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ArashNaseri authored Feb 27, 2023
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# Empirical CPMA Transfer Function
This is a source code for a web-app that examine the actual transfer function for centrifugal particle mass analyzers.
This is a source code for a web-app that examine the empirical transfer function for centrifugal particle mass analyzers.


## Overview
Expand All @@ -12,29 +12,30 @@ If the width factor is greater than one (μ>1), it signifies that the CPMA trans
These two factors are determined through multivariate nonlinear functions that are fitted to TCPMA measurements. The functions take into account either the CPMA mass set point (mp), CPMA resolution (Rm), and CPMA flow rate (Q), or the CPMA rotational speed (ω) and voltage (V). If the CPMA flow rate is set to 0.3, 1.5, 4 or 8 LPM, the loss factor is directly calculated using the fitting function corresponding to the relevant CPMA flow rate. However, for other flow rates, the loss factor is derived through simple interpolation between the nearest lower and higher CPMA flow rates.

## Inputs
CPMA dimensions (Cambustion Ltd)
- Inner radius r1: 6cm
- Outer radius r2: 6.1 cm
- Length L: 20 cm

CPMA dimensions (Cambustion Ltd)-Fixed
- Inner radius r1: 6 [cm]
- Outer radius r2: 6.1 [cm]
- Length L: 20 [cm]
- ω2/ω1: 0.9696
- Angular speed ω rad/s or RPM
- Voltage in V
- Mass setpoint (m*) in fg
- Resolution Rm:


Set point mode
- Mass + Resolution + flow rate
- Mass set point (m_p) in fg
- m*[0.05, 100] in fg
- Mass set point (m*) ∈ [0.05, 100 fg]
- Resolution (Rm) ∈ [2, 15]
- Flow rate (Q) ∈ [0.3, 8] LPM
- Particle mass (mp) ∈ [-∞, +∞] fg
- Flow rate (Q) ∈ [0.3, 8] [LPM]
- Angular speed + Voltage + flow rate
- Angular speed (ω) [rad/s]
- Voltage (V) [v]
- Flow rate (Q) ∈ [0.3, 8] [LPM]


Particle properties
- Mass mobility exponent (Dm)
- Effective density (ρeff,100) in kg/m3
- Effective density (ρeff,100) [kg/m3]
- Number of charge state (z)

- Particle mass (mp) ∈ [-∞, +∞] [fg]

## Results
The empirical CPMA transfer function is derived by incorporating width and height factors into an idealized triangular model, based on the provided inputs.

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