کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631056 | 1340615 | 2012 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Spectral element modeling and analysis of the blood flows in viscoelastic vessels
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Spectral element modeling and analysis of the blood flows in viscoelastic vessels Spectral element modeling and analysis of the blood flows in viscoelastic vessels](/preview/png/4631056.png)
چکیده انگلیسی
As the cardiovascular diseases are closely related to the blood flow characteristics such as blood flow rates and pressures in vessels, accurate prediction of the blood flow characteristics in an efficient way has been an important research issue. In this paper, one-dimensional (1D) nonlinear spectral element model is developed by using the variational approach for the blood flows in the vessels with slowly varying cross-sections. The mechanical behavior of the vessel walls is represented by the Kelvin viscoelastic model. The nonlinear spectral element model is formulated by using the frequency-dependent dynamic shape functions which are derived from the free wave solutions to the frequency-domain governing differential equations. The direct iterative method based on an alternating frequency-time method is used to obtain frequency-domain or time-domain solutions from the nonlinear spectral element model. The nonlinear spectral element model is applied to an example artery and its high accuracy is validated by comparing with the solutions obtained by the conventional finite element method. In addition, the effects of the viscoelasticity of artery wall and the nonlinear fluid terms on the blood flow characteristics in the example artery are investigated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 13, 1 March 2012, Pages 7295-7307
Journal: Applied Mathematics and Computation - Volume 218, Issue 13, 1 March 2012, Pages 7295-7307
نویسندگان
Usik Lee, Injoon Jang,