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The phrase "as a function of the flow" is correct and usable in written English.
It can be used in contexts where you are discussing how one variable or outcome changes in relation to the flow of something, such as fluid dynamics or data processing.
Example: "The pressure in the system varies as a function of the flow, indicating the efficiency of the pump."
Alternatives: "in relation to the flow" or "depending on the flow".
Exact(27)
For suspensions that did not seal the fractures, we determined the pressure drop as a function of the flow rate.
We present a theory for predicting the effective sample composition in the illuminated volume as a function of the flow rate, light intensity, and spectral characteristics of the photolabile species.
The retention times and the band broadening of naphtho[2,3-a]pyrene were measured for each column as a function of the flow rate applied.
Steady-state images of the mixed cross-sectional area are compared with the theory as a function of the flow parameters.
The global heat flux released by the exothermal reaction is measured as a function of the flow rate and the reaction enthalpy is deduced.
Combined with the general equation of the model, they allow an estimation of the pressure drop as a function of the flow velocity.
Similar(33)
We develop an expression for the effective uniform strain rate as a function of the flow-imposed strain and the adiabatic flame temperature.
Correlations of Kga as a function of the gas/liquid flow rates, and also as a function of the gas flow rate and initial droplets SMD are developed.
The heat removal rate increases as a function of the air flow rate.
As a function of the SiH4 flow rate.
Figures13 andepictpicthehe throughput as a function of the number of flows.
More suggestions(15)
as a function of the convergence
as a function of the number
as a function of the deposition
as a function of the segment
as a function of the input
as a function of the catalyst
as a function of the packet
as a result of the flow
as a function of the roughness
as a function of the noise
as a function of the tail
as a function of the operating
as a function of the channel
as a maturation of the flow
as a function of the degree
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com