Mathematical modelling of soil temperature depend on two dimensional heat conductivity equation

Year 2015, Volume: 30 Issue: 3, 287 - 291, 08.12.2015

İmanverdi Ekberli , Coşkun Gülser

https://doi.org/10.7161/anajas.2015.30.3.287-291

Cited By: 1

Abstract

Distribution of temperature along soil surface and profile is a factor which affects on soil properties and fertility significantly. In this research, two dimensional heat conductivity equation was investigated in case of heterogeneous heat distribution regardless of heat source in media. Also, prediction of temperature change along soil profile was shown in a numerical example using the solution obtained. ty=t(x,0)=t₀+Acos(2πx/Ʌ) boundary condition was used in prediction of soil surface temperature considering soil surface temperature (ty) as a periodic function of x and assuming that surface temperature waves are not distributed equally.

Keywords

Heat flow intensity, two dimensional heat conductivity equation, heat waves, soil temperature

İki boyutlu ısı iletkenliği denklemine baglı olarak toprak sıcaklığının matematiksel modellenmesi

Abstract

Toprak yüzeyi ve profili boyunca sıcaklığın dağılımı, toprak özelliklerine ve verimliliğine önemli düzeyde etki yapan bir faktördür. Bu araştırmada, toprak yüzeyinde sıcaklığın hotorejen yayılması durumunda, ortamda ısı kaynağını göz önüne almayan iki boyutlu ısı iletkenliği denklemi incelenmiştir. Aynı zamanda, elde edilen çözümünün kullanılması ile toprak profili boyunca sıcaklık değişiminin tahmin edilmesinin mümkünlüğü sayısal örnek üzerinde gösterilmiştir. Toprak yüzey sıcaklığının (ty) x’in periyodik fonksiyonu olduğu göz önüne alınarak, denklemin çözümünde yüzey sıcaklık dalgalarının eşit yayılmadığı varsayılmış ve toprak yüzey sıcaklığının tahmininde ty=t(x,0)=t₀+Acos(2πx/Ʌ) sınır koşulu kullanılmıştır.

Keywords

Isı akımı yoğunluğu, iki boyutlu ısı iletkenliği denklemi, sıcaklık dalgaları, toprak sıcaklığı

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