C9_Energy_Transfer_Mechnisms

C9_Energy_Transfer_Mechnisms - Mechanisms of Energy...

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Mechanisms of Energy Transfer Mechanisms of energy transfer Energy transfer by heat (molecular scale) - Conduction - Radiation (not considered in this course) Energy transfer by works (molecular and continuum scales) - Work done by viscous force per unit area - Work done by pressure force per unit area - Work done by gravitational force per unit volume Energy transfer by convection (continuum scale) - Fluid (kinetic and internal) energy carried by mass flow per unit area () 3 11 2 2 33 1 . v ii i i i Wu u u ττ τ = == + + τ u δ p Wp = u ( ) . ρ ug ˆ K E EU ρρ =+ uu
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Mechanisms of Energy Transfer Mechanisms of energy transfer A combination of energy fluxes: Enthalpy H () ˆ ˆˆ ˆ ( ) p KK K K H EE p WE U p U E Up v E H ρρ ρ ⎡⎤ ⎛⎞ += + + = + + ⎢⎥ ⎜⎟ ⎝⎠ ⎣⎦ =+ + = + uu u ±²³ 00 0 Since ˆ ˆ ˆ ˆ ˆ (,) HH p pT T H H H p T dH dT dp H H C dT dp Tp p ∂∂ =⇒ = + = + ∫∫ for constant ˆ ( ) ˆ for ideal (, ) ˆ as g UT p HT p RT υ + = + 0 ˆ 0 ˆ for T-ind ependence of ˆ H pp H p CdT C T T C
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C9_Energy_Transfer_Mechnisms - Mechanisms of Energy...

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