### Abstract

It is shown that the mass flux of erodible soil transported horizontally by a statistically distributed wind flow has a statistical distribution. Explicit expression for the probability density function of the flux is derived for the case in which the wind speed has a Weibull distribution. The statistical distribution for a mass flux characterized by a generalized Bagnold formula is found to be Weibull for the case of zero threshold speed. Analytic and numerical values for the average horizontal mass flux of soil are obtained for various values of wind parameters by evaluating the first moment of the flux density function.

Original language | English |
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Pages (from-to) | 14845-14849 |

Number of pages | 5 |

Journal | Journal of Geophysical Research: Atmospheres |

Volume | 92 |

Issue number | D12 |

DOIs | |

Publication status | Published - Dec 20 1987 |

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### ASJC Scopus subject areas

- Geophysics
- Oceanography
- Forestry
- Ecology
- Aquatic Science
- Water Science and Technology
- Soil Science
- Geochemistry and Petrology
- Earth-Surface Processes
- Atmospheric Science
- Earth and Planetary Sciences (miscellaneous)
- Space and Planetary Science
- Palaeontology

### Cite this

*Journal of Geophysical Research: Atmospheres*,

*92*(D12), 14845-14849. https://doi.org/10.1029/JD092iD12p14845

**A statistical model for horizontal mass flux of erodible soil.** / Babiker, A. G A G; Eltayeb, I. A.; Hassan, M. H A.

Research output: Contribution to journal › Article

*Journal of Geophysical Research: Atmospheres*, vol. 92, no. D12, pp. 14845-14849. https://doi.org/10.1029/JD092iD12p14845

}

TY - JOUR

T1 - A statistical model for horizontal mass flux of erodible soil

AU - Babiker, A. G A G

AU - Eltayeb, I. A.

AU - Hassan, M. H A

PY - 1987/12/20

Y1 - 1987/12/20

N2 - It is shown that the mass flux of erodible soil transported horizontally by a statistically distributed wind flow has a statistical distribution. Explicit expression for the probability density function of the flux is derived for the case in which the wind speed has a Weibull distribution. The statistical distribution for a mass flux characterized by a generalized Bagnold formula is found to be Weibull for the case of zero threshold speed. Analytic and numerical values for the average horizontal mass flux of soil are obtained for various values of wind parameters by evaluating the first moment of the flux density function.

AB - It is shown that the mass flux of erodible soil transported horizontally by a statistically distributed wind flow has a statistical distribution. Explicit expression for the probability density function of the flux is derived for the case in which the wind speed has a Weibull distribution. The statistical distribution for a mass flux characterized by a generalized Bagnold formula is found to be Weibull for the case of zero threshold speed. Analytic and numerical values for the average horizontal mass flux of soil are obtained for various values of wind parameters by evaluating the first moment of the flux density function.

UR - http://www.scopus.com/inward/record.url?scp=85006665820&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85006665820&partnerID=8YFLogxK

U2 - 10.1029/JD092iD12p14845

DO - 10.1029/JD092iD12p14845

M3 - Article

VL - 92

SP - 14845

EP - 14849

JO - Journal of Geophysical Research

JF - Journal of Geophysical Research

SN - 0148-0227

IS - D12

ER -