Skip to main content
Log in

On heat and mass transfer in the unsteady squeezing flow between parallel plates

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

This paper reports the heat and mass transfer characteristics in a viscous fluid which is squeezed between parallel plates. The governing partial differential equations for unsteady two-dimensional flow with heat and mass transfer of a viscous fluid are reduced to ordinary differential equations by similarity transformations. Homotopy analysis method (HAM) is employed to construct the series solution of the problem. Physical interpretation to various embedding parameters is assigned through graphs for temperature and concentration profiles and tables for skin friction coefficient, local Nusselt number and local Sherwood number.

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
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Stefan MJ (1874) Versuch über die scheinbare adhesion. Sitzungsber Sächs Akad Wiss Wein, Math-Nat Wiss Kl 69:713–721

    Google Scholar 

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

    Article  Google Scholar 

  3. Siddiqui AM, Irum S, Ansari AR (2008) Unsteady squeezing flow of a viscous MHD fluid between parallel plates, a solution using the homotopy perturbation method. Math Model Anal 13:565–576

    Article  MathSciNet  MATH  Google Scholar 

  4. Rashidi MM, Shahmohamadi H, Dinarvand S (2008) Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates. Math Probl Eng 2008:935095

    Article  MathSciNet  Google Scholar 

  5. Duwairi HM, Tashtoush B, Damseh RA (2004) Onheat transfer effects in a viscous fluid squeezed and extruded between two parallel plates. Heat Mass Transf 41:112–117

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. Khaled ARA, Vafai K (2009) Hydromagnetic squeezed flow and heat transfer over a sensor surface. Int J Eng Sci 42:509–519

    Article  Google Scholar 

  8. Tsai R, Huang JS (2009) Heat and mass transfer for Soret and Dufour’s effects through porous medium onto a stretching surface. Int J Heat Mass Transf 52:2399–2406

    Article  MATH  Google Scholar 

  9. Muhaimin I, Kandasamy R, Hashim I (2010) Effect of chemical reaction, heat and mass transfer on nonlinear boundary layer past a porous shrinking sheet in the presence of suction. Nucl Eng Des 240:933–939

    Article  Google Scholar 

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

    Article  Google Scholar 

  11. Hayat T, Qasim M, Abbas Z (2010) Radiation and mass transfer effects on magnetohydrodynamic unsteady flow induced by a shrinking sheet. Z Naturforsch 65a:231–239

    Google Scholar 

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

    Article  Google Scholar 

  13. Jalaal M, Ganji DD On unsteady rolling motion of spheres in inclined tubes filled with incompressible Newtonian fluids. Advanced Powder Technology. doi:10.1016/j.apt.2010.03.011

  14. Jalaal M, Ganji DD (2010) An analytical study on motion of a sphere rolling down an inclined plane submerged in a Newtonian fluid. Powder Technol 198:82–92

    Article  Google Scholar 

  15. Jalaal M, Ganji DD, Ahmadi G An analytical study on settling of non-spherical particles, Asia-pacific. Journal of Chemical Engineering. doi:10.1002/apj.492

  16. Xu H, Liao SJ (2006) Series solutions of unsteady MHD flows above a rotating disk. Meccanica 41:599–609

    Article  MathSciNet  MATH  Google Scholar 

  17. Xu H, Liao SJ (2008) Dual solutions of boundary layer flow over an upstream moving plate. Commun Nonlinear Sci Numer Simul 13:350–358

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. Abbasbandy S (2008) Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by means of the homotopy analysis method. Chem Eng J 136:144–150

    Article  Google Scholar 

  19. Aziz RC, Hashim I, Alomari AK (2011) Thin film flow and heat transfer on an unsteady stretching sheet with internal heating. Meccanica 46:349–357

    Article  MathSciNet  Google Scholar 

  20. Hayat T, Mustafa M, Mesloub S (2010) Mixed convection boundary layer flow over a stretching surface filled with a Maxwell fluid in presence of Soret and Dufour effects. Z Naturforsch 65a:401–410

    Google Scholar 

  21. Hayat T, Mustafa M, Mesloub S (2010) Influence of thermal radiation on the unsteady mixed convection flow of a Jeffrey fluid over a stretching sheet. Z Naturforsch 65a:711–719

    Google Scholar 

  22. Nadeem S, Hussain M, Naz M (2010) MHD stagnation flow of a micropolar fluid through a porous medium. Meccanica 45:869–880

    Article  MathSciNet  Google Scholar 

  23. Joneidi AA, Domairry G, Babaelahi M (2010) Homotopy Analysis Method to Walter’s B fluid in a vertical channel with porous wall. Meccanica 45:857–868

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgement

We are grateful to the referee for his constructive comments and suggestions. Second author as a visiting professor gratefully acknowledges the support of Global Research Network for Computational Mathematics and King Saud University of Saudi Arabia for this work.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Mustafa.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mustafa, M., Hayat, T. & Obaidat, S. On heat and mass transfer in the unsteady squeezing flow between parallel plates. Meccanica 47, 1581–1589 (2012). https://doi.org/10.1007/s11012-012-9536-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-012-9536-3

Keywords

Navigation