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System and method for counting aerosol particles in atmosphere with respect to each particle size by appropriately setting ratio of flow rate of sample gas and sheath gas in DMA

  • US 9,534,998 B2
  • Filed: 09/06/2012
  • Issued: 01/03/2017
  • Est. Priority Date: 09/07/2011
  • Status: Active Grant
First Claim
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1. A size-classified particle size distribution measuring method comprising:

  • (A) a step of, when a sample fluid containing charged aerosol particles and a clean fluid comprised of clean air are made to flow in a predetermined electric field and when the charged aerosol particles are classified in the electric field based on electrical mobility by using a Differential Mobility Analyzer, calculating a ratio of flow rate necessary for increasing accuracy of the classification, the ratio of flow rate being a ratio between a flow rate of the sample fluid and a flow rate of the clean fluid, the step comprising;

    (a) a procedure to decide a maximum number of charges on aerosol particles being measurement targets among the charged aerosol particles as a natural number x equal to or larger than 2;

    (b) a procedure to define electrical mobility which is ability of aerosol particles whose number of charges is 1 among the aerosol particles being the measurement targets to move in the electric field, as Zc(U) by using a voltage value U supplied to form the electric field;

    (c) a procedure to derive a first electrical mobility group and a second electrical mobility group based on x decided in the procedure (a), the first electrical mobility group including the electrical mobility Zc(U) and electrical mobilities expressed with voltage values equal to the voltage value U multiplied by values from 2 to x respectively, and the second electrical mobility group including electrical mobilities expressed with respective voltage values equal to the voltage value U multiplied by irreducible fractions which are coprime to each other among values with regularity which are x/(x−

    1), x/(x−

    2), . . . , x/2, (x−

    1)/(x−

    2), (x−

    1)/(x−

    3), . . . , (x−

    1)/2, (x−

    2)/(x−

    3), (x−

    2)/(x−

    4), . . . , (x−

    2)/2, . . . , and 3/2;

    (d) a procedure to express each of the electrical mobilities by using Zc(U) defined in the procedure (b), regarding all the electrical mobilities included in the first electrical mobility group and the second electrical mobility group derived in the procedure (c);

    (e) a procedure to, if a range where a given electrical mobility is variable by adjusting the ratio between the flow rates of the sample fluid and the clean fluid which are made to flow in the electric field is defined as a range corresponding to the electrical mobility, define the ranges corresponding to all the electrical mobilities included in the first electrical mobility group and the second electrical mobility group derived in the procedure (c), after the procedure (d); and

    (f) a procedure to calculate the ratio between the flow rate of the sample fluid and the flow rate of the clean fluid, with which the ranges corresponding to the electrical mobilities included in the first electrical mobility group, which ranges are defined in the procedure (e), do not interfere with one another and the ranges corresponding to the electrical mobilities included in the first electrical mobility group and the ranges corresponding to the electrical mobilities included in the second electrical mobility group do not interfere with one another, whereby the sample fluid and the clean fluid are made to flow in the electric field at respective flow rates whose ratio is the calculated ratio;

    (B) a step of putting aerosol particles into a charged equilibrium state;

    (C) a step of classifying the aerosol particles charged in the step (B) in the predetermined electric field based on the electrical mobility while making the sample fluid containing the aerosol particles charged in the step (B) and the clean fluid comprised of clean air flow in the electric field based on the ratio of flow rate calculated in the step (A), the step (C) being a step of initially setting a reference voltage supplied to form the electric field to the voltage value U used for classifying aerosol particles with a predetermined particle size whose number of charges is 1, and executing a first classifying of the aerosol particles under the supplied voltage having the initially set voltage value U;

    (D) a step of measuring the aerosol particles classified out in the step (C), by an electrical or/and optical measuring method and outputting a result of the measurement as a first measurement result M1; and

    (E) a step of re-setting the voltage supplied to form the electric field, and supplying the voltage having the re-set voltage value to execute re-classifying of the aerosol particles, the step comprising;

    (g) a procedure to re-set the voltage supplied to form the electric field to nU (the voltage value U multiplied by n) for an nth classifying which is a sum of the voltage value of the voltage supplied in a previous classifying (previous value) and the voltage value U, and supply the voltage having the re-set voltage value to execute the re-classifying of the aerosol particles based on an electrical mobility Zc(nU);

    (h) a procedure to output a new measurement result Mn which is the re-measurement result of the aerosol particles that are classified out, every time the re-classifying is executed in the procedure (g);

    (i) a procedure to calculate a ratio of the measurement result Mn, which is output in the procedure (h), to the first measurement result M1; and

    (j) a procedure to, when the ratio calculated in the procedure (i) is larger than a prescribed value, execute the procedures (g), (h), and (i), and when the ratio calculated in the procedure (i) is equal to or smaller than the prescribed value, calculate the number of the aerosol particles with respect to each particle size from the measurement result to output a particle size distribution based on a charging probability for the aerosol particles to be charged in the step (B).

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