Skip to main content
SpringerLink
Log in

Effects of Hall current and ion-slip on the peristaltic motion of couple stress fluid with thermal deposition

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

Abstract

This paper explores the peristaltic motion of couple stress fluid in an inclined asymmetric channel relevant to blood arteries. Mathematical modeling is developed under the Hall and ion-slip aspects. Further to explore heat and mass transfer mechanism thermal deposition, Joule heating, and chemical reaction effects are also outlined. In addition channel boundaries are set to convective conditions. After invoking long wavelength and low Reynolds number, the resulting non-linear system has been approximated numerically. Thus graphical illustrations subject to axial velocity, temperature, concentration, and heat transfer rate have been sketched and physical interpretation for emerging variables of interest is made. The significant feature of this study reveals the activation of velocity and reduction of temperature with larger Hall and ion-slip parameters. The heat and mass transfer Biot numbers show opposite behavior towards temperature.

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
Fig. 5

Similar content being viewed by others

References

  1. Latham TW (1966) Fluid motion in peristaltic pump. MS Thesis, MIT Cambridge, MA

  2. Shapiro AH, Jaffrin MY, Weinberg SL (1969) Peristaltic pumping with long wavelengths at low Reynolds number. J Fluid Mech 37:799–825

    Article  Google Scholar 

  3. Narla VK, Prasad KM, Ramanamurthy JV (2015) Peristaltic transport of Jeffrey nanofluid in curved channels. Process Eng 127:869–876

    Google Scholar 

  4. Hayat T, Bibi A, Yasmin H, Ahmad B (2016) Simultaneous effects of Hall current and homogeneous/heterogeneous reactions on peristalsis. J Taiwan Inst Chem Eng 58:28–38

    Article  Google Scholar 

  5. Aman S, Khan I, Ismail Z, Salleh MZ (2016) Impacts of gold nanoparticles on MHD mixed convection Poiseuille flow of nanofluid passing through a porous medium in the presence of thermal radiation, thermal diffusion and chemical reaction. Neural Comput Appl. doi:10.1007/s00521-016-2688-7

    Google Scholar 

  6. Elmaboud YA, Mekheimer KS, Mohamed MS (2015) Series solution of a natural convection flow for a Carreau fluid in a vertical channel with peristalsis. J Hydrodyn 27:969–979

    Article  Google Scholar 

  7. Hina S, Mustafa M, Hayat T, Alsaedi A (2016) Peristaltic flow of Powell-Eyring fluid in curved channel with heat transfer: a useful application in biomedicine. Comput Methods Prog Biomed 135:89–100

    Article  Google Scholar 

  8. Tanveer A, Hayat T, Alsaedi A (2016) Peristaltic flow of MHD Jeffery nanofluid in curved channel with convective boundary conditions: a numerical study. Neural Comput Appl. doi:10.1007/s00521-016-2705-x

    Google Scholar 

  9. 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 Frankl Inst 350:990–1007

    Article  MathSciNet  MATH  Google Scholar 

  10. Bhatti MM, Ellahi R, Zeeshan A (2016) Study of variable magnetic field on the peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct having compliant walls. J Mol Liq 222:101–108

    Article  Google Scholar 

  11. Reddy MG (2016) Heat and mass transfer on magnetohydrodynamic peristaltic flow in a porous medium with partial slip. Alex Eng J 55:1225–1234

    Article  Google Scholar 

  12. Lin Y, Zheng L, Zhang X (2014) Radiation effects on Marangoni convection flow and heat transfer in pseudo-plastic non-Newtonian nanofluids with variable thermal conductivity. Int J Heat Mass Transf 77:708–716

    Article  Google Scholar 

  13. Hayat T, Ahmed B, Abbasi FM, Ahmad B (2016) Mixed convective peristaltic flow of carbon nanotubes submerged in water using different thermal conductivity models. Comput Methods Prog Biomed 135:141–150

    Article  Google Scholar 

  14. Hayat T, Abbasi FM, Al-Yami M, Monaquel S (2014) Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects. J Mol Liq 194:93–99

    Article  Google Scholar 

  15. Abbasi FM, Shehzad SA, Hayat T, Ahmad B (2016) Doubly stratified mixed convection flow of Maxwell nanofluid with heat generation/absorption. J Magn Magn Mater 404:159–165

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  17. 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 

  18. Hayat T, Iqbal R, Tanveer A, Alsaed A (2016) Soret and Dufour effects in MHD peristalsis of pseudoplastic nanofluid with chemical reaction. J Mol Liq 220:693–706

    Article  Google Scholar 

  19. Lin Y, Zheng L, Zhang X, Chen G (2015) MHD pseudo-plastic nanofluids unsteady flow and heat transfer in a finite thin film over stretching sheet with internal heat generation. Int J Heat Mass Transf 84:903–911

    Article  Google Scholar 

  20. Ramesh K, Devakar M (2015) The influence of heat transfer on peristaltic transport of MHD second grade fluid through porous medium in a vertical asymmetric channel. J Appl Fluid Mech 8:351–365

    Article  Google Scholar 

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

    Google Scholar 

  22. Zhang X, Zheng L (2012) Analysis of MHD thermosolutal Maragoni convection with heat generation and a first order chemical reaction. Chem Eng Sci 69:449–455

    Article  Google Scholar 

  23. Stokes VK (1966) Couple stresses in fluids. Phys Fluids 9:1709–1715

    Article  Google Scholar 

  24. Devakar M, Iyengar V (2008) Stokes problems for an incompressible couple stress fluid. Nonlinear Anal Model Control 181–190

  25. Devakar M, Sareemvasu D, Shankar B (2014) Analytical solutions of couple stress fluid flows with slip boundary conditions. Alex Eng J 53:723–730

    Article  Google Scholar 

  26. Eldahab EA, Barakat EI, Nowar KI (2010) Hall and ion slip effects on MHD peristaltic transport. Int J Appl Math Phys 2:113–123

    Google Scholar 

  27. Srinivasacharya D, Kaladhar K (2013) Analytical solution for Hall and ion-slip effects on mixed convection flow of couple stress fluid between parallel disks. Math Comput Model 57:2494–2509

    Article  MathSciNet  MATH  Google Scholar 

  28. Uddin Z, Kumar M (2013) Hall and ion-slip effect on MHD boundary layer flow of a micro polar fluid past a wedge. Sci Iran 20:467–476

    Google Scholar 

  29. Hayat T, Zahir H, Tanveer A, Alsaedi A (2016) Influences of Hall current and chemical reaction in mixed convective peristaltic flow of Prandtl fluid. J Magn Magn Mater 407:321–327

    Article  Google Scholar 

  30. Hayat T, Rafiq M, Ahmad B (2016) Influences of rotation and thermophoresis on MHD peristaltic transport of Jeffrey fluid with convective conditions and wall properties. J Magn Magn Mater 410:89–99

    Article  Google Scholar 

  31. Khan N, Mahmood T (2016) Thermophoresis particle deposition and internal heat generation on MHD flow of an Oldroyd-B nanofluid between radiative stretching disks. J Mol Liq 216:571–582

    Article  Google Scholar 

  32. Shehzad SA, Alsaedi A, Hayat T, Alhuthali MS (2014) Thermophoresis particle deposition in mixed convection three-dimensional radiative flow of an Oldroyd-B fluid. J Taiwan Inst Chem Eng 45:787–794

    Article  Google Scholar 

  33. Mishra M, Rao AR (2003) Peristaltic transport of a Newtonian fluid in an asymmetric channel. Z Angew Math Phys 54:532–550

    Article  MathSciNet  MATH  Google Scholar 

  34. Ghara N, Maji SL, Das S, Jana R, Ghosh SK (2011) Effects of Hall current and ion-slip on unsteady MHD Couette flow. Open J Fluid Dyn 2:1–13

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Tasawar Hayat, Sabia Asghar & Anum Tanveer

  2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Tasawar Hayat & Ahmed Alsaedi

Authors
  1. Tasawar Hayat
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sabia Asghar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Anum Tanveer
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ahmed 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 authors declare that they have no conflict of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hayat, T., Asghar, S., Tanveer, A. et al. Effects of Hall current and ion-slip on the peristaltic motion of couple stress fluid with thermal deposition. Neural Comput & Applic 31, 117–126 (2019). https://doi.org/10.1007/s00521-017-2984-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-017-2984-x

Keywords

Search

Navigation