The flow of a micropolar fluid through a porous channel with expanding or contracting walls

• Authors: Xinhui Si , Liancun Zheng , Xinxin Zhang , Ying Chao
• Languages of publication: EN

Abstracts

EN

The flow of a micropolar fluid in a porous channel with expanding or contracting walls is investigated. The governing equations are reduced to ordinary ones by using similar transformations. Homotopy analysis method (HAM) is employed to obtain the expressions for the velocity fields and microrotation fields. Graphs are sketched for the effects of some values of parameters, especially the expansion ratio, on the velocity and microrotation fields and associated dynamic characteristics are analyzed in detail.

Keywords

EN

homotopy analysis method; micropolar fluid; expanding or contracting walls; porous channel; expansion ratio

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 3
• Pages: 825-834

Dates

published

1 - 6 - 2011

online

26 - 2 - 2011

Contributors

author

Xinhui Si

• Department of Mathematics and Mechanics, University of Science and Technology, 100083, Beijing, China

author

Liancun Zheng

• Department of Mathematics and Mechanics, University of Science and Technology, 100083, Beijing, China

author

Xinxin Zhang

• Department of Mechanical engineering, University of Science and Technology, 100083, Beijing, China

author

Ying Chao

• Research institute of Chemical defense, 102205, Beijing, China

References

• [1] H. N. Chang, J. S. Ha, J. K. Park, I. H. Kim, H. D. Shin, J. Biomech. 22, 1257 (1989) http://dx.doi.org/10.1016/0021-9290(89)90228-5[Crossref]
• [2] S. Uchida, H. Aoki, J. FluidMech. 82, 371 (1977)
• [3] M. Ohki, B. JSME 23, 679 (1980) http://dx.doi.org/10.1299/jsme1958.23.679[Crossref]
• [4] M. Goto, S. Uchida, T. Jpn. Soc. Aeronaut. S. 33, 14 (1990)
• [5] N. M. Bujurke, N. P. Pai, G. Jayaraman, IMA J. Appl. Math. 60, 151 (1998) http://dx.doi.org/10.1093/imamat/60.2.151[Crossref]
• [6] Y. Ma, W. K. Van Moorhem, R. W. Shorthill, J. Propul. Power 7, 692 (1991) http://dx.doi.org/10.2514/3.23381[Crossref]
• [7] Y. Ma, W. K. Van Moorhem, R. W. Shorthill, J. Vib. Acoust. 112, 550 (1990) http://dx.doi.org/10.1115/1.2930141[Crossref]
• [8] J. Barron, J. Majdalani, W. K. Van Moorhem, J. Sound Vib. 235, 281 (2000) http://dx.doi.org/10.1006/jsvi.2000.2920[Crossref]
• [9] J. Majdalani, C. Zhou, C. A. Dawson, J. Biomech. 35, 1399 (2002) http://dx.doi.org/10.1016/S0021-9290(02)00186-0[Crossref]
• [10] J. Majdalani, C. Zhou, Z. Angew. Math. Mech. 83, 181 (2003) http://dx.doi.org/10.1002/zamm.200310018[Crossref]
• [11] C. E. Dauenhauer, J. Majdalani, Phys. Fluids 15, 1485 (2003) http://dx.doi.org/10.1063/1.1567719[Crossref]
• [12] A. Adamkowski, J. Fluid. Eng.-T. ASME 125, 716 (2003) http://dx.doi.org/10.1115/1.1593703[Crossref]
• [13] S. Asghar, M. Mushtaq, A. H. Kara, Appl. Math. Modell. 32, 2936 (2008) http://dx.doi.org/10.1016/j.apm.2007.10.006[Crossref]
• [14] Y. Z. Boutros, M. B. Abd-el-Malek, N. A. Badran, H. S. Hassan, Appl. Math. Modell. 31, 1092 (2007) http://dx.doi.org/10.1016/j.apm.2006.03.026[Crossref]
• [15] S. Asghar, M. Mushtaq, T. Hayat, Nonlinear Anal.-Real 11, 555 (2010) http://dx.doi.org/10.1016/j.nonrwa.2009.01.049[Crossref]
• [16] S. Dinarvand, M. M. Rashidi, A. Doosthoseini, Cent. Eur. J. Phys. 7, 791 (2009) http://dx.doi.org/10.2478/s11534-009-0024-x[Crossref]
• [17] S. Dinarvand, M. M. Rashidi, Nonlinear Anal.-Real 11, 1502 (2010) http://dx.doi.org/10.1016/j.nonrwa.2009.03.006[Crossref]
• [18] XH. Si, LC. Zheng, XX. Zhang, Y. Chao, Acta Mech. Sinica (in press)
• [19] D. Srinivasacharya, N. Srinivasacharyulu, O. Odelu, Int. Commun. Heat Mass 36, 180 (2009) http://dx.doi.org/10.1016/j.icheatmasstransfer.2008.10.005[Crossref]
• [20] A. C. Eringen, J. Math. Mech. 16, 1 (1966)
• [21] A. C. Eringen, J. Math. Anal. Appl. 38, 480 (1972) http://dx.doi.org/10.1016/0022-247X(72)90106-0[Crossref]
• [22] T. Ariman, M. A. Turk, N. D. Sylvester, Int. J. Eng. Sci. 11, 905 (1973) http://dx.doi.org/10.1016/0020-7225(73)90038-4[Crossref]
• [23] T. Ariman, M. A. Turk, N. D. Sylvester, Int. J. Eng. Sci. 12, 273 (1974) http://dx.doi.org/10.1016/0020-7225(74)90059-7[Crossref]
• [24] A. C. Eringen, Microcontinuum field theories II: Fluent media (Springer, New York, 2001)
• [25] P. S. Ramachandran, M. N. Mathur, S. K. Ojha, Int. J. Eng. Sci. 17, 625 (1979) http://dx.doi.org/10.1016/0020-7225(79)90131-9[Crossref]
• [26] M. Anwar Kamal, S. Hussain, J. Nat. Sci. Math. 34, 23 (1994)
• [27] N. A. Kelson, T. W. Farrell, Int. Commun. Heat Mass 28, 479 (2001) http://dx.doi.org/10.1016/S0735-1933(01)00252-4[Crossref]
• [28] Z. Ziabakhsh, G. Domairry, Advances in Theoretical and Applied Mechanics 1, 79 (2008)
• [29] A. A. Joneidi, D. D. Ganji, M. Babaelahi, Int. Commun. Heat Mass 36, 1082 (2009) http://dx.doi.org/10.1016/j.icheatmasstransfer.2009.06.021[Crossref]
• [30] SJ. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis Method (Chapman & Hall/CRC Press., Boca. Raton, 2003) http://dx.doi.org/10.1201/9780203491164[Crossref]
• [31] SJ. Liao, Appl. Math. Comput. 147, 499 (2004) http://dx.doi.org/10.1016/S0096-3003(02)00790-7[Crossref]
• [32] T. Hayat, M. Khan, Nonlinear Dynam. 42, 395 (2005) http://dx.doi.org/10.1007/s11071-005-7346-z[Crossref]
• [33] T. Hayat, M. Khan, S. Asghar, Appl. Math. Comput. 155, 417 (2004) http://dx.doi.org/10.1016/S0096-3003(03)00787-2[Crossref]
• [34] T. Hayat, M. Khan, A. M. Siddiqui, S. Asghar, Int. J. Nonlinear Mech. 39, 1621 (2004) http://dx.doi.org/10.1016/j.ijnonlinmec.2002.12.001[Crossref]
• [35] Z. Abbas, M. Sajid, T. Hayat, Theor. Comp. Fluid Dyn. 20, 229 (2006) http://dx.doi.org/10.1007/s00162-006-0025-y[Crossref]
• [36] M. Sajid, T. Hayat, S. Asghar, Phys. Lett. A 355, 18 (2006) http://dx.doi.org/10.1016/j.physleta.2006.01.092[Crossref]
• [37] M. Sajid, Z. Abbas, T. Hayat, Appl. Math. Modell. 33, 4120 (2009) http://dx.doi.org/10.1016/j.apm.2009.02.006[Crossref]
• [38] D. Srinivasacharya, J. V. Ramana Murthy, D. Venugopalam, Int. J. Eng. Sci. 39, 1557 (2001) http://dx.doi.org/10.1016/S0020-7225(01)00027-1[Crossref]
• [39] D. A. S. Rees, I. Pop, IMAJ. Appl. Math. 61, 179 (1998) http://dx.doi.org/10.1093/imamat/61.2.179[Crossref]
• [40] G. S. Guram, A. C. Smith, Comput. Math. Appl. 6, 213 (1980) http://dx.doi.org/10.1016/0898-1221(80)90030-9[Crossref]

Identifiers

DOI

10.2478/s11534-010-0100-2