پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 640 |
| تعداد مقالات | 9,352 |
| تعداد مشاهده مقاله | 67,997,447 |
| تعداد دریافت فایل اصل مقاله | 27,160,043 |
Numerical simulation of arterial pulse propagation using autonomous models | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 67، دوره 12، شماره 1، مرداد 2021، صفحه 838-846 اصل مقاله (545.47 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4939 | ||
| نویسندگان | ||
| Mayada G. Mohammed؛ Hassan Kamil Jassim* | ||
| Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq | ||
| تاریخ دریافت: 03 مهر 1399، تاریخ بازنگری: 03 آذر 1399، تاریخ پذیرش: 10 آذر 1399 | ||
| چکیده | ||
| We present a model of the fluid flow between elastic walls simulating arteries actively interacting with the blood. The lubrication theory for the flow is coupled with the pressure and shear stress from the walls. The resulting nonlinear partial differential equation describes the displacement of the walls as a function of the distance along the flow and time. | ||
| کلیدواژه‌ها | ||
| channel flow؛ elastic؛ pulses | ||
| مراجع | ||
|
[1] F. Ahmed, D. Strunin, M. Mohammed and R. Bhanot, Numerical solution for the fluid flow between active elastic walls, ANZIAM J. (E) (former J. of Australian Math. Soc. Ser. B) 57 (2016) 163–177. [2] R. Huang and Z. Suo, Wrinkling of a compressed elastic film on a viscous layer, J. Appl. Phys. 91 (2002) 1135– 1142. [3] J.R. King, The isolation oxidation of silicon: The reaction-controlled case, SIAM J. Appl. Math. 49 (1989) 1064– 1080. [4] C. Kleinstreuer, Biofluid Dynamics, Taylor and Francis, Boca Raton, 2006. [5] L.D. Landau and E.M. Lifshitz, Theory of elasticity, Pergamon, London, 1959, pp. 57-60. [6] K.S. Matthys, J. Alastruey, J. Peiro, A.W. Khir, P. Segers, P.R. Verdonck, K.H. Parker and S.J. Sherwin, Pulse wave propagation in a model human arterial network: Assessment of 1-D numerical simulations against in vitro measurements, J. Biomech. 40 (2007) 3476–3486. [7] M.S. Olufsen, C.S. Peskin, W.Y. Kim, E.M. Pedersen, A. Nadim and J. Larsen, Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions, Ann. Biom. Engin. 28 (2000) 1281–1299. [8] A.J. Roberts, A One-Dimensional Introduction to Continuum Mechanics, World Scientific, Singapore, 1994. [9] S.J. Sherwin, L. Formaggia, J. Peiro and V. Franke, Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system, Int. J. Numer. Meth. Fluids 43 (2003) 673–700. [10] D.V. Strunin, Autosoliton model of the spinning fronts of reaction, IMA J. Appl. Math. 63 (1999) 163-177. [11] D.V. Strunin, Fluid flow between active elastic plates, ANZIAM Journal (E) (former J. of Australian Math. Soc., Ser. B) 50 (2009) C871–C883. [12] D.V. Strunin, Phase equation with nonlinear excitation for nonlocally coupled oscillators, Physica D: Nonlin. Phenomena 238 (2009) 1909–1916. [13] D.V. Strunin and M.G. Mohammed, Range of validity and intermittent dynamics of the phase of oscillators with nonlinear self-excitation, Communic. Nonlin. Sci. Numer. Simul. 29 (2015) 128–147. [14] S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill. New York, 1987. | ||
|
آمار تعداد مشاهده مقاله: 15,560 تعداد دریافت فایل اصل مقاله: 3,910 |
||