Numerical Simulation of 1D Heat Conduction in Spherical and Cylindrical Coordinates by Fourth-Order Finite Difference Method

2017 ◽  
Vol 46 (3) ◽  
pp. 125-128
Author(s):  
Letícia Helena Paulino de Assis ◽  
◽  
Estaner Claro Romão
Keyword(s):  
Numerical Simulation ◽  
Heat Conduction ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Fourth Order ◽  
Difference Method ◽  
Cylindrical Coordinates

scholarly journals Numerical Simulation of 1D Unsteady Heat Conduction-Convection in Spherical and Cylindrical Coordinates by Fourth-Order FDM

2018 ◽  
Vol 8 (1) ◽  
pp. 2389-2392
Author(s):  
E. C. Romao ◽  
L. H. P. De Assis
Keyword(s):  
Numerical Simulation ◽  
Heat Conduction ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Fourth Order ◽  
Spherical Coordinates ◽  
Cylindrical Coordinates ◽  
One Dimensional ◽  
Unsteady Heat Conduction ◽  
The One

This paper aims to apply the Fourth Order Finite Difference Method (FDM) to solve the one-dimensional unsteady conduction-convection equation with energy generation (or sink) in cylindrical and spherical coordinates. Two applications were compared through exact solutions to demonstrate the accuracy of the proposed formulation.

Numerical Simulation by FDM of Unsteady Heat Transfer in Cylindrical Coordinates

2016 ◽  
Vol 851 ◽  
pp. 322-325
Author(s):  
Cláudia Narumi Takayama Mori ◽  
Estaner Claro Romão
Keyword(s):  
Heat Transfer ◽  
Numerical Simulation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Exact Solutions ◽  
Difference Method ◽  
Transfer Problem ◽  
Cylindrical Coordinates ◽  
Unsteady Heat Transfer ◽  
The Finite Difference Method

In this paper the heat transfer problem in transient and cylindrical coordinates will be solved by the Crank-Nicolson method in conjunction the Finite Difference Method. To validate the formulation will study the numerical efficiency by comparisons of numerical results compared with two exact solutions.

Sign in / Sign up

Export Citation Format

Share Document