Mixed convection flow of a micropolar fluid near a non-orthogonal stagnation-point on a stretching vertical sheet
Purpose - The purpose of this paper is to study theoretically the steady two-dimensional mixed convection flow of a micropolar fluid impinging obliquely on a stretching vertical sheet. The flow consists of a stagnation-point flow and a uniform shear flow parallel to the surface of the sheet. The she...
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| Format: | Article |
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Emerald Group Publishing Ltd.
2009
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| _version_ | 1796855165363421184 |
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| author | Lok, Yian Yian Pop, Ioan Ingham, D. B. Amin, N. |
| author_facet | Lok, Yian Yian Pop, Ioan Ingham, D. B. Amin, N. |
| author_sort | Lok, Yian Yian |
| collection | ePrints |
| description | Purpose - The purpose of this paper is to study theoretically the steady two-dimensional mixed convection flow of a micropolar fluid impinging obliquely on a stretching vertical sheet. The flow consists of a stagnation-point flow and a uniform shear flow parallel to the surface of the sheet. The sheet is stretching with a velocity proportional to the distance from the stagnation point while the surface temperature is assumed to vary linearly. The paper attempts also to show that a similarity solution of this problem can be obtained. Design/methodology/approach - Using a similarity transformation, the basic partial differential equations are first reduced to ordinary differential equations which are then solved numerically using the Keller box method for some values of the governing parameters. Both assisting and opposing flows are considered. The results are also obtained for both strong and weak concentration cases. Findings - These results provide information about the effect of a/c (ratio of the stagnation point velocity and the stretching velocity), (shear flow parameter) and K (material parameter) on the flow and heat transfer characteristics in mixed convection flow near a non-orthogonal stagnation-point on a vertical stretching surface. The results show that the shear stress increases as K increases, while the heat flux from the surface of the sheet decreases with an increase in K. Research limitations/implications - The results in this paper are valid only in the small region around the stagnation-point on the vertical sheet. It is found that for smaller Prandtl number, there are difficulties in the numerical computation due to the occurrence of reversed flow for opposing flow. An extension of this work could be performed for the unsteady case. Originality/value - The present results are original and new for the micropolar fluids. They are important in many practical applications in manufacturing processes in industry. |
| first_indexed | 2024-03-05T18:24:38Z |
| format | Article |
| id | utm.eprints-12957 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T18:24:38Z |
| publishDate | 2009 |
| publisher | Emerald Group Publishing Ltd. |
| record_format | dspace |
| spelling | utm.eprints-129572011-07-07T07:48:24Z http://eprints.utm.my/12957/ Mixed convection flow of a micropolar fluid near a non-orthogonal stagnation-point on a stretching vertical sheet Lok, Yian Yian Pop, Ioan Ingham, D. B. Amin, N. QA Mathematics Purpose - The purpose of this paper is to study theoretically the steady two-dimensional mixed convection flow of a micropolar fluid impinging obliquely on a stretching vertical sheet. The flow consists of a stagnation-point flow and a uniform shear flow parallel to the surface of the sheet. The sheet is stretching with a velocity proportional to the distance from the stagnation point while the surface temperature is assumed to vary linearly. The paper attempts also to show that a similarity solution of this problem can be obtained. Design/methodology/approach - Using a similarity transformation, the basic partial differential equations are first reduced to ordinary differential equations which are then solved numerically using the Keller box method for some values of the governing parameters. Both assisting and opposing flows are considered. The results are also obtained for both strong and weak concentration cases. Findings - These results provide information about the effect of a/c (ratio of the stagnation point velocity and the stretching velocity), (shear flow parameter) and K (material parameter) on the flow and heat transfer characteristics in mixed convection flow near a non-orthogonal stagnation-point on a vertical stretching surface. The results show that the shear stress increases as K increases, while the heat flux from the surface of the sheet decreases with an increase in K. Research limitations/implications - The results in this paper are valid only in the small region around the stagnation-point on the vertical sheet. It is found that for smaller Prandtl number, there are difficulties in the numerical computation due to the occurrence of reversed flow for opposing flow. An extension of this work could be performed for the unsteady case. Originality/value - The present results are original and new for the micropolar fluids. They are important in many practical applications in manufacturing processes in industry. Emerald Group Publishing Ltd. 2009 Article PeerReviewed Lok, Yian Yian and Pop, Ioan and Ingham, D. B. and Amin, N. (2009) Mixed convection flow of a micropolar fluid near a non-orthogonal stagnation-point on a stretching vertical sheet. International Journal of Numerical Methods for Heat and Fluid Flow, 19 (3-4). 459 -483. ISSN 0961-5539 http://dx.doi.org/10.1108/09615530910938380 doi:10.1108/09615530910938380 |
| spellingShingle | QA Mathematics Lok, Yian Yian Pop, Ioan Ingham, D. B. Amin, N. Mixed convection flow of a micropolar fluid near a non-orthogonal stagnation-point on a stretching vertical sheet |
| title | Mixed convection flow of a micropolar fluid near a non-orthogonal stagnation-point on a stretching vertical sheet |
| title_full | Mixed convection flow of a micropolar fluid near a non-orthogonal stagnation-point on a stretching vertical sheet |
| title_fullStr | Mixed convection flow of a micropolar fluid near a non-orthogonal stagnation-point on a stretching vertical sheet |
| title_full_unstemmed | Mixed convection flow of a micropolar fluid near a non-orthogonal stagnation-point on a stretching vertical sheet |
| title_short | Mixed convection flow of a micropolar fluid near a non-orthogonal stagnation-point on a stretching vertical sheet |
| title_sort | mixed convection flow of a micropolar fluid near a non orthogonal stagnation point on a stretching vertical sheet |
| topic | QA Mathematics |
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