Skip to main content
SpringerLink
Log in

Thermodynamics second law analysis for MHD boundary layer flow and heat transfer caused by a moving wedge

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

An analytical analysis has been carried out to investigate the second law of thermodynamics in magnetohydrodynamic (MHD) boundary layer flow and heat transfer by moving wedge. The governing PDEs of momentum, energy, and entropy generation are converted into nonlinear ODEs via similarity variables and then solved analytically using the optimal homotopy asymptotic method. The expression of entropy generation number is obtained in dimensionless form. Results revealed that the minimum entropy production is achieved when the wedge moves in the opposite direction to the free stream (for the negative values of velocity ratio parameter λ). Moreover, the magnetic field influences the increase in entropy production.

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. V. M. Falkner and S. W. Skan, Some approximate solutions of the boundary layer equations, Phil. Mag., 12 (1931) 865–896.

    Article  MATH  Google Scholar 

  2. L. Howarth, On the solution of the laminar boundary layer equations, Proc. R. Soc. Lond. A, 164 (1938) 547–579.

    Article  MATH  Google Scholar 

  3. F. M. White, Viscous Fluid Flow, 2nd Ed., New York: McGraw-Hill (1991).242-249.

    Google Scholar 

  4. H. Bararnia, E. Ghasemi, S. Soleimani, A. R. Ghotbi and D. D. Ganji, Solution of the Falkner–Skan wedge flow by HPM–Pade’ method, Advances in Engineering Software, 43 (1) (2012) 44–52.

    Article  MATH  Google Scholar 

  5. S. Abbasbandy and T. Hayat, Solution of the MHD Falkner-Skan flow by homotopy analysis method, Commun Nonlinear Sci Numer Simulat, 14 (2009) 3591–3598.

    Article  MathSciNet  MATH  Google Scholar 

  6. S. R. Sayyed, B. B. Singh and N. Bano, Analytical solution of MHD slip flow past a constant wedge within a porous medium using DTM-Padé, Appl. Math. and Comput, 321 (2018) 472–482.

    MathSciNet  Google Scholar 

  7. R. B. Kudenatti, S. R. Kirsur, L. N. Achaala and N. M. Bujurke, Exacte solution of two-dimensional MHD boundary layer flow over a semi infinite flat plate, Commun Nonlinear Sci. Numer Simulat, 18 (2013) 1151–1161.

    Article  MATH  Google Scholar 

  8. A. Ishak, R. Nazar and I. Pop, MHD boundary-layer flow past a moving wedge, Magnetohydrodynamics, 45 (1) (2009) 103–110.

    Article  MATH  Google Scholar 

  9. N. A. Yacob, A. Ishak and I. Pop, Falkner-Skan problem for a static and moving wedge in a nanofluids, Int. J. Thermal Sci., 50 (2011) 133–139.

    Article  Google Scholar 

  10. V. Marinca and N. Herişanu, Application of optimal homo-topy asymptotic method for solving nonlinear equations arising in heat transfer, Int. Commun. Heat Mass Transfer, 35 (6) (2008) 710–715.

    Article  Google Scholar 

  11. A. Bejan, Second-law analysis in heat transfer and thermal design, Adv. Heat Transf., 15 (1982) 1–58.

    Article  Google Scholar 

  12. O. D. Makinde, Entropy analysis for MHD boundary layer flow and heat transfer over a flat plate with a convective surface boundary condition, Int. J. Exergy, 10 (2) (2012) 142–154.

    Article  MathSciNet  Google Scholar 

  13. A. S. Butt and A. Ali, Entropy generation in MHD flow over a permeable stretching sheet embedded in a porous medium in the presence of viscous dissipation, Int. J. Exergy, 13 (1) (2013) 85–101.

    Article  Google Scholar 

  14. M. Dehsara, N. Dalir and M. R. H. Nobari, Numerical analysis of entropy generation in nanofluid flow over a transparent plate in porous medium in presence of solar radiation, viscous dissipation and variable magnetic field, J. Mech. Sci. Tech., 28 (5) (2014) 1819–1831.

    Article  Google Scholar 

  15. M. H. Yazdi, S. Abdullah, I. Hashim and K. Sopian, Entropy generation analysis of open parallel microchannels embedded within a permeable continuous moving surface: Application to magnetohydrodynamics (MHD), Entropy, 14 (1) (2011) 1–23.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Brothers Mentouri Constantine, 1, Ain El bey Road, Constantine, 25000, Algeria

    Hamza Berrehal

Authors
  1. Hamza Berrehal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hamza Berrehal.

Additional information

Recommended by Associate Editor Youngsuk Nam

Hamza Berrehal received his master’s degree in energy physics and renewable energies from Brothers Mentouri Con-stantine 1 University, Constantine, Algeria. He is currently a Ph.D. candidate in the same university. His fields of research interests include fluid mechanics, heat transfer, thermodynamics and applied mathematics.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Berrehal, H. Thermodynamics second law analysis for MHD boundary layer flow and heat transfer caused by a moving wedge. J Mech Sci Technol 33, 2949–2955 (2019). https://doi.org/10.1007/s12206-019-0542-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-019-0542-4

Keywords

Search

Navigation