Skip to main content
Log in

Effect of periodic body acceleration and pulsatile pressure gradient pressure on non-Newtonian blood flow in arteries

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

In this paper, flow analysis for a non-Newtonian third-grade fluid in coronary and femoral arteries is simulated numerically. The fluid is considered as a third-grade non-Newtonian fluid under periodic body acceleration motion and pulsatile pressure gradient. DuFort–Frankel and Crank–Nicholson methods are used to solve the PDE of the governing equation and a good agreement between them was observed in the results. The influences of some physical parameters such as amplitude, lead angle and body acceleration frequency on velocity and shear stress profiles are considered. For instance, the results show that increasing the amplitude and reducing the lead angle of body acceleration, make higher velocity profiles in the center line of both arteries. Also, the maximum wall shear stress increases when the amplitude increases.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Baieth HEA (2008) Physical parameters of blood as a non-newtonian fluid. Int J Biomed Sci 4

  2. Ogulu A, Amos E (2007) 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

    Article  Google Scholar 

  3. Kumar KP, Paul W, Sharma CP (2011) Green synthesis of gold nanoparticles with Zingiber officinale extract: Characterization and blood compatibility. Process Biochem 46(10):2007–2013

    Article  Google Scholar 

  4. Hatami M, Hatami J, Ganji DD (2014) Computer simulation of MHD blood conveying gold nanoparticles as a third grade non-Newtonian nanofluid in a hollow porous vessel. Comput Methods Programs Biomed 113:632–641

    Article  Google Scholar 

  5. Moyers-Gonzalez MA, Owens RG, Fang J (2008) A non-homogeneous constitutive model for human blood. Part III: oscillatory flow. J Non-Newtonian Fluid Mech 155:161–173

    Article  MATH  Google Scholar 

  6. Misra JC, Shit GC, Chandra S, Kundu PK (2011) Hydromagnetic flow and heat transfer of a second-grade viscoelastic fluid in a channel with oscillatory stretching walls: application to the dynamics of blood flow. J Eng Math 69:91–100. doi:10.1007/s10665-010-9376-x

    Article  MathSciNet  MATH  Google Scholar 

  7. Massoudi M, Phuoc TX (2008) Pulsatile flow of blood using a modified second-grade fluid model. Comput Math Appl 56:199–211

    Article  MathSciNet  MATH  Google Scholar 

  8. Majhi SN, Nair VR (1994) Pulsatile flow of third grade fluids under body acceleration-modelling blood flow. Int J Eng Sci 32(5):839–846

    Article  MATH  Google Scholar 

  9. Aziz A, Aziz T (2012) MHD flow of a third grade fluid in a porous half space with plate suction or injection: an analytical approach. Appl Math Comput 218:10443–10453

    Article  MathSciNet  MATH  Google Scholar 

  10. Asghar S, Hanif K, Hayat T, Khalique CM (2007) MHD non-Newtonian flow due to non-coaxial rotations of an accelerated disk and a fluid at infinity. Commun Nonlinear Sci Numer Simul 12:465–485

    Article  MathSciNet  MATH  Google Scholar 

  11. Keimanesha M, Rashidi MM, Chamkha AJ, Jafari R (2011) Study of a third grade non-Newtonian fluid flow between two parallel plates using the multi-step differential transform method. Comput Math Appl 62:2871–2891

    Article  MathSciNet  Google Scholar 

  12. Baoku IG, Olajuwon BI, Mustapha AO (2013) Heat and mass transfer on a MHD third grade fluid with partial slip flow past an infinite vertical insulated porous plate in a porous medium. Int J Heat Fluid Flow 40:81–88

    Article  Google Scholar 

  13. Hayat T, Shafiq A, Alsaedi A, Awais M (2013) MHD axisymmetric flow of third grade fluid between stretching sheets with heat transfer. Comput Fluids 86:103–108

    Article  MathSciNet  MATH  Google Scholar 

  14. Hayat T, Hina S, Hendi AA, Asghar S (2011) Effect of wall properties on the peristaltic flow of a third grade fluid in a curved channel with heat and mass transfer. Int J Heat Mass Transf 54:5126–5136

    Article  MATH  Google Scholar 

  15. Hayat T, Haroon T, Asghar S, Siddiqui AM (2003) MHD flow of a third-grade fluid due to eccentric rotations of a porous disk and a fluid at infinity. Int J Non-Linear Mech 38:501–511

    Article  MATH  Google Scholar 

  16. Hayat T, Mustafa M, Asghar S (2010) Unsteady flow with heat and mass transfer of a third grade fluid over a stretching surface in the presence of chemical reaction. Nonlinear Anal Real World Appl 11:3186–3197

    Article  MathSciNet  MATH  Google Scholar 

  17. Ellahi R, Raza M, Vafai K (2012) Series solutions of non-Newtonian nanofluids with Reynolds’ model and Vogel’s model by means of the homotopy analysis method. Math Comput Model 55:1876–1891

    Article  MathSciNet  MATH  Google Scholar 

  18. Ellahi R, Zeeshan A, Vafai K, Rahman HU (2011) Series solutions for magnetohydrodynamic flow of non-Newtonian nanofluid and heat transfer in coaxial porous cylinder with slip conditions. Proc IMechE Part N J Nanoeng Nanosys 225(3):123–132

    Google Scholar 

  19. Hatami M, Ganji DD (2013) Heat transfer and flow analysis for SA-TiO2 non-Newtonian nanofluid passing through the porous media between two coaxial cylinders. J Mol Liq 188:155–161

    Article  Google Scholar 

  20. Bird RB, Stewart WE, Ligtfoot EN (1960) Transport phenomena. Wiley, New York

    Google Scholar 

  21. Burton AC (1966) Physiology and biophysics of the circulation. Year Book Medical Publisher, Chicago

    Google Scholar 

  22. Tannehill JC, Anderson DA, Pletcher RH (1997) Computational fluid mechanics and heat transfer. Taylor and Francis, London

    Google Scholar 

  23. Aziz A (2006) Heat conduction with maple. R.T. Edwards, Philadelphia

    Google Scholar 

  24. Mcdonald DA (1974) Blood flow in arteries, 2nd edn. Edward Arnold, London

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Mosayebidorcheh.

Additional information

Communicated by Marcos Pinotti.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mosayebidorcheh, S., Hatami, M., Mosayebidorcheh, T. et al. Effect of periodic body acceleration and pulsatile pressure gradient pressure on non-Newtonian blood flow in arteries. J Braz. Soc. Mech. Sci. Eng. 38, 703–708 (2016). https://doi.org/10.1007/s40430-015-0404-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40430-015-0404-7

Keywords

Navigation