equation sheet 2 - university of notre damebolster/diogo_bolster/fluids_files/equation... ·...

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Equation Sheet 2 Reynold Transport Theorem Chapter 5 – Control Volume Analysis Conservation of Mass Conservation of Momentum Moment of Momentum Torque Power Work Per Unit Mass t VρdCV + V out ρ out A out V out V in ρ in A in V in = F contentsCV

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Page 1: Equation Sheet 2 - University of Notre Damebolster/Diogo_Bolster/Fluids_files/Equation... · Microsoft Word - Equation Sheet 2.docx Author: Didio Created Date: 4/4/2011 5:06:02 PM

Equation  Sheet  2    Reynold  Transport  Theorem    

   Chapter  5  –  Control  Volume  Analysis    Conservation  of  Mass    

   Conservation  of  Momentum  

       

Moment  of  Momentum    

   Torque  

   Power  

 Work  Per  Unit  Mass  

       

∂∂t

Vρd∀CV∫ + Voutρout∑ AoutVout − Vinρin∑ AinVin = FcontentsCV∑

Page 2: Equation Sheet 2 - University of Notre Damebolster/Diogo_Bolster/Fluids_files/Equation... · Microsoft Word - Equation Sheet 2.docx Author: Didio Created Date: 4/4/2011 5:06:02 PM

Energy  Equation    

   In  terms  of  head    

   Chapter  6      Volumetric  Rate  of  Dilatation    

     Vorticity      

   

   

     

Page 3: Equation Sheet 2 - University of Notre Damebolster/Diogo_Bolster/Fluids_files/Equation... · Microsoft Word - Equation Sheet 2.docx Author: Didio Created Date: 4/4/2011 5:06:02 PM

Strain  rate    

       Conservation  of  Mass    

   Cylindrial    

     Streamfunctions    

 

   

Page 4: Equation Sheet 2 - University of Notre Damebolster/Diogo_Bolster/Fluids_files/Equation... · Microsoft Word - Equation Sheet 2.docx Author: Didio Created Date: 4/4/2011 5:06:02 PM

 Navier  Stokes  Equations      

       Navier  Stokes  Equations  (Cylindrical)