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CHE3123 Chap16BW - Chapter 16 Differential Equations of...

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Chapter 16 -- Differential  Equations of Heat Transfer First law of Thermodynamics is stated in  Thermo texts as dU  =  dq     –      dw internal heat added work done energy to body by body
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For systems where mass flows in and out,  W,W&W expand this equation to the form δ Q     δ W s       δ W μ      ∫ ∫ c.s . (e + P/ ρ ρ (v.n)dA dt      dt       dt            c.v.  e  ρ  dV    t In words this is (see eq 6-7)
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rate of addition       rate of work done of heat to control      by control volume volume from its       on its surroundings  surroundings = rate of energy       rate of energy out  of control      into control volume volume due to       due to fluid flow fluid flow rate of accumulation of energy within control volume
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In the equation, Q = heat transferred (joules) W s  = shaft work W μ
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