TY - JOUR
AU - Belhocine, Ali
AU - Wan Omar, Wan Zaidi
PY - 2019/05/12
Y2 - 2023/12/03
TI - Analytical solution and numerical approaches of the generalized LevÃ¨que equation to predict the thermal boundary layer
JF - ACI Avances en Ciencias e Ingenierías
JA - ACI Av. Cienc. Ing. (Quito)
VL - 11
IS - 2
SE - SECCIÓN A: CIENCIAS EXACTAS Y FÍSICAS
DO - 10.18272/aci.v11i2.968
UR - https://revistas.usfq.edu.ec/index.php/avances/article/view/968
SP - 24-43
AB - <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>
ER -