On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows
The study sought to investigate thermosolutal convection and stability of two dimensional disturbances imposed on a heated boundary layer flow over a semi-infinite horizontal plate composed of a chemical species using a self-consistent asymptotic method. The chemical species reacts as it diffuses in...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2008/835380 |
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| author | Stanford Shateyi Precious Sibanda Sandile S. Motsa |
| author_facet | Stanford Shateyi Precious Sibanda Sandile S. Motsa |
| author_sort | Stanford Shateyi |
| collection | DOAJ |
| description | The study sought to investigate thermosolutal convection and stability of two dimensional disturbances imposed on a heated boundary layer flow over a semi-infinite horizontal plate composed of a chemical species using a self-consistent asymptotic method. The chemical species reacts as it diffuses into the nearby fluid causing density stratification and inducing a buoyancy force. The existence of significant temperature gradients near the plate surface results in additional buoyancy and decrease in viscosity. We derive the linear neutral results by analyzing asymptotically the multideck structure of the perturbed flow in the limit of large Reynolds numbers. The study shows that for small Damkohler numbers, increasing buoyancy has a destabilizing effect on the upper branch Tollmien-Schlichting (TS) instability waves. Similarly, increasing the Damkohler numbers (which corresponds to increasing the reaction rate) has a destabilizing effect on the TS wave modes. However, for small Damkohler numbers, negative buoyancy stabilizes the boundary layer flow. |
| format | Article |
| id | doaj-art-5e015230afc4410c86ab8f1a54924c11 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5e015230afc4410c86ab8f1a54924c112025-02-03T01:00:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422008-01-01200810.1155/2008/835380835380On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer FlowsStanford Shateyi0Precious Sibanda1Sandile S. Motsa2Department of Mathematics and Applied Mathematics, University of Venda, Private Bag x5050, Thohoyandou 0950, South AfricaSchool of Mathematical Sciences, University of KwaZulu Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaMathematics Department, University of Swaziland, Private Bag 4, Kwaluseni, SwazilandThe study sought to investigate thermosolutal convection and stability of two dimensional disturbances imposed on a heated boundary layer flow over a semi-infinite horizontal plate composed of a chemical species using a self-consistent asymptotic method. The chemical species reacts as it diffuses into the nearby fluid causing density stratification and inducing a buoyancy force. The existence of significant temperature gradients near the plate surface results in additional buoyancy and decrease in viscosity. We derive the linear neutral results by analyzing asymptotically the multideck structure of the perturbed flow in the limit of large Reynolds numbers. The study shows that for small Damkohler numbers, increasing buoyancy has a destabilizing effect on the upper branch Tollmien-Schlichting (TS) instability waves. Similarly, increasing the Damkohler numbers (which corresponds to increasing the reaction rate) has a destabilizing effect on the TS wave modes. However, for small Damkohler numbers, negative buoyancy stabilizes the boundary layer flow.http://dx.doi.org/10.1155/2008/835380 |
| spellingShingle | Stanford Shateyi Precious Sibanda Sandile S. Motsa On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows Journal of Applied Mathematics |
| title | On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows |
| title_full | On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows |
| title_fullStr | On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows |
| title_full_unstemmed | On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows |
| title_short | On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows |
| title_sort | on the asymptotic approach to thermosolutal convection in heated slow reactive boundary layer flows |
| url | http://dx.doi.org/10.1155/2008/835380 |
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