Abstract.
This article deals with the study of micropolar nanofluids flow over a stretching sheet. This study uses the compatible models to deal with the effects of two different kinds of nanoparticles (copper (Cu) and silver (Ag)) within the base fluids (water and Kerosene oil). Developed governing boundary layer equations and the boundary conditions are transformed into the system of coupled nonlinear ordinary differential equations. Numerical results are constructed for velocity, temperature, skin friction coefficient and local Nusselt number by considering the thermo-physical properties of both base fluids and particles. Fluid flow behavior is analyzed through stream lines and a conclusion has been developed under the observation of fluid flow behavior.
Similar content being viewed by others
References
P. Krajnik, F. Pusavec, A. Rashid, Nanofluids properties applications and sustainability aspects in materials processing technologies, in Advances in Sustainable Manufacturing (Springer, 2011) pp. 107--113
T.V. Duncan, J. Colloid Interface Sci. 363, 1 (2011)
X. Qu, P.J.J. Alvarez, Q. Li, Water Res. 47, 3931 (2013)
S. Choi, Enhancing thermal conductivity of fluids with nanoparticles in developments and applications of non-Newtonian flows, edited by D.A. Siginer, H.P. Wang, Vol. 66 (ASME, 1995) pp. 99--105
H. Masuda, A. Ebata, K. Teramae, N. Hishinuma, Netsu Bussei 7, 227 (1993)
B.C. Pak, I. Cho, Exp. Heat Transfer 11, 151 (1998)
J. Buongiorno, J. Heat Transfer 128, 240 (2006)
R. Davis, Int. J. Thermophys. 7, 609 (1986)
S.M. Aminossadati, B. Ghasemi, Eur. J. Mech. B/Fluids 28, 630 (2009)
L. Godson, B. Raja, D. Mohan Lal, S. Wongwises, Exp. Heat Transfer 23, 317 (2010)
S. Nadeem, R. Mehmood, N.S. Akbar, Int. J. Therm. Sci. 78, 90 (2014)
R. Ellahi, M. Raza, K. Vafai, Math. Comp. Modell. 55, 1876 (2012)
S. Nadeem, R.U. Haq, Z.H. Khan, J. Taiwan Inst. Chem. Eng. 45, 121 (2013)
R. Ellahi, Appl. Math. Modell. 37, 1451 (2013)
M.A.A. Hamad, Int. Commun. Heat Mass Transfer 38, 487 (2011)
M.A.A. Hammad, M. Ferdows, Appl. Math. Mech. 33, 923 (2012)
W.A. Khan, Z.H. Khan, M. Rahi, Appl. Nanosci. 4, 633 (2014)
S. Nadeem, R.U. Haq, Z.H. Khan, Alexandria Eng. J. 53, 219 (2014)
A.S. Ahuja, J. Appl. Phys. 46, 3408 (1975)
A.C. Eringen, Int. J. Eng. Sci. 2, 205 (1964)
A.C. Eringen, J. Math. Mech. 16, 1 (1966)
G. Lukaszewicz, Micropolar fluids: Theory and applications (Brikhauser Basel, 1999)
M. Zadravec, M. Hribersek, L. Skerget, Eng. Anal. Bound. Elem. 33, 485 (2009)
G.C. Bourantas, V.C. Loukopoulos, Int. J. Heat Mass Transfer 68, 35 (2014)
B.C. Sakiadis, Am. Inst. Chem. Eng. J. 7, 26 (1961)
F.K. Tsou, E.M. Sparrow, R.J. Goldstein, Int. J. Heat Mass Transfer 10, 219 (1967)
L.E. Erickson, L.T. Fan, V.G. Fox, Ind. Eng. Chem. Fundam. 5, 19 (1966)
R. Nazar, N. Amin, I. Pop, Int. J. Numer. Methods Heat Fluid Flow 13, 86 (2003)
O.D. Makinde, P.O. Olanrewaju, J. Fluids Eng. 132, 044502 (2010)
N.S. Akbar, S. Nadeem, R.U. Haq, Z.H. Khan, Chin. J. Aeronaut. 26, 1389 (2013)
S. Nadeem, S.T. Hussain, C. Lee, Braz. J. Chem. Eng. 30, 619 (2013)
S. Nadeem, R.U. Haq, N.S. Akbar, IEEE Trans. Nanotechnol. 13, 109 (2014)
O.D. Makinde, W.A. Khan, Z.H. Khan, Int. J. Heat Mass Transfer 62, 526 (2013)
M. Qasim, I. Khan, S. Shafie, Math. Probl. Eng. 2013, 251937 (2013)
Z.H. Khan, A. Khan, M. Qasim, I.A. Shah, IEEE Trans. Nanotechnol. 13, 35 (2014)
N.S. Akbar, S. Nadeem, C. Lee, Z.H. Khan, R.U. Haq, Results Phys. 3, 161 (2013)
S. Nadeem, R.U. Haq, J. Comput. Theor. Nanosci. 11, 32 (2014)
M. Qasim, S. Noreen, Eur. Phys. J. Plus 129, 7 (2014)
J.C. Maxwell, Electricity and magnetism, 3rd edition (Clarendon, Oxford Press, 1904)
R.L. Hamilton, O.K. Crosser, Ind. Eng. Chem. Fund. 1, 187 (1962)
S.K. Choi, S.O. Kim, T.H. Lee, D. Hahn, Numer. Heat Transfer A 65, 287 (2014)
K. Khanafer, K. Vafai, M. Lightstone, Int. J. Heat Mass Transfer 46, 3639 (2003)
R.Y. Jou, S.C. Tzeng, Int. Commun. Heat Mass Transfer 33, 727 (2006)
B. Ghasemi, S.M. Aminossadati, Numer. Heat Transfer A 55, 807 (2009)
S. Nadeem, S.T. Hussain, Appl. Nanosci. (2013) DOI:10.1007/s13204-013-0282-1
E.B. Ogut, Int. J. Therm. Sci. 48, 2063 (2009)
C.Y. Wang, J. Appl. Math. Mech. (ZAMM) 69, 418 (1989)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hussain, S.T., Nadeem, S. & Ul Haq, R. Model-based analysis of micropolar nanofluid flow over a stretching surface. Eur. Phys. J. Plus 129, 161 (2014). https://doi.org/10.1140/epjp/i2014-14161-8
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2014-14161-8