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APL program for evaluation of heat processes for spherical foods
A Alvarruiz1, A Gutierrez, M Rodrigo
1Instituto de Agroquímica y Tecnología de Alimentos (CSIC), Valencia, Spain.
Computer Applications in the Biosciences : CABIOS
|December 1, 1992
Summary
A new program uses the Crank-Nicolson method to solve heat transfer in spherical foods, offering versatile and accurate thermal effect calculations. This numerical approach enhances food processing and safety by predicting temperature changes effectively.
Area of Science:
- Food Science
- Chemical Engineering
- Applied Mathematics
Background:
- Accurate prediction of heat transfer is crucial for food processing, preservation, and safety.
- Spherical food geometries present unique challenges in thermal modeling.
- Existing methods may have limitations in versatility or applicability.
Purpose of the Study:
- To develop a versatile numerical program for solving heat transfer equations in spherical foods.
- To implement the Crank-Nicolson method for enhanced accuracy and efficiency.
- To validate the program against analytical solutions and compute thermal effects.
Main Methods:
- Numerical solution of heat transfer equations using the Crank-Nicolson method.
- Implementation of a program with minimal restrictions for broad applicability.
- Validation against analytical solutions for specific boundary conditions.
Main Results:
- The program accurately solves heat transfer equations for spherical food models.
- Results show strong agreement with analytical solutions under tested boundary conditions.
- The program successfully computes the thermal effect within the foodstuff.
Conclusions:
- The developed numerical program provides a versatile and accurate tool for analyzing heat transfer in spherical foods.
- This method enhances the understanding and prediction of thermal processing outcomes.
- The program contributes to optimizing food safety and quality through precise thermal effect computation.