Heat Transfer in a Porous Radial Fin: Analysis of Numerically Obtained Solutions
Date
2017
Authors
Jooma, R.
Harley, C.
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Abstract
A time dependent nonlinear partial differential equation modelling heat transfer in a porous radial fin is considered. The Differential Transformation Method is employed in order to account for the steady state case. These solutions are then used as a means of assessing the validity of the numerical solutions obtained via the Crank-Nicolson finite difference method. In order to engage in the stability of this scheme we conduct a stability and dynamical systems analysis. These provide us with an assessment of the impact of the nonlinear sink terms on the stability of the numerical scheme employed and on the dynamics of the solutions.
Description
Keywords
DIFFERENTIAL TRANSFORMATION METHOD, NATURAL-CONVECTION, ANNULAR FINS, TEMPERATURE, MODEL, SIMULATION, PROFILE
Citation
Jooma, R and Harley, C. 2017. Heat Transfer in a Porous Radial Fin: Analysis of Numerically Obtained Solutions. ADVANCES IN MATHEMATICAL PHYSICS 2017, Article number 1658305.