Approximate analytical solutions to the condensation-coagulation equation of aerosols

Naftali R. Smith, Nir J. Shaviv, Henrik Svensmark

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We present analytical solutions to the steady state nucleation-condensation-coagulation equation of aerosols in the atmosphere. These solutions are appropriate under different limits but more general than previously derived analytical solutions. For example, we provide an analytic solution to the coagulation limit plus a condensation correction. Our solutions are then compared with numerical results. We show that the solutions can be used to estimate the sensitivity of the cloud condensation nuclei number density to the nucleation rate of small condensation nuclei and to changes in the formation rate of sulfuric acid.
Original languageEnglish
JournalAerosol Science and Technology
Volume50
Issue number6
Pages (from-to)578-590
ISSN0278-6826
DOIs
Publication statusPublished - 2016

Cite this

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title = "Approximate analytical solutions to the condensation-coagulation equation of aerosols",
abstract = "We present analytical solutions to the steady state nucleation-condensation-coagulation equation of aerosols in the atmosphere. These solutions are appropriate under different limits but more general than previously derived analytical solutions. For example, we provide an analytic solution to the coagulation limit plus a condensation correction. Our solutions are then compared with numerical results. We show that the solutions can be used to estimate the sensitivity of the cloud condensation nuclei number density to the nucleation rate of small condensation nuclei and to changes in the formation rate of sulfuric acid.",
author = "Smith, {Naftali R.} and Shaviv, {Nir J.} and Henrik Svensmark",
year = "2016",
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pages = "578--590",
journal = "Aerosol Science and Technology",
issn = "0278-6826",
publisher = "Taylor & Francis Inc.",
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Approximate analytical solutions to the condensation-coagulation equation of aerosols. / Smith, Naftali R.; Shaviv, Nir J.; Svensmark, Henrik.

In: Aerosol Science and Technology, Vol. 50, No. 6, 2016, p. 578-590.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Approximate analytical solutions to the condensation-coagulation equation of aerosols

AU - Smith, Naftali R.

AU - Shaviv, Nir J.

AU - Svensmark, Henrik

PY - 2016

Y1 - 2016

N2 - We present analytical solutions to the steady state nucleation-condensation-coagulation equation of aerosols in the atmosphere. These solutions are appropriate under different limits but more general than previously derived analytical solutions. For example, we provide an analytic solution to the coagulation limit plus a condensation correction. Our solutions are then compared with numerical results. We show that the solutions can be used to estimate the sensitivity of the cloud condensation nuclei number density to the nucleation rate of small condensation nuclei and to changes in the formation rate of sulfuric acid.

AB - We present analytical solutions to the steady state nucleation-condensation-coagulation equation of aerosols in the atmosphere. These solutions are appropriate under different limits but more general than previously derived analytical solutions. For example, we provide an analytic solution to the coagulation limit plus a condensation correction. Our solutions are then compared with numerical results. We show that the solutions can be used to estimate the sensitivity of the cloud condensation nuclei number density to the nucleation rate of small condensation nuclei and to changes in the formation rate of sulfuric acid.

U2 - 10.1080/02786826.2016.1168921

DO - 10.1080/02786826.2016.1168921

M3 - Journal article

VL - 50

SP - 578

EP - 590

JO - Aerosol Science and Technology

JF - Aerosol Science and Technology

SN - 0278-6826

IS - 6

ER -