Abstract.
Here the influence of the non-Fourier heat flux in a two-dimensional (2D) stagnation point flow of Eyring-Powell liquid towards a nonlinear stretched surface is reported. The stretching surface is of variable thickness. Thermal conductivity of fluid is taken temperature-dependent. Ordinary differential systems are obtained through the implementation of meaningful transformations. The reduced non-dimensional expressions are solved for the convergent series solutions. Convergence interval is obtained for the computed solutions. Graphical results are displayed and analyzed in detail for the velocity, temperature and skin friction coefficient. The obtained results reveal that the temperature gradient enhances when the thermal relaxation parameter is increased.
Similar content being viewed by others
References
M.A. Ezzat, A.A. El-Bary, Int. J. Therm. Sci. 100, 305 (2016)
J.B.J. Fourier, Théorie Analytique de la Chaleur (F. Didot, Paris, 1822)
C. Cattaneo, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 3, 83 (1948)
C.I. Christov, Mech. Res. Commun. 36, 481 (2009)
M. Ciarletta, B. Straughan, Mech. Res. Commun. 37, 445 (2010)
B. Straughan, Int. J. Heat Mass Transf. 53, 95 (2010)
B. Straughan, Phys. Lett. A 377, 2531 (2013)
B. Straughan, Phys. Lett. A 374, 2667 (2010)
S. Han et al., Appl. Math. Lett. 38, 87 (2014)
T. Hayat et al., PLOS ONE 11, e0155185 (2016)
M. Khan, W.A. Khan, J. Mol. Liq. 221, 651 (2016)
W.A. Khan, J. Mol. Liq. (2016) DOI:10.1016/j.molliq.2016.09.027
T. Hayat et al., AIP Adv. 5, 087159 (2015)
T. Hayat et al., J. Mol. Liq. 223, 566 (2016)
T. Hayat et al., J. Mol. Liq. 220, 49 (2016)
T. Hayat et al., Int. J. Heat Mass Transf. 99, 702 (2016)
M. Waqas et al., J. Mol. Liq. 220, 642 (2016)
M.M. Khader, A.M. Megahed, J. Appl. Mech. Tech. Phys. 54, 444 (2013)
N.T.M. Eldabe et al., J. Egypt Math. Soc. 20, 139 (2012)
T. Javed et al., Chem. Eng. Commun. 200, 327 (2013)
A. Riaz et al., Int. J. Biomath. 8, 1550081 (2015)
M.I. Khan, Alex. Eng. J. (2016) DOI:10.1016/j.aej.2016.04.037
R. Ellahi et al., Int. J. Numer. Methods Heat Fluid Flow 26, 1433 (2016)
T. Hayat, J. Aerosp. Eng. (2016) DOI:10.1061/(ASCE)AS.1943-5525.0000674
T. Fang et al., Appl. Math. Comput. 218, 7214 (2012)
M.M. Khader, A.M. Megahed, Eur. Phys. J. Plus 100, 128 (2013)
M.S.A. Wahed et al., Appl. Math. Comput. 254, 49 (2015)
T. Hayat, J. Mol. Liq. (2016) DOI:10.1016/j.molliq.2016.08.104
S.J. Liao, Homotopy analysis method in nonlinear differential equations (Springer & Higher Education Press, Heidelberg, 2012)
M. Sheikholeslami et al., J. Mol. Liq. 194, 30 (2014)
S. Abbasbandy et al., Int. J. Numer. Methods Heat Fluid Flow 24, 390 (2014)
T. Hayat et al., Sci. Iran. B 21, 682 (2014)
M. Nawaz et al., Int. J. Numer. Methods Heat Fluid Flow 25, 665 (2015)
J. Sui et al., Int. J. Heat Mass Transf. 85, 1023 (2015)
T. Hayat et al., J. Hydrol. Hydromech. 63, 311 (2015)
T. Hayat et al., J. Mol. Liq. 220, 200 (2016)
T. Hayat et al., J. Mol. Liq. 215, 704 (2016)
S.A. Shehzad et al., J. Appl. Fluid Mech. 9, 1437 (2016)
M. Waqas et al., Int. J. Heat Mass Transf. 102, 766 (2016)
M. Khan et al., Int. J. Heat Mass Transf. 101, 570 (2016)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hayat, T., Zubair, M., Ayub, M. et al. Stagnation point flow towards nonlinear stretching surface with Cattaneo-Christov heat flux. Eur. Phys. J. Plus 131, 355 (2016). https://doi.org/10.1140/epjp/i2016-16355-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2016-16355-4