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F. ERDOGDU, Food Engineering Dept., Mersin Univ., Ciftlikkoy-Mersin, 33342, Turkey and R. P. Singh, Dept. of Biological & Agricultural Engineering, Univ. of California, Davis, 1 Shields Ave., 2042 Bainer Hall, Davis, CA 95616-5294. Bessel functions and Legendre polynomials are important mathematical equations used in the advanced heat and mass transfer calculations in food engineering. Bessel functions have a broad application in the cylindrical coordinate problems while the Legendre polynomials are applied in the spherical coordinates. The standard mathematical tables have a limited amount of values for these equations. Therefore, it would be valuable to have a computer program to generate the values for these equations. The objective of this study was to develop a user friendly computer program to generate the required values and charts for in any specified range for Bessel functions and Legendre polynomials. The computer program was written in Visual Basic V.6.0 to generate interactive charts using the equations for Bessel functions and Legendre polynomials. A graphical interface (Pinnacle Graphic Server V.5.5) was also used in the program to give the user an easier and better interactive visual representation with a spreadsheet interface (Tidestone Formula One V. 6). This program was used to generate values for Bessel and modified Bessel functions of integer order (both positive and negative orders), Bessel functions of fractional order, spherical Bessel functions and Legendre polynomials. The results were checked with standard mathematical tables, and a perfect agreement was obtained. The program also allowed the user to view the changes in these functions in any range. On the interactive graph, all the values may also be determined with a move of mouse and seen on the screen. This program made Bessel functions and Legendre polynomial related calculations and graphical readings easier and faster, and the changes in these functions in any specified range may be easily formed with the extensive interactive graphic capabilities of the program. This program may be a useful tool in the food engineering education for the complicated calculations.
Session 111, Food Engineering: Modeling heat transfer and microbial inactivation
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