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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Main Authors: Alin V. Roşca, Natalia C. Roşca, Ioan Pop
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2014
Online Access:http://journalarticle.ukm.my/7522/
http://journalarticle.ukm.my/7522/
http://journalarticle.ukm.my/7522/1/16_Alin.pdf
id ukm-7522
recordtype eprints
spelling ukm-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
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description 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.
format Article
author Alin V. Roşca,
Natalia C. Roşca,
Ioan Pop,
spellingShingle 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
author_facet Alin V. Roşca,
Natalia C. Roşca,
Ioan Pop,
author_sort 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
publisher Universiti Kebangsaan Malaysia
publishDate 2014
url http://journalarticle.ukm.my/7522/
http://journalarticle.ukm.my/7522/
http://journalarticle.ukm.my/7522/1/16_Alin.pdf
first_indexed 2023-09-18T19:49:57Z
last_indexed 2023-09-18T19:49:57Z
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