University of Florida

ABE 6615
Advanced Heat and Mass Transfer in BIological Systems

Semester Taught - Spring (even years)

Catalog Description

Credits: 3

Analytical and numerical technique solutions to problems of heat and mass transfer in biological systems. Emphasis on nonhomogeneous, irregularly-shaoed products with respiration and transpiration.


CGS 3422 and AGE 3612C


William Pelletier
Room 101 Rogers Hall
Phone: 392-1864 x101

Material/Supply Fees


Class Materials Required

Reference Materials

  • Luikov, A.V. Analytical Heat Diffusion Theory. Academic Press,
    N.Y. 1968

    Segerlind, L.J. Applied Finite Element Analysis. John Wiley and
    Sons. 1976

    Various technical papers

    ANSYS Finite Elements Software Package

Course Outline

  • Review of analytical heat diffusion theory
    • Fundamental Fourrier heat conduction law
    • differential heat conduction equation
    • solutions for semi-infinite body, plate, sphere, and cylinder
  • Mass transfer
    • Fick's law
    • the Lewis relation
    • simultaneous heat and mass transfer; enthalpy potential
    • transpiration of fruits and vegetables
    • effects of: vapor pressure, deficit air movement, respiration, size, shape ,surface structure
    • mathematical modeling
    • procedures for measuring transpiration rates
  • Finite difference methods
    • simulation of transient heat flow in non-homogeneous biological materials of spherical shape (one dimensional), irregular shape (multi-dimensional) under different boundary conditions
    • effect internal heat generation due to respiration
    • effect of evaporative cooling
    • effect of condensation
  • Cooling of bulk loads of fruits and vegetables
    • methods
    • computer simulation
  • Finite element analysis
    • fundamentals of finite element method
    • analyses using ANSYS software
  • Freezing of food products
    • simplified equations
    • migration isotherm method
    • numerical simulation methods
  • Drying of agricultural products
    • thin-layer equations
    • the log model
    • computer simulation of deep-bed drying


Grading Method Percentage
Homework 30%
Midterm exam 35%
Final exam 35%

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Resources are available on-campus for students having personal problems or lacking clear career and academic goals which interfere with their academic performance. These resources include:

  1. University Counseling Center, 301 Peabody Hall, 392-1575, personal and career counseling;
  2. Student Mental Health, Student Health Care Center, 392-1171, personal counseling;
  3. Center for Sexual Assault/Abuse Recovery and Education (CARE), Student Health Care Center, 392-1161, sexual assault counseling;
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