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Review: Energy balance Analysis E convection rnc t p m, inadl out.aa out, adv=mc T dx cony conv X X+dx Energy Balance Change in energy in the control volume energy input- work out energy in by advection energy carried out by advection (flow) OI P·ax+mc nnc T cony p m,x p m,x+dx 0 conT P dx- nnc dT. cony h(Ts-tm) m c Two Special Cases: 1. Constant surface heat flux 2. Constant surface temperature Heat Transfer Su Yongkang School of Mechanical EngineeringHeat Transfer Su Yongkang School of Mechanical Engineering # 9 Review: Energy Balance Analysis x x + dx Ein,adv  Eout,adv  Econvection  Energy Balance Change in energy in the control volume = energy input – work out + energy in by advection – energy carried out by advection (flow) or Two Special Cases: 1. Constant surface heat flux 2. Constant surface temperature E q P dx q dx E m c T E m c T conv conv conv out adv p m x dx in adv p m x =    =  = = + , , , ,      ( ) 0 0 , , s m p p m conv conv p m conv p m x p m x d x h T T m c P m c q P d x d T q P d x m c d T q P d x m c T m c T = −  = =    − =    + − +     
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