Volume 19, Issue 3 (March 2019)                   Modares Mechanical Engineering 2019, 19(3): 569-576 | Back to browse issues page

XML Persian Abstract Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Rahmani S, Heidary S, Navidbakhsh M, Alizadeh M. Analytical Tow-Dimensional Modeling of Blood Flow in a Balloon with Periodic Inflation and Deflation; Application in Intra- and Extra-Aortic Cardiac Assist Devices. Modares Mechanical Engineering 2019; 19 (3) :569-576
URL: http://mme.modares.ac.ir/article-15-22689-en.html
1- Biomechanics Department, Mechanical Engineering School, Iran University of Science & Technology, Tehran, Iran
2- Biomechanics Department, Mechanical Engineering School, Iran University of Science & Technology, Tehran, Iran , mnavid@iust.ac.ir
Abstract:   (7356 Views)
The aim of this study is to investigate hemodynamic parameters such as radial and longitudinal velocities, pressure gradients, and wall shear stress of blood flow through a time-varying radius tube with one end closed. Application of this research is in the intra (as AVICENA) and extra cardiac assist devices, in which their balloons can increase the blood’s energy by its periodic inflation and deflation and it makes the blood to be pumped strongly into the aorta. The equation is considered as a two-dimensional model with axial symmetry and analyzed as an analytical solution for aorta. This research shows the continuation of the numerical analysis of the intra- and extra-aortic cardiac assist device in the past papers of the authors in an analytical and two-dimensional model. Results show that the longitudinal velocity is increased as we move from balloon inlet to the balloon outlet along the length of balloon. At a specific time as we move from the balloon walls towards to the centerline of the balloon, the radial velocity of blood flow decreases. It means that the blood flow radial velocity at the centerline of the balloon is close to zero. Pressure is decreased as we move from the end closed to the balloon outlet. Although the wall shear stress increases during contracting of balloon, its value is less than that of existing in aorta, thereby concluding that the chosen-balloon properties may be appropriate to be used for the balloon implanted in the aorta.
Full-Text [PDF 774 kb]   (2538 Downloads)    
Article Type: Original Research | Subject: Biomechanics
Received: 2018/07/3 | Accepted: 2018/10/24 | Published: 2019/03/1

References
1. Jaffrin M, Shapiro AH. Peristaltic pumping. Annual Review of Fluid Mechanics. 1971;3(1):13-37. [Link] [DOI:10.1146/annurev.fl.03.010171.000305]
2. Lighthill SJ. Pulse Propagation Theory. In: Lighthill MJ. Mathematical Biofluiddynamics. 17th Volume. Philadelphia: Society for Industrial and Applied Mathematics; 1975. pp. [Link] [DOI:10.1137/1.9781611970517.ch12]
3. Rosen R, Editor. Foundations of mathematical biology. Vol 3. New York: Academic Press; 1973. [Link]
4. Birks EJ, Tansley PD, Hardy J, George RS, Bowles CT, Burke M, et al. Left ventricular assist device and drug therapy for the reversal of heart failure. The New England Journal of Medicine. 2006;355(18):1873-1884. [Link] [DOI:10.1056/NEJMoa053063]
5. Pagani FD, Miller LW, Russell SD, Aaronson KD, John R, Boyle AJ, et al. Extended mechanical circulatory support with a continuous-flow rotary left ventricular assist device. Journal of the American College of Cardiology. 2009;54(4):312-321. [Link] [DOI:10.1016/j.jacc.2009.03.055]
6. Slaughter MS, Rogers JG, Milano CA, Russell SD, Conte JV, Feldman D, et al. Advanced heart failure treated with continuous-flow left ventricular assist device. The New England Journal of Medicine. 2009;361(23):2241-2251. [Link] [DOI:10.1056/NEJMoa0909938]
7. Kumar A, Khanwilkar PS. Long-term implantable ventricular assist devices (VADs) and total artificial hearts (TAHs). Comprehensive Biomaterials. 2011;6:389-402. [Link] [DOI:10.1016/B978-0-08-055294-1.00226-9]
8. Cohn WE, Timms DL, Frazier OH. Total artificial hearts: Past, present, and future. Nature Reviews Cardiology. 2015;12(10):609-617. [Link] [DOI:10.1038/nrcardio.2015.79]
9. Rai V, Gładki M, Dudyńska M, Jery J, Mroczek T, Kołcz J, et al. Pneumatic paracorporeal ventricular assist device as bridge to transplant in children≤20 kg: Krakow experience. Indian Journal of Thoracic and Cardiovascular Surgery. 2018;34(1):19-24. [Link] [DOI:10.1007/s12055-017-0583-1]
10. Rogers JG, Pagani FD, Tatooles AJ, Bhat G, Slaughter MS, Birks EJ, et al. Intrapericardial left ventricular assist device for advanced heart failure. The New England Journal of Medicine. 2017;376(5):451-460. [Link] [DOI:10.1056/NEJMoa1602954]
11. Bartoli CR, Dowling RD. The future of adult cardiac assist devices: Novel systems and mechanical circulatory support strategies. Cardiology Clinics. 2011;29(4):559-582. [Link] [DOI:10.1016/j.ccl.2011.08.013]
12. Thurston GB. Rheological parameters for the viscosity viscoelasticity and thixotropy of blood. Biorheology. 1979;16(3):149-162. [Link] [DOI:10.3233/BIR-1979-16303]
13. Liepsch D, Moravec ST. Pulsatile flow of non-Newtonian fluid in distensible models of human arteries. Biorheology. 1984;21(4):571-586. [Link] [DOI:10.3233/BIR-1984-21416]
14. Rodkiewicz CM, Sinha P, Kennedy JS. On the application of a constitutive equation for whole human blood. Journal of Biomechanical Engineering. 1990;112(2):198-206. [Link] [DOI:10.1115/1.2891172]
15. Berger SA, Jou LD. Flows in stenotic vessels. Annual Review of Fluid Mechanics. 2000;32(1):347-382. [Link] [DOI:10.1146/annurev.fluid.32.1.347]
16. Kim HJ, Vignon-Clementel IE, Figueroa CA, LaDisa JF, Jansen KE, Feinstein JA, et al. On coupling a lumped parameter heart model and a three-dimensional finite element aorta model. Annals of Biomedical Engineering. 2009;37(11):2153-2169. [Link] [DOI:10.1007/s10439-009-9760-8]
17. Reymond P, Crosetto P, Deparis S, Quarteroni A, Stergiopulos N. Physiological simulation of blood flow in the aorta: Comparison of hemodynamic indices as predicted by 3-D FSI, 3-D rigid wall and 1-D models. Medical Engineering and Physics. 2013;35(6):784-791. [Link] [DOI:10.1016/j.medengphy.2012.08.009]
18. Tehrani P, Rahmani Sh, Karimi A, Alizadeh M, Navidbakhsh M. Modeling of balloon part of a new cardiac assist device known as AVICENA. Journal of Biomaterials and Tissue Engineering. 2014;4(10):772-777. [Link] [DOI:10.1166/jbt.2014.1236]
19. Alizadeh M, Tehrani P, Rahmani Sh. Hemodynamic simulation of blood flow in a new type of cardiac assist device named AVICENA. Proceedings of the Institution of Mechanical Engineers Part H Journal of Engineering in Medicine. 2014;228(8):824-832. [Link] [DOI:10.1177/0954411914548243]
20. Rahmani Sh, Navidbakhsh M, Alizadeh M. Investigation of a new prototype of multi-balloons LVAD using FSI. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2018;40(1):8. [Link] [DOI:10.1007/s40430-017-0923-5]

Add your comments about this article : Your username or Email:
CAPTCHA

Send email to the article author


Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.