Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux
The paper reconsiders the problem of the mixed convection boundary layer flow near the lower stagnation point of a horizontal circular cylinder with a second order slip velocity model and a constant surface heat flux studied recently by Roşca et al. (2013). The ordinary (similarity) differential equ...
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Universiti Kebangsaan Malaysia
2014
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my-ukm.journal.75222016-12-14T06:44:21Z http://journalarticle.ukm.my/7522/ Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux Alin V. Roşca, Natalia C. Roşca, Ioan Pop, The paper reconsiders the problem of the mixed convection boundary layer flow near the lower stagnation point of a horizontal circular cylinder with a second order slip velocity model and a constant surface heat flux studied recently by Roşca et al. (2013). The ordinary (similarity) differential equations are solved numerically using the function bvp4c from Matlab for different values of the governing parameters. It is found that the similarity equations have two branches, upper and lower branch solutions, in a certain range of the mixed convection parameters. A stability analysis has been performed to show that the upper branch solutions are stable and physically realizable, while the lower branch solutions are not stable and therefore, not physically possible. This stability analysis is different by that presented by Roşca et al. (2013), who have presented a time-dependent analysis to determine the stability of the solution branches. Universiti Kebangsaan Malaysia 2014-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7522/1/16_Alin.pdf Alin V. Roşca, and Natalia C. Roşca, and Ioan Pop, (2014) Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux. Sains Malaysiana, 43 (8). pp. 1239-1247. ISSN 0126-6039 http://www.ukm.my/jsm |
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The paper reconsiders the problem of the mixed convection boundary layer flow near the lower stagnation point of a horizontal circular cylinder with a second order slip velocity model and a constant surface heat flux studied recently by Roşca et al. (2013). The ordinary (similarity) differential equations are solved numerically using the function bvp4c from Matlab for different values of the governing parameters. It is found that the similarity equations have two branches, upper and lower branch solutions, in a certain range of the mixed convection parameters. A stability analysis has been performed to show that the upper branch solutions are stable and physically realizable, while the lower branch solutions are not stable and therefore, not physically possible. This stability analysis is different by that presented by Roşca et al. (2013), who have presented a time-dependent analysis to determine the stability of the solution branches. |
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Alin V. Roşca, Natalia C. Roşca, Ioan Pop, |
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Alin V. Roşca, Natalia C. Roşca, Ioan Pop, Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux |
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Alin V. Roşca, Natalia C. Roşca, Ioan Pop, |
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Alin V. Roşca, |
title |
Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux |
title_short |
Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux |
title_full |
Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux |
title_fullStr |
Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux |
title_full_unstemmed |
Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux |
title_sort |
note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux |
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Universiti Kebangsaan Malaysia |
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2014 |
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http://journalarticle.ukm.my/7522/1/16_Alin.pdf http://journalarticle.ukm.my/7522/ http://www.ukm.my/jsm |
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