Skip to main content
SpringerLink
Log in

Peristaltic flow in an asymmetric channel with convective boundary conditions and Joule heating

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

The peristaltic transport of viscous fluid in an asymmetric channel is concentrated. The channel walls exhibit convective boundary conditions. Both cases of hydrodynamic and magnetohydrodynamic (MHD) fluids are considered. Mathematical analysis has been presented in a wave frame of reference. The resulting problems are non-dimensionalized. Long wavelength and low Reynolds number approximations are employed. Joule heating effect on the thermal equation is retained. Analytic solutions for stream function and temperature are constructed. Numerical integration is carried out for pressure rise per wavelength. Effects of influential flow parameters have been pointed out through graphs.

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

Similar content being viewed by others

References

  1. LATHAM T W. Fluid motion in a peristaltic pump [D]. Cambridge: Massachusetts Institute of Technology, MA, USA, 1966.

    Google Scholar 

  2. MEKHEIMER K S. Effect of the induced magnetic field on peristaltic flow of a couple stress fluid [J]. Physics Letters A, 2008, 372: 4271–4278.

    Article  MATH  Google Scholar 

  3. ABD ELMABOUD Y, MEKHEIMER K S. Non-linear peristaltic transport of a second-order fluid through a porous medium [J]. Applied Mathematical Modelling, 2011, 35: 2695–2710.

    Article  MATH  MathSciNet  Google Scholar 

  4. EBAID A. Effects of magnetic field and wall slip conditions on the peristaltic transport of a Newtonian fluid in an asymmetric channel [J]. Physics Letters A, 2008, 372: 4493–4499.

    Article  MATH  MathSciNet  Google Scholar 

  5. HAYAT T, ASGHAR Z, ASGHAR S, MESLOUB S. Influence of inclined magnetic field on peristaltic transport of fourth grade fluid in an inclined asymmetric channel [J]. Journal of the Taiwan Institute of Chemical Engineers, 2010, 5: 553–563.

    Article  Google Scholar 

  6. SRINIVAS S, PUSHPARAJ V. Non-linear peristaltic transport in an inclined asymmetric channel [J]. Communications in Nonlinear Science and Numerical Simulation, 2008, 13: 1782–1795.

    Article  Google Scholar 

  7. YILDIRIM A, SEZER S A. Effects of partial slip on the peristaltic flow of a MHD Newtonian fluid in an asymmetric channel [J]. Mathematical and Computer Modelling, 2010, 52: 648–625.

    Article  MathSciNet  Google Scholar 

  8. HAYAT T, SALEEM N, ALI N. Effect of induced magnetic field on peristaltic transport of a Carreau fluid [J]. Communications in Nonlinear Science and Numerical Simulation, 2010, 15: 2407–2423.

    Article  MATH  MathSciNet  Google Scholar 

  9. HAYAT T, ABBASI F M. Variable viscosity effects on the peristaltic motion of a third order fluid [J]. International Journal for Numerical Methods in Fluids, 2011, 67: 1500–1515.

    Article  MATH  Google Scholar 

  10. WANG Y, ALI N, HAYAT T, OBERLACK M. Peristaltic motion of a magnetohydrodynamic micropolar fluid in a tube [J]. Appl Math Modelling, 2011, 35: 3737–3750.

    Article  MATH  MathSciNet  Google Scholar 

  11. VAJRAVELU K, SREENADH S, LAKSHMINARAYANA P. The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum [J]. Communications in Nonlinear Science and Numerical Simulation, 2011, 16: 3107–3125.

    Article  MATH  MathSciNet  Google Scholar 

  12. AKBAR N, HAYAT T, NADEEM S, OBAIDAT S. Peristaltic flow of a Williamson fluid in an inclined asymmetric channel with partial slip and heat transfer [J]. International Journal of Heat and Mass Transfer, 2012, 55: 1855–1862.

    Article  Google Scholar 

  13. HAYAT T, NOREEN S. Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field [J]. C. R. Mecanique, 2010, 338: 518–528.

    Article  MATH  Google Scholar 

  14. HAYAT T, ABBASI F M, AWATIF A, HENDI. Heat transfer analysis for peristaltic mechanism in variable viscosity fluid [J]. Chinese Physics Letters, 2011, 28: 044701.

    Article  Google Scholar 

  15. TRIPATHI D. A mathematical model for swallowing of food bolus through the oesophagus under the influence of heat transfer [J]. International Journal of Thermal Sciences, 2012, 51: 91–101.

    Article  Google Scholar 

  16. HINA S, HAYAT T, ASGHAR S, HENDI A A. Influence of compliant walls on peristaltic motion with heat/mass transfer and chemical reaction [J]. International Journal of Heat and Mass Transfer, 2012, 55: 3386–3394.

    Article  Google Scholar 

  17. HAYAT T, NOREEN S, ALHOTHUALI M, ASGHAR S, ALHOMAIDAN A. Peristaltic flow under the effects of an induced magnetic field and heat and mass transfer [J]. International Journal of Heat and Mass Transfer, 2012, 55: 443–452.

    Article  MATH  Google Scholar 

  18. ABBASI F M, HAYAT T, ALSAEDI A, AHMED B. Soret and Dufour effects on peristaltic transport of MHD fluid with variable viscosity [J]. Appl Math Inf Sci, 2014, 8: 211–219.

    Article  Google Scholar 

  19. HAYAT T, ABBASI F M, OBAIDAT S. Peristaltic motion with Soret and Dufour effects [J]. Magnetohydrodynamics, 2011, 47: 295–302.

    Google Scholar 

  20. MUSTAFA M, HINA S, HAYAT T, ALSAEDI A. Influence of wall properties on the peristaltic flow of a nanofluid: Analytic and numerical solutions [J]. International Journal of Heat and Mass Transfer, 2012, 55: 4871–4877.

    Article  Google Scholar 

  21. AKBAR N S, NADEEM S, HAYAT T. Simulation of thermal and velocity slip on the peristaltic flow of a Johnson-Segalman fluid in an inclined asymmetric channel [J]. International Journal of Heat and Mass Transfer, 2012, 55: 5495–5502.

    Article  Google Scholar 

  22. KOTHANDAPANI M, SRINIVAS S. Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel [J]. International Journal of Non-Linear Mechanics, 2008, 43: 915–924.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Abbasi Fahad Munir & Hayat Tasawar

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

    Hayat Tasawar & Ahmad Bashir

Authors
  1. Abbasi Fahad Munir
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hayat Tasawar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ahmad Bashir
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Abbasi Fahad Munir.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Munir, A.F., Tasawar, H. & Bashir, A. Peristaltic flow in an asymmetric channel with convective boundary conditions and Joule heating. J. Cent. South Univ. 21, 1411–1416 (2014). https://doi.org/10.1007/s11771-014-2079-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-014-2079-0

Key words

Search

Navigation