Faz değişimine bağlı olarak ısı iletkenliği denkleminin incelenmesi ve toprak neminin ısısal yayınıma etkisi
Isı iletkenlik denkleminin farklı toprak katmanlarına uygulanmasında, toprak sıcaklığındaki faz değişiminin dikkate alınması gerekir. Bu çalışmada, farklı toprak katmanları için ısı iletkenlik denkleminin çözümünde faz değişimi dikkate alınarak, çözümün günlük toprak sıcaklık değişiminin tahmininde uygulanabilirliği gösterilmiştir. Toprağın 10, 20 ve 50 cm derinliklerinde, ısı iletkenlik denkleminin çözümü ile hesaplanan ve ölçülen sıcaklık değerleri arasındaki hata kareler ortalamasının karekökü, mutlak hata, maksimum nispi hata, ortalama yanılgı hatası, uygunluk indeksi ve modelin etkinliği hesaplanmıştır. İstatistiksel değerlendirmeler, ısı iletkenlik denkleminin faz değişimini içeren sınır koşulundaki çözümünün, toprak derinliği boyunca günlük sıcaklık değişiminin tahmininde kullanılabilirliğini göstermektedir. Toprağın ısısal yayınım katsayısı artan toprak nemine bağlı olarak azalan artış göstermekte, ısısal yayınım ve nem arasındaki ilişkinin ise parabolik fonksiyonla ifadesi mümkün gözükmektedir.
Investigating of heat conductivity equation with consideration of phase change and effect of soil moisture on heat diffusivity
Phase change in soil temperature should be taken into account in application of heat conductivity equation to different soil layers. In this study, applicability of the solution in daily soil temperature change was provided with consideration of phase change in the heat conductivity equation. Root mean square error, absolute error, maximum relative error, mean bias error, and conformity index between measured and estimated temperature values of the solution of heat conductivity equation, and efficiency of the model were calculated at 10, 20 and 50 cm depths of soil. Results of statistical evaluations showed that solution of heat conductivity equation within the given boundary condition, including phase change, can be used for the prediction of daily temperature change along with soil depth. Soil heat diffusivity showed declining increase with increasing in soil moisture content, and the relationship between heat diffusivity and moisture can be expressed by the parabolic function.
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