Skip to main content
SpringerLink
Log in

Influence of Second-Order Partial Slip Conditions on Peristaltic Transport of MHD Pseudoplastic Fluid with Suction and Injection

  • SCIENTIFIC RESEARCH PAPER
  • Published:
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Aims and scope Submit manuscript

Abstract

This article deals with the influence of second-order partial slip conditions on peristaltic transport of MHD pseudoplastic fluid with suction and injection. The analytical solution for the frictional force and pressure rate has been evaluated by the techniques of perturbation under the assumption of long wavelength and low Reynolds number. The result of different physical parameters on pressure rate and frictional force is obtained graphically by using MATHEMATICA software. We note that the higher pressure against acts as a pump is further enhanced by increasing magnetic parameter M. As the perturbation parameter ξ increases, the pumping rate tends to increase as well. The velocity profile is decreased by increasing the values of the partial slip parameter \({\beta }_{1}\) and the complete slip parameter \({\beta }_{2}\). The pseudoplastic fluid responds well to an increase in the suction and injection parameter k, which tends to improve the pressure gradient throughout the entire region.

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
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22

Similar content being viewed by others

References

  1. Raju KK, Devanathan R (1972) Peristaltic motion of a non-Newtonian fluid. Rheological Acta 11:170–178

    Article  MATH  Google Scholar 

  2. Sreenadh S, Arunachalam PV (1986) Couette flow between two permeable beds with suction and injection. Proc Natl Acad Sci 56:229–235

    MATH  Google Scholar 

  3. Noreen S, Hayat T, Alsaedi A (2011) Study of slip and induced magnetic field on the peristaltic flow of pseudoplastic fluid. Int J Phys Sci 6(36):8018–8026

    Article  Google Scholar 

  4. Kavitha A, Reddy RH, Srinivas ANS, Sreenadh S, Saravana R (2012) Peristaltic pumping of Jeffrey fluid between the porous walls with suction and injection. International Journal of Mechanical and Materials Engineering 7(2):152–157

    Google Scholar 

  5. Hina S, Mustafa M, Hayat T, Alsaedi A (2013) Peristaltic flow of pseudoplastic fluid in a curved channel with wall properties. J Appl Mech 80(2):024501

    Article  MATH  Google Scholar 

  6. Noreen S, Hayat T, Alsaedi A (2013) MHD Peristaltic flow of a Pseudoplastic fluid in a curved channel. Z Naturforch 68:380–390

    Article  ADS  Google Scholar 

  7. Hina S, Hayat T, Mustafa M, Alsaedi A (2014) Peristaltic transport of pseudoplastic fluid in a curved channel with wall properties and slip conditions. Int J Biomath 7(2):1450015

    Article  MathSciNet  MATH  Google Scholar 

  8. Hina S, Mustafa M, Hayat T, Alotaibi ND (2015) On peristaltic motion of pseudoplastic fluid in a curved channel with heat/mass transfer and wall properties. Appl Math Comput 263:378–391

    MathSciNet  MATH  Google Scholar 

  9. Khan AA, Muhammad S, Ellahi R, Zia ZQM (2016) Bionic study of variable viscosity on MHD peristaltic flow of pseudoplastic fluid in an asymmetric channel. J Magn 21(2):273–280

    Article  Google Scholar 

  10. Hayat T, Iqbal R, Tanveer A, Alsaedi A (2016) Variable viscosity effect on MHD peristaltic flow of pseudoplastic fluid in a tapered asymmetric channel. J Mech 34(3):363–374

    Article  Google Scholar 

  11. Safia A, Sohail N (2017) Influence of nanoparticles phenomena on the peristaltic flow of pseudoplastic fluid in an inclined Asymmetric channel with different wave forms. Iran J Chem Eng 36(2).

  12. Goud S, Reddy RH (2017) Peristaltic transport of pseudoplastic fluid bounded by permeable walls with suction and injection. Int J Pure Appl Math 113(6):289–297

    Google Scholar 

  13. Vajravelu K, Sreenadh S, Saravana R (2017) Influence of velocity slip and temperature jump conditions on the peristaltic flow of a Jeffrey fluid in contact with newtonian fluid. Appl Math Nonlinear Sci 2(2):429–442

    Article  MathSciNet  MATH  Google Scholar 

  14. Abbas Z, Rafiq MY, Alshomrani AS, Ullah MZ (2021) Analysis of entropy generation on peristaltic phenomena of MHD slip flow of viscous fluid in a diverging tube. Case Stud Thermal Eng 23:100817

    Article  Google Scholar 

  15. Noreen S, Zahra M, Lu DC (2022) Pseudoplastic fluid flow via electroosmotic and peristaltic pumping. Waves in Random and Complex Media. https://doi.org/10.1080/17455030.2022.2155727

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Thiruvalam Road, Vellore, Tamilnadu, 632014, India

    R. Lakshmi & A. Kavitha

Authors
  1. R. Lakshmi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Kavitha
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Kavitha.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lakshmi, R., Kavitha, A. Influence of Second-Order Partial Slip Conditions on Peristaltic Transport of MHD Pseudoplastic Fluid with Suction and Injection. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 93, 621–630 (2023). https://doi.org/10.1007/s40010-023-00846-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40010-023-00846-8

Keywords

Search

Navigation