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ANALYSIS:The prescribed velocity and temperature profiles,(m/s and K,respectively)are ut=0.1[1-r] Tr)=344.8+75.0(rr)2-18.8(rr)4 (1,2) For incompressible flow with constant c in a circular tube,from Eq.8.27,the mean temperature and um the mean velocity,from Eq.8.8 are,respectively, aa (3,4) Substituting the velocity profile,Eq.(1),into Eq.(4)and integrating,find i)am Substituting the profiles and uinto Eq.(3),find h-oeiseaseus-iae-oos)oe n=4348t,)+75otP-18to]-3486户+750t6户-1s8t。7a(6o) Tm=4172.40+18.75-3.13]-[86.20+12.50-2.35}=367K < The velocity and temperature profiles appear as shown below.Do the values of um and Tm found above compare with their respective profiles as you thought?Is the fluid being heated or cooled? 0.1 440 0.08 420 0.06 400 0.04 380 0.02 360 340 0 0.20.40.60.8 1 0 0.20.40.60.81 Radial coordinate,r/ro Radial coordinate,r/ro Heat Transfer #8 Su Yongkang School of Mechanical EngineeringHeat Transfer Su Yongkang School of Mechanical Engineering # 8
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