Multiple Solutions of Laminar Flow in Channels with a Transverse Magnetic Field

doi:10.1088/0256-307X/26/9/094101

Chin. Phys. Lett.

2009, Vol. 26

Issue (9): 094101 DOI: 10.1088/0256-307X/26/9/094101

FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS)

Multiple Solutions of Laminar Flow in Channels with a Transverse Magnetic Field

LI Bo-Tong¹, ZHENG Lian-Cun¹, ZHANG Xin-Xin²

¹Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083²School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083

Cite this article:

LI Bo-Tong, ZHENG Lian-Cun, ZHANG Xin-Xin 2009 Chin. Phys. Lett. 26 094101

Download: PDF(319KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract We present a numerical investigation for steady laminar flow of a viscous incompressible electrically conducting fluid through a channel of a rectangular cross-section with a transverse magnetic field and suction or injection walls. Multiple solutions are presented for values of suction Reynolds number R and velocity coefficients of accelerating walls. Additionally, the associated transfer characteristics are discussed in detail.

Keywords: 41.20.Cv 47.15.Rq 47.15.Cb

Received: 11 March 2009 Published: 28 August 2009

PACS:	41.20.Cv	(Electrostatics; Poisson and Laplace equations, boundary-value problems)
	47.15.Rq	(Laminar flows in cavities, channels, ducts, and conduits)
	47.15.Cb	(Laminar boundary layers)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/10.1088/0256-307X/26/9/094101 OR https://cpl.iphy.ac.cn/Y2009/V26/I9/094101

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	LI Bo-Tong
	ZHENG Lian-Cun
	ZHANG Xin-Xin

[1] Berman A S 1953 J. Appl. Phys. 24 1232
[2] Suryaprakasarao U 1961 Appl. Sci. Res. 9 374
[3] Shrestha G M 1967 Quart. J. Mech. Applied Math. 2 233
[4] Raithby G 1971 Int. J. Heat Mass Transfer 14223
[5] Terrill R M 1973 Q. J. Mech. Appl. Maths. 26347
[6] Robinson W A 1976 J. Eng. Math. 10 23
[7] Watson E B B, Banks W H H and Zaturska M B 1990 J.Fluid Mech. 212 451
[8] MacGillivray A D, Lu C and Hastings S P 1992 SIAM J.Appl. Math. 49 139
[9] Hastings S P, Lu C and MacGillivray A D 1992 SIAM. J.Math. Anal. 23 201
[10] Lu C 1994 Canada Quart. Appl. Math. 2 361
[11] Lu C 1997 SIAM J. Math. Anal. 28 1113
[12] Ishak A, Nazar R and Pop I 2009 Chin. Phys. Lett. 26 014702
[13] Ishak A, Nazar R and Pop I 2007 Chin. Phys. Lett. 24 2895
[14] Ishak A, Nazar R and Pop I 2007 Chin. Phys. Lett. 8 2274
[15] Zheng L, Zhang X, and He J 2003 Chin. Phys. Lett. 20 83
[16] Zheng L, Zhang X, and He J 2003 Chin. Phys. Lett. 20 858
[17] Li B, Zheng L, Zhang X, and Ma L 2008 Adv. StudiesTheor. Phys. 2 473
[18] Fang T, Zhang J and Yao S 2009 Chin. Phys. Lett. 26 014703
[19] Cortell R 2008 Chin. Phys. Lett. 25 1340

Related articles from Frontiers Journals

[1]	HU Liang, WANG Hai-Peng, LI Liu-Hui, WEI Bing-Bo. Electrostatic Levitation of Plant Seeds and Flower Buds[J]. Chin. Phys. Lett., 2012, 29(6): 094101
[2]	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): 094101
[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): 094101
[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): 094101
[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): 094101
[6]	Krishnendu Bhattacharyya . Dual Solutions in Unsteady Stagnation-Point Flow over a Shrinking Sheet**[J]. Chin. Phys. Lett., 2011, 28(8): 094101
[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): 094101
[8]	Krishnendu Bhattacharyya . Boundary Layer Flow and Heat Transfer over an Exponentially Shrinking Sheet[J]. Chin. Phys. Lett., 2011, 28(7): 094101
[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): 094101
[10]	SI Xin-Hui, ZHENG Lian-Cun, ZHANG Xin-Xin, SI Xin-Yi, YANG Jian-Hong . Flow of a Viscoelastic Fluid through a Porous Channel with Expanding or Contracting Walls**[J]. Chin. Phys. Lett., 2011, 28(4): 094101
[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): 094101
[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): 094101
[13]	Swati Mukhopadhyay . Heat Transfer in a Moving Fluid over a Moving Non-Isothermal Flat Surface[J]. Chin. Phys. Lett., 2011, 28(12): 094101
[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): 094101
[15]	Tiegang FANG, Shanshan YAO . Viscous Swirling Flow over a Stretching Cylinder**[J]. Chin. Phys. Lett., 2011, 28(11): 094101

Viewed

Full text

Abstract