convection1 - CONVECTION AND MATTER TRANSPORT PROCESSES...

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CONVECTION AND MATTER TRANSPORT PROCESSES R EVIEW : C LOSED SYSTEM Simple substance i.e., no reacting components internal energy U = U(S,V,m) constant mass makes this a two-port capacitor — one port for each variable argument of the energy function displacements: S, -V flows: dS/dt, –dV/dt efforts: total differential of internal energy: dU = ( U/ S)dS + ( U/ V)dV = TdS – PdV. from this we identify efforts on the two ports as T, P Mod. Sim. Dyn. Sys. Convection and matter transport page 1
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O PEN SYSTEM : Mass may vary. Simple substance internal energy U = U(S,V,m) For convenience, work with molar units for mass. Rewrite in terms of moles using m = M N where N is number of moles (units of N: e.g. Kg-moles, pound-moles) M is molecular weight (for a non-reacting mixture like air, M is an equivalent molecular weight) Internal energy now has three variable arguments. U = U(S,V,N) Variable mass makes this a three-port capacitor. Mod. Sim. Dyn. Sys. Convection and matter transport page 2
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Generalized displacement associated with mass “port”: number of moles, N corresponding flow variable:
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.141 taught by Professor Nevillehogan during the Fall '06 term at MIT.

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convection1 - CONVECTION AND MATTER TRANSPORT PROCESSES...

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