Convection of Moist Saturated Air: Analytical Study

Zakinyan, R. G.; Zakinyan, Arthur; Ryzhkov, Roman; Avanesyan, Kristina

doi:10.3390/atmos7010008

Cited by 5 publications

(9 citation statements)

References 35 publications

(36 reference statements)

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“…In [43] the analytical solution of the two-dimensional model of thermal convection in the atmosphere of absolutely dry air was derived. In [44] the analytical solution was obtained for a two-dimensional model of the moist saturated air convection. Hence, we have analytical solutions for the two-dimensional models of the dry air convection that will be referred to as "sub-cloud" convection, and an analytical solution for the moist air convection model that will be referred to as "cloud" convection.…”

Section: Definition Of Problemmentioning

confidence: 99%

“…Hence, we have analytical solutions for the two-dimensional models of the dry air convection that will be referred to as "sub-cloud" convection, and an analytical solution for the moist air convection model that will be referred to as "cloud" convection. In the present study, we attempt to apply the results of [43,44] to analyze the effects of the characteristics of the near-surface layer of atmosphere on the development of the cloud convection.…”

Section: Definition Of Problemmentioning

confidence: 99%

“…In the work [44] the analytical solution for the two-dimensional model of the moist saturated air convection has been obtained. See the major provisions and assumptions that had served the bases for the analytical solution in [44]. The moist saturated air temperature gradient has the form:…”

Section: Cloud Convectionmentioning

confidence: 99%

“…Here index "m" denotes "moist", "ma"-"moist-adiabatic", "mac"-"moist-adiabatic on the condensation level". The temperature excess of a buoyant parcel will be written as [44]:…”

Section: Cloud Convectionmentioning

confidence: 99%

“…This, in turn, indicates the admissibility of the approximation (34). The expression for the oversaturation function is [44]:…”

Section: Cloud Convectionmentioning

confidence: 99%

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Influence of Atmosphere Near-Surface Layer Properties on Development of Cloud Convection

Abshaev¹,

Zakinyan

Abshaev³

et al. 2019

Atmosphere

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A two-dimensional mathematical model of moist air convection in the sub-cloud and cloud layers is proposed. A theoretical analysis of the influence of near ground atmospheric parameters on the development of sub-cloud and cloud convection is provided, and the criteria of convection development are considered. As a rule, this relationship is parameterized in general circulation, regional or mesoscale models of the atmosphere. Therefore, achieving a more complete and correct understanding of this relationship can lead to an improvement in the accuracy of weather forecasts. The mathematical model describes the system of the equations of motion, heat conductivity and the continuity equations for a two-dimensional vertical plane. The approximate analytical solution of the system of equations is obtained. Expressions for the estimation of the convection height and height of maximum velocity are derived for vertical and horizontal components of updraft wind and for vertical distribution of temperature. From the expressions obtained, the criterion of sub-cloud convection development is derived. The expressions for the convection parameters at a condensation level have also been formulated, from which the criterion of cloud development through convection is derived. It is established that the development of cloud convection depends on absolute values of the dew point deficit in a near-surface layer and, in a greater degree, on vertical gradients of water vapor mass fraction. It is shown that at certain critical values of a vertical gradient of water vapor mass fraction “explosive convective growth” is observed. The application of the obtained results to artificial stimulation of convection by means of air heating in the near-ground atmosphere has shown that the success of such an application and the required air heating-up depend on: (i) the vertical temperature gradient; (ii) the vertical dew-point gradient; and (iii) the value of the dew point deficit in the near-ground layer. The analysis performed has shown the possibility of successful stimulation of artificial convection under specific favorable atmospheric conditions.

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Section: Definition Of Problemmentioning

confidence: 99%

Section: Definition Of Problemmentioning

confidence: 99%

Section: Cloud Convectionmentioning

confidence: 99%

“…Here index "m" denotes "moist", "ma"-"moist-adiabatic", "mac"-"moist-adiabatic on the condensation level". The temperature excess of a buoyant parcel will be written as [44]:…”

Section: Cloud Convectionmentioning

confidence: 99%

“…This, in turn, indicates the admissibility of the approximation (34). The expression for the oversaturation function is [44]:…”

Section: Cloud Convectionmentioning

confidence: 99%

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