Skip to main content
SpringerLink
Log in

A theoretical analysis of SWCNT–MWCNT and H2O nanofluids considering Darcy–Forchheimer relation

  • Original Article
  • Published:
Applied Nanoscience Aims and scope Submit manuscript

Abstract

The remarkable features of carbon nanotubes (CNTs) such as physicochemical compatibility, high conductivity, effective electrical conductivity, light weight and stability (chemical, mechanical) form them a superlative substance to be manipulated in electrochemical mechanisms. Having such effectiveness of CNTs in view our intention in this investigation is to elaborate the significance of non-Darcian relation in flow of CNTs based on water by rotating disk. Outcomes for both CNTs (single walled, multi walled) are presented and elaborated. Thermal radiation and Partial slip aspects are further a part of this research. The process of non-dimensionalization is performed utilizing Von Kármán approach. Optimal homotopic scheme is employed for analysis. Velocity, Nusselt numbers, temperature and skin friction have been computed and addressed.

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

Similar content being viewed by others

References

  • Bhatti MM, Zeeshan A, Ellahi R (2017) Simultaneous effects of coagulation and variable magnetic field on peristaltically induced motion of Jeffrey nanofluid containing gyrotactic microorganism. Microvasc Res 110:32–42

    Article  Google Scholar 

  • Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. In: The proceedings of the 1995 ASME international mechanical engineering congress and exposition, San Francisco, vol 66. ASME, FED 231/MD, pp 99–105

  • Darcy H (1856) Les Fontaines Publiques De La Ville De Dijon. Victor Dalmont, Paris

    Google Scholar 

  • Das SK, Choi SUS, Patel HE (2006) Heat transfer in nanofluids—a review. Heat Transf Eng 27:3–19

    Article  Google Scholar 

  • Ding Y, Alias H, Wen D, Williams RA (2006) Heat transfer of aqueous suspensions of carbon nanotubes (CNT nanofluids). Int J Heat Mass Transf 49:240–250

    Article  Google Scholar 

  • Eastman JA, Phillpot SR, Choi SUS, Keblinski P (2004) Thermal transport in nanofluids. Annu Rev Mater Res 34:219–246

    Article  Google Scholar 

  • Forchheimer P (1901) Wasserbewegung durch boden. Zeitschrift des Vereins deutscher Ingenieure 45:1782–1788

    Google Scholar 

  • Gireesha BJ, Mahanthesh B, Manjunatha PT, Gorla RSR (2015) Numerical solution for hydromagnetic boundary layer flow and heat transfer past a stretching surface embedded in non-Darcy porous medium with fluid-particle suspension. J Niger Math Soc 34:267–285

    Article  Google Scholar 

  • Harris PJF (2009) Carbon nanotube science: synthesis, properties and applications. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Hayat T, Ali S, Farooq MA, Alsaedi A (2015a) On comparison of series and numerical solutions for flow of Eyring–Powell fluid with Newtonian heating and internal heat generation/absorption. Plos One 10:e0129613

    Article  Google Scholar 

  • Hayat T, Rashid M, Imtiaz M, Alsaedi A (2015b) Magnetohydrodynamic (MHD) flow of Cu-water nanofluid due to a rotating disk with partial slip. AIP Adv 5:067169

    Article  Google Scholar 

  • Hayat T, Ali S, Alsaedi A, Alsulami HH (2016) Influence of thermal radiation and Joule heating in the Eyring–Powell fluid flow with the Soret and Dufour effects. J Appl Mech Tech Phys 57:1051–1060

    Article  Google Scholar 

  • Hayat T, Khan MI, Waqas M, Alsaedi A, Farooq M (2017a) Numerical simulation for melting heat transfer and radiation effects in stagnation point flow of carbon-water nanofluid. Comput Methods Appl Mech Eng 315:1011–1102

    Article  Google Scholar 

  • Hayat T, Waqas M, Alsaedi A, Bashir G, Alzahrani F (2017b) Magnetohydrodynamic (MHD) stretched flow of tangent hyperbolic nanoliquid with variable thickness. J Mol Liq 229:178–184

    Article  Google Scholar 

  • Hayat T, Haider F, Muhammad T, Alsaedi A (2017c) On Darcy–Forchheimer flow of carbon nanotubes due to a rotating disk. Int J Heat Mass Transf 112:248–254

    Article  Google Scholar 

  • Hayat T, Shah F, Alsaedi A, Waqas M (2018a) Numerical simulation for magneto nanofluid flow through a porous space with melting heat transfer. Microgravity Sci Tech 30:265–275

    Article  Google Scholar 

  • Hayat T, Aziz A, Muhammad T, Alsaedi A (2018b) An optimal analysis for Darcy–Forchheimer 3D flow of Carreau nanofluid with convectively heated surface. Results Phys 9:598–608

    Article  Google Scholar 

  • Iijima S (1991) Helical microtubules of graphitic carbon. Nature 354:56–58

    Article  Google Scholar 

  • Liao SJ (2010) An optimal homotopy-analysis approach for strongly nonlinear differential equations. Commun Nonlinear Sci Numer Simul 15:2003–2016

    Article  Google Scholar 

  • Mahbubul IM, Saidur R, Amalina MA, Niza ME (2016) Influence of ultrasonication duration on rheological properties of nanofluid: an experimental study with alumina–water nanofluid. Int Commun Heat Mass Transf 76:33–40

    Article  Google Scholar 

  • Mamourian M, Shirvan KM, Ellahi R, Rahimi AB (2016) Optimization of mixed convection heat transfer with entropy generation in a wavy surface square lid-driven cavity by means of Taguchi approach. Int J Heat Mass Transf 102:544–554

    Article  Google Scholar 

  • Mohanty S, Patra PK, Sahoo SS, Mohanty A (2017) Forecasting of solar energy with application for a growing economy like India: survey and implication. Renew Sustain Energy Rev 78:539–553

    Article  Google Scholar 

  • Muskat M, Meres MW (1936) The flow of heterogeneous fluids through porous media. J Appl Phys 7:346

    Google Scholar 

  • Sadiq MA, Waqas M, Hayat T (2017) Importance of Darcy–Forchheimer relation in chemically reactive radiating flow towards convectively heated surface. J Mol Liq 248:1071–1077

    Article  Google Scholar 

  • Shehzad N, Zeeshan A, Ellahi R, Vafai K (2016) Convective heat transfer of nanofluid in a wavy channel: Buongiorno’s mathematical model. J Mol Liq 222:446–455

    Article  Google Scholar 

  • Thostenson ET, Ren Z, Chou TW (2001) Advances in the science and technology of carbon nanotubes and their composites: a review. Compos Sci Technol 61:1899–1912

    Article  Google Scholar 

  • Veyskarami M, Hassani AH, Ghazanfari MH (2016) Modeling of non-Darcy flow through anisotropic porous media: role of pore space profiles. Chem Eng Sci 151:93–104

    Article  Google Scholar 

  • Waqas M, Farooq M, Khan MI, Alsaedi A, Hayat T, Yasmeen T (2016) Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition. Int J Heat Mass Transf 102:766–772

    Article  Google Scholar 

  • Waqas M, Hayat T, Shehzad SA, Alsaedi A (2018) Transport of magnetohydrodynamic nanomaterial in a stratified medium considering gyrotactic microorganisms. Phys B 529:33–40

    Article  Google Scholar 

  • Wilder JW, Venema LC, Rinzler AG, Smalley RE, Dekker C (1998) Electronic structure of atomically resolved carbon nanotubes. Nature 391:59–62

    Article  Google Scholar 

  • Xue Q (2005) Model for thermal conductivity of carbon nanotube-based composites. Phys B Condens Matter 368:302–307

    Article  Google Scholar 

  • Yu W, France DM, Choi SU, Routbort JL (2007) Review and assessment of nanofluid technology for transportation and other applications. Argonne National Laboratory (ANL)

Download references

Author information

Authors and Affiliations

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

    M. Waqas & T. Hayat

  2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

Authors
  1. M. Waqas
    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 M. Waqas.

Ethics declarations

Conflict of interest

There are no conflicts to declare.

Additional information

Publisher’s Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Waqas, M., Hayat, T. & Alsaedi, A. A theoretical analysis of SWCNT–MWCNT and H2O nanofluids considering Darcy–Forchheimer relation. Appl Nanosci 9, 1183–1191 (2019). https://doi.org/10.1007/s13204-018-0833-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13204-018-0833-6

Keywords

Search

Navigation