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 TITLE   :   3D TURBULENT GAS FLOW IN AN ELBOW METER
   BY      :   CHAM Consultancy Team: - M.R.Malin
   Date    :   1997                            PHOENICS Version: 3.1
   FOR     :   THE GAS INDUSTRY
   
THE PROBLEM CONSIDERED:
 - The flow of natural gas through an elbow meter located in a
     gas-transmission pipeline.
 
 - Elbow meters are often used in the gas industry as a flow-metering
     device when access to the pipeline is difficult, as for example in
     a compressor station.
 
 - The elbow meter exploits the basic principle that the mass flow
     rate through the pipe elbow is proportional to the pressure
     difference between the inside and outside of the pipe bend.
 
   
THE PROBLEM CONSIDERED (contd):
 - The purpose of the present calculation is to compute the pressure
     differential across the pipe bend for the specified mass flow rate.
 
 - The resulting pressure differential is then compared with that
     given by the flow-rate vs pressure-difference correlation used in
     the gas industry.
 
 - The measuring station is located 22.5 degrees into the pipe elbow.
 
   FLOW DETAILS:
 - 3D steady, incompressible, isothermal, turbulent flow
 
 - The inlet Reynolds number is 3.52E7. The pipe diameter is 0.89m, and
     the pipe bend is a sudden contraction with a diameter of 0.874m and
     a mean radius of curvature of 1.315m.
 
   FLOW DETAILS (contd):
 - The supply pressure is 44 bar, the fluid density is 35.35 kg/m^3,
     the volumetric flow rate is 8.57m^3/s, and the bulk velocity in
     the pipe elbow is 14.29m/s.
 
   COMPUTATIONAL DETAILS :
 - The turbulence is represented through use of the standard k-e
     model plus wall functions.
 
 - The calculations use a curvilinear BFC mesh with 20 circumferential,
     35 radial and 54 streamwise grid cells.
 
 - The GCV solver option is used with Cartesian-velocity components
     selected as dependent variables.
 
 - The MINMOD scheme is employed for the discretisation of the convection
     terms.
 
 - The Q1 for this case can be found in the BFC input library.
 
   RESULTS: