COBEM99

SR27 Transferência de Calor e Massa

Title:

ANALYTICAL SOLUTION OF THE MASS DIFFUSION EQUATION APPLIED TO ELLIPSOIDS OF REVOLUTION

Summary :

THE MATHEMATICAL SOLUTION OF THE TRANSIENT DIFFUSION EQUATION IS VERY IMPORTANT, ESPECIALLY ON DRYING OPERATIONS, WHERE IT IS NECESSARY TO KNOW THE MOISTURE CONTENT DISTRIBUTION, AND ALSO THE AVERAGE MOISTURE CONTENT OF BIOLOGICAL PRODUCTS IN FUNCTION OF POSITION AND TIME. THE DERIVATION OF AN ANALYTICAL SOLUTION OF THE MASS DIFFUSION EQUATION IN PROLATE SPHEROIDAL COORDINATES, ASSUMING CONSTANT DIFFUSION COEFFICIENT FOR PRODUCTS WITH ELLIPTICAL GEOMETRY, IS PRESENTED. THE MOISTURE CONTENT DISTRIBUTION AND ALSO THE AVERAGE MOISTURE CONTENT DURING THE PROCESS ARE SHOWN. THIS SOLUTION CAN BE USED TO PREDICT THE BEHAVIOR OF THE DRYING PROCESS DURING THE DRYING OF A GIVEN TYPE OF PRODUCT, VARYING THE CHARACTERISTIC PARAMETERS, AND ALSO TO VALIDATE NUMERICAL RESOLUTION OF THE SAME DIFFERENTIAL EQUATION IN ELLIPTICAL GEOMETRY.

Author :

Lima, Antonio Gilson B.
Nebra, Silvia Azucena
Sakanaka, Paulo H.

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