@article{Belhocine_Wan Omar_2019, title={Analytical solution and numerical approaches of the generalized LevÃ¨que equation to predict the thermal boundary layer}, volume={11}, url={https://revistas.usfq.edu.ec/index.php/avances/article/view/968}, DOI={10.18272/aci.v11i2.968}, abstractNote={<p>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.</p>}, number={2}, journal={ACI Avances en Ciencias e Ingenierías}, author={Belhocine, Ali and Wan Omar, Wan Zaidi}, year={2019}, month={may}, pages={24–43} }