Establishment and solution of governing equation for plana-grooved liquid seals based on three-control-volume theory
Purpose This paper aims to study the dynamic characteristics of the straight-through labyrinth seals, which is applied on an oil sealing belt of hydrostatic support system (HSS) oil pocket, the establishment and solution process of seal governing equation is deduced. Design/methodology/approach The...
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| Veröffentlicht in: | Industrial lubrication and tribology 2020-04, Vol.72 (3), p.257-266 |
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| creator | Zhang, Xiumin Yin, Mingfu Sun, Huilai |
| description | Purpose
This paper aims to study the dynamic characteristics of the straight-through labyrinth seals, which is applied on an oil sealing belt of hydrostatic support system (HSS) oil pocket, the establishment and solution process of seal governing equation is deduced.
Design/methodology/approach
The three-control-volume model theory is an efficient approach that is applied well. This paper starts with three relative governing equations for the flow characteristics of straight-through labyrinth seals in the plane direction. Referring to the establishment process of governing equations for circumferentially-grooved liquid seals, the governing equation based on space rectangular coordinate system is established, which are transformed into dimensionless equations through a nondimensionalized process and solved by a perturbation method. It contains a zeroth-order equation, through which a steady fluid distribution is determined, and a first-order equation, through which the seal’s dynamic coefficients can be acquired.
Findings
The governing equation for plane-grooved straight-through labyrinth seals can be established and solved by the three-control-volume theory.
Practical implications
This study have important guiding significance for further theoretical research and structural design of the straight-through labyrinth seals on the oil sealing belt of HSS oil pocket.
Originality/value
In this paper, a straight-through labyrinth seal is installed in an oil sealing belt. The three-control-volume governing equations is established in space rectangular coordinate system, and the shear force of the fluid Y-direction is different from the previous model. |
| doi_str_mv | 10.1108/ILT-06-2019-0228 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_emera</sourceid><recordid>TN_cdi_emerald_primary_10_1108_ILT-06-2019-0228</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2533951809</sourcerecordid><originalsourceid>FETCH-LOGICAL-c311t-f729ccec9490ceb826117ea4ce1789b6620795358d22cfb0c8a78002de7234093</originalsourceid><addsrcrecordid>eNptkc1LAzEQxYMoWKt3jwueYyfZjyRHKVULBS_1HLLZ2XbL7qZNdgv9701bL4KngTfvvYHfEPLM4JUxkLPlak2hoByYosC5vCETJnJJcyHyWzIBSAsqheL35CGEHQDkkBUTMizCYMq2CdsO-yExfZUE145D4_rE1cnGHdH3Tb9J8DCai1o7n-xb0xu68S6uq6RtDmMTc2jakJQmRCn6hq1HpNb1g3ctPcbSDqOIzp8eyV0dvfj0O6fk-32xnn_S1dfHcv62ojZlbKC14MpatCpTYLGUvGBMoMksMiFVWRQchMrTXFac27oEK42QALxCwdMMVDolL9fevXeHEcOgd270fTypeZ6mKmfy4oKry3oXgsda733TGX_SDPSZrY5sNRT6zFaf2cbI7BrBDr1pq_8Sf76R_gB4cHw_</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2533951809</pqid></control><display><type>article</type><title>Establishment and solution of governing equation for plana-grooved liquid seals based on three-control-volume theory</title><source>Emerald Journals</source><creator>Zhang, Xiumin ; Yin, Mingfu ; Sun, Huilai</creator><creatorcontrib>Zhang, Xiumin ; Yin, Mingfu ; Sun, Huilai</creatorcontrib><description>Purpose
This paper aims to study the dynamic characteristics of the straight-through labyrinth seals, which is applied on an oil sealing belt of hydrostatic support system (HSS) oil pocket, the establishment and solution process of seal governing equation is deduced.
Design/methodology/approach
The three-control-volume model theory is an efficient approach that is applied well. This paper starts with three relative governing equations for the flow characteristics of straight-through labyrinth seals in the plane direction. Referring to the establishment process of governing equations for circumferentially-grooved liquid seals, the governing equation based on space rectangular coordinate system is established, which are transformed into dimensionless equations through a nondimensionalized process and solved by a perturbation method. It contains a zeroth-order equation, through which a steady fluid distribution is determined, and a first-order equation, through which the seal’s dynamic coefficients can be acquired.
Findings
The governing equation for plane-grooved straight-through labyrinth seals can be established and solved by the three-control-volume theory.
Practical implications
This study have important guiding significance for further theoretical research and structural design of the straight-through labyrinth seals on the oil sealing belt of HSS oil pocket.
Originality/value
In this paper, a straight-through labyrinth seal is installed in an oil sealing belt. The three-control-volume governing equations is established in space rectangular coordinate system, and the shear force of the fluid Y-direction is different from the previous model.</description><identifier>ISSN: 0036-8792</identifier><identifier>EISSN: 1758-5775</identifier><identifier>DOI: 10.1108/ILT-06-2019-0228</identifier><language>eng</language><publisher>Bradford: Emerald Publishing Limited</publisher><subject>Belts ; Cartesian coordinates ; Dynamic characteristics ; Flow characteristics ; Flow control ; Flow velocity ; Hydraulics ; Labyrinth seals ; Linear equations ; Mathematical models ; Partial differential equations ; Perturbation methods ; Sealing ; Shear forces ; Shear stress ; Structural design ; Support systems ; Viscosity</subject><ispartof>Industrial lubrication and tribology, 2020-04, Vol.72 (3), p.257-266</ispartof><rights>Emerald Publishing Limited</rights><rights>Emerald Publishing Limited 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c311t-f729ccec9490ceb826117ea4ce1789b6620795358d22cfb0c8a78002de7234093</citedby><cites>FETCH-LOGICAL-c311t-f729ccec9490ceb826117ea4ce1789b6620795358d22cfb0c8a78002de7234093</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.emerald.com/insight/content/doi/10.1108/ILT-06-2019-0228/full/html$$EHTML$$P50$$Gemerald$$H</linktohtml><link.rule.ids>314,776,780,961,11614,27901,27902,52664</link.rule.ids></links><search><creatorcontrib>Zhang, Xiumin</creatorcontrib><creatorcontrib>Yin, Mingfu</creatorcontrib><creatorcontrib>Sun, Huilai</creatorcontrib><title>Establishment and solution of governing equation for plana-grooved liquid seals based on three-control-volume theory</title><title>Industrial lubrication and tribology</title><description>Purpose
This paper aims to study the dynamic characteristics of the straight-through labyrinth seals, which is applied on an oil sealing belt of hydrostatic support system (HSS) oil pocket, the establishment and solution process of seal governing equation is deduced.
Design/methodology/approach
The three-control-volume model theory is an efficient approach that is applied well. This paper starts with three relative governing equations for the flow characteristics of straight-through labyrinth seals in the plane direction. Referring to the establishment process of governing equations for circumferentially-grooved liquid seals, the governing equation based on space rectangular coordinate system is established, which are transformed into dimensionless equations through a nondimensionalized process and solved by a perturbation method. It contains a zeroth-order equation, through which a steady fluid distribution is determined, and a first-order equation, through which the seal’s dynamic coefficients can be acquired.
Findings
The governing equation for plane-grooved straight-through labyrinth seals can be established and solved by the three-control-volume theory.
Practical implications
This study have important guiding significance for further theoretical research and structural design of the straight-through labyrinth seals on the oil sealing belt of HSS oil pocket.
Originality/value
In this paper, a straight-through labyrinth seal is installed in an oil sealing belt. The three-control-volume governing equations is established in space rectangular coordinate system, and the shear force of the fluid Y-direction is different from the previous model.</description><subject>Belts</subject><subject>Cartesian coordinates</subject><subject>Dynamic characteristics</subject><subject>Flow characteristics</subject><subject>Flow control</subject><subject>Flow velocity</subject><subject>Hydraulics</subject><subject>Labyrinth seals</subject><subject>Linear equations</subject><subject>Mathematical models</subject><subject>Partial differential equations</subject><subject>Perturbation methods</subject><subject>Sealing</subject><subject>Shear forces</subject><subject>Shear stress</subject><subject>Structural design</subject><subject>Support systems</subject><subject>Viscosity</subject><issn>0036-8792</issn><issn>1758-5775</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNptkc1LAzEQxYMoWKt3jwueYyfZjyRHKVULBS_1HLLZ2XbL7qZNdgv9701bL4KngTfvvYHfEPLM4JUxkLPlak2hoByYosC5vCETJnJJcyHyWzIBSAsqheL35CGEHQDkkBUTMizCYMq2CdsO-yExfZUE145D4_rE1cnGHdH3Tb9J8DCai1o7n-xb0xu68S6uq6RtDmMTc2jakJQmRCn6hq1HpNb1g3ctPcbSDqOIzp8eyV0dvfj0O6fk-32xnn_S1dfHcv62ojZlbKC14MpatCpTYLGUvGBMoMksMiFVWRQchMrTXFac27oEK42QALxCwdMMVDolL9fevXeHEcOgd270fTypeZ6mKmfy4oKry3oXgsda733TGX_SDPSZrY5sNRT6zFaf2cbI7BrBDr1pq_8Sf76R_gB4cHw_</recordid><startdate>20200406</startdate><enddate>20200406</enddate><creator>Zhang, Xiumin</creator><creator>Yin, Mingfu</creator><creator>Sun, Huilai</creator><general>Emerald Publishing Limited</general><general>Emerald Group Publishing Limited</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>7U5</scope><scope>7WY</scope><scope>7XB</scope><scope>8AO</scope><scope>8BQ</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>F28</scope><scope>FR3</scope><scope>HCIFZ</scope><scope>JG9</scope><scope>K6~</scope><scope>KB.</scope><scope>L.-</scope><scope>L6V</scope><scope>L7M</scope><scope>M0F</scope><scope>M7S</scope><scope>PDBOC</scope><scope>PQBIZ</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope></search><sort><creationdate>20200406</creationdate><title>Establishment and solution of governing equation for plana-grooved liquid seals based on three-control-volume theory</title><author>Zhang, Xiumin ; Yin, Mingfu ; Sun, Huilai</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c311t-f729ccec9490ceb826117ea4ce1789b6620795358d22cfb0c8a78002de7234093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Belts</topic><topic>Cartesian coordinates</topic><topic>Dynamic characteristics</topic><topic>Flow characteristics</topic><topic>Flow control</topic><topic>Flow velocity</topic><topic>Hydraulics</topic><topic>Labyrinth seals</topic><topic>Linear equations</topic><topic>Mathematical models</topic><topic>Partial differential equations</topic><topic>Perturbation methods</topic><topic>Sealing</topic><topic>Shear forces</topic><topic>Shear stress</topic><topic>Structural design</topic><topic>Support systems</topic><topic>Viscosity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Xiumin</creatorcontrib><creatorcontrib>Yin, Mingfu</creatorcontrib><creatorcontrib>Sun, Huilai</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>ABI/INFORM Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ProQuest Pharma Collection</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>SciTech Premium Collection</collection><collection>Materials Research Database</collection><collection>ProQuest Business Collection</collection><collection>Materials Science Database</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ABI/INFORM Trade & Industry</collection><collection>Engineering Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><jtitle>Industrial lubrication and tribology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Xiumin</au><au>Yin, Mingfu</au><au>Sun, Huilai</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Establishment and solution of governing equation for plana-grooved liquid seals based on three-control-volume theory</atitle><jtitle>Industrial lubrication and tribology</jtitle><date>2020-04-06</date><risdate>2020</risdate><volume>72</volume><issue>3</issue><spage>257</spage><epage>266</epage><pages>257-266</pages><issn>0036-8792</issn><eissn>1758-5775</eissn><abstract>Purpose
This paper aims to study the dynamic characteristics of the straight-through labyrinth seals, which is applied on an oil sealing belt of hydrostatic support system (HSS) oil pocket, the establishment and solution process of seal governing equation is deduced.
Design/methodology/approach
The three-control-volume model theory is an efficient approach that is applied well. This paper starts with three relative governing equations for the flow characteristics of straight-through labyrinth seals in the plane direction. Referring to the establishment process of governing equations for circumferentially-grooved liquid seals, the governing equation based on space rectangular coordinate system is established, which are transformed into dimensionless equations through a nondimensionalized process and solved by a perturbation method. It contains a zeroth-order equation, through which a steady fluid distribution is determined, and a first-order equation, through which the seal’s dynamic coefficients can be acquired.
Findings
The governing equation for plane-grooved straight-through labyrinth seals can be established and solved by the three-control-volume theory.
Practical implications
This study have important guiding significance for further theoretical research and structural design of the straight-through labyrinth seals on the oil sealing belt of HSS oil pocket.
Originality/value
In this paper, a straight-through labyrinth seal is installed in an oil sealing belt. The three-control-volume governing equations is established in space rectangular coordinate system, and the shear force of the fluid Y-direction is different from the previous model.</abstract><cop>Bradford</cop><pub>Emerald Publishing Limited</pub><doi>10.1108/ILT-06-2019-0228</doi><tpages>10</tpages></addata></record> |
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| ispartof | Industrial lubrication and tribology, 2020-04, Vol.72 (3), p.257-266 |
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| language | eng |
| recordid | cdi_emerald_primary_10_1108_ILT-06-2019-0228 |
| source | Emerald Journals |
| subjects | Belts Cartesian coordinates Dynamic characteristics Flow characteristics Flow control Flow velocity Hydraulics Labyrinth seals Linear equations Mathematical models Partial differential equations Perturbation methods Sealing Shear forces Shear stress Structural design Support systems Viscosity |
| title | Establishment and solution of governing equation for plana-grooved liquid seals based on three-control-volume theory |
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