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Czasopismo
2013 | 11 | 5 | 601-614
Tytuł artykułu

The analysis of the flow of a micropolar fluid between two orthogonally moving porous disks with counter rotating directions

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present work investigates the unsteady, imcompressible flow of a micropolar fluid between two orthogonally moving porous coaxial disks. The lower and upper disks are rotating with the same angular speed in counter directions. The flows are driven by the contraction and the rotation of the disks. An extension of the Von Kármán type similarity transformation is proposed and is applied to reduce the governing partial differential equations (PDEs) to a set of non-linear coupled ordinary differential equations (ODEs) in dimensionless form. These differential equations with appropriate boundary conditions are responsible for the flow behavior between large but finite coaxial rotating disks. The analytical solutions are obtained by employing the homotopy analysis method. The effects of some various physical parameters like the expansion ratio, the rotational Reynolds number, the permeability Reynolds number, and micropolar parameters on the velocity fields are observed in graphs and discussed in detail.
Wydawca

Czasopismo
Rocznik
Tom
11
Numer
5
Strony
601-614
Opis fizyczny
Daty
wydano
2013-05-01
online
2013-07-28
Twórcy
autor
  • Department of Mathematics, University of Science and Technology, Beijing, China, 100083
autor
  • Department of Mathematics, University of Science and Technology, Beijing, China, 100083, sixinhui_ustb@126.com
  • Department of Mathematics, University of Science and Technology, Beijing, China, 100083
autor
  • Department of Mathematics, University of Science and Technology, Beijing, China, 100083
autor
  • Department of mechanical engineering, University of Science and Technology, Beijing, China, 100083
Bibliografia
  • [1] T. Von Kármán, Z. Angew, Math. Mech. 1, 233 (1921)
  • [2] W.G. Cochran, Proc. Camb. Phil. Soc. 30, 365 (1934) http://dx.doi.org/10.1017/S0305004100012561[Crossref]
  • [3] U.T. Böewadt, Z. Angew, Math. Mech. 20, 241 (1940)
  • [4] J.F. Brady, L. Durlofsky, J. Fluid. Mech. 175, 363 (1987) http://dx.doi.org/10.1017/S0022112087000430[Crossref]
  • [5] K. Stewartson, Proc. Cambr. Phil. Soc. 47, 545 (1951) http://dx.doi.org/10.1017/S0305004100026943[Crossref]
  • [6] H.P. Greenspan, Geophys, Astrophys, Fluid Dyn. 15, 1 (1980) http://dx.doi.org/10.1080/03091928008241167[Crossref]
  • [7] I.V. Shevchuk, Int. J. Heat Mass Transfer 45, 1313 (2009). http://dx.doi.org/10.1007/s00231-009-0505-x[Crossref]
  • [8] M.M. Awad, ASME J. Heat Transfer, 130, 014505 (2008). http://dx.doi.org/10.1115/1.2780185[Crossref]
  • [9] M.A. Hossain, A. Hossain, M. Wilson, Int. J. Therm. Sci. 40, 11 (2001) http://dx.doi.org/10.1016/S1290-0729(00)01183-2[Crossref]
  • [10] K.A. Maleque, M.A. Sattar, ASME J. Heat Transfer 127, 1406 (2005) http://dx.doi.org/10.1115/1.2098860[Crossref]
  • [11] A.C. Eringen, Int. J. Math.Anal.Appl. 38, 480 (1972) http://dx.doi.org/10.1016/0022-247X(72)90106-0[Crossref]
  • [12] G.S. Guram, M. Anwar, J. Eng. Math. 13, 223 (1979) http://dx.doi.org/10.1007/BF00036671[Crossref]
  • [13] G.S. Guram, M. Anwar, ZAMM 61, 589 (1981) http://dx.doi.org/10.1002/zamm.19810611107[Crossref]
  • [14] M. Anwar Kamal, M. Ashraf, K.S. Syed, Appl.Math.Comput. 179, 1 (2006) http://dx.doi.org/10.1016/j.amc.2005.11.073[Crossref]
  • [15] M. Ashraf, M. Anwar Kamal, K.S. Syed, Appl.Math.Model. 33, 1933 (2009) http://dx.doi.org/10.1016/j.apm.2008.05.002[Crossref]
  • [16] P. Chaturani, S. Narasimman, Acta Mech., 89, 133 (1991) http://dx.doi.org/10.1007/BF01171251[Crossref]
  • [17] S. Uchida, H. Aoki, J.Fluid.Mech. 82, 371 (1977) http://dx.doi.org/10.1017/S0022112077000718[Crossref]
  • [18] C.E. Dauenhauer, J. Majdalani, Phys. Fluids. 15, 1485 (2003) http://dx.doi.org/10.1063/1.1567719[Crossref]
  • [19] S. Asghar, M. Mushtaq, T. Hayat, Nonlinear Anal.-Real 11, 555 (2010) http://dx.doi.org/10.1016/j.nonrwa.2009.01.049[Crossref]
  • [20] S. Dinarvand, M.M. Rashidi, Nonlinear Anal.-Real 11, 1502 (2010) http://dx.doi.org/10.1016/j.nonrwa.2009.03.006[Crossref]
  • [21] H. Xu, Z.L. Lin, S.J. Liao, J.Z. Wu, J. Majdalani, Phys. Fluids 22, 053601 (2010) http://dx.doi.org/10.1063/1.3392770[Crossref]
  • [22] A. Nazir, T. Mahmood, Appl.Math.Model. 35, 3154 (2011) http://dx.doi.org/10.1016/j.apm.2010.12.015[Crossref]
  • [23] X.H. Si, L.C. Zheng, X.X. Zhang, X.Y. Si, Appl.Math.Model. 36, 1806 (2012) http://dx.doi.org/10.1016/j.apm.2011.09.010[Crossref]
  • [24] S.J. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis Method, (Chapman Hall/CRC Press, Boca Raton, 2003) http://dx.doi.org/10.1201/9780203491164[Crossref]
  • [25] S.J. Liao, Appl. Math. Comput. 147, 499 (2004) http://dx.doi.org/10.1016/S0096-3003(02)00790-7[Crossref]
  • [26] S. Abbasbandy, E. Shivanian, K. Vajravelu, Commun. Nonlinear Sci. Numer. Simulat. 16, 4268 (2011) http://dx.doi.org/10.1016/j.cnsns.2011.03.031[Crossref]
  • [27] N.F.M. Noor, I. Hashim, Int. J. Heat Mass Tran. 53, 2044 (2010) http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.12.052[Crossref]
  • [28] T. Hayat, S. Iram, T. Javed, S. Asghar, Commun. Nonlinear Sci. Numer. Simulat. 15, 2932 (2010) http://dx.doi.org/10.1016/j.cnsns.2009.11.030[Crossref]
  • [29] Z. Abbas, M. Sajid, T. Hayat, Theor. Comput. Fluid. Dyn. 20, 229 (2006) http://dx.doi.org/10.1007/s00162-006-0025-y[Crossref]
  • [30] M. Sajid, T. Hayat, S. Asghar, Phys. Lett. A. 355, 18 (2006) http://dx.doi.org/10.1016/j.physleta.2006.01.092[Crossref]
  • [31] D.A.S. Rees, I. Pop, IMA J. Appl. Math. 61, 179 (1998) http://dx.doi.org/10.1093/imamat/61.2.179[Crossref]
  • [32] G.S. Guram, A.C. Smith, Math. Appl. 6, 213 (1980)
  • [33] S.J. Liao, Commun. Nonlinear. Sci. 15, 2003 (2010) http://dx.doi.org/10.1016/j.cnsns.2009.09.002[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0246-9
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