[Paraview] Integrate Variables

[Andrew Roberts]

Hello,

I have a function for mass flowrate that I want to plot over a time period
DT. The velocity is time averaged per timestep dt, not the whole time
period, DT. In otherwords the number of timesteps is DT/dt.

mdot(T) = int_A (rho . u(T) . n . alpha(T)) dA

mdot(T) is the massflow rate over time (kg/s)
int_A () dA is the integral over the area of a slice through the domain
(m^2)
rho is the density of the particle phase and this is constant (kg/m^3)
u(T) is the time averaged velocity of the particle phase for a timestep of
dt and varies with time, T (m/s)
n is the unit vector normal to the area (-)
alpha is the time averaged volume fraction of the particle phase and also
varies with time T (-)

I think I am pretty sure that I can compute rho . u . n . alpha

My process in paraview:

Slice > Origin = 0, 0, 0, Normal = 0, 1, 0, Slice Type = Plane

This is the part in the brackets of the massflow rate equation. Mean just
means time averaged:

Calculator > abs(U1Mean_Y)*2900*alpha1Mean

Now I must integrate this over the area of the slice.

*** Is it correct to use the Filter > IntegrateVariables? ***

I then use PlotSelectionOverTime (which I'm pretty sure is right).

Kind regards,

Andrew
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