Havucun Boy ve Çap Verileri Kullanılarak Hacminin Hesaplanması için Matematiksel Model Geliştirilmesi

Abstract

Havuç, dünyada patatesten sonra en çok üretimi yapılan sebzedir. Türkiye’de havucun en çok yetiştirildiği bölge Konya iline bağlı Kaşınhanı’dır. Bu nedenle çalışmada uygulama amacı ile Kaşınhanı’nda üretilen havuçlar seçilmiştir. Toplam 464 adet Nantes türü havuç kullanılmıştır. Havuçların boyu, 5 santimetre ara ile çapları ve hacimleri ölçülmüştür. Daha sonra sunulan yöntem ile havuçların hacimleri hesaplanmış ve gerçek hacimlerle karşılaştırılmıştır. Tüm havuçlar için hesaplanan hacim ile ölçülen hacim arasındaki R² değeri 0,9 olarak bulunmuştur. Ölçülen ve hesaplanan değerler arasında korelasyon doğrusunun eğimi 1,06 olmuştur ki, bu da ideal değere çok yakındır.

Keywords

• Havuç,Fiziksel Özellikler,En Küçük Kareler Yöntemi,Matematiksel Model

Developing of the Mathematical Model to Calculate the Carrot Volume Using the Length and Diameter Data

Abstract

Carrot is the second most produced vegetable in the world after the potato. Most carrots grown in Turkey are grown in the Kaşınhanı of Konya province. For this reason, in this study, carrots produced in Kaşınhanı were chosen for the application purpose. A total of 464 Nantes carrots were used. The length, volume and diameters by 5 cm intervals of the carrots were measured. Then the volume of the carrots was calculated by the presented method and compared with the actual volumes. The R² value between the calculated volume and the measured volume for all carrots was found as 0.9. The correlation line between the measured and calculated values has a slope as 1.06 which is very close to the ideal value.

Keywords

• Physical Properties,Least Squares Method,Carrot,Mathematical Model

References

1. Lin W.G, Xu B., Wei B., Zeng R., 2018. Low frequency ultrasound pretreatment of carrot slices: Effect on the moisture migration and quality attributes by intermediate-wave infrared radiation drying, https://doi.org/10.1016/j.ultsonch.2017.08.005, Ultrasonics - Sonochemistry 40:619–628
2. Chen Z.G., Guo X.Y., Wu T., 2016. “A novel dehydration technique for carrot slices implementing ultrasound and vacuum drying methods Ultrason. Sonochem., 3:28-34
3. Frias, J., Elena Peñas, Mónica Ullate, Vidal-Valverde, C., 2010. “Influence of drying by convective air dryer or power ultrasound on the vitamin C and beta-carotene content of carrots”, J. Agric. Food Chem., Volume 58:10539-10544
4. Gornicki K., Kaleta A., 2007. “Drying curve modelling of blanched carrot cubes under natural convection condition”, Journal Food Engeneer, Volume 82:160-170
5. Bao B., Chang, K.C., 1995. “Carrot juice color, carotenoids, and nonstarchy polysaccharides as affected by processing conditions” Journal of Food Science, Volume 59:1155-1158
6. Bureau J.L., Bushway R.J., 1986. “HPLC determination of carotenoids in fruits and vegetables in the United States”, Journal of Food Science Volume 51(1):128-130
7. Nowacka M., M. Wedzik, 2016. “Effect of ultrasound treatment on microstructure, colour and carotenoid content in fresh and dried carrot tissue”, Applied Acoustics Volume:103:163–171
8. Örnek M.N., 2014. Havuç Sınıflandırmada Gerçek Zamanlı Görüntü İşleme Makinası Tasarımı ve Bazı Mekanik Sınıflandırma Makinaları ile boylama etkinliklerinin karşılaştırılması, Doktora Tezi, Selçuk Üniversitesi Fen Bilimleri Enstitüsü, Tarım Makinaları Anabilim Dalı, Konya

9. Aydin C., 2002. Physical Properties of Hazel Nuts, Biosystems Engineering Volume 82(3):297-303
10. Özgüven F., Vursavuş K., 2005. Some physical, mechanical and aerodynamic properties of pine (Pinus pinea) nuts, Journal of Food Engineering Volume 68:191–196
11. Vursavuş, K., Kelebek, H., Selli, S., 2006. ”A study on some chemical and physico-mechanic properties of three sweet cherry varieties (Prunus avium L.) in Turkey”, Journal of Food Engineering, Volume 74(4):568-575, https://doi.org/10.1016/j.jfoodeng.2005.03.059
12. Bustos-Vanegas J.D., Corrêa P.C., Martins M.A., Baptestini F.M., Campos R.C., Oliveira G.H.H., Nunes E.H.M., 2017. Developing predictive models for determining physical properties of coffee beans during the roasting process, Industrial Crops and Products, Industrial Crops and Products, doi: https://doi.org/10.1016/j.indcrop.2017.12.015
13. Munder S., Argyropoulos D., Muller J., 2017. Class-based physical properties of air-classified sunflower seeds and kernels, Biosystems Engineering, Volume 164:124-134.
14. Al-Garni, A. Z., Ahmed, Z., Al-Nassar, Y. N., Zubair, S. M., and AL-Shehri, A., 1997. Model for electric energy consumption in Eastern Saudi Arabia. Energy Sources, Volume 19:325-334.
15. Alfares, H.K., Nazeeruddin, M., 1999. Regression-based methodology for daily peak load forecasting. Proceedings of the 2nd International Conference on Operations and Quantitative Management, Ahmedabad, India, 468-471.
16. Reeder S.B., Wen Z., Yu H., Pineda A.R., Gold G.E., Markl M., Pelc N. J., 2004. Multicoil Dixon chemical species separation with an iterative least-squares estimation method, Magnetic Resonance in Medicine, Volume 51(1):35–45.
17. Beauducel A., Herzberg P.Y., 2006. On the Performance of Maximum Likelihood Versus Means and Variance Adjusted Weighted Least Squares Estimation in CFA, Structural Equation Modeling, 13(2):186–203.