Chin. Phys. Lett.  2011, Vol. 28 Issue (4): 044702    DOI: 10.1088/0256-307X/28/4/044702
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
Flow of a Viscoelastic Fluid through a Porous Channel with Expanding or Contracting Walls
SI Xin-Hui1**, ZHENG Lian-Cun1, ZHANG Xin-Xin2, SI Xin-Yi3, YANG Jian-Hong2
1Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083
2Department of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083
3College of Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098
Cite this article:   
SI Xin-Hui, ZHENG Lian-Cun, ZHANG Xin-Xin et al  2011 Chin. Phys. Lett. 28 044702
Download: PDF(590KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The flow of a viscoelastic fluid in porous channels with expanding or contracting walls is investigated. Using a similar transformation, the governing equations are reduced to a nonlinear fifth-order differential equation. The homotopy analysis method is employed to obtain the expression for velocity fields. The analytical solutions are influenced by the permeation Reynolds number Re, the wall expansion ratio α and viscoelastic parameter ω. Graphs are sketched and the effects of some values of parameters, especially the expansion ratio, on the velocity fields are discussed in detail.
Keywords: 47.15.Cb      02.60.Lj      46.35.1z     
Received: 12 June 2010      Published: 29 March 2011
PACS:  47.15.Cb (Laminar boundary layers)  
  02.60.Lj (Ordinary and partial differential equations; boundary value problems)  
  46.35.1z  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/28/4/044702       OR      https://cpl.iphy.ac.cn/Y2011/V28/I4/044702
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
SI Xin-Hui
ZHENG Lian-Cun
ZHANG Xin-Xin
SI Xin-Yi
YANG Jian-Hong
[1] Uchida S and Aoki H 1977 J. Fluid. Mech. 82 371
[2] Goto M and Uchida S 1990 Trans. Jpn. Soc. Aeronaut. Space Sci. 33 14
[3] Majdalani J, Zhou C and Dawson C A 2002 J. Biomech. 35 1399
[4] Majdalani J and Zhou C 2003 Z. Angew. Math. Mech. 83 181
[5] Dauenhauer C E and Majdalani J 2003 Phys. Fluids. 15 1485
[6] Asghar S, Mushtaq M and Hayat T 2010 Nonlinear. Anal-Real. 11 555
[7] Dinarvand S and Rashidi M M 2010 Nonlin. Anal-Real. 11 1502
[8] Dinarvand S, Rashidi M M and Doosthoseini A 2009 Cent. Eur. J. Phys. 7 791
[9] Xu H, Lin ZL, Liao Sj and Majdalani J 2010 Phys. Fluids 22 053601
[10] Si X H, Zheng L C, Zhang X X and Chao Y 2011 Acta Mech. Sin. (in press)
[11] Srinivasacharya D, Srinivasacharyulu N and Odelu O 2009 Int. Commun. Heat. Mass. 36 180
[12] Liao S J 2003 Beyond Perturbation: Introduction to the Homotopy Analysis Method (Boca Raton: Chapman Hall/CRC Press)
[13] Kurtcebe C and Erim M Z 2005 Int. J. Heat. Mass. Trans. 48 5072
Related articles from Frontiers Journals
[1] Swati Mukhopadhyay*. Heat Transfer Analysis of the Unsteady Flow of a Maxwell Fluid over a Stretching Surface in the Presence of a Heat Source/Sink[J]. Chin. Phys. Lett., 2012, 29(5): 044702
[2] S. S. Dehcheshmeh*,S. Karimi Vanani,J. S. Hafshejani. Operational Tau Approximation for the Fokker–Planck Equation[J]. Chin. Phys. Lett., 2012, 29(4): 044702
[3] M. Sajid, K. Mahmood, Z. Abbas. Axisymmetric Stagnation-Point Flow with a General Slip Boundary Condition over a Lubricated Surface[J]. Chin. Phys. Lett., 2012, 29(2): 044702
[4] Chandaneswar Midya*. Exact Solutions of Chemically Reactive Solute Distribution in MHD Boundary Layer Flow over a Shrinking Surface[J]. Chin. Phys. Lett., 2012, 29(1): 044702
[5] Krishnendu Bhattacharyya**, Swati Mukhopadhyay, G. C. Layek . Slip Effects on an Unsteady Boundary Layer Stagnation-Point Flow and Heat Transfer towards a Stretching Sheet[J]. Chin. Phys. Lett., 2011, 28(9): 044702
[6] Krishnendu Bhattacharyya** . Dual Solutions in Unsteady Stagnation-Point Flow over a Shrinking Sheet[J]. Chin. Phys. Lett., 2011, 28(8): 044702
[7] Krishnendu Bhattacharyya**, G. C. Layek . MHD Boundary Layer Flow of Dilatant Fluid in a Divergent Channel with Suction or Blowing[J]. Chin. Phys. Lett., 2011, 28(8): 044702
[8] Krishnendu Bhattacharyya . Boundary Layer Flow and Heat Transfer over an Exponentially Shrinking Sheet[J]. Chin. Phys. Lett., 2011, 28(7): 044702
[9] TANG Zhan-Qi, JIANG Nan, ** . TR PIV Experimental Investigation on Bypass Transition Induced by a Cylinder Wake[J]. Chin. Phys. Lett., 2011, 28(5): 044702
[10] Junaid Ali Khan*, Muhammad Asif Zahoor Raja**, Ijaz Mansoor Qureshi . Stochastic Computational Approach for Complex Nonlinear Ordinary Differential Equations[J]. Chin. Phys. Lett., 2011, 28(2): 044702
[11] Krishnendu Bhattacharyya**, Swati Mukhopadhyay, G. C. Layek . MHD Boundary Layer Slip Flow and Heat Transfer over a Flat Plate[J]. Chin. Phys. Lett., 2011, 28(2): 044702
[12] ZHANG Hui, FAN Bao-Chun**, CHEN Zhi-Hua . In-depth Study on Cylinder Wake Controlled by Lorentz Force[J]. Chin. Phys. Lett., 2011, 28(12): 044702
[13] Swati Mukhopadhyay . Heat Transfer in a Moving Fluid over a Moving Non-Isothermal Flat Surface[J]. Chin. Phys. Lett., 2011, 28(12): 044702
[14] FANG Tie-Gang*, ZHANG Ji, ZHONG Yong-Fang, TAO Hua . Unsteady Viscous Flow over an Expanding Stretching Cylinder[J]. Chin. Phys. Lett., 2011, 28(12): 044702
[15] Junaid Ali Khan**, Muhammad Asif Zahoor Raja**, Ijaz Mansoor Qureshi . Novel Approach for a van der Pol Oscillator in the Continuous Time Domain[J]. Chin. Phys. Lett., 2011, 28(11): 044702
Viewed
Full text


Abstract