Publisher DOI: 10.18280/ijht.360432
Title: Similarity and numerical solutions for the Lévêque problem of boundary layer heat and mass transfer in Hagen-Poiseuille flow
Language: English
Authors: Belhocine, Ali 
Abdullah, Oday Ibraheem 
Issue Date: Dec-2018
Source: International Journal of Heat and Technology 4 (36): 1404-1413 (2018)
Journal or Series Name: International journal of heat and technology 
Abstract (english): 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. After that, a comparison with previously published results on special case of the problem shows excellent agreement.
ISSN: 0392-8764
Institute: Produktentwicklung und Konstruktionstechnik M-17 
Type: (wissenschaftlicher) Artikel
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