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.
Similar content being viewed by others
References
Stefan MJ (1874) Versuch über die scheinbare adhesion. Sitzungsber Sächs Akad Wiss Wein, Math-Nat Wiss Kl 69:713–721
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
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
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
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
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
Khaled ARA, Vafai K (2009) Hydromagnetic squeezed flow and heat transfer over a sensor surface. Int J Eng Sci 42:509–519
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
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
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
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
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
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
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
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
Xu H, Liao SJ (2006) Series solutions of unsteady MHD flows above a rotating disk. Meccanica 41:599–609
Xu H, Liao SJ (2008) Dual solutions of boundary layer flow over an upstream moving plate. Commun Nonlinear Sci Numer Simul 13:350–358
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
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
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
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
Nadeem S, Hussain M, Naz M (2010) MHD stagnation flow of a micropolar fluid through a porous medium. Meccanica 45:869–880
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
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
Corresponding author
Rights 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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11012-012-9536-3