Degarmo's Materials And Processes In Manufacturing
Degarmo's Materials And Processes In Manufacturing
13th Edition
ISBN: 9781119492825
Author: Black, J. Temple, Kohser, Ronald A., Author.
Publisher: Wiley,
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Chapter 40, Problem 12RQ
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A 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°C
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),…
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