Abstract
The aim of this work is to analyze the thermal radiation effects in a time-dependent axisymmetric flow of a Jeffery fluid. The flow in a fluid is induced by the unsteady squeezing of two parallel disks. The related partial differential equations for the modeled problem are simplified and transformed into coupled ordinary differential equations by using appropriate transformations. The differential system is solved for the convergent series solution. Effects of the various physical parameters have been analyzed for suction and injection cases.
Similar content being viewed by others
References
M.J. Stefan, Akad. Wiss. Wien. Math. Naturwiss. 69, 713 (1874).
W.E. Langlois, Q. Appl. Math. XX, 131 (1962).
R.L. Verma, Wear 72, 89 (1981).
E.A. Hamza, D.A. MacDonald, J. Fluid Mech. 109, 147 (1981).
N. Phan-Thien, W. Walsh, Z. Angew. Math. Phys. 35, 747 (1984).
S.N. Reznik, A.L. Yarin, Int. J. Multiphase flow 28, 911 (2002).
E.A. Hamza, J. Physics D: Appl. Phys. 32, 656 (1999).
M.M. Rashidi, H. Shahmohamadi, S. Dinarvand, Mat. Prob. Eng. 2008, 935095 (2008).
G. Domairry, A. Aziz, Math. Prob. Eng. 2009, 603916 (2009).
T. Hayat, A. Yousuf, M. Mustafa, S. Obaidat, Int. J. Numer. Meth. Fluids 69, 399 (2012).
A. Qayyum, M. Awais, A. Alsaedi, T. Hayat, Chin. Phys. Lett. 29, 034701 (2012).
R. Cortell, Chem. Eng. Res. Des. 89, 85 (2011).
D. Pal, S. Chatterjee, Commun. Nonlinear Sci. Numer. Simulat. 15, 1843 (2010).
K. Das, Int. J. Heat Mass Transfer 54, 3505 (2011).
T. Hayat, M. Nawaz, M. Sajid, S. Asghar, Comput. Math. Appl. 58, 369 (2009).
K. Bhattacharyya, S. Mukhopadhyay, G.C. Layek, I. Pop, Int. J. Heat Mass Transfer 55, 2945 (2012).
S.J. Liao, Beyond perturbation: Introduction to homotopy analysis method (Chapman and Hall, CRC Press, Boca Raton, 2003).
T. Hayat, M. Farooq, Z. Iqbal, A. Alsaedi, ASME J. Heat Transfer 134, 114504 (2012).
M.M. Rashidi, M.T. Rastegari, M. Asadi, O.A. Beg, Chem. Eng. Comm. 199, 231 (2012).
T. Hayat, S.A. Shehzad, A. Alsaedi, M.S. Alhothuali, Chin. Phys. Lett. 29, 114704 (2012).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hayat, T., Qayyum, A., Alsaadi, F. et al. Thermal radiation effects in squeezing flow of a Jeffery fluid. Eur. Phys. J. Plus 128, 85 (2013). https://doi.org/10.1140/epjp/i2013-13085-1
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2013-13085-1