A finite difference solution of non-linear systems of radiative-conductive heat transfer equations

2002 ◽  
Vol 54 (11) ◽  
pp. 1649-1668 ◽  
Author(s):  
F. Asllanaj ◽  
A. Milandri ◽  
G. Jeandel ◽  
J. R. Roche
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Linear Systems ◽  
Conductive Heat Transfer ◽  
Conductive Heat ◽  
Transfer Equations ◽  
Non Linear ◽  
Finite Difference Solution ◽  
Non Linear Systems ◽  
Difference Solution

Finite difference solution for radiative-conductive heat transfer of a semitransparent polycarbonate layer

2009 ◽  
Vol 112 (6) ◽  
pp. 3313-3321 ◽  
Author(s):  
Babak Safavisohi ◽  
Ehsan Sharbati ◽  
Cyrus Aghanajafi ◽  
Seyed Reza Khatami Firoozabadi
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Conductive Heat Transfer ◽  
Conductive Heat ◽  
Finite Difference Solution ◽  
Difference Solution

Modelling and Simulation Heat Transfer in Wheat Stored in a Simulated Sealed Pit

2008 ◽  
Vol 4 (1) ◽  
Author(s):  
Mohamed A. Ismail ◽  
Michael P. Douglass ◽  
Brian C. Stenning
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Input Data ◽  
Storage Period ◽  
Conductive Heat Transfer ◽  
Wall Material ◽  
Conductive Heat ◽  
Moisture Contents ◽  
Grain Moisture ◽  
Grain Temperature

A mathematical model was developed to predict the change of temperature distribution with time in the radial and axial directions in a simulated sealed cylindrical pit. The finite difference method was used in the model to calculate the conductive heat transfer. The model predicts the grain temperatures in the pit during the storage period using input data of initial grain temperature, storage time and number of spatial elements in both radial and axial directions. Other input data include the finite difference spatial increment in both directions, the finite time increment, temperatures of soil surrounding the pit and the physical properties of grain, pit wall material and surrounding soil. To validate the model, predicted temperatures were compared with measured data for wheat of Apollo variety being stored in a simulated sealed pit for a period of 70 days. The wheat was stored in a cylindrical mild steel tank with 0.6 m in both diameter and height. The initial uniform grain temperature was 15°C and the initial uniform grain moisture content was 12.45% (w.b.). Both measured and predicted wheat temperatures attained steady state within a short period of storage (2 to 6 days) and this equilibrium was maintained throughout the experiment period. At the end of the storage period, the grain temperatures were decreased by an average of 2.63°C and the grain moisture contents were increased by an average of 1.62% (w.b.) at the top layer of the pit. For the bottom layer of the pit, the grain temperatures increased by an average of 7.04°C and the grain moisture contents were decreased by an average of 0.50% (w.b.) The conductive heat transfer model predicted the grain temperatures with a standard error of estimate between measured and predicted of 0.12°C -0.25°C.

Adaptive Methods for Non-Linear Empirical Similitude Method

2008 ◽  
Author(s):  
Srikanth Tadepalli ◽  
Kristin L. Wood
Keyword(s):  
Heat Transfer ◽  
Modeling And Simulation ◽  
Linear Systems ◽  
Physical Process ◽  
Traditional Approach ◽  
Adaptive Methods ◽  
Mapping Algorithms ◽  
Linear Behavior ◽  
Non Linear ◽  
Non Linear Systems

Several problems in engineering realm pose modeling and simulation difficulty due to severe non–linear behavior and debilitating singular or stiff conditions that act as additional impediments. In many such instances advanced numerical schemes are employed to either relax or simplify the PDE that defines the physical process to obtain reasonable output from the simulation. Digressing from this traditional approach, we present an experimental similitude method in this paper to analyze non–linear systems. Combined with the use of original mapping algorithms, we discuss the benefits of empirical similarity techniques and present a heat transfer example for exposition.

scholarly journals Explicit Finite Difference Solution of Heat Transfer Problems of Fish Packages in Precooling

2004 ◽  
Vol 1 (2) ◽  
pp. 115-120 ◽  
Author(s):  
A. S. Mokhtar ◽  
K. A. Abbas ◽  
M. M. H. Megat Ahmad ◽  
S. M. Sapuan ◽  
A.O. Ashraf ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Finite Difference Solution ◽  
Explicit Finite Difference ◽  
Transfer Problems ◽  
Difference Solution
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