Belhocine, AliAliBelhocineAbdullah, Oday IbraheemOday IbraheemAbdullah2019-03-132019-03-132018-12International Journal of Heat and Technology 4 (36): 1404-1413 (2018)http://hdl.handle.net/11420/2123In 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.en0392-87642018414041413Journal Article10.18280/ijht.360432Other