In blongworth/HybridGIS: Data, Functions, and Analysis for the NOSAMS Hybrid Gas Ion Source

library(here)
library(HybridGIS)

Calculated Flow rates

To model laminar flow in a capillary, Poiseuille's equation is used.

$$ Q = \frac{\Delta P \pi R^4}{8 \mu \Delta x} $$

Where $\Delta P$ is change in pressure (Pa ($\frac{kg}{m \cdot s^2}$)), $R$ is radius of pipe (m), $\mu$ is dynamic viscosity ( $P \cdot s$ ($\frac{kg}{s \cdot m}$)), and $\Delta x$ is the length of the pipe (m). Q is in $\frac{m^3}{s}$

The functions loaded above calculate flow using this equation and convert base units to more convenient flow in $\frac{\mu L}{min}$ and pressure in kPa.

Initial NOSAMS parameters

Initial tests used a 0.050mm x 8.2m deactivated silica caplillary. For this capillary, parameters for Poiseuille's equation are as follows:

r <- 2.5E-5
u <- 1.49E-5
x <- 8.2
flowcalc(100, r, u, x)

Parameters for published hybrid GIS systems

Calculate flow for Xu et al 2006...

flowcalc(1.500, 0.000125, u, 1.25)

Calculate flow for ETH...

flowcalc(15.6, 3E-5, u, 2)
flowcalc(31.3, 3E-5, u, 2)

Calculate flow for CAMS...

flowcalc(42, 7.5E-5, u, 6)

Calculate flow for Oxford...

flowcalc(200, 3E-5, u, 1.25)

Parameters for next USAMS tests

Short capillary at 1 atm

40um capillary

r <- 2E-5
u <- 1.49E-5
x <- 3.5
flowcalc(100, r, u, x)

r <- 2E-5
u <- 1.49E-5
x <- 2
flowcalc(100, r, u, x)

50um capillary

r <- 2.5E-5
u <- 1.49E-5
x <- 5
flowcalc(101, r, u, x)

75um capillary

r <- 3.75E-5
u <- 1.49E-5
x <- 2.8
flowcalc(101, r, u, x)

r <- 2.5E-5
u <- 1.49E-5
x <- 7
flowcalc(100, r, u, x)

r <- 5E-5
u <- 1.49E-5
x <- 3
flowcalc(20, r, u, x)

Low pressure 15 mbar

100um capillary

r <- 5E-5
u <- 1.49E-5
x <- 1.58
flowcalc(1.5, r, u, x)

Medium pressure 150mbar

75um capillary

r <- 3.75E-5
u <- 1.49E-5
x <- 4
flowcalc(15, r, u, x)

100um capillary

r <- 5E-5
u <- 1.49E-5
x <- 2.0
flowcalc(5, r, u, x)

Medium pressure 150mbar 100um x 1.58m PEEK capillary

r <- 5E-5
u <- 1.49E-5
x <- 1.58
flowcalc(20, r, u, x)

10x dillution

r <- 5E-5
u <- 1.49E-5
x <- 1.58
flowcalc(15, r, u, x)

Theoretical flows with pressure adjusted for best current.

r <- 5E-5
u <- 1.49E-5
x <- 1.58
flowcalc(60, r, u, x)

Actual performance of "100um"" x 1.58m PEEK capillary IF flow is ~10uL/min. Looks like true diameter after crimping is around 40um.

r <- 2.0E-5
u <- 1.49E-5
x <- 1.58
flowcalc(60, r, u, x)

CO2 quantities

Calculate CO2 needed for an analysis at given supply pressure.

blongworth/HybridGIS documentation built on Dec. 19, 2021, 10:41 a.m.