A novel approach in integral solution of laminar natural convection induced by a line heat source

In this study the natural convection induced by a line heat source is investigated. Boundary layer and energy equations are solved analytically using integral method. Since the number of equations is less than the number of unknown variables; a new additional equation is applied. This equation is obtained by applying momentum equation on the center line of the plume. Some different velocity and temperature profiles are used. Results show that The Gaussian profile in comparison with other studied profiles has a better agreement with the results of similarity approach.

Keywords:

integral method , natural convection , heat transfer , plume , laminar