Sorry again: This ofc is wrong:
volflow(eta,0.05)=2*broadcast(+, eta.^2-eta.^4/2 , sum( broadcast(*, 
broadcast(/,2*eta,r.^2).*broadcast(-,broadcast(*,2./r,broadcast(/,besselj1(broadcast(*,r,eta)),besselj0(r))),eta)
 
, exp(-broadcast(*,r.^2,x_s))) , 3) )

correct:
volflow(eta)=vol_flow(eta,0.05)

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