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Article: Electrohydrodynamic stability of poorly conducting parallel fluid flow in the presence of transverse electric field

TitleElectrohydrodynamic stability of poorly conducting parallel fluid flow in the presence of transverse electric field
Authors
KeywordsElectrohydrodynamic
Poorly conducting fluid
Stability
Transverse electric field
Issue Date2008
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/nlm
Citation
International Journal Of Non-Linear Mechanics, 2008, v. 43 n. 7, p. 643-649 How to Cite?
AbstractIn this paper we study electrohydrodynamic instability (EHDI) in a poorly conducting parallel inviscid fluid in the presence of an electric field and space variation of electrical conductivity. It is shown that EHDI causes inhomogeniety in the material science processing. This inhomogeniety can be controlled by understanding the nature of EHDI in the presence of an electric field and a shear due to horizontal basic velocity. The condition for EHDI is determined in terms of the electric number rather than the point of inflexion of the basic velocity profile using both moment and energy methods combined with Galerkin expansion technique. From this analysis, it is shown that a proper choice of electric number controls inhomogeniety by controlling instability of a parallel poorly conducting inviscid fluid. For unstable motion it is shown that the growth rate, Ci, is confined in a semi circle regionCr 2 + Ci 2 - 2 fenced(ub - frac(Ω, φ)) Cr + ub 2 - 2 ub frac(Ω, φ) = 0,which has the center (ub - Ω / φ, 0) and radius | Ω / φ | where Cr is the phase velocity, ub the basic horizontal velocity, φ = D2 ub, Ω = W1 x0 2 α2 the electric number and D = d / dy. From this an upper bound for the amplification factor is shown to be asCi 2 ≤ max fenced(frac(Ω, φ))2,under the condition that φ has the same sign between 0 and 1. © 2008 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/59074
ISSN
2015 Impact Factor: 1.92
2015 SCImago Journal Rankings: 1.211
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorShubha, Nen_HK
dc.contributor.authorRudraiah, Nen_HK
dc.contributor.authorChow, KWen_HK
dc.date.accessioned2010-05-31T03:42:26Z-
dc.date.available2010-05-31T03:42:26Z-
dc.date.issued2008en_HK
dc.identifier.citationInternational Journal Of Non-Linear Mechanics, 2008, v. 43 n. 7, p. 643-649en_HK
dc.identifier.issn0020-7462en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59074-
dc.description.abstractIn this paper we study electrohydrodynamic instability (EHDI) in a poorly conducting parallel inviscid fluid in the presence of an electric field and space variation of electrical conductivity. It is shown that EHDI causes inhomogeniety in the material science processing. This inhomogeniety can be controlled by understanding the nature of EHDI in the presence of an electric field and a shear due to horizontal basic velocity. The condition for EHDI is determined in terms of the electric number rather than the point of inflexion of the basic velocity profile using both moment and energy methods combined with Galerkin expansion technique. From this analysis, it is shown that a proper choice of electric number controls inhomogeniety by controlling instability of a parallel poorly conducting inviscid fluid. For unstable motion it is shown that the growth rate, Ci, is confined in a semi circle regionCr 2 + Ci 2 - 2 fenced(ub - frac(Ω, φ)) Cr + ub 2 - 2 ub frac(Ω, φ) = 0,which has the center (ub - Ω / φ, 0) and radius | Ω / φ | where Cr is the phase velocity, ub the basic horizontal velocity, φ = D2 ub, Ω = W1 x0 2 α2 the electric number and D = d / dy. From this an upper bound for the amplification factor is shown to be asCi 2 ≤ max fenced(frac(Ω, φ))2,under the condition that φ has the same sign between 0 and 1. © 2008 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/nlmen_HK
dc.relation.ispartofInternational Journal of Non-Linear Mechanicsen_HK
dc.subjectElectrohydrodynamicen_HK
dc.subjectPoorly conducting fluiden_HK
dc.subjectStabilityen_HK
dc.subjectTransverse electric fielden_HK
dc.titleElectrohydrodynamic stability of poorly conducting parallel fluid flow in the presence of transverse electric fielden_HK
dc.typeArticleen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.ijnonlinmec.2008.02.009en_HK
dc.identifier.scopuseid_2-s2.0-47049108630en_HK
dc.identifier.hkuros156677en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-47049108630&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume43en_HK
dc.identifier.issue7en_HK
dc.identifier.spage643en_HK
dc.identifier.epage649en_HK
dc.identifier.isiWOS:000258350300008-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridShubha, N=15133328200en_HK
dc.identifier.scopusauthoridRudraiah, N=7005972595en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK

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