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Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method
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| Zeitschriftentitel: | The Open Chemical Engineering Journal |
|---|---|
| Personen und Körperschaften: | , , |
| In: | The Open Chemical Engineering Journal, 2, 2008, 1, S. 89-96 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Bentham Science Publishers Ltd.
|
| Schlagwörter: |
| author_facet |
Escobar, C. Méndez, F. Luna, E. Escobar, C. Méndez, F. Luna, E. |
|---|---|
| author |
Escobar, C. Méndez, F. Luna, E. |
| spellingShingle |
Escobar, C. Méndez, F. Luna, E. The Open Chemical Engineering Journal Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method General Chemical Engineering |
| author_sort |
escobar, c. |
| spelling |
Escobar, C. Méndez, F. Luna, E. 1874-1231 Bentham Science Publishers Ltd. General Chemical Engineering http://dx.doi.org/10.2174/1874123100802010089 <jats:p>In the present work an analytical and numerical study is presented in order to determine the residual fluid film thickness of a power-law fluid on the walls of a rectangular horizontal channel when it is displaced by another immiscible fluid of negligible viscosity. The mathematical model describes the motion of the displaced fluid and the interface between both fluids. In order to obtain the residual film thickness, <jats:italic>m</jats:italic> , we used a singular perturbation technique: the matching asymptotic method; in the limit of small capillary number, <jats:italic>Ca</jats:italic> . The main results indicated that the residual film thickness of the non-Newtonian fluid decreases for decreasing values of the power-law index, which is in qualitative agreement with experimental results.</jats:p> Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method The Open Chemical Engineering Journal |
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| title |
Determination of the Thickness of a Power-Law Fluid Driven by the Penetration
of a Long Gas Bubble in a Rectangular Channel Using a Singular
Perturbation Method |
| title_unstemmed |
Determination of the Thickness of a Power-Law Fluid Driven by the Penetration
of a Long Gas Bubble in a Rectangular Channel Using a Singular
Perturbation Method |
| title_full |
Determination of the Thickness of a Power-Law Fluid Driven by the Penetration
of a Long Gas Bubble in a Rectangular Channel Using a Singular
Perturbation Method |
| title_fullStr |
Determination of the Thickness of a Power-Law Fluid Driven by the Penetration
of a Long Gas Bubble in a Rectangular Channel Using a Singular
Perturbation Method |
| title_full_unstemmed |
Determination of the Thickness of a Power-Law Fluid Driven by the Penetration
of a Long Gas Bubble in a Rectangular Channel Using a Singular
Perturbation Method |
| title_short |
Determination of the Thickness of a Power-Law Fluid Driven by the Penetration
of a Long Gas Bubble in a Rectangular Channel Using a Singular
Perturbation Method |
| title_sort |
determination of the thickness of a power-law fluid driven by the penetration
of a long gas bubble in a rectangular channel using a singular
perturbation method |
| topic |
General Chemical Engineering |
| url |
http://dx.doi.org/10.2174/1874123100802010089 |
| publishDate |
2008 |
| physical |
89-96 |
| description |
<jats:p>In the present work an analytical and numerical study is presented in order to determine the residual fluid film
thickness of a power-law fluid on the walls of a rectangular horizontal channel when it is displaced by another immiscible
fluid of negligible viscosity. The mathematical model describes the motion of the displaced fluid and the interface between
both fluids. In order to obtain the residual film thickness, <jats:italic>m</jats:italic> , we used a singular perturbation technique: the matching
asymptotic method; in the limit of small capillary number, <jats:italic>Ca</jats:italic> . The main results indicated that the residual film
thickness of the non-Newtonian fluid decreases for decreasing values of the power-law index, which is in qualitative
agreement with experimental results.</jats:p> |
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| author | Escobar, C., Méndez, F., Luna, E. |
| author_facet | Escobar, C., Méndez, F., Luna, E., Escobar, C., Méndez, F., Luna, E. |
| author_sort | escobar, c. |
| container_issue | 1 |
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| container_title | The Open Chemical Engineering Journal |
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| description | <jats:p>In the present work an analytical and numerical study is presented in order to determine the residual fluid film thickness of a power-law fluid on the walls of a rectangular horizontal channel when it is displaced by another immiscible fluid of negligible viscosity. The mathematical model describes the motion of the displaced fluid and the interface between both fluids. In order to obtain the residual film thickness, <jats:italic>m</jats:italic> , we used a singular perturbation technique: the matching asymptotic method; in the limit of small capillary number, <jats:italic>Ca</jats:italic> . The main results indicated that the residual film thickness of the non-Newtonian fluid decreases for decreasing values of the power-law index, which is in qualitative agreement with experimental results.</jats:p> |
| doi_str_mv | 10.2174/1874123100802010089 |
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| format_dezwi2 | Article, E-Article |
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| imprint | Bentham Science Publishers Ltd., 2008 |
| imprint_str_mv | Bentham Science Publishers Ltd., 2008 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Zi4, DE-Gla1, DE-15, DE-Pl11, DE-Rs1, DE-14, DE-105, DE-Ch1, DE-L229 |
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| issn_str_mv | 1874-1231 |
| language | English |
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| match_str | escobar2008determinationofthethicknessofapowerlawfluiddrivenbythepenetrationofalonggasbubbleinarectangularchannelusingasingularperturbationmethod |
| mega_collection | Bentham Science Publishers Ltd. (CrossRef) |
| physical | 89-96 |
| publishDate | 2008 |
| publishDateSort | 2008 |
| publisher | Bentham Science Publishers Ltd. |
| record_format | ai |
| recordtype | ai |
| series | The Open Chemical Engineering Journal |
| source_id | 49 |
| spelling | Escobar, C. Méndez, F. Luna, E. 1874-1231 Bentham Science Publishers Ltd. General Chemical Engineering http://dx.doi.org/10.2174/1874123100802010089 <jats:p>In the present work an analytical and numerical study is presented in order to determine the residual fluid film thickness of a power-law fluid on the walls of a rectangular horizontal channel when it is displaced by another immiscible fluid of negligible viscosity. The mathematical model describes the motion of the displaced fluid and the interface between both fluids. In order to obtain the residual film thickness, <jats:italic>m</jats:italic> , we used a singular perturbation technique: the matching asymptotic method; in the limit of small capillary number, <jats:italic>Ca</jats:italic> . The main results indicated that the residual film thickness of the non-Newtonian fluid decreases for decreasing values of the power-law index, which is in qualitative agreement with experimental results.</jats:p> Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method The Open Chemical Engineering Journal |
| spellingShingle | Escobar, C., Méndez, F., Luna, E., The Open Chemical Engineering Journal, Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method, General Chemical Engineering |
| title | Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method |
| title_full | Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method |
| title_fullStr | Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method |
| title_full_unstemmed | Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method |
| title_short | Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method |
| title_sort | determination of the thickness of a power-law fluid driven by the penetration of a long gas bubble in a rectangular channel using a singular perturbation method |
| title_unstemmed | Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method |
| topic | General Chemical Engineering |
| url | http://dx.doi.org/10.2174/1874123100802010089 |