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A Numerical Investigation of Blood Flow in an Arterial Segment with Periodic Body Acceleration

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Mathematical Analysis and its Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 143))

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Abstract

A fluid convection flow driven by a periodic body acceleration with thermal stratification in an arterial cross section filled with an incompressible Newtonian fluid (blood) is studied. A two-dimensional computational visualization technique is used to study the steady flow behavior of the viscous electrically conducting fluid flow. The driving force is generated by putting an external magnetic field in the transverse direction of the flow. A numerical method based on the pressure correction iterative algorithm (SIMPLE) is adopted to compute the flow field and temperature along the arterial cross section. Variation over a wide range of parameters such as Prandtl number, Hartmann number, and Womersley number have been investigated for the flow and heat transfer characteristics.

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References

  1. Berger, S.A., Talbot, L., Yao, L.S.: Flow in curved pipes. Annu. Rev. Fluid Mech. 15, 461–512 (1983)

    Article  Google Scholar 

  2. Fukada, E., Kaibara, M.: Viscoelastic study of aggregation of red blood cells. Biorheology 17, 17782 (1980)

    Google Scholar 

  3. Fung, Y.C., Zweifach, B.W.: Microcirculation, mechanics of blood flow in capillaries. Annu. Rev. Fluid Mech. 3, 189–210 (1971)

    Article  Google Scholar 

  4. Gebhart, B., Pera, L.: The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion. Int. J. Heat Mass Transf. 14, 2025–2050 (1971)

    Article  MATH  Google Scholar 

  5. Jones, R.T.: Blood flow. Annu. Rev. Fluid Mech. 1, 223–244 (1969)

    Article  Google Scholar 

  6. Leonard, B.P.: A stable and accurate convective modeling procedure based on quadratic upstream interpolation. Comput. Meth. Appl. Mech. Eng. 19, 59–98 (1979)

    Article  MATH  Google Scholar 

  7. Lima, R., Imai, Y., Ishikawa, T., Takeda, M., Tanaka, S., Tsubota, K., Wada, S., Yamaguchi, T.: In vitro blood flow in a rectangular PDMS microchannel experimental observations using a confocal micro-PIV system. Biomed. Microdevices 10(2), 153–167 (2008)

    Article  Google Scholar 

  8. Misra, J.C., Shit, G.C.: Effect of magnetic field on blood flow through an artery: A numerical model. Comput. Technol. 12, 3–16 (2007)

    MATH  Google Scholar 

  9. Misra, J.C., Chandra, S., Kundu, P.K., Shit, G.C.: Hydromagnetic flow and heat transfer of a second-grade viscoelastic fluid in a channel with oscillatory stretching walls. J. Eng. Math. 69, 91–100 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  10. Ogulu, A., Amos, E.: Modeling pulsatile blood flow within a homogeneous porous bed in the presence of a uniform magnetic field and time-dependent suction. Int. Commun. Heat Mass Transf. 34, 989–995 (2007)

    Article  Google Scholar 

  11. Shyy, W., Thakur, S., Wright, J.: Second-order upwind and central difference schemes for recirculating computation. AIAA J. 30, 923–932 (1992)

    Article  MATH  Google Scholar 

  12. Stoltz, J.F., Lucius, M.: Viscoelasticity and thixotropy of human blood. Biorheology. 18, 45373 (1981)

    Google Scholar 

  13. Tashtoush, B., Magableh, A.: Magnetic field effect on heat transfer and fluid flow characteristics of blood flow in multi-stenosis arteries. Heat Mass Transf. 44, 297–304 (2008)

    Article  Google Scholar 

  14. Taylor, C.A., Draney, M.T.: Experimental and computational methods in cardiovascular fluid mechanics. Annu. Rev. Fluid Mech. 36, 197–231 (2004)

    Article  MathSciNet  Google Scholar 

  15. Thurston, G.B.: Viscoelasticity of human blood. Biophys. J. 12, 120517 (1972)

    MATH  Google Scholar 

  16. Tzirtzilakis, E.E.: A mathematical model for blood flow in magnetic field. Phys. Fluids. 17, 077103 (2005)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Utkal University, Bhubaneswar, 751 004, India

    Mamata Parida

  2. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247 667, India

    Ameeya K. Nayak

Authors
  1. Mamata Parida
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  2. Ameeya K. Nayak
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Corresponding author

Correspondence to Mamata Parida .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    P. N. Agrawal

  2. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    R. N. Mohapatra

  3. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Uaday Singh

  4. Dept. of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    H. M. Srivastava

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Parida, M., Nayak, A.K. (2015). A Numerical Investigation of Blood Flow in an Arterial Segment with Periodic Body Acceleration. In: Agrawal, P., Mohapatra, R., Singh, U., Srivastava, H. (eds) Mathematical Analysis and its Applications. Springer Proceedings in Mathematics & Statistics, vol 143. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2485-3_40

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