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Fluid exists between cylinders as shown. The outer cylinder is rotating at an angular velocity , and the inner cylinder is still stationary. Solve the following questions. (1)Calculate the velocity u(r) in the direction . (2) Calculate the temperature distribution T(r) when the temperature of the inner cylindrical surface is T1 and the temperature of the outer cylindrical surface is T2. In the presence of a fluid with high viscosity, heat called viscous dissipation is generated. Take this into consideration and calculate. (3) If the outside temperature is Ta and the heat transfer coefficient is h, find the temperature T2 The cylindrical Navier-Stokes equation is as follows. (tue+urrur+ruoutruo2+uzzur)=rp+[r(r1r(rur))+r2122urr21uo+z22ur]+gr(tuo+urruo+ruouo+ru1uo+utzuo)=p+[r(r1r(ru))+r2122uo+r22ur+z22uo]+g(tue+urrut+ruus+uzzue)=zp+[r1r(rrue)+r2122uz+z22ut+gz The cylindrical energy equation is as follows. Cp(tT+urrT+ruT+uzzT)=[r1r(rqr)+r21q+zqz](lnTln),DtDp(:V)qr=kdrdT,DtDp=tp+urrp+rup+uzzp Viscous dissipation is defined as follows. (:V)=2[(rur)2+(r1u+rur)2+(zui)2]+[rr(ru)+r1rur]2+[r1ut+zu]2+[zur+ruz]232[r1r(rur)+r1u+zue]2 u=(12)[rr2R2] (2) kr1drd(rdrdT)+(12)2424R4r41=0 (3) N=k(T2T1)2R2(12)24