Skip to main content
Log in

Application of Homotopy Perturbation Method for Heat and Mass Transfer in the Two-Dimensional Unsteady Flow Between Parallel Plates

  • Original Paper
  • Published:
International Journal of Applied and Computational Mathematics Aims and scope Submit manuscript

Abstract

In this paper, heat and mass transfer characteristics in a viscous fluid which is squeezed between parallel plates is studied analytically using homotopy perturbation method (HPM). These comparisons between HPM and numerical method reveal that HPM has good agreement. Effect of active parameters on flow, heat and mass transfer is presented. Results show that Nusselt number increase with increase of Prandtl number and Eckert number but it decreases with increase of squeeze number. Also it can be found that Sherwood number increases as Schmidt number and chemical reaction parameter increase.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Stefan, M.J.: Versuch Über die scheinbare adhesion. Akad Wissensch Wien Math. Nat. 69, 713–721 (1874)

    Google Scholar 

  2. Reynolds, O.: On the theory of lubrication. Trans. R. Soc. 177, 157 (1886)

    Article  Google Scholar 

  3. Khan, Y., Wu, Q., Faraz, N., Yildirim, A., Mohyud-Din, S.T.: Three-dimensional flow arising in the long porous slider: an analytic solution. J. Phys. Sci. 66a(8–9), 507–512 (2011)

    Google Scholar 

  4. Hamdan, M.H., Baron, R.M.: Squeeze flow of dusty fluids. Appl. Sci. Res. 49, 345–354 (1992)

    Article  Google Scholar 

  5. Tichy, J., Winner, W.O.: Inertial considerations in parallel circular squeeze film bearings. Trans. ASME. J. Lub. Technol. 92, 588–592 (1970)

    Article  Google Scholar 

  6. Ishizawa, S.: The unsteady flow between two parallel discs with arbitary varying gap width. Bull. JSME 9(35), 533–550 (1966)

    Article  Google Scholar 

  7. Mahmood, M., Asghar, S., Hossain, M.A.: Squeezed flow and heat transfer over a porous surface for viscous fluid. Heat Mass Transf. 44, 165–173 (2007)

    Article  Google Scholar 

  8. Abd-El Aziz, M.: Unsteady fluid and heat flow induced by a stretching sheet with mass transfer and chemical reaction. Chem. Eng. Commun. 197, 1261–1272 (2010)

    Article  Google Scholar 

  9. Domairry, G., Aziz, A.: Approximate analysis of MHD squeeze flow between two parallel disks with suction or injection by homotopy perturbation method. Math. Probl. Eng. 2009, 603916 (2009)

    Article  MATH  Google Scholar 

  10. He, J.H.: Comparison of homotopy perturbation method and homotopy analysis method. Appl. Math. Comput. 156, 527–539 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  11. Jalaal, M., Ganji, D.D., Ahmadi, G.: Analytical investigation on acceleration motion of a vertically falling spherical particle in incompressible Newtonian media. Adv. Powder Technol. 21, 298–304 (2010)

    Article  Google Scholar 

  12. Sheikholeslami, M., Ashorynejad, H.R., Ganji, D.D., Kolahdooz, A.: Investigation of Rotating MHD Viscous Flow and Heat Transfer Between Stretching and Porous Surfaces Using Analytical Method, vol. 2011, Article ID 258734. doi:10.1155/2011/258734

  13. Ghotbi, A.R., Barari, A., Ganji, D.D.: Solving ratio-dependent predator–prey system with constant effort harvesting using Homotopy perturbation method. Math. Prob. Eng. (2008). doi:10.1155/2008/945420

  14. Moghimi, S.M., Ganji, D.D., Bararnia, H., Hosseini, M., Jalaal, M.: Homotopy perturbation method for nonlinear MHD Jeffery Hamel problem. Comput. Math. Appl. 61, 2213–2216 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  15. Sheikholeslami, M., Ganji, D.D., Rashidi, M.M.: Magnetic field effect on unsteady nanofluid flow and heat transfer using Buongiorno model. J. Magn. Magn. Mater. 416, 164–173 (2016)

    Article  Google Scholar 

  16. Sheikholeslami, M., Ganji, D.D., Ashorynejad, H.R., Rokni, Houman B.: Analytical investigation of Jeffery-Hamel flow with high magnetic field and nano particle by Adomian decomposition method. Appl. Math. Mech.-Engl. Ed. 33(1), 1553–1564 (2012)

    Article  MATH  Google Scholar 

  17. Domairry, D., Sheikholeslami, M., Ashorynejad, H.R., Gorla, Rama. S. R., Khani, M.: Natural convection flow of a non-Newtonian nanofluid between two vertical flat plates. In: Proceedings of IMechE Part N: Nanoengineering and Nanosystems. doi:10.1177/1740349911433468

  18. Sheikholeslami, M., Mustafa, M.T., Ganji, D.D.: Effect of Lorentz forces on forced-convection nanofluid flow over a stretched surface. Particuology 26, 108–113 (2016)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  20. Sheikholeslami, M., Abelman, S., Ganji, D.D.: Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation. Int. J. Heat Mass Transf. 79, 212–222 (2014)

    Article  Google Scholar 

  21. Sheikholeslami, M., Ganji, D.D.: Magnetohydrodynamic flow in a permeable channel filled with nanofluid. Sci. Iran. B 21(1), 203–212 (2014)

    Google Scholar 

  22. Sheikholeslami, M., Soleimani, Soheil, Ganji, D.D.: Effect of electric field on hydrothermal behavior of nanofluid in a complex geometry. J. Mol. Liq. 213, 153–161 (2016)

    Article  Google Scholar 

  23. Sheikholeslami, M., Ganji, D.D.: Heat transfer of Cu-water nanofluid flow between parallel plates. Powder Technol. 235, 873–879 (2013)

    Article  Google Scholar 

  24. Sheikholeslami, M., Ashorynejad, H.R., Ganji, D.D., Yıldırım, A.: Homotopy perturbation method for three-dimensional problem of condensation film on inclined rotating disk. Sci. Iran. B 19(3), 437–442 (2012)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Jafari.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jafari, H., Hosseinzadeh, H., Gholami, M.R. et al. Application of Homotopy Perturbation Method for Heat and Mass Transfer in the Two-Dimensional Unsteady Flow Between Parallel Plates. Int. J. Appl. Comput. Math 3, 1677–1688 (2017). https://doi.org/10.1007/s40819-016-0253-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40819-016-0253-9

Keywords

Navigation