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A pipe is used for transporting boiling water in which the inner surface is at 100°C. The pipe is situated in surroundings where the ambient temperature is 10°C and the convection heat transfer coefficient is 70 W/m2 ⋅K. The wall thickness of the pipe is 3 mm, and its inner diameter is 30 mm. The pipe wall has a variable thermal conductivity given as

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Chapter 2 Solutions
HEAT+MASS TRANSFER:FUND.+APPL.
- Determine the magnitudes of the reactions at the supports for this large plate.arrow_forwardOnly expert should solvearrow_forwardA 15 cm-OD pipe is buried with its centerline 1.25 m below the surface of the ground [k of soil is 0.35 W/(m K)]. An oil having a density of 800 kg/m³ and a specific heat of 2.1 kJ/(kg K) flows in the pipe at 5.6 L/s. Assuming a ground surface temperature of 5°C and a pipe wall temperature of 95°C, estimate the length of pipe in which the oil temperature decreases by 5.5°C. + Tε = 5ºC Z= 1.25 m D= 15 cm 7p=95°Carrow_forward
- Find the solution of the following Differential Equations 1) 4y+y=0, y(0)=2, y'(0) = 0. 2) y+y=0, y(0) = A, y'(0) = B. 3) "+2y'-8y=0, y(0)=1, y'(0)=8. 4) y"-2y-3y=0, y(0)=1, y'(0)=7. 5) y"-ky' =0, y(0)=2, y'(0) =k. 6) y+ky'-2k2y=0, y(0)=2, y'(0) = 2k. 7) y'+4y=0, y(0)=2.8 y+y-17sin(21) y(0)=-1. 9) y-y'-6y=0, y(0)=6. y'(0)=13. 10) y-y=0, 11) y"-4y+4y=0, y(0)=4, y'(0) = 0. y(0) = 2.1, y'(0)=3.9 12) y+2y+2y=0, y(0)=1, y'(0)=-3. 13) "+7y+12y=21e", y(0)=3.5, y'(0)=-10. 14) "+9y=10e", y(0)=0. y'(0) = 0. 15) y+3y+2.25y=91³ +64. y(0)=1, y'(0) = 31.5 16) "-6y+5y= 29 cos(21), y(0)=3.2, y'(0) = 6.2 17) y+2y+2y=0, y(0)=0, y'(0)=1. 18) y+2y+17y=0, y(0)=0, y'(0)=12. 19) y-4y+5y=0, y(0)-1, y'(0) 2. 20) 9y-6y+y=0. y(0)=3, y'(0)=1. 21) -2y+10y=0, y(0)=3, y'(0)=3. 22) 4y-4y+37y=0, (0) 3. y(0) 1.5 23) 4y-8y+5y=0, (0)-0, y(0) 1. 24) y+y+1.25y=0, y(0) 1. y'(0) -0.5 25) y+y=2 cos(1). y(0) 2. y'(0) = 0. 26) -4y+3y=0, (0)-3, y'(0) = 7. 27) y+2y+y=e", y(0)-0. y'(0) = 0. 29) 28) y+2y-3y-10sinh(2),…arrow_forwardNote: Please provide a clear, step-by-step simplified handwritten working out (no explanations!), ensuring it is done without any AI involvement. I require an expert-level answer, and I will assess and rate based on the quality and accuracy of your work and refer to the provided image for more clarity. Make sure to double-check everything for correctness before submitting appreciate your time and effort!. Question:arrow_forward4. Block A and B are two different pieces of wood. Determine the minimum dimension for "a", if the shear stress of the wood is 50Mpa. The thickness of the wood is 30cm. 600N Aarrow_forward
- 1. Determine the reaction force at A. 60 kN 5 B 1 m 1 m- -1 m 4 3 m 30 kN marrow_forwardFind the Laplace Transform of the following functions 1) f() cos(ar) Ans. F(s)=7 2ws 2) f() sin(at) Ans. F(s)= s² + a² 3) f(r)-rcosh(at) Ans. F(s)= 2as 4)(t)=sin(at) Ans. F(s)= 2 5) f(1) = 2te' Ans. F(s)= (S-1) 5+2 6) (1) e cos() Ans. F(s) = (+2)+1 7) (1) (Acostẞr)+ Bsin(Br)) Ans. F(s)- A(s+a)+BB (s+a)+B 8) f()-(-)() Ans. F(s)= 9)(1)(1) Ans. F(s): 10) f(r),()sin() Ans. F(s): 11) 2 k 12) 0 13) 0 70 ㄷ.. a 2a 3a 4a 2 3 4 14) f(1)=1, 0<1<2 15) (1) Ksin(t) 0arrow_forward2. Determine the average normal stress developed in rod AB. The mass is 50kg and the diameter of the rod AB is 8mm. B 8 mmarrow_forward2.64 A 2.75-kN tensile load is applied to a test coupon made from 1.6-mm flat steel plate (E = 200 GPa, v = 0.30). Determine the resulting change in (a) the 50-mm gage length, (b) the width of portion AB of the test coupon, (c) the thickness of portion AB, (d) the cross-sectional area of portion AB. 2.75 kN A 12 mm 50 mm B 2.75 kNarrow_forwardProcedure:1- Cartesian system, 2(D)/(3)D,type of support2- Free body diagram3 - Find the support reactions4- If you find a negativenumber then flip the force5- Find the internal force3D\sum Fx=0\sum Fy=0\sum Fz=0\sum Mx=0\sum My=0\Sigma Mz=02D\Sigma Fx=0\Sigma Fy=0\Sigma Mz=05- Use method of sectionand cut the elementwhere you want to findthe internal force andkeep either side of thesectionarrow_forward3. The design of a pump and pipe system has been completed, except for the valves. The system is used to transpor10t water at 120°F through 2 nom sch 40 commercial steel pipe at a required flow rate of 85 gpm. Without the valves, the pump selected has the capability to overcome an additional 18 psi of pressure drop due to the valves and still provide the required flow rate. The pipe/valve joints are threaded. Determine how many 2-inch globe valves can be installed in this pump and pipe system.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
