Stability Analysis of a Film Flow Down an Incline in the Presence of a Floating Flexible Membrane View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2020-02-15

AUTHORS

M. Sani , H. Behera , S. Ghosh

ABSTRACT

The present study deals with the effects of floating flexible membrane on the instability of a gravity-driven flow down an incline. Linear stability of the flow system is explored using normal-mode analysis. Free surface gravity-driven flow is unstable at much lower Reynolds numbers. Instability of such a flow can be controlled either by changing behavioral of the lower wall or by altering the surface waves at the free surface which is done here by including a floating flexible membrane at the top of the liquid layer. Influence of membrane tension is taken into account in terms of stress jump at the free surface. The Orr-Sommerfeld system of the flow is solved numerically using spectral collocation method. The results displays a destabilizing role of membrane tension for a wide range of parameters. The growth rate of the perturbation waves increases with an increase of membrane tension and the critical Reynolds number becomes smaller. Therefore, it is possible to enhance the instability of the flow system with help of membrane properties, which may be useful in Ocean engineering and coating industries. More... »

PAGES

253-263

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-981-15-1338-1_19

DOI

http://dx.doi.org/10.1007/978-981-15-1338-1_19

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1124870009


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0915", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Interdisciplinary Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India", 
          "id": "http://www.grid.ac/institutes/grid.412742.6", 
          "name": [
            "Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Sani", 
        "givenName": "M.", 
        "id": "sg:person.015736124167.20", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015736124167.20"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India", 
          "id": "http://www.grid.ac/institutes/grid.412742.6", 
          "name": [
            "Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Behera", 
        "givenName": "H.", 
        "id": "sg:person.0623256321.27", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0623256321.27"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, Indian Institute of Technology, 342037, Jodhpur, India", 
          "id": "http://www.grid.ac/institutes/None", 
          "name": [
            "Department of Mathematics, Indian Institute of Technology, 342037, Jodhpur, India"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Ghosh", 
        "givenName": "S.", 
        "id": "sg:person.015073505563.94", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015073505563.94"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2020-02-15", 
    "datePublishedReg": "2020-02-15", 
    "description": "The present study deals with the effects of floating flexible membrane on the instability of a gravity-driven flow down an incline. Linear stability of the flow system is explored using normal-mode analysis. Free surface gravity-driven flow is unstable at much lower Reynolds numbers. Instability of such a flow can be controlled either by changing behavioral of the lower wall or by altering the surface waves at the free surface which is done here by including a floating flexible membrane at the top of the liquid layer. Influence of membrane tension is taken into account in terms of stress jump at the free surface. The Orr-Sommerfeld system of the flow is solved numerically using spectral collocation method. The results displays a destabilizing role of membrane tension for a wide range of parameters. The growth rate of the perturbation waves increases with an increase of membrane tension and the critical Reynolds number becomes smaller. Therefore, it is possible to enhance the instability of the flow system with help of membrane properties, which may be useful in Ocean engineering and coating industries.", 
    "editor": [
      {
        "familyName": "Manna", 
        "givenName": "Santanu", 
        "type": "Person"
      }, 
      {
        "familyName": "Datta", 
        "givenName": "Biswa Nath", 
        "type": "Person"
      }, 
      {
        "familyName": "Ahmad", 
        "givenName": "Sk. Safique", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-981-15-1338-1_19", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-981-15-1337-4", 
        "978-981-15-1338-1"
      ], 
      "name": "Mathematical Modelling and Scientific Computing with Applications", 
      "type": "Book"
    }, 
    "keywords": [
      "gravity-driven flow", 
      "flexible membrane", 
      "Reynolds number", 
      "free surface", 
      "low Reynolds number", 
      "Orr\u2013Sommerfeld system", 
      "critical Reynolds number", 
      "flow system", 
      "film flow", 
      "ocean engineering", 
      "liquid layer", 
      "lower wall", 
      "stress jump", 
      "surface waves", 
      "coating industry", 
      "present study deals", 
      "stability analysis", 
      "spectral collocation method", 
      "linear stability", 
      "membrane tension", 
      "flow", 
      "study deals", 
      "collocation method", 
      "destabilizing role", 
      "surface", 
      "instability", 
      "normal mode analysis", 
      "tension", 
      "wide range", 
      "incline", 
      "layer", 
      "system", 
      "engineering", 
      "membrane properties", 
      "waves", 
      "stability", 
      "properties", 
      "wall", 
      "top", 
      "parameters", 
      "growth rate", 
      "industry", 
      "membrane", 
      "range", 
      "influence", 
      "jump", 
      "method", 
      "analysis", 
      "account", 
      "results", 
      "perturbations", 
      "help", 
      "terms", 
      "increase", 
      "effect", 
      "deal", 
      "rate", 
      "number", 
      "presence", 
      "role", 
      "behavioral", 
      "Free surface gravity-driven flow", 
      "surface gravity-driven flow", 
      "floating flexible membrane"
    ], 
    "name": "Stability Analysis of a Film Flow Down an Incline in the Presence of a Floating Flexible Membrane", 
    "pagination": "253-263", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1124870009"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-981-15-1338-1_19"
        ]
      }
    ], 
    "publisher": {
      "name": "Springer Nature", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-981-15-1338-1_19", 
      "https://app.dimensions.ai/details/publication/pub.1124870009"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2022-01-01T19:15", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/chapter/chapter_263.jsonl", 
    "type": "Chapter", 
    "url": "https://doi.org/10.1007/978-981-15-1338-1_19"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-981-15-1338-1_19'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-981-15-1338-1_19'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-981-15-1338-1_19'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-981-15-1338-1_19'


 

This table displays all metadata directly associated to this object as RDF triples.

151 TRIPLES      23 PREDICATES      89 URIs      82 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-981-15-1338-1_19 schema:about anzsrc-for:09
2 anzsrc-for:0915
3 schema:author N9fe1930b066a4df7a96d74ec796852ac
4 schema:datePublished 2020-02-15
5 schema:datePublishedReg 2020-02-15
6 schema:description The present study deals with the effects of floating flexible membrane on the instability of a gravity-driven flow down an incline. Linear stability of the flow system is explored using normal-mode analysis. Free surface gravity-driven flow is unstable at much lower Reynolds numbers. Instability of such a flow can be controlled either by changing behavioral of the lower wall or by altering the surface waves at the free surface which is done here by including a floating flexible membrane at the top of the liquid layer. Influence of membrane tension is taken into account in terms of stress jump at the free surface. The Orr-Sommerfeld system of the flow is solved numerically using spectral collocation method. The results displays a destabilizing role of membrane tension for a wide range of parameters. The growth rate of the perturbation waves increases with an increase of membrane tension and the critical Reynolds number becomes smaller. Therefore, it is possible to enhance the instability of the flow system with help of membrane properties, which may be useful in Ocean engineering and coating industries.
7 schema:editor Nbae42ec0b2284322960a33334c654d81
8 schema:genre chapter
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf N7e0f988a30a149939dd0b872e92d7545
12 schema:keywords Free surface gravity-driven flow
13 Orr–Sommerfeld system
14 Reynolds number
15 account
16 analysis
17 behavioral
18 coating industry
19 collocation method
20 critical Reynolds number
21 deal
22 destabilizing role
23 effect
24 engineering
25 film flow
26 flexible membrane
27 floating flexible membrane
28 flow
29 flow system
30 free surface
31 gravity-driven flow
32 growth rate
33 help
34 incline
35 increase
36 industry
37 influence
38 instability
39 jump
40 layer
41 linear stability
42 liquid layer
43 low Reynolds number
44 lower wall
45 membrane
46 membrane properties
47 membrane tension
48 method
49 normal mode analysis
50 number
51 ocean engineering
52 parameters
53 perturbations
54 presence
55 present study deals
56 properties
57 range
58 rate
59 results
60 role
61 spectral collocation method
62 stability
63 stability analysis
64 stress jump
65 study deals
66 surface
67 surface gravity-driven flow
68 surface waves
69 system
70 tension
71 terms
72 top
73 wall
74 waves
75 wide range
76 schema:name Stability Analysis of a Film Flow Down an Incline in the Presence of a Floating Flexible Membrane
77 schema:pagination 253-263
78 schema:productId N57e4fe450b6f4ad288bec9dfaf949424
79 Nd18de895018441b68da48d5f71a31084
80 schema:publisher N606997e636b248aba91a09bf22aee8b2
81 schema:sameAs https://app.dimensions.ai/details/publication/pub.1124870009
82 https://doi.org/10.1007/978-981-15-1338-1_19
83 schema:sdDatePublished 2022-01-01T19:15
84 schema:sdLicense https://scigraph.springernature.com/explorer/license/
85 schema:sdPublisher N9132a854de8b4af6a888397fc5edd099
86 schema:url https://doi.org/10.1007/978-981-15-1338-1_19
87 sgo:license sg:explorer/license/
88 sgo:sdDataset chapters
89 rdf:type schema:Chapter
90 N0635aa7f987b4ccd81b71ce8fb922906 rdf:first N7c8397611f284fe0a5e0c5d543e02ff9
91 rdf:rest rdf:nil
92 N14513407815a4289b85afa41b665210c rdf:first Neb618a694ce94e799941578cd2c258d9
93 rdf:rest N0635aa7f987b4ccd81b71ce8fb922906
94 N539dd274879d452ebf10022c6d22a39c schema:familyName Manna
95 schema:givenName Santanu
96 rdf:type schema:Person
97 N57e4fe450b6f4ad288bec9dfaf949424 schema:name doi
98 schema:value 10.1007/978-981-15-1338-1_19
99 rdf:type schema:PropertyValue
100 N606997e636b248aba91a09bf22aee8b2 schema:name Springer Nature
101 rdf:type schema:Organisation
102 N7c8397611f284fe0a5e0c5d543e02ff9 schema:familyName Ahmad
103 schema:givenName Sk. Safique
104 rdf:type schema:Person
105 N7e0f988a30a149939dd0b872e92d7545 schema:isbn 978-981-15-1337-4
106 978-981-15-1338-1
107 schema:name Mathematical Modelling and Scientific Computing with Applications
108 rdf:type schema:Book
109 N9132a854de8b4af6a888397fc5edd099 schema:name Springer Nature - SN SciGraph project
110 rdf:type schema:Organization
111 N9fe1930b066a4df7a96d74ec796852ac rdf:first sg:person.015736124167.20
112 rdf:rest Na13e1b883d09495696216785c4c9ea3f
113 Na13e1b883d09495696216785c4c9ea3f rdf:first sg:person.0623256321.27
114 rdf:rest Nce00dc83829c49ada37a70d7118b2ff8
115 Nbae42ec0b2284322960a33334c654d81 rdf:first N539dd274879d452ebf10022c6d22a39c
116 rdf:rest N14513407815a4289b85afa41b665210c
117 Nce00dc83829c49ada37a70d7118b2ff8 rdf:first sg:person.015073505563.94
118 rdf:rest rdf:nil
119 Nd18de895018441b68da48d5f71a31084 schema:name dimensions_id
120 schema:value pub.1124870009
121 rdf:type schema:PropertyValue
122 Neb618a694ce94e799941578cd2c258d9 schema:familyName Datta
123 schema:givenName Biswa Nath
124 rdf:type schema:Person
125 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
126 schema:name Engineering
127 rdf:type schema:DefinedTerm
128 anzsrc-for:0915 schema:inDefinedTermSet anzsrc-for:
129 schema:name Interdisciplinary Engineering
130 rdf:type schema:DefinedTerm
131 sg:person.015073505563.94 schema:affiliation grid-institutes:None
132 schema:familyName Ghosh
133 schema:givenName S.
134 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015073505563.94
135 rdf:type schema:Person
136 sg:person.015736124167.20 schema:affiliation grid-institutes:grid.412742.6
137 schema:familyName Sani
138 schema:givenName M.
139 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015736124167.20
140 rdf:type schema:Person
141 sg:person.0623256321.27 schema:affiliation grid-institutes:grid.412742.6
142 schema:familyName Behera
143 schema:givenName H.
144 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0623256321.27
145 rdf:type schema:Person
146 grid-institutes:None schema:alternateName Department of Mathematics, Indian Institute of Technology, 342037, Jodhpur, India
147 schema:name Department of Mathematics, Indian Institute of Technology, 342037, Jodhpur, India
148 rdf:type schema:Organization
149 grid-institutes:grid.412742.6 schema:alternateName Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India
150 schema:name Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India
151 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...