A Theoretical Analysis of Thixotropic Parameter’s Influence on Blood Flow Through Constriction
- 10 Downloads
This study has been prepared to investigate the changes in the dynamics of blood flow through a stenosed tapered artery owing to a change in structural parameter \(\lambda \) of thixotropic model. Following the time evolution range of this parameter as [0,1] for transient shear flows, the effects of \(\lambda \) on axial velocity, shear stress, flow rate and resistance to flow have been probed. Analytical expressions of axial velocity and shear stress have been obtained along with numerical computation of pressure gradient by means of continuity equation. The evolution of system with respect to time, t has been investigated in order to study the changes in dynamics of flow at certain times. A comparison of axial velocity profiles for some values of \(\lambda \) has been made to obtain profiles for Power law fluid and Newtonian fluid model. The inclination of velocity profiles for \(0.5\le \lambda \le 1\) towards experimental velocity profiles has been suggested by means of comparison with available results in history. This analysis has also been prepared as a foundational step of construction of an artificial channel with constriction and of adaptation of most suitable modelling of blood flow such that the findings of the parameter \(\lambda \) and its influence on flow can be incorporated experimentally for induction of decreased wall stress.
KeywordsThixotropy Blood flow Time dependence Constricted channel Axial velocity Yield stress
Unable to display preview. Download preview PDF.
The author thanks Dr.Howard Stone from Department of Mechanical and Aerospace Engineering, Princeton University for his insightful discussion on topic and Princeton University for providing a wonderful working atmosphere for completion of this project.
- 17.Mansour, R.B.; Badr, H.; Shaik, A.Q.; Maalej, N.: Modeling of pulsatile blood flow in an axisymmetric tube with a moving indentation. Arab. J. Sci. Eng. 33(1), 5 (2008)Google Scholar
- 20.Ponalagusamy, P.: Pulsatile flow of Herschel–Bulkley fluid in tapered blood vessels. In: Proceedings of the International Conference Science Computing, and World Congress in Computer Science, Computer Engineering and Applied Computing, pp 67–73 (2013)Google Scholar
- 40.Fang, J.N.; Owens, R.G.: Numerical simulations of pulsatile blood flow using a new constitutive model. Biorheology 43, 637–660 (2006)Google Scholar
- 42.Anand, M.J.; Rajagopal, K.: A shear-thinning viscoelastic fluid model for describing the flow of blood Int. J. Cardiovasc. Med. Sci. 4, 59–68 (2004)Google Scholar
- 45.Scott Blair, G.W.; Spanner, D.C.: An Introduction to Biorheology. Elsevier Scientific Publishing, Amsterdam (1974)Google Scholar
- 46.Priyadharshini, S.; Ponalagusamy, R.: Biorheological model on flow of Herschel–Bulkley fluid through a tapered arterial stenosis with dilatation. Appl. Bionic Biomech. (2015). https://doi.org/10.1155/406195
- 47.Whitemore, R.L.: Rheology of Circulation. Pergamon Press, Oxford (1968)Google Scholar
- 55.Bird, R.B.; Armstrong, R.C.; Hassager, O.: Dynamics of Polymeric Liquids 1 Fluid Mech. Wiley, New York (1977)Google Scholar