Numerical Simulation of Heat Transfer of Turbulent Flow inside a Circular Conduit at Constant Wall Temperature Boundary Condition

A numerical study was conducted by using the finite difference technique to investigate the mechanism of the fully developed turbulent flow and heat transfer in a circular tube in company of large Reynolds number with constant heat flux and at constant wall temperature condition. The methodology of solving the thermal problem is based on the equation of energy for a fluid of constant properties while taking into consideration the hypothesis of the axisymmetric and fully developed pipe flow in steady state. The global equation and the initial and boundary conditions acting on the problem have been configured here in dimensionless form in order to predict the turbulent behavior of the fluid inside the tube. Thus, using Thomas’ algorithm, a program in FORTRAN version 95 was developed in order to numerically solve the discretized form of the system of equations describing the problem. Finally, thanks to this elaborate program, we were able to play on some parameters involved such as the Reynolds number, the number of Peclet, and the longitudinal coordinate to obtain important results of the treated thermal model which are discussed and well detailed of this work. Comparison between the literature correlation data and the calculated simulation indicates that it is a good match of the results.