A thermal based RBC Aggregation model for two-phase blood flow
Tóm tắt
Creating a reliable and accurate Red Blood Cell (RBC) aggregation model for small and midsize arteries and veins is still an active research subject with more in focus with a multi-scale approach including mesoscale effects. Better understanding the RBC aggregation requires a multi-phase and multi-scale approach for simulating blood with Newtonian and non-Newtonian parts. In our proposed work, viscosity, shear rates, phase distributions and volume fractions with a range of hematocrit levels of RBC are calculated using the depletion interaction theory for two-phase blood flow simulation and compared with the numerical and experimental data in literature. In addition, thermal effects are modeled using energy equations and changes in RBC aggregation are studied with respect to thermal variations. Two-phase fluid-fluid model is used including inter-phase momentum exchange. A new shape factor is proposed for the coupling effects on drag and lift forces. Finally, total interaction energy of RBCs, hematocrit levels of blood at varying temperatures and effects of temperature on viscosity and relative apparent viscosity are computed at varying shear rates and compared with the existing data in literature.
Tài liệu tham khảo
Al-Taweel, A.M., S. Madhavan, K. Podila, M. Koksal, A. Troshko and Y.P. Gupta, 2006, CFD Simulation of Multiphase Flow: Closure Recommendations for Fluid-Fluid Systems, 12thEuropean Conference on Mixing, Bologna, Italy, 495-502.
Arıbaş, E., and M.S. Çelebi, 2018, Effects of using depletion interaction theory in variable hematocrit levels of bio-flows, The 2ndSymposium on Multiscale, Multiphysics and Turbulent flow Simulations, ICNAAM, 15thInternational Conference of Numerical Analysis and Applied Mathematics, Thessaloniki-Greece, 320004.
Arkin, H., L.X. Xu, and K.R. Holmes, 1994, Recent developments in modeling heat transfer in blood perfused tissues, IEEE T. Bio-Med. Eng.41, 97–107.
Baskurt, O., B. Neu, and H.J. Meiselman, 2011, Red Blood Cell Aggregation, CRC Press.
Baskurt, O.K., D. Gelmont, and H.J. Meiselman, 1998, Red blood cell deformability in sepsis, Am. J. Respir. Crit. Care. Med.157, 421–427.
Brooks, D.E., J.W. Goodwin, and G.V. Seaman, 1970, Interactions among erythrocytes under shear, J. Appl. Physiol.28, 172–177.
Charny, C.K. and R.L. Levin, 1989, Bioheat transfer in a branching countercurrent network during hyperthermia, J. Biomech. Eng.111, 263–270.
Chien, S., 1987, Red cell deformability and its relevance to blood flow, Annu. Rev. Physiol.49, 177–192.
Chung, T.H., S.H. Wu, M. Yao, C.W. Lu, Y.S. Lin, Y. Hung, C.Y. Mou, Y.C. Chen, and D.M. Huang, 2007, The effect of surface charge on the uptake and biological function of mesoporous silica nanoparticles in 3T3-L1 cells and human mesenchymal stem cells, Biomaterials28, 2959–2966.
Craciunescu, O.I. and S.T. Clegg, 2001, Pulsatile blood flow effects on temperature distribution and heat transfer in rigid vessels, J. Biomech. Eng.123, 500–505.
Çinar, Y., A.M. Şenyol, and K. Duman, 2001, Blood viscosity and blood pressure: role of temperature and hyperglycemia, Am. J. Hypertens.14, 433–438.
Dong, R.G., 1978, Effective mass and damping of submerged structures, California Univ., Livermore (USA), Lawrence Livermore Lab.
Dufaux, J., D. Quemada, and P. Mills, 1980, Determination of rheological properties of red blood cells by Couette viscometry, Rev. Phys. Appliquee15, 1367–1374.
Enwald, H., E. Peirano, and A.E. Almstedt, 1996, Eulerian two-phase flow theory applied to fluidization, Int. J. of Multiphase Flow22, 21–66.
Fischer, T.M., M. Stöhr-Lissen, and H. Schmid-Schönbein, 1978, The red cell as a fluid droplet: tank tread-like motion of the human erythrocyte membrane in shear flow, Science202, 894–896.
Gijsen, F.J.H., E. Allanic, F.N. Van de Vosse, and J.D. Janssen, 1999, The influence of the non-Newtonian properties of blood on the flow in large arteries: unsteady flow in a 90 curved tube, J. Biomech.32, 705–713.
Jung, J. and A. Hassanein, 2008, Three-phase CFD analytical modeling of blood flow, Med. Eng. Phys.30, 91–103.
Jung, J., A. Hassanein, and R.W. Lyczkowski, 2006a, Hemodynamic computation using multiphase flow dynamics in a right coronary artery, Ann. Biomed. Eng.34, 393.
Jung, J., R.W. Lyczkowski, C.B. Panchal, and A. Hassanein, 2006b, Multiphase hemodynamic simulation of pulsatile flow in a coronary artery, J. Biomech.39, 2064–2073.
Legendre, D. and J. Magnaudet, 1998, The lift force on a spherical bubble in a viscous linear shear flow, J. Fluid Mech.368, 81–126.
Mandal, M., 2016, Rheology of blood: biophysical significance, measurement, pathophysiology and pharmacologic therapy, World J. Pharm. Pharm. Sci.5, 2165–2184.
Massoudi, M., J. Kim, and J.F. Antaki, 2012, Modeling and numerical simulation of blood flow using the theory of interacting continua, Int. J. Nonlin. Mech.47, 506–520.
Mazumdar, J., 2015, Biofluid Mechanics, World Scientific.
Neu, B. and H.J. Meiselman, 2002, Depletion-mediated red blood cell aggregation in polymer solutions, Biophys. J.83, 2482–2490.
O’Rourke, M. F., and W.W. Nichols, 2005, McDonald’s blood flow in arteries: theoretical, experimental and clinical principles, Hodder Arnold London.
Pennes, H.H., 1948, Analysis of tissue and arterial blood temperatures in the resting human forearm, J. Appl. Physiol.1, 93–122.
Piskin, S., E. Aribas, and M.S. Celebi, 2010, A 3D human carotid artery simulation using realistic geometry and experimental input data, In 5th European conference on computational fluid dynamics, ECCOMAS CFD.
Piskin, S. and M.S. Celebi, 2013, Analysis of the effects of different pulsatile inlet profiles on the hemodynamical properties of blood flow in patient specific carotid artery with stenosis, Comput. Biol. Med.43, 717–728.
Roache, P.J., 1994, Perspective: A method for uniform reporting of grid refinement studies, J. Fluids Eng.116, 405–413.
Schmid-Schönbein, H., and R. Wells, 1969, Fluid drop-like transition of erythrocytes under shear, Science165, 288–291.
Secomb, T.W. and A.R. Pries, 2013, Blood viscosity in microvessels: Experiment and theory. C. R. Phys. 14, 470-478.
Sphaier, L.A., J. Su, R.M. Cotta, and F.A. Kulacki, 2017, Handbook of thermal science and engineering, Springer International Publishing.
Shih, T.C., T.L. Horng, H.W. Huang, K.C. Ju, T.C. Huang, P.Y. Chen, Y.J. Ho, and W.L. Lin, 2012, Numerical analysis of coupled effects of pulsatile blood flow and thermal relaxation time during thermal therapy, Int. J. Heat Mass Transf.55, 3763–3773.
Srivastava, V.P. and R. Srivastava, 2009, Particulate suspension blood flow through a narrow catheterized artery, Comput. Math. Appl.58, 227–238.
Tomiyama, A., 1998, Struggle with computational bubble dynamics, Multiphas. Sci. Tech.10, 369–405.
Wojnarowski, J., 2001, Numerical study of bileaf heart valves performance, International Scientific Practical Conference: Efficiency of Engineering Education in XX Century, Ukraine, Donetsk.
Yilmaz, F. and M.Y. Gundogdu, 2008, A critical review on blood flow in large arteries; relevance to blood rheology, viscosity models, and physiologic conditions, Korea Aust. Rheol. J.20, 197–211.
Yilmaz, F. and M.Y. Gundogdu, 2009, Analysis of conventional drag and lift models for multiphase CFD modeling of blood flow, Korea-Aust. Rheol. J.21, 161–173.
Young, T., 1808, XIII. Hydraulic investigations, subservient to an intended Croonian Lecture on the motion of the blood, Philos. Trans. R. Soc. Lond. B.98, 164–186.