Approximate analytical solutions to the condensation-coagulation equation of aerosols

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

doi:10.1080/02786826.2016.1168921

Approximate analytical solutions to the condensation-coagulation equation of aerosols

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

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English
Pages (from-to)	578-590
Number of pages	13
Journal	Aerosol Science and Technology
Volume	50
Issue number	6
DOIs	https://doi.org/10.1080/02786826.2016.1168921
State	Published - 2 Jun 2016
Externally published	Yes

ASJC Scopus subject areas

Environmental Chemistry
General Materials Science
Pollution

Access to Document

10.1080/02786826.2016.1168921

Cite this

@article{33016fc89b4442ceadc0e5bf0f7265d8,

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",

note = "Publisher Copyright: {\textcopyright} 2016 American Association for Aerosol Research.",

year = "2016",

month = jun,

day = "2",

doi = "10.1080/02786826.2016.1168921",

language = "English",

volume = "50",

pages = "578--590",

journal = "Aerosol Science and Technology",

issn = "0278-6826",

publisher = "Taylor and Francis Ltd.",

number = "6",

}

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 - 2016/6/2

Y1 - 2016/6/2

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.

UR - http://www.scopus.com/inward/record.url?scp=84978429948&partnerID=8YFLogxK

U2 - 10.1080/02786826.2016.1168921

DO - 10.1080/02786826.2016.1168921

M3 - Article

AN - SCOPUS:84978429948

SN - 0278-6826

VL - 50

SP - 578

EP - 590

JO - Aerosol Science and Technology

JF - Aerosol Science and Technology

IS - 6

ER -

Approximate analytical solutions to the condensation-coagulation equation of aerosols

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this