Mathematical Modelling and Grand Nain

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Mathematical modelling was done to predict mass of the banana fruit var. Grand Nain from the physical characteristics like length, width, thickness, volume, geometrical mean diameter, etc. The observed physical properties of banana were statistically analysed and their mean, standard deviation, error and coefficient of variance were presented. The fitted models were divided into three classifications. Among the first classification model, empirical equation describing the length and width (model no.4) predicts the mass with highest R2 value. In the second classification, mass models of surface area (model no.8) had a linear relationship with R2 = 0.91. Highest R2 value of 0.85 and 0.83 were found for mass models with true and ellipsoidal volume (model no. 9&10) respectively in the third classification. Keywords: Banana fruit, mass models, physical properties, dimensions, geometrical attributes INTRODUCTION Physical properties of agricultural products play an important role in determining standards for designing grading, processing, conveying and packaging systems. The major physical properties of banana fruit are mass, volume, size, density, porosity, surface area etc. Among these properties, mass, projected area, volume, etc are the most important in designing grading system [16]. Surface area is important in indicating heat transfer rate, respiration rate, water loss, gas permeability per unit surface area, quantity of pesticide applied and ripeness index [4,10,26,28]. Fruits are often graded by size and it would be more economical and ease when it is graded by weight. Mass grading of fruits become more essential and it is used to attain uniform weight [19], optimum packaging configurations, reduces packaging and transportatio... ... middle of paper ... ...rnational agrophysics, 16 (4),301-306. [24] Tabatabaeefar, A., Rajabipour, A. 2005. Modeling the mass of apples by geometrical attributes. Scientia Horticulturae, 105 (3),373-382. [25] Tabatabaeefar, A., Vefagh-Nematolahee, A., Rajabipour, A. 2000. Modeling of orange mass based on dimensions. Journal of Agricultural Science and Technology, 2 (4),299-305. [26] Topuz, A., Topakci, M., Canakci, M., Akinci, I., Ozdemir, F. 2005. Physical and nutritional properties of four orange varieties. Journal of Food Engineering, 66 (4),519-523. [27] Visvanathan, R., Palanisamy, P., Gothandapani, L., Sreenarayanan, V. 1996. Physical properties of neem nut. Journal of Agricultural Engineering Research, 63 (1),19-25. [28] Wilhelm, L., Suter, D., Brusewitz, G. 2005. Physical properties of food materials. Food and Process Engineering Technology ASAE, St Joseph, Michigan, USA,23-52.

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