MATHEMATICAL MODELLING OF SELECTED ENGINEERING PROPERTIES OF POMEGRANATE FRUITS (PUNICA GRANATUM L) CV. GANESH

K. SURESHKUMAR¹*, T. PANDIARAJAN², I.P. SUDAGAR³, M.R. DURAISAMY^4
1Department of Processing and Food Engineering, Agricultural Engineering College & Research Institute, Tamil Nadu Agricultural University, Coimbatore, 641 003, Tamil Nadu, India
²Department of Processing and Food Engineering, Agricultural Engineering College & Research Institute, Kumulur, Tiruchirappalli, 621712, Tamil Nadu Agricultural University, Coimbatore, 641 003, Tamil Nadu, India
³Department of Processing and Food Engineering, Agricultural Engineering College & Research Institute, Tamil Nadu Agricultural University, Coimbatore, 641 003, Tamil Nadu, India
⁴Department of Physical Sciences & Information Technology, Agricultural Engineering College & Research Institute, Tamil Nadu Agricultural University, Coimbatore, 641 003, Tamil Nadu, India
* Corresponding Author : suresharavind1406@gmail.com

Received : 28-03-2019     Accepted : 12-04-2019     Published : 15-04-2019
Volume : 11     Issue : 7       Pages : 8173 - 8178
Int J Agr Sci 11.7 (2019):8173-8178

Keywords : Pomegranate fruits, Properties, Mathematical mass model, Frequency distribution, Regression coefficient
Conflict of Interest : None declared
Acknowledgements/Funding : Authors are thankful to Agricultural Engineering College & Research Institute, Tamil Nadu Agricultural University, Coimbatore, 641 003, Tamil Nadu, India
Author Contribution : All authors equally contributed

The mathematical modelling is used to predict some of the models along with their engineering properties of pomegranate fruits. The effects of engineering properties, which are important for designing of post-harvest handling and processing machineries. The moisture content of the pomegranate cv. Ganesh at wet basis was found to be arils (83%), peels (76%), and whole fruit (80%). With respected moisture content dimensional properties was like major (length), intermediate (width), minor (Thickness) diameter, geometric and arithmetic mean diameter, sphericity, Surface and projected area, weight, volume (oblate and ellipsoid shape), flakiness and elongation ratio of pomegranate cv. Ganesh were found to be 79.56 mm, 76.08 mm, 76.18 mm, 77.22 mm, 77.27 mm, 0.97, 188.67 cm2 and 60.90 cm2, 253.65 g, 246.69 cm3 and 469.86 cm3, 1.00 and 1.05 respectively. The gravimetric properties of pomegranate like Bulk density, true density, porosity and angle of repose was observed the average values of 554 kg/m3, 1030 kg/m3, 46.77%, 49° respectively. The frictional properties like coefficient of friction, rolling angle and rolling resistance were the mean values for different surfaces like mild steel, stainless steel, aluminium, galvanised, rubber and card board was investigated. The mechanical property like firmness of the fruit was found to be 16.4 kg/cm2. The frequency distribution of the major, geometric mean diameter and the fruit mass/weight followed by normal distribution of Gaussian model. The maximum number of fruits were frequency distributed with the major (75-85 mm), intermediate (72.5-82.5 mm), and weight of the fruits (200-300 grams). The different mathematical models like linear, logarithmic, exponential, polynomial and power models used with some engineering properties and their result showed the best suitable mass models, which can predict the mass of pomegranate based on the estimated surface area of the pomegranate cv. Ganesh. The higher regression coefficient of best model R2=0.93 and the corresponding equation M= 71.667e0.0065Sa.

1. www.nhb.com
2. Venkatesha H., Y.S.N. (2016) International Journal of Multidisciplinary Research and Development, 3(1), 356-359.
3. Prasad R. N., Chandra R., & Teixeira da Silva J. (2010) Fruit Veg. Cereal Sci. Biotechnol, 4, 88-95.
4. Moustafa S. M. (1971) Transactions of the ASAE, 14(3), 549-0553.
5. Khojastehpour M. (1996) Design and construction of poptato sorting machine according to Iran condition, M. Sc. Thesis faculty of Bio-system Engineering. University of Tehran.
6. Sologubik C., Campañone L. A., Pagano A. M., & Gely M. (2013) Industrial Crops and Products, 43, 762-767.
7. Sirisomboon P., Kitchaiya P., Pholpho T., & Mahuttanyavanitch W. (2007) Biosystems engineering, 97(2), 201-207.
8. Monicka A.A., Pandiarajan T., Ganapathy S., Rani C. I., Sathy R. (2017) Journal of Agricultural Engineering, 54(4), 36-42.
9. Celik A. & Ercisli S. (2009) Int. Agrophysics, 23(3), 295-298.
10. Nivrutti G.N. (2010) Ph.D thesis (Agricultural Processing and Structures) submitted to the Post-Graduate School, Indian Agricultural Research Institute, New Delhi.
11. Wetzstein H.Y., Zhang Z., Ravid N. & Wetzstein M.E. (2011) HortScience, 46(6), 908-912.
12. Ali S., Mandhar, Ganachari A., Ambrish, Nidoni U., Udaykumar & Ananthacharya. (2010) International Journal of Engineering Science and Technology, Vol. 2 (12),7555-7561.
13. Hazbavi I. (2013) Agricultural Engineering International: CIGR Journal, 15(4), 288-292.
14. Ekrami-Rad N., Khazaei J. & Khoshtaghaza M.H. (2011) International journal of food properties, 14(3), 570-582.
15. Mansouri Y., Khazaei J., Hassan Beygi S. & Mohtasebi S. (2010) Journal of Food Processing Technology, 1, 1-4.
16. Suthar S.H., Das S.K. (1996) Journal of Agricultural Engineering Research, 65(1), 15-22.
17. Mansouri A., Hossein A. & Ra A. (2015) Journal of the Saudi Society of Agricultural Sciences, doi: 10.1016/j.jssas.2015.07.001.
18. Sahay K.M. & Singh K.K. (2001) Unit Operations of Agricultural Processing, 2/e, ISBN: 9788125911425, Vikas Publishing House Pvt. Ltd., India
19. Kleinhans M., Markies H., De Vet S. & Postema F. (2011) Journal of Geophysical Research: Planets, 116(E11).
20. Mohsenin N.N. (1980) New York: Gorden and Breach Science Publishers.
21. Omobuwajo T., Sanni, L., & Olajide, J. (2000) Journal of Food Engineering, 45(1), 43-48.
22. Fawole O. A., & Opara U. L. (2013) Scientia Horticulturae, 150, 37-46.
23. Radunić M., Špika M. J., Ban S. G., Gadže J., Díaz-Pérez J. C. & MacLean D. (2015) Food chemistry, 177, 53-60.
24. Sharifi M., Rafiee S., Keyhani A., Jafari A., Mobli H., Rajabipour A., & Akram A. (2007) International Agrophysics, 21(4), 391.

25. Omobuwajo, T., Ikegwuoha, H. Koya O., & Ige M. (1999) Journal of Food Engineering, 42(3), 173-176.
26. Ismail O.M., Younis R.A. & Ibrahim A. (2014) African Journal of Biotechnology, 13(2).
27. Lorestani A. N. & Tabatabaeefar A. (2006) International Agrophysics, 20(2), 135.
28. Suganya P. and Kailappan R. (2013) International journal of recent Scientific Research, 4(11), 1835-1838.