Homogenized thermal conduction model for particulate foods

Efficient Implementation Algorithm for a Homogenized Energy Model with Thermal Relaxation

In this paper, we present a new algorithm to implement the homogenized energy hysteresis model with thermal relaxation for both ferroelectric and ferromagnetic materials. The approach conserves most of the accuracy of the original algorithm, but enables all erfc and exp functions to be calculated in advance, thereby requiring that only basic mathematical operations be performed in real time. Th...

Hyperbolic Homogenized Models for Thermal and Solutal Dispersion

We formulate a general theory, based on a Lyapunov–Schmidt expansion, for averaging thermal and solutal dispersion phenomena in multiphase reactors, with specific attention to the important Taylor mechanism due to transverse intraphase and interphase capacitance-weighted velocity gradients. We show that the classical Taylor dispersion phenomena are better described in terms of low dimensional m...

A Homogenized Model for Vortex Sheets

Thermal Properties of Foods

Aseptic processing of liquid/particulate foods

A generalized analytical solution to the set of coupled energy balance equations governing heat transfer in a system comprised of uniform radius spherical particles, with nonuniform initial temperature, heated in a well mixed liquid with time varying temperature, is initially derived. Based on this solution, analytical equations describing the temperature evolution for both fluid and particles,...