Abstract

In this paper, we show in principle a method for solving the problem of a two-dimensional vortex source in terms of flow. The material of the article relates to mathematical modeling of classical two-dimensional problems in terms of potential flows. The resulting solution is similar to the results for a flat vortex source and is an important result for the development of the analytical theory of two-dimensional in terms of potential water flows. Other solutions for real potential two-dimensional flows are considered, which are clarified by the authors, which confirms the relevance of the work.

Highlights

  • We show in principle a method for solving the problem of a two-dimensional vortex source in terms of flow

  • The material of the article relates to mathematical modeling of classical two-dimensional problems in terms of potential flows

  • The resulting solution is similar to the results for a flat vortex source and is an important result for the development of the analytical theory of two-dimensional in terms of potential water flows

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Summary

Двухмерный в плане вихреисточник

Материал статьи относится к математическому моделированию классических задач двухмерных в плане потенциальных потоков. Полученное решение аналогично результатам по плоскому вихреисточнику и является важным результатом для развития аналитической теории двухмерных в плане потенциальных водных потоков. Рас-смотрены другие решения для реальных потенциальных двухмерных потоков, которые авторами уточнены, что подтверждает актуальность работы. The resulting solution is similar to the results for a flat vortex source and is an important result for the development of the analytical theory of two-dimensional in terms of potential water flows. Для течения плоских потенциальных потоков решение этих задач приведено в работе [3] и составляет вклад в классику механики жидкости. Данная работа продолжает цикл работ авторов [4,5,6,7,8,9,10]

Цель работы
Поток на радиусе r
Определение линий тока в плоскости годографа скорости
Определение уравнения линии тока в физической области течения потока

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