Skip to main content
SpringerLink
Log in

Dual solutions of heat and mass transfer of nanofluid over a stretching/shrinking sheet with thermal radiation

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

The present paper deals with the effects of nanofluids and thermal radiation over a stretching/shrinking sheet. The governing differential equations are transformed into a set of non-linear coupled ordinary differential equations which are then solved using numerical technique with appropriate boundary conditions for various values of physical parameters. The effects of various physical parameters on the dimensionless velocity, temperature, and concentration profiles are depicted graphically and analyzed in detail. Favorable comparisons with previously published work on various special cases of the problem are obtained. The effects of various physical parameters on the local Nusselt number and local Sherwood number are also presented in the tabular form.

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

Similar content being viewed by others

References

  1. Kuznetsov AV, Nield DA (2010) Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int J Therm Sci 49:243–247

    Article  Google Scholar 

  2. Khan WA, Pop I (2010) Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf 53:2477–2483

    Article  MATH  Google Scholar 

  3. Rana P, Bhargava R (2012) Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study. Commun Nonlinear Sci Numer Simul 17:212–226

    Article  ADS  MathSciNet  Google Scholar 

  4. Rahman MM, Eltayeb IA (2013) Radiative heat transfer in a hydromagnetic nanofluid past a non-linear stretching surface with convective boundary condition. Meccanica 48(3):601–615

    Article  MATH  MathSciNet  Google Scholar 

  5. Mahaptra TR, Nandi SK, Gupta AS (2012) Oblique stagnation-point flow and heat transfer towards a shrinking sheet with thermal radiation. Meccanica 47:1325–1335

    Article  MathSciNet  Google Scholar 

  6. Bachok N, Aleng NL, Arifin NM, Ishak A, Senu N (2014) Flow and heat transfer of a nanofluid over a shrinking sheet. Int J Mech Aerosp Ind Mechatron Eng 8(9):1578–1582

    Google Scholar 

  7. Das MK (2014) Nanofluid flow over a shrinking sheet with surface slip. Microfluid Nanofluid 16:391–401

    Article  Google Scholar 

  8. Rohni AM, Ahmad S, Ismail AIMD, Pop I (2012) Flow over an unsteady shrinking sheet with suction in a nanofluid. Int J Mod Phys 9:512–519

    Google Scholar 

  9. Akbar NS, Khan ZH, Haq RU, Nadeem S (2014) Dual solutions in MHD stagnation-point flow of Prandtl fluid impinging on shrinking sheet. Appl Math Mech 35(7):813–820

    Article  MathSciNet  Google Scholar 

  10. Rajotia D, Jat RN (2014) Dual solutions of three dimensional MHD boundary layer flow and heat transfer due to an axisymmetric shrinking sheet with viscous dissipation and heat generation/absorptionand. Indian J Pure Appl Phys 52:812–820

    Google Scholar 

  11. Ali FM, Nazar R, Arifin NM, Pop I (2013) Dual solutions in MHD flow on a nonlinear porous shrinking sheet in a viscous fluid. Bound Value Probl 32:1–7

    MathSciNet  Google Scholar 

  12. Pal D, Mondal H (2011) The influence of thermal radiation on hydromagnetic Darcy-Forchheimer mixed convection flow past a stretching sheet embedded in a porous medium. Meccanica 46:739–753

    Article  MATH  Google Scholar 

  13. Olanrewaju PO, Olanrewaju MA, Adesanya AO (2012) Boundary layer flow of nanofluids over a moving surface in a flowing fluid in the presence of radiation. Int J Appl Sci Technol 2(1):274–285

    Google Scholar 

  14. Ahmad S, Pop I (2010) Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids. Int Commun Heat Mass Transf 37:987–991

    Article  Google Scholar 

  15. Bachok N, Ishak A, Pop I (2010) Boundary layer flow of nanofluids over a moving surface in a flowing fluid. Int J Therm Sci 49:1663–1668

    Article  Google Scholar 

  16. Prasad KV, Vajravelu K, Datti PS (2010) Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties. Int J Non-linear Mech 45:320–330

    Article  Google Scholar 

  17. Pal D, Mondal H (2011) MHD non-Darcian mixed convection heat and mass transfer over a non-linear stretching sheet with Soret–Dufour effects and chemical reaction. Int Commun Heat Mass Transf 38:463–467

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Agartala, 799055, Tripura, India

    Poulomi De & Uttam Kumar Bera

  2. Department of Mathematics, Bengal Institute of Technology and Management, Santiniketan, 731236, West Bengal, India

    Hiranmoy Mondal

Authors
  1. Poulomi De
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hiranmoy Mondal
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Uttam Kumar Bera
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hiranmoy Mondal.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

De, P., Mondal, H. & Bera, U.K. Dual solutions of heat and mass transfer of nanofluid over a stretching/shrinking sheet with thermal radiation. Meccanica 51, 117–124 (2016). https://doi.org/10.1007/s11012-015-0205-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-015-0205-1

Keywords

Search

Navigation