Analytical solution and numerical approaches of the generalized Levèque equation to predict the thermal boundary layer

• Belhocine, Ali ^[2] ; Wan Omar, Wan Zaidi ^[1]
  1. [1] University of Technology Malaysia

     University of Technology Malaysia

     Malasia

     
  2. [2] Faculty of Mechanical Engineering, University of Sciences and the Technology of OranL.P 1505 El - MNAOUER, USTO 31000 ORAN (Algeria)
• Localización: ACI Avances en Ciencias e Ingenierías, ISSN-e 2528-7788, ISSN 1390-5384, Vol. 11, Nº. 2, 2019, págs. 24-43
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.