Summary
A simple unidimensional model for the steady flow of a viscous incompressible fluid in collapsible tubes is proposed. The viscosity is introduced in a phenomenological way. The matching with the structural mechanics of the wall is given by a simple local way. The predictions of the model are applied to some of more common experimental devices. The agreement with the measured values is very satisfactory.
Riassunto
Si è costruito un semplice modello unidimensionale per il flusso stazionario di un fluido viscoso incompressibile in tubi elastici suscettibili di parziale collasso. La viscosità è introdotta in maniera fenomenologica. L'accoppiamento con la meccanica strutturale delle pareti è espresso mediante una semplice legge locale. Le previsioni del modello sono applicate ad alcuni dei piú comuni dispositivi sperimentali e mostrano un complessivo buon accordo con i valori misurati.
Резюме
Предлагается простая одномерная модель для стационарного течеиня вязкой несжимаемой жидкости в гибких трубах. Вязкость вводится феноменологическим путем. Согласование со структурной механикой стенок задается простым локальным законом. Предсказания модели применяются к некоторым довольно общим экспериментальным приборам. Получается удовлетворительное согласие с измеренными величинами.
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This work was partially supported by Ministero della Pubblica Istruzione.
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Bonsignori, F., Salvini, M. Unidimensional steady flow in collapsible tubes with applications to blood vessels. Il Nuovo Cimento D 6, 317–333 (1985). https://doi.org/10.1007/BF02450691
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DOI: https://doi.org/10.1007/BF02450691