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**Nonlinear dynamics of turbulent thermals in shear flow.**
*(English.
Russian original)*
Zbl 1393.76040

J. Appl. Mech. Tech. Phys. 59, No. 2, 206-211 (2018); translation from Prikl. Mekh. Tekh. Fiz. 59, No. 2, 23-30 (2018).

Summary: The nonlinear integral model of a turbulent thermal is extended to the case of the horizontal component of its motion relative to the medium (e.g., thermal floating-up in shear flow). In contrast to traditional models, the possibility of a heat source in the thermal is taken into account. For a piecewise constant vertical profile of the horizontal velocity of the medium and a constant vertical velocity shear, analytical solutions are obtained which describe different modes of dynamics of thermals. The nonlinear interaction between the horizontal and vertical components of thermal motion is studied because each of the components influences the rate of entrainment of the surrounding medium, i.e., the growth rate of the thermal size and, hence, its mobility. It is shown that the enhancement of the entrainment of the medium due to the interaction between the thermal and the cross flow can lead to a significant decrease in the mobility of the thermal.

### Keywords:

convection; thermals; turbulence; integral models; shear flows; nonlinearity; analytical solutions
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\textit{L. Kh. Ingel}, J. Appl. Mech. Tech. Phys. 59, No. 2, 206--211 (2018; Zbl 1393.76040); translation from Prikl. Mekh. Tekh. Fiz. 59, No. 2, 23--30 (2018)

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### References:

[1] | Richards, J. M., The effect of wind shear on puff, Quart. J. Roy. Meteorol. Soc., 96, 702-714, (1970) |

[2] | J. S. Turner, Buoyancy Effects in Fluids (Cambridge Univ. Press, 1973). · Zbl 0262.76067 |

[3] | V. Andreev and S. Panchev, Dynamics of Atmospheric Thermals (Gidrometeoizdat, Leningrad, 1975). |

[4] | R. S. Scorer, Environmental Aerodynamics (Horwood, New York, 1978). · Zbl 0385.76057 |

[5] | Yu. A. Gostintsev, V. V. Lazarev, A. F. Solodovnik, and Yu. V. Shatskikh, Turbulent Thermal in Stratified Atmosphere (Inst. of Chem. Phys., Chernogolovka, 1985) [in Russian]. · Zbl 0626.76115 |

[6] | K. A. Emanuel, Atmospheric convection (Oxford Univ. Press New York, 1994). |

[7] | Ingel, L. Kh., Self-action of a heat-releasing impurity in fluid, Usp. Fiz. Nauk, 168, 104-108, (1998) |

[8] | Rusakov, Yu. S., Vortex-acoustic sounding of the atmosphere: physical principles and experimental verification, Izv. Ross. Akad. Nauk, Fiz. Atmos. Okeana, 36, 229-239, (2000) |

[9] | O. M. Belotserkovskii, V. A. Andrushchenko, and Yu. D. Shevelev, Dynamics of Spatial Vortex Flows in an Inhomogeneous Atmosphere: Computational Experiment (Yanus-K, Moscow, 2000) [in Russian]. |

[10] | V. I. Romanov, Applied Aspects of Accidental Emissions into the Atmosphere (Fizmatkniga, Moscow, 2006) [in Russian]. |

[11] | Vulfson, A. N.; Borodin, O. O., System of convective thermal as generalized ensemble of Brownian particles, Usp. Fiz. Nauk, 186, 113-124, (2016) |

[12] | Ingel, L. Kh., On the theory of convective jets and thermals in the atmosphere, Izv. Ross. Akad. Nauk, Fiz. Atmos. Okeana, 52, 676-680, (2016) |

[13] | S. P. Khromov and M. A. Petrosyants, Meteorology and Climatology (Izd. Mosk. Gos. Univ., Moscow, 2006) [in Russian]. |

[14] | M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (John Wiley and Sons, New York, 1972). · Zbl 0543.33001 |

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