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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: 1. Доказать, что размерность коэффициента динамической вязкости нефти мю есть Па•с. Дать обоснованную физическую интерпретацию размерности коэффициента кинематической вязкости нефти ν (ню). P.S. В ходе выполнения задачи 1 обязательно нужно вывести формулу, связывающую силу сопротивления движению в зависимости от величины коэффициента динамической вязкости нефти мю.
В прикреплённом файле находится изображение, на котором процитирован параграф из учебника [1, с. 381 -- 382]. Требуемая по условию задачи формула выводится во втором и третьем абзацах текста; там же указана размерность коэффициента динамической вязкости. Автором использована другая буква греческого алфавита.
Формулировка задания, относящаяся к коэффициенту кинематической вязкости, мне непонятна. Поэтому я ограничусь тем, что укажу следующее. В задачах гидравлики часто используют кинематическую вязкость
которая равна отношению динамической вязкости вещества к его плотности при установленной температуре. Единицей кинематической вязкости служит м2/с. Эта величина равна кинематической вязкости, при которой динамическая вязкость жидкости плотностью 1 кг/м3 равна 1 Па[$183$]с. В технике кинематическую вязкость часто измеряют в стоксах (Ст): 1 Ст=1[$183$]10-4 м2/с [2, с. 15].
Кинематический коэффициент вязкости представляет собой работу, которую необходимо совершить при относительном движении слоев жидкости для единицы массового расхода.
Литература 1. Джанколи Д. Физика. В 2 т. Т. 1. -- М.: Мир, 1989. -- 656 с. 2. Гидравлика, пневматика и термодинамика: курс лекций / под ред. В. М. Филина. -- М.: ИНФРА-М, 2015. -- 320 с.
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