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|a Belhocine, Ali
|e author
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|a Wan Omar, Wan Zaidi
|e author
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|a Analytical solution and numerical approaches of the generalized Levèque equation to predict the thermal boundary layer
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|b ACI Avances en Ciencias e Ingenierías,
|c 2019.
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|z Get fulltext
|u http://eprints.utm.my/id/eprint/88129/1/WanZaidiWanOmar2019_AnalyticalSolutionandNumericalApproaches.pdf
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|a 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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|a en
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|a TJ Mechanical engineering and machinery
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