Skip to main content
SpringerLink
Log in

Peristaltic flow of MHD Jeffery nanofluid in curved channel with convective boundary conditions: a numerical study

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

The purpose of present work is to investigate the magnetohydrodynamic aspect in peristalsis of Jeffery nanofluid in curved channel. Heat transfer analysis comprised thermal radiation while the mass transfer has been discussed in terms of thermophoresis, Brownian motion and chemical reaction. With reference to blood flow in circular compliant arteries the curved channel boundaries are considered flexible. Moreover flow equations are formulated under more general approach of convective boundary conditions. Inertial effects have been neglected by small Reynolds number and large wavelength considerations. The detailed physical interpretation of velocity, temperature, nanoparticles mass transfer and heat transfer rate has been presented toward different emerging parameters. The recorded results indicate non-symmetric behavior of velocity in curved channel. Further Brownian motion and thermophoresis impacts on the temperature and mass transfer of nanoparticles are found contradictory. In addition magnetic field causes reduction in velocity and temperature of fluid.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Bhatti MM, Zeeshan A, Ijaz N (2016) Slip effects and endoscopy analysis on blood flow of particle-fluid suspension induced by peristaltic wave. J Mol Liq 218:240–245

    Article  Google Scholar 

  2. Pandy SK, Chaube MK (2011) Study of wall properties on peristaltic transport of a couple stress fluid. Meccanica 46:1319–1330

    Article  MathSciNet  MATH  Google Scholar 

  3. Abd-Alla AM, Yahya GA, Mahmoud SR, Alosaimi SH (2012) Effect of the rotation, magnetic field and initial stress on peristaltic motion of micropolar fluid. Meccanica 47:1455–1465

    Article  MathSciNet  MATH  Google Scholar 

  4. Reddy MG, Reddy KV (2015) Influence of Joule heating on MHD peristaltic flow of a nanofluid with compliant walls. Proc Eng 127:1002–1009

    Article  Google Scholar 

  5. Ellahi R, Bhatti MM, Vafai K (2014) Effects of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct. Int J Heat Mass Transf 71:706–719

    Article  Google Scholar 

  6. Hayat T, Tanveer A, Yasmin H, Alsaedi A (2014) Effects of convective conditions and chemical reaction on peristaltic flow of Eyring-Powell fluid. Appl Bion Biomech 11:221–233

    Article  Google Scholar 

  7. Tripathi D, Bég OA (2014) A study on peristaltic flow of nanofluids: application in drug delivery systems. Int J Heat Mass Transf 70:61–70

    Article  Google Scholar 

  8. Ellahi R, Hussain F (2015) Simultaneous effects of MHD and partial slip on peristaltic flow of Jeffery fluid in a rectangular duct. J Magn Magn Mater 393:284–292

    Article  Google Scholar 

  9. Ali N, Javid K, Sajid M, Hayat T (2016) New concept about existence of Hartman boundary layer in peristalsis through curved channel-asymptotic solution. Meccanica 51:1783–1795

    Article  MathSciNet  MATH  Google Scholar 

  10. Narla VK, Prasad KM, Ramanamurdhy JV (2015) Peristaltic transport of Jeffery nanofluid in curved channels. Int Conf Comput Heat Mass Transf 127:869–876

    Google Scholar 

  11. Hayat T, Tanveer A, Alsaadi F, Mousa G (2016) Impact of radial magnetic field on peristalsis in curved channel with convective boundary conditions. J Magn Magn Mater 403:47–59

    Article  Google Scholar 

  12. Srinivas S, Muthuraj R (2011) Effects of chemical reaction and space porosity on MHD mixed convective flow in a vertical asymmetric channel with peristalsis. Math Comput Model 54:1213–1227

    Article  MathSciNet  MATH  Google Scholar 

  13. Abd-Alla AM, Abo-Dahab SM, El-Shahrany HD (2014) Influence of heat and mass transfer, initial stress and radially varying magnetic field on the peristaltic flow in an annulus with gravity field. J Magn Magn Mater 363:166–178

    Article  Google Scholar 

  14. Shehzad SA, Abbasi FM, Hayat T, Alsaadi F (2014) MHD mixed convective peristaltic motion of nanofluid with Joule heating and thermophoresis effects. PLoS ONE. doi:10.1371/journal.pone.0111417

    Google Scholar 

  15. Hayat T, Abbasi FM, Ahmad B, Alsaedi A (2014) MHD mixed convection peristaltic flow with variable viscosity and thermal conductivity. Sains Malays 43:1583–1590

    Google Scholar 

  16. Mustafa M, Abbasbandy S, Hina S, Hayat T (2014) Numerical investigation on mixed convective peristaltic flow of fourth grade fluid with Dufour and Soret effects. J Taiwan Inst Chem Eng 45:308–316

    Article  Google Scholar 

  17. Srinivas S, Gayathri R, Kothandapani M (2011) Mixed convective heat and mass transfer in an asymmetric channel with peristalsis. Commun Nonlinear Sci Numer Simul 16:1845–1862

    Article  MathSciNet  MATH  Google Scholar 

  18. Choi SUS (1995) Enhancing thermal conductivity of fluid with nanoparticles developments and applications of non-Newtonian flow. ASME FED 66:99–105

    Google Scholar 

  19. Buongiorno J (2006) Convective transport in nanofluids. ASME J Heat Transf 128:240–250

    Article  Google Scholar 

  20. Buongiorno J, Hu W (2005) Nanofluid coolants for advanced nuclear power plants. In: Proceedings of ICAPP’05, Seoul, 15–19

  21. Sheikholeslami M, Gorji-Bandpy M, Ganji DD, Soleimani M (2014) MHD natural convection in a nanofluid filled inclined enclosure with sinusoidal wall using CVFEM. Neural Comput Appl 24:873–884

    Article  Google Scholar 

  22. Hayat T, Nisar Z, Yasmin H, Alsaedi A (2016) Peristaltic transport of nanofluid in a compliant wall channel with convective conditions and thermal radiation. J Mol Liq 220:448–453

    Article  Google Scholar 

  23. Khan U, Ahmed N, Mohyud-Din ST, Bin-Mohsin B (2016) Nonlinear radiation effects on MHD flow of nanofluid over a nonlinearly stretching/shrinking wedge. Neural Comput Appl. doi:10.1007/s00521-016-2187-x

    Google Scholar 

  24. Sheikholeslami M, Rashidi MM, Hayat T, Ganji DD (2016) Free convection of magnetic nanofluid considering MFD viscosity effect. J Mol Liq 218:393–399

    Article  Google Scholar 

  25. Turkyilmazoglu M, Pop I (2013) Heat and mass transfer of unsteady natural convection flow of some nanofluids past a vertical infinite flat plate with radiation effect. Int J Heat Mass Transf 59:167–171

    Article  Google Scholar 

  26. Zheng L, Zhang C, Zhang X, Zhang J (2013) Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium. J Franklin Inst 350:990–1007

    Article  MathSciNet  MATH  Google Scholar 

  27. Hayat T, Iqbal R, Tanveer A, Alsaedi A (2016) Influence of convective conditions in radiative peristaltic flow of pseudoplastic nanofluid in a tapered asymmetric channel. J Magn Magn Mater 408:168–176

    Article  Google Scholar 

  28. Turkyilmazoglu M (2015) Analytical solutions of single and multi-phase models for the condensation of nanofluid film flow and heat transfer. Eur J Mech B Fluids 53:272–277

    Article  MathSciNet  Google Scholar 

  29. Rahman RU, Ellahi R, Nadeem S, Zaigham Zia QM (2016) Simultaneous effects of nanoparticles and slip on Jeffrey fluid through tapered artery with mild stenosis. J Mol Liq 218:484–493

    Article  Google Scholar 

  30. Akbarzadeh M, Rashidi S, Boyand M, Ellahi R (2016) A sensitivity analysis on thermal and pumping power for the flow of nanofluid inside a wavy channel. J Mol Liq 220:1–13

    Article  Google Scholar 

  31. Sheikholeslami M, Ellahi R (2015) Electrohydrodynamic nanofluid hydrothermal treatment in an enclosure with sinusoidal upper wall. Appl Sci 5:294–306

    Article  Google Scholar 

  32. Akbar NS, Raza M, Ellahi R (2016) Copper oxide nanoparticles analysis with water as base fluid for peristaltic flow in permeable tube with heat transfer. Comput Methods Programs Biomed 130:22–30

    Article  Google Scholar 

  33. Sheikholeslami M, Ellahi R (2015) Three dimensional mesoscopic simulation of magnetic field effect on natural convection of nanofluid. Int J Heat Mass Transf 89:799–808

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan

    Anum Tanveer & T. Hayat

  2. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

Authors
  1. Anum Tanveer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Hayat
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Alsaedi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Anum Tanveer.

Ethics declarations

Conflict of interest

The corresponding author on behalf of all authors declares “no conflict of interest” with anyone.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tanveer, A., Hayat, T. & Alsaedi, A. Peristaltic flow of MHD Jeffery nanofluid in curved channel with convective boundary conditions: a numerical study. Neural Comput & Applic 30, 437–446 (2018). https://doi.org/10.1007/s00521-016-2705-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-016-2705-x

Keywords

Search

Navigation