New analytical and CWENO numerical solutions for axisymmetric horizontal flows with heat sources

New Analytical and CWENO Numerical Solutions for Axisymmetric Horizontal Flows with Heat Sources

Some new nonlinear analytical solutions are found for axisymmetric horizontal flows dominated by strong heat sources. These flows are common in multiscale atmospheric and oceanic flows such as hurricane embryos and ocean gyres. The analytical solutions are illustrated with several examples. The proposed exact solutions provide analytical support for previous numerical observations and can be al...

A Numerical Modeling for Natural Convection Heat Transfer in Porous Media With Generated Internal Heat Sources

In this paper a numerical method is used to study the unsteady state natural convection heat transfer within a confined porous media with uniform internal heat generation. The governing equations based on the Darcy model and Bossiness approximations are solved, using the finite difference Alternating Direction Implicit (ADI) method. The developed program was used to simulate natural convection ...

Analytical and Numerical Solutions for Torsional Flow between Coaxial Discs with Heat Transfer

We consider non-isothermal torsional flow between two coaxial parallel plates with heat transfer at the upper rotating plate, constant temperature on the lower stationary plate, and no heat loss at the fluid-air interface. Viscous heating is modelled by a Nahme law with exponential dependence on temperature. Due to the highly nonlinear nature of the governing equations an exact solution is not ...

Axisymmetric Problem of Thick Circular Plate with Heat Sources in Modified Couple Stress Theory

The main aim is to study the two dimensional axisymmetric problem of thick circular plate in modified couple stress theory with heat and mass diffusive sources. The thermoelastic theories with mass diffusion developed by Sherief et al. [1] and kumar and Kansal [2] have been used to investigate the problem. Laplace and Hankel transforms technique is applied to obtain the solutions of the governi...

Boundary Element Analysis of Nonlinear Heat Conduction Problem with Point, Line and Distributed Heat Sources Employing Analytical integrations