Skip to main content
SpringerLink
Log in

Flow of carbon nanotubes submerged in water through a channel with wavy walls with convective boundary conditions

  • Original Contribution
  • Published:
Colloid and Polymer Science Aims and scope Submit manuscript

Abstract

Efficient heat transfer characteristics of carbon nanotubes (CNTs) extend the applications of nanofluids in various engineering and biomedical processes. Model for the peristaltic transport of nanofluid through an asymmetric channel is presented here. Analysis is carried out in the presence of viscous dissipation, mixed convection, and heat generation/absorption parameter. Convective heat transfer at the boundaries is also accounted by making use of the effective thermal conductivity of nanofluid. Mathematical modelling has been carried out in view of long wavelength and low Reynolds number approximations. Resulting nonlinear equations are solved for the development of series solutions. Series solutions for small Brinkman number are computed. Effects of sundry parameters on the axial velocity, pressure gradient, pressure rise per wavelength, temperature, streamlines, and heat transfer rate at the boundary are studied through their respective plots. Comparison between single-walled CNTs and multi-walled CNTs is also presented. Results indicate that by adding CNTs to the water, the velocity and temperature are decreased. Further, the heat transfer rate at the boundaries enhances with an increase in the CNT volume fraction. Also, the single-wall carbon nanotubes (SWCNTs) show larger heat transfer rate at the boundary when compared with the multiple-wall carbon nanotubes (MWCNTs).

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
Fig. 23
Fig. 24

Similar content being viewed by others

References

  1. Choi SUS (1995) Enhancing thermal conductivity of fluids with nanoparticles. ASME Fluids Eng Div 231:99–105

    CAS  Google Scholar 

  2. Dong S, Zheng L, Zhang X, Lin P (2014) Improved drag force model and its application in simulating nanofluid flow. Microfluid Nanofluid 17:253–261

    Article  CAS  Google Scholar 

  3. Zhang C, Zheng L, Zhang X, Chen G (2015) MHD Flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction. Appl Math Model 39:165–181

    Article  Google Scholar 

  4. Ellahi R, Hassan M, Zeeshan A (2015) Shape effects of nanosize particles in Cu–H2O nanofluid on entropy generation. I. J. Heat and Mass transfer 81:449–456

    Article  CAS  Google Scholar 

  5. Sheikholeslami M, Ganji DD, Javed MY, Ellahi R (2015) Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model. JMMM 374:36– 43

    Article  CAS  Google Scholar 

  6. Ul Haq R, Nadeem S, Khan ZH, Noor NFM (2015) MHD squeezed flow of water functionalized metallic nanoparticles over a sensor surface. Physica E: Low-dimensional Systems and Nanostructures 73:45–53

    Article  CAS  Google Scholar 

  7. Sasmal C, Nirmalkar N (2016) Momentum and heat transfer characteristics from heated spheroids in water based nanofluids. Int J Heat Mass Transf 96:582–601

    Article  CAS  Google Scholar 

  8. Brickman HC (1952) The viscosity of concentrated suspensions and solutions. J Chem Phys 20:571–581

    Article  Google Scholar 

  9. Pan B, Wang W, Chu D, Mei L, Zhang Q (2016) Experimental investigation of hypervapotron heat transfer enhancement with alumina–water nanofluids. Int J Heat Mass Transf 98:738–745

    Article  CAS  Google Scholar 

  10. Turkyilmazoglu M (2015) Exact multiple solutions for the slip flow and heat transfer in a converging channel. J Heat Transf 137:101301

    Article  Google Scholar 

  11. Turkyilmazoglu M (2014) Nanofluid flow and heat transfer due to a rotating disk. Comput Fluids 94:139–146

    Article  CAS  Google Scholar 

  12. Sheikholeslami M, Gorji-Bandpy M, Ganji DD, Soleimani S (2014) Heat flux boundary condition for nanofluid filled enclosure in presence of magnetic field. J Mol Liq 193:174–184

    Article  CAS  Google Scholar 

  13. Sheikholeslami M, Ganji DD (2015) Nanofluid flow and heat transfer between parallel plates considering Brownian motion using DTM. Comput Methods Appl Mech Eng 283:651–663

    Article  Google Scholar 

  14. Rudraswamy NG, Kumar KG, Gireesha BJ, Gorla RSR (2017) Combined effect of joule heating and viscous dissipation on MHD three dimensional flow of a jeffrey nanofluid. J of Nanofluids 6:300–310

    Article  Google Scholar 

  15. Kumar KG, Rudraswamy NG, Gireesha BJ, Krishnamurthy MR Influence of nonlinear thermal radiation and viscous dissipation on three-dimensional flow of Jeffrey nano fluid over a stretching sheet in the presence of Joule heating. Nonlinear Engineering 10.1515/nleng-2017-0014

  16. Mahanthesh B, Gireesha BJ, Manjunatha S, Gorla RSR (2017) Effect of viscous dissipation and joule heating on three-dimensional mixed convection flow of nano fluid over a non-linear stretching sheet in presence of solar radiation. J of Nanofluids 6:735–742

    Article  Google Scholar 

  17. Hayat T, Abbasi FM, Ahmed B (2015) Peristaltic transport of copper-water nanofluid saturating porous medium. Phys E 67:47–53

    Article  Google Scholar 

  18. Abbasi FM, Hayat T, Ahmad B, Chen GQ (2014) Slip effects on mixed convective peristaltic transport of copper-water nanofluid in an inclined channel. PLoS One 9(8):e105440

    Article  Google Scholar 

  19. Shehzad SA, Abbasi FM, Hayat T, Alsaadi F (2014) MHD mixed convective peristaltic motion of nanofluid with Joule heating and thermophoresis effects. PLoS One 9(11):e111417

    Article  Google Scholar 

  20. Abbasi FM, Hayat T, Ahmad B (2015) Impact of magnetic field on mixed convective peristaltic flow of water based nanofluids with Joule heating. Z Naturforsch 70a:125–132

    Google Scholar 

  21. Abbasi FM, Hayat T, Ahmad B (2015) Peristaltic transport of an aqueous solution of silver nanoparticles with convective heat transfer at the boundaries. Can J Phys 93:1–9

    Article  Google Scholar 

  22. Hayat T, Abbasi FM, Ahmed B, Alsaedi A (2014) MHD mixed convective peristaltic flow with variable viscosity and thermal conductivity. Sains Malaysiana 43:1583–1590

    Google Scholar 

  23. Nadeem S, Ijaz S (2015) Biomechanical analysis of copper nanoparticles on blood flow through curved artery with stenosis. J Comput Theor Nanosci 12:2322–2231

    Article  CAS  Google Scholar 

  24. Hayat T, Abbasi FM, Alsaedi A (2015) Numerical analysis for MHD peristaltic transport of Carreau–Yasuda fluid in a curved channel with Hall effects. JMMM 382:104–110

    Article  Google Scholar 

  25. Abbasi FM, Ahmad T, Hayat B, Chen GQ (2014) Peristaltic motion of a non-Newtonian nanofluid in an asymmetric channel. Z Naturforsch 69a:451–461

    Google Scholar 

  26. Abbasi FM, Hayat T, Ahmad B (2015) Peristalsis of silver-water nanofluid in the presence of Hall and Ohmic heating effects: applications in drug delivery. J Mol Liq 207:248–255

    Article  CAS  Google Scholar 

  27. Lew SH, Fung YC, Lowenstein CB (1971) Peristaltic carrying and mixing of chyme in the small intestine. J Biomech 4:297–315

    Article  CAS  Google Scholar 

  28. Ul Haq R, Khan ZH, Khan WA (2014) Thermophysical effects of carbon nanotubes on MHD flow over a stretching surface. Physica E: Low-dimensional Systems and Nanostructures 63:215–222

    Article  CAS  Google Scholar 

  29. Hayat T, Abbasi FM, Alsaedi A (2017) Low-speed peristaltic transport in a vertical channel subject to the Soret and Dufour effects. J Appl Mech Tech Phys 58(1):63–70

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    T. Hayat & Bilal Ahmed

  2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

  3. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, 44000, Pakistan

    F. M. Abbasi

Authors
  1. T. Hayat
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Bilal Ahmed
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. F. M. Abbasi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. Alsaedi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to F. M. Abbasi.

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., Ahmed, B., Abbasi, F. et al. Flow of carbon nanotubes submerged in water through a channel with wavy walls with convective boundary conditions. Colloid Polym Sci 295, 1905–1914 (2017). https://doi.org/10.1007/s00396-017-4170-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00396-017-4170-1

Keywords

Search

Navigation