Analytical solution and numerical approaches of the generalized Levèque equation to predict the thermal boundary layer
In this paper, the assumptions implicit in Leveque's approximation are re-examined, and the variation of the temperature and the thickness of the boundary layer were illustrated using the developed solution. By defining a similarity variable the governing equations are reduced to a dimensionle...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universidad San Francisco de Quito USFQ
2019-05-01
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| Series: | ACI Avances en Ciencias e Ingenierías |
| Subjects: | |
| Online Access: | https://revistas.usfq.edu.ec/index.php/avances/article/view/968 |
| Summary: | In this paper, the assumptions implicit in Leveque's approximation are re-examined, and the variation of the temperature and the thickness of the boundary layer were illustrated using the developed solution. By defining a similarity variable the governing equations are reduced to a dimensionless equation with an analytic solution in the entrance region. This report gives justification for the similarity variable via scaling analysis, details the process of converting to a similarity form, and presents a similarity solution. The analytical solutions are then checked against numerical solution programming by FORTRAN code obtained via using Runge-Kutta fourth order (RK4) method. Finally, others important thermal results obtained from this analysis, such as; approximate Nusselt number in the thermal entrance region was discussed in detail.
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| ISSN: | 1390-5384 2528-7788 |