In this paper, a novel approximate solution to determine the Nusselt number for thermally developed, slug (low-prandtl), laminar, single phase flow in channels of arbitrary cross section is presented. Using the Saint-Venant principle in torsion of beams, it is shown that the thermally developed Nusselt number for low-prandtl flow is only a function of the geometrical parameters of the channel c...

in this paper, a novel approximate solution to determine the nusselt number for thermally developed, slug (low-prandtl), laminar, single phase flow in channels of arbitrary cross section is presented. using the saint-venant principle in torsion of beams, it is shown that the thermally developed nusselt number for low-prandtl flow is only a function of the geometrical parameters of the channel c...

River flow routing has been a significant issue in hydraulic engineering. The main goal of this research work was solving Saint-Venant equations by using the semi-implicit finite difference scheme and considering energy conservation principle at the discontinuous points of flow field. In this model, with the first order accuracy, the flux limiter scheme and Upwind for the scheme are used for th...