Abstract

This chapter attempts to predict temperature in a liquid food heated in a steam-jacketed kettle using a mathematical model that predicts temperature in the kettle as a function of time and measures the transient heat transfer in spherical-shaped foods. It also discusses how to calculate temperature inside an infinite cylinder and an infinite slab during heating or cooling processes, using analytical solutions of the governing partial differential equation and that of the governing heat transfer equation written for an infinite slab-shaped object, respectively. Heat transfer in an infinite slab occurs from only two opposing surfaces; the heat transfer from the other four sides of the slab is considered negligible. Prediction of transient heat transfer in a finite cylinder, on the other hand, requires the use of analytical solutions obtained for both infinite cylinders and infinite slabs. The temperature ratios determined for both the infinite shapes are multiplied to calculate the temperature ratio for a finite cylinder. Prediction of temperature of a desired location inside a cube requires an infinite slab solution.

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