Archives: Solution Manual
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 […]