Results of the Use of Algebraic Models of Turbulence in the Framework of the RANS Model of Heating the Surface of a Sharp Plate in a Supersonic Flow

A modified two-dimensional model for heating the surface of a sharp plate based on the Reynolds-averaged Navier  Stokes (RANS) equations together with algebraic turbulence mod-els is presented. An exponential decrease in the velocity vortex function as we move away from the conditions of the boundary layer boundary, an effective turbulent Prandtl number, and a section of a gradual transition from laminar to turbulent flow are introduced into the model. The problem of choosing the boundary of a turbulent boundary layer when solving the problem using the RANS model is discussed. The intensity of convective heating of flat sur-faces with length L = 40 ÷ 200 cm is compared at M ~ 6 ÷ 9.

algebraic models of turbulence, RANS model, supersonic flow past a sharp plate

Volume 24, issue 3, 2023 year

Результаты использования алгебраических моделей турбулентности в рамках RANS модели нагрева поверхности острой пластины в сверхзвуковом потоке

Представлена модифицированная двухмерная модель нагрева поверхности острой пла-стины, основанная на усредненных по Рейнольдсу уравнениях Навье  Стокса (RANS) совместно с алгебраическими моделями турбулентности. В модель введено экспоненци-альное уменьшение функции вихря скорости по мере отхода от условий границы погра-ничного слоя, эффективное турбулентное число Прандтля и участок постепенного пере-хода от ламинарного к турбулентному течению. Обсуждается проблема выбора границы турбулентного пограничного слоя при решении задачи с использованием RANS-модели. Выполнено сравнение интенсивности конвективного нагрева плоских поверхностей про-тяженностью L = 40 ÷ 200 см при M ~ 6 ÷ 9.

алгебраические модели турбулентности, RANS модель, сверхзвуковое обтекание острой пластины

Volume 24, issue 3, 2023 year

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