Vol.3, No 1, 2005 pp. 69 - 80
UDC 536.24 : 697.2
A MATHEMATICAL MODEL OF THE
TEMPERATURE
FIELD IN A FLAT PLATE AT
NON-STATIONARY HEATING IN THE FLOW-THROUGH
OVEN
Kemal Tahirbegović1, Dimitrije
Voronjec2
1Faculty of Mechanical Engineering,
University of Priština
2Faculty of Mechanical Engineering,
University of Belgrade
Abstract. The paper presents a developed two-dimensional model
for
the calculation of the temperature field in a flat plate of finite
thickness
at non-stationary heating in the flow-through oven. An exact analytical
solution could not be given for the derived differential equation of
non-stationary
heat transfer, and, therefore, an approximate numerical method of
finite
differences was applied. The differential equation of non-stationary
heat
conduction has been transformed into a difference equation, with the
two-dimensional
plate divided by a net of rectangles. The calculation was performed for
the whole set of columns, and the distribution of temperatures was
determined
and shown for the characteristic values of dimensionless parameters.
Key Words: Mathematical Model, Flat Plate, Temperature Field,
Numerical Method, Flow-Through Oven.
MATEMATIČKI MODEL TEMPERATURNOG POLJA
U RAVNOJ PLOČI
PRI NESTACIONARNOM ZAGREVANJU U PROTOČNOJ
PEĆI
U radu je razvijen dvodimenzionalni model za proračun temperaturnog
polja
u ravnoj ploči konačne debljine pri nestacionarnom zagrevanju u
protočnoj
peći. Za izvedenu diferencijalnu jednačinu nestacionarnog provođenja
toplote
nije se moglo dati tačno analitičko rešenje, pa je korišćena približna
numerička metoda konačnih razlika. Transformisana je diferencijalna
jednačina
nestacionarnog provođenja toplote u diferencnu, a dvodimenzionalna
ploča
izdeljena je mrežom pravougaonika. Proračun je izveden za ceo set
kolona,
a utvrđena je i grafički prikazana raspodela temperatura za
karakteristične
vrednosti bezdimenzionalnih kompleksa.
Ključne reči: matematički model, ravna ploča, temperaturno
polje,
numerička metoda, protočna peć
