A numerical study on the ventilation coefficients of falling lobed hailstones

Pao K. Wang, Chih Che Chueh

Research output: Contribution to journalArticle

Abstract

The ventilation coefficients that characterize the enhancement of heat/mass transfer rate due to the falling motion of lobed hailstones created by a set of mathematical expressions in an atmosphere of pressure 460 hPa and temperature 248 K are computed by numerically solving the convective-diffusion water vapor transport equation while the local airflow velocities are obtained through the numerical solution of unsteady Navier-Stokes Equation around the falling hailstones. The atmospheric condition is chosen so that the hailstone is not growing wet and the ventilation coefficient represents dry hailstone condition. The diameters of the hailstones investigated here are 1, 3, 5, 7 and 10 cm with the Reynolds numbers ranging from 9560 to 388,000 respectively. The ventilation coefficients for all cases are nearly the same when the diameter is 1 cm. The difference becomes greater as the size increases. The highest ventilation coefficient calculated here is >500 for a 10 cm hailstone with 36 long lobes. We found that in general lobed hailstones have larger ventilation effect than spherical hailstones of the same size. We also report that the connection between basic geometry information (i.e. surface area and volume) and the ventilation coefficients. The larger surface area usually results in greater ventilation coefficient whereas no clear relation exists between the ventilation coefficient and volume for the stones investigated here. Empirical formulas for ventilation coefficient as a function of hailstone diameter and Schmidt numbers are given. Implications of these ventilation coefficients are discussed.

Original languageEnglish
Article number104737
JournalAtmospheric Research
Volume234
DOIs
Publication statusPublished - 2020 Apr

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ventilation
surface area
Navier-Stokes equations
Reynolds number
airflow
mass transfer
water vapor
geometry
atmosphere

All Science Journal Classification (ASJC) codes

  • Atmospheric Science

Cite this

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abstract = "The ventilation coefficients that characterize the enhancement of heat/mass transfer rate due to the falling motion of lobed hailstones created by a set of mathematical expressions in an atmosphere of pressure 460 hPa and temperature 248 K are computed by numerically solving the convective-diffusion water vapor transport equation while the local airflow velocities are obtained through the numerical solution of unsteady Navier-Stokes Equation around the falling hailstones. The atmospheric condition is chosen so that the hailstone is not growing wet and the ventilation coefficient represents dry hailstone condition. The diameters of the hailstones investigated here are 1, 3, 5, 7 and 10 cm with the Reynolds numbers ranging from 9560 to 388,000 respectively. The ventilation coefficients for all cases are nearly the same when the diameter is 1 cm. The difference becomes greater as the size increases. The highest ventilation coefficient calculated here is >500 for a 10 cm hailstone with 36 long lobes. We found that in general lobed hailstones have larger ventilation effect than spherical hailstones of the same size. We also report that the connection between basic geometry information (i.e. surface area and volume) and the ventilation coefficients. The larger surface area usually results in greater ventilation coefficient whereas no clear relation exists between the ventilation coefficient and volume for the stones investigated here. Empirical formulas for ventilation coefficient as a function of hailstone diameter and Schmidt numbers are given. Implications of these ventilation coefficients are discussed.",
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A numerical study on the ventilation coefficients of falling lobed hailstones. / Wang, Pao K.; Chueh, Chih Che.

In: Atmospheric Research, Vol. 234, 104737, 04.2020.

Research output: Contribution to journalArticle

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