained at specified temperatures. The rates of radiation heat transfer between the cylinders and […]
978-0073398198 Chapter 13 Part 4
13–61 13-71 Liquid NH3 flows in an insulated tube that is protected by a concentric shield. The surrounding temperature is to be determined so that the NH3 is maintained in the liquid state. Assumptions 1 Steady operating conditions exist. 2 […]
978-0073398198 Chapter 13 Part 5
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 13–81 13–93 A radiation shield is placed between two large parallel plates which are maintained at uniform temperatures. The emissivity of […]
978-0073398198 Chapter 13 Part 6
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 13-101 13-115 The temperature, pressure, and composition of combustion gases flowing inside long tubes are given. The rate of heat transfer […]
978-0073398198 Chapter 13 Part 7
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 13-121 13-143 A double-pane window consists of two sheets of glass separated by an air space. The rates of heat transfer […]
978-0073398198 Chapter 13 Part 8
13-134 13-155 Combustion gases flow inside a tube in a boiler. The rates of heat transfer by convection and radiation and the rate of evaporation of water are to be determined. Assumptions 1 Steady operating conditions exist. 2 The inner […]
978-0073398198 Chapter 14 Part 1
14-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, 2020 Chapter 14 MASS TRANSFER PROPRIETARY AND CONFIDENTIAL This Manual is the proprietary property of McGraw-Hill Education and protected […]
978-0073398198 Chapter 14 Part 2
14–21 14–45 A rubber plate is exposed to nitrogen. The molar and mass density of nitrogen in the rubber at the interface is to be determined. Assumptions Rubber and nitrogen are in thermodynamic equilibrium at the interface. Properties The molar […]
978-0073398198 Chapter 14 Part 3
14–41 14-67 Pure N2 gas is flowing through a rubber pipe. The rate at which N2 leaks out by diffusion is to be determined for the cases of vacuum and atmospheric air outside. Assumptions 1 Mass diffusion is steady and […]
978-0073398198 Chapter 14 Part 4
14–61 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 14–94 A layer of glucose is submerged under a deep layer of water. (a) The time required for the glucose […]
978-0073398198 Chapter 14 Part 5
14–81 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 14-117E The pressure in a carbon dioxide pipeline is maintained constant by venting to the atmosphere through a long tube. […]
978-0073398198 Chapter 14 Part 6
14-101 14-148 The liquid layer on the inner surface of a circular pipe is dried by blowing air through it. The mass transfer coefficient is to be determined. Assumptions 1 The low mass flux model and thus the analogy between […]
978-0073398198 Chapter 14 Part 7
14-121 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 14-165 Glass bottles are washed in hot water in an uncovered rectangular glass washing bath. The rates of heat loss […]
978-0073398198 Chapter 14 Part 8
14-137 14-181 Liquid toluene evaporates into air from the open-top of a cylindrical container. The concentration of toluene at a certain location is to be determined. Properties The molar mass of toluene is 92 kg/kmol. The diffusion coefficient of toluene […]
978-0073398198 Chapter 2 Part 1
2-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, 2020 Chapter 2 HEAT CONDUCTION EQUATION PROPRIETARY AND CONFIDENTIAL This Manual is the proprietary property of McGraw-Hill Education and […]
978-0073398198 Chapter 2 Part 2
2-21 2-59 The base plate of a household iron is subjected to specified heat flux on the left surface and to specified temperature on the right surface. The mathematical formulation, the variation of temperature in the plate, and the inner […]
978-0073398198 Chapter 2 Part 3
2-41 𝑇(𝑟1)=− 𝑇∞,1−𝑇∞,2 𝑘 𝑟1ℎ1+ln𝑟2 𝑟1+𝑘 𝑟2ℎ2(𝑘 𝑟1ℎ1+ln𝑟1 𝑟1)+𝑇∞,1 𝑇(𝑟1)=− (50−600)C 15 W mK (0.012 m)(50 W m2 K)+ln0.017 m 0.012 m +15 W mK (0.017 m)(30 W m2 K)[15 W mK (0.012 m)(50 W m2 K)] […]
978-0073398198 Chapter 2 Part 4
2-61 0 k dr r dr r or r k dr r dr −= Integrating the differential equation twice with respect to r yields 1 2 gen 2Cr k e dr dT […]
978-0073398198 Chapter 2 Part 5
2-81 Special Topic: Review of Differential equations 2-126C We utilize appropriate simplifying assumptions when deriving differential equations to obtain an equation that we can deal with and solve. 2-127C A variable is a quantity which may assume various values during […]
978-0073398198 Chapter 2 Part 6
2-95 2-156 A hollow pipe is subjected to specified temperatures at the inner and outer surfaces. There is also heat generation in the pipe. The variation of temperature in the pipe and the center surface temperature of the pipe are […]
978-0073398198 Chapter 3 Part 1
3-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, 2020 Chapter 3 STEADY HEAT CONDUCTION PROPRIETARY AND CONFIDENTIAL This Manual is the proprietary property of McGraw-Hill Education and […]
978-0073398198 Chapter 3 Part 10
3-172 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 3-219 A room at 20C air temperature is loosing heat to the outdoor air at 0C at a rate of […]
978-0073398198 Chapter 3 Part 2
3-21 3-37E A thin copper plate is sandwiched between two layers of epoxy boards. The effective thermal conductivity of the board along its 9 in long side and the fraction of the heat conducted through copper along that side are […]
978-0073398198 Chapter 3 Part 3
3-41 3-60 A wall is made of a composite stainless steel, copper-silicon, and nonmetal plates. A series of ASTM B21 naval brass bolts are bolted to a nonmetal plate. The upper surface is exposed to convection with air, while the […]
978-0073398198 Chapter 3 Part 4
3-61 𝑅3=1 ℎ𝐴or 𝐴𝑅3=1 ℎ=1 5 W/m2 K= 0.2 m2∙K/W 𝑅4=1 ℎrad𝐴or 𝐴𝑅4=1 ℎrad =1 2.761 W/m2 K= 0.36219 m2∙K/W The two parallel resistances R3 and R4 can be combined as an equivalent resistance Requiv: 1 𝐴𝑅equiv =1 […]
978-0073398198 Chapter 3 Part 5
3-81 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 3-97 Liquid H2 flows in a pipe, which is insulated. The insulation thickness on the pipe that is necessary to […]
978-0073398198 Chapter 3 Part 6
3-101 3-135 A DC motor draws electrical power and delivers mechanical power to rotate a stainless steel shaft. The surface temperature of the motor housing is to be determined. Assumptions1 Heat conduction is steady and one-dimensional. 2 Thermal properties are […]
978-0073398198 Chapter 3 Part 7
3-121 3-154 A thin-walled cylindrical container, filled with chemicals undergoing exothermic reaction, is buried in fresh snow. The reaction provides a uniform heat generation. The snow surface is maintained at a specified temperature. The container surface temperature is to be […]
978-0073398198 Chapter 3 Part 8
3-141 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 3-182 The summer and winter R–values of a masonry wall are to be determined. Assumptions 1 Steady operating conditions exist. […]
978-0073398198 Chapter 3 Part 9
3-161 3-202 A circuit board houses electronic components on one side, dissipating a total of 15 W through the backside of the board to the surrounding medium. The temperatures on the two sides of the circuit board are to be […]
978-0073398198 Chapter 4 Part 1
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 4-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, […]
978-0073398198 Chapter 4 Part 2
4-21 Since 0.1< Bi , the lumped system analysis is applicable. Then the time period for the thermocouple to read 99% of the initial temperature difference is determined from s 22.8=⎯→⎯=⎯→⎯= − − = === = − − […]
978-0073398198 Chapter 4 Part 3
4-41 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 4-57 ASTM A203 B steel plate is exposed to cryogenic fluid at T∞ = −50°C and h = 594 W/m2·K. […]
978-0073398198 Chapter 4 Part 4
4-61 4-79 Tomatoes are placed into cold water to cool them. The heat transfer coefficient and the amount of heat transfer are to be determined. Assumptions 1 The tomatoes are spherical in shape. 2 Heat conduction in the tomatoes is […]
978-0073398198 Chapter 4 Part 5
4-81 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 4-104 Thick stainless steel and copper slabs are subjected to an energy pulse. The temperatures of both slabs at the […]
978-0073398198 Chapter 4 Part 6
4-101 2487.0)05575.01)(2043.0(05575.0 maxmaxmaxmax =−+= wall plane cylinder long wall plane cylinder short Q Q Q Q Then the total heat transfer from the short cylinder as […]
978-0073398198 Chapter 4 Part 7
4-121 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 4-157 The surface temperature and heat flux with lava flow on the ground are to be determined. Assumptions 1 The […]
978-0073398198 Chapter 4 Part 8
4-132 Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 4-171 Carbon steel balls ( = 7830 kg/m3, k = 64 W/mC, cp = 434 J/kgC) initially at 200°C are […]
978-0073398198 Chapter 5 Part 1
5-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, 2020 Chapter 5 NUMERICAL METHODS IN HEAT CONDUCTION PROPRIETARY AND CONFIDENTIAL This Manual is the proprietary property of McGraw-Hill […]
978-0073398198 Chapter 5 Part 2
5-21 DiscussionThe ASME SB-96 copper-silicon plate is practically at a uniform temperature of 105°C. Therefore, it does not comply with the ASME Boiler and Pressure Vessel Code (ASME BPVC.IV-2015, HF-300). The code limits the use of equipment constructed with the […]
978-0073398198 Chapter 5 Part 3
5-41 The nodal temperatures for analytical and numerical solutions are tabulated in the following table: x, m T(x),°C Analytical Numerical 0 350.0 350.0 0.01 299.8 299.9 0.02 261.2 261.3 0.03 232.4 232.5 0.04 212.3 212.3 0.05 200.0 200.0 The comparison […]
978-0073398198 Chapter 5 Part 4
5-61 5-65 A square cross section is undergoing a steady two-dimensional heat transfer. The finite difference equations and the nodal temperatures are to be determined. Assumptions 1 Steady heat conduction is two-dimensional. 2 Thermal properties are constant. 3 There is […]
978-0073398198 Chapter 5 Part 5
5-81 (c) The rate of heat loss through a 1-m long section of the chimney is determined from W3402= +++= −+−+−+−= C247.3)/2]–(280228.7)–(280249.0)–(280250.5)/2–m)[(280 1 m C)(0.1 W/m75(4 )])(2/()()())(2/([4 2 9765 TTlhTTlhTTlhTTlh iiiiiiii Discussion The rate of heat transfer can also be […]
978-0073398198 Chapter 5 Part 6
PROPRIETARY MATERIAL. © 2020 McGraw-Hill Education. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. 5-101 5-106 A plane wall with no heat generation […]
978-0073398198 Chapter 5 Part 7
5-121 5-124 Prob. 5-123 is reconsidered. The temperature at the top corner as a function of heating time is to be plotted. Analysis The problem is solved using EES, and the solution is given below. “GIVEN” T_i=140 [C] k=15 [W/m-C] […]
978-0073398198 Chapter 5 Part 8
5-141 5-148E A plane wall in space is subjected to specified temperature on one side and radiation and heat flux on the other. The finite difference formulation of this problem is to be obtained, and the nodal temperatures under steady […]
978-0073398198 Chapter 6 Part 1
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 6-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, […]
978-0073398198 Chapter 6 Part 2
6-21 6-46 For air flowing over a flat plate at 5 m/s, the effect of plate location on the wall shear stress is to be determined. Assumptions 1 Isothermal condition exists between the flat plate and fluid flow. 2 Properties […]
978-0073398198 Chapter 6 Part 3
6-41 y kL dy 2 = .The heat flux at the upper surface is L V L kL V k dy dT kq Ly L 2 2 2 ==−= = Noting that heat transfer along the shaft is […]
978-0073398198 Chapter 6 Part 4
6-61 Discussion As the magnitude of the surface temperature gradient decreases along x, so does the value of the convection heat transfer coefficient. 0 0.1 0.2 0.3 0.4 0.5 0 20 40 60 80 100 120 x [m] hx [W/m2·K] […]
978-0073398198 Chapter 6 Part 5
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 6-74 6-105 For a specified temperature gradient, the Nusselt numbers associated with ambient air and nitrogen gas are to be determined. […]
978-0073398198 Chapter 7 Part 1
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, 2020 […]
978-0073398198 Chapter 7 Part 2
7-21 7-31 Ambient air flows over parallel plates of a solar collector that is maintained at a specified temperature. The rates of convection heat transfer from the first and third plate are to be determined. Assumptions 1 Steady operating conditions […]
978-0073398198 Chapter 7 Part 3
7-41 25 10257.8 /sm 10413.1 Re = == − L which is greater than the critical Reynolds number. Thus we have combined laminar and turbulent flow. Using the proper relation for Nusselt number, heat transfer coefficient and then […]
978-0073398198 Chapter 7 Part 4
7-61 /sm 10608.1 373134 /sm 10608.1 m) m/s)(32(Vx Re 25 x= = =− (flow is laminar at x = 3 m) At x = 1 m (constant Ts), the relation for local Nusselt number is 34.105)7282.0()124378(332.0PrRe332.0Nu […]
978-0073398198 Chapter 7 Part 5
7-81 7-83 A cylindrical electronic component mounted on a circuit board is cooled by air flowing across it. The surface temperature of the component is to be determined. Assumptions 1 Steady operating conditions exist. 2 Radiation effects are negligible. 3 […]
978-0073398198 Chapter 7 Part 6
7-101 Discussion The convection heat transfer coefficient increases with increasing H2 gas velocity. As the convection heat transfer coefficient increases, the time for the thermocouple to register 99% of the initial temperature difference decreases. To decrease the response time at […]
978-0073398198 Chapter 7 Part 7
7-121 7-121 The heat generated by four transistors mounted on a thin vertical plate is dissipated by air blown over the plate on both surfaces. The temperature of the aluminum plate is to be determined. Assumptions 1 Steady operating conditions […]
978-0073398198 Chapter 7 Part 8
7-136 7-136 A cylindrical rod is placed in a cross flow of air, (a) the average drag coefficient, (b) the convection heat transfer coefficient using the Churchill and Bernstein relation, and (c) the convection heat transfer coefficient using Table 7-1 […]
978-0073398198 Chapter 8 Part 1
8-1 Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, 2020 Chapter 8 INTERNAL FORCED CONVECTION PROPRIETARY AND CONFIDENTIAL This Manual is the proprietary property of McGraw-Hill Education and […]
978-0073398198 Chapter 8 Part 2
8-21 0.6 2.56 5.12 7.68 0.7 2.04 4.08 6.12 0.8 1.44 2.88 4.32 0.9 0.76 1.52 2.28 1 0 0 0 Discussion At the pipe wall (r/R = −1 and 1), the velocity is zero because of no-slip condition. 0 […]
978-0073398198 Chapter 8 Part 3
8-41 2 m 028.0)m 2.0)(m 14.0( == s A To determine heat transfer coefficient, we first need to find the Reynolds number, m 003944.0 m) 0.14+m 002.0(2 )m 00028.0(4 42 === P A Dc h 1010 /sm 10562.1 m) 944m/s)(0.003 […]
978-0073398198 Chapter 8 Part 4
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 8-61 8-78 Reconsider Prob. 8–77. Glycerin is being heated by flowing between two parallel 1-m wide plates with 12.5-mm spacing. Hydrogen […]
978-0073398198 Chapter 8 Part 5
8-81 Discussion (a) When the hot water exits the pipe at 60°C, the pipe’s outer surface temperature can be reduced to below 45°C by setting the mass flow rate for ṁ > 0.38 kg/s. (b) When the hot water exits […]
978-0073398198 Chapter 8 Part 6
8-101 8-111E A liquid mixture flowing in a tube with a square-edged inlet is subjected to uniform wall heat flux. The friction coefficient is to be determined. Assumptions Steady operating conditions exist. Properties The properties of the ethylene glycol-distilled water […]
978-0073398198 Chapter 8 Part 7
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 8-121 8-131E Air is flowing through a smooth thin-walled copper tube that is submerged in water; the necessary copper tube length […]
978-0073398198 Chapter 8 Part 8
8-134 8-144E Water flows through a concentric annulus tube with constant inner surface temperature and insulated outer surface, the length of the annulus tube is to be determined. Assumptions 1 Steady operating conditions exist. 2 Properties are constant. 3 Constant […]
978-0073398198 Chapter 9 Part 1
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. Solutions Manual for Heat and Mass Transfer: Fundamentals & Applications 6th Edition Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill Education, 2020 […]
978-0073398198 Chapter 9 Part 2
9-21 ft 5.0 4 44 ===== L L P Ls s . Then, 6 223 3-12 2 3 10598.8)7256.0( )/sft 101823.0( )ft 5.0)(R 75130)(R 001778.0)(ft/s 2.32( Pr )( = − = − =− cs LTTg Ra […]
978-0073398198 Chapter 9 Part 3
9-41 6 225 2 1000.8 )/sm 10608.1( = Then D Gr L L = =m 0912.0 )10099.1( )m 15.0(3535 4/174/1 Since 4/1 /35 L GrLD is satisfied, we can treat this vertical cylinder as a vertical […]
978-0073398198 Chapter 9 Part 4
9-61 kg/s 02023.0 kJ/kg 425 kJ/s 598.8 === fg h Q m and it will take hours 56.4==== s 996,202 kg/s 02023.0 kg 4107 m m t for the propane tank to empty. 9-66 A cylindrical propane tank […]
978-0073398198 Chapter 9 Part 5
9-81 Natural Convection inside Enclosures 9-89C We would recommend putting the hot fluid into the upper compartment of the container. In this case no convection currents will develop in the enclosure since the lighter (hot) fluid will always be on […]
978-0073398198 Chapter 9 Part 6
9-101 3– 1021.8 skg/m 100.355 R= == e For horizontal cylinder, the Grashof number with Lc = D is 10 2423 31–32 2 3 2 3 10296.1 /sm )8.971/10355.0( )m 15.0(K )40120)(K 10653.0)(m/s 81.9( )/( )()( Gr = […]
978-0073398198 Chapter 9 Part 7
9-121 225 2 10204.2)7286.0( )/sm 10594.1( Pr = =− Ra s 55.20 7286.0 492.0 1 )10204.2(387.0 825.0 Pr 492.0 1 Ra387.0 825.0 2 27/8 16/9 6/17 2 27/8 16/9 6/1 = […]
978-0073398198 Chapter 9 Part 8
Copyright ©2020 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 9-136 9-154 A spherical vessel is completely submerged in a large water-filled tank. The rates of heat transfer from the vessel […]