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Physical, Thermal and Water-Sorption Properties of Passion Fruit Seeds

  • Silvio J. Ferreira de Souza , Henry A. Váquiro EMAIL logo , Harvey A. Villa-Vélez , Tiago C. Polachini und Javier Telis-Romero
Veröffentlicht/Copyright: 30. Oktober 2014
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Abstract

Passion fruit seeds are an important by-product of the juice industry. In this study, physical, thermal and water-sorption properties of passion fruit (Passiflora edulis Sims f. flavicarpa Degener) seeds were determined. The knowledge of such properties is useful to design equipment or operations for storage or processing purposes. The physical properties of bulk density, particle density and bulk porosity, and the thermal properties of conductivity, diffusivity and specific heat were determined between water and mass fractions of 0.126 and 0.493. The thermal properties were determined for packed beds of seeds (effective properties), by means of which the thermal properties of the seeds (particle properties) were estimated. Different empirical models were evaluated for modeling the physical and thermal properties as function of moisture content. Physical and thermal properties were successfully described by a second-order polynomial, except by the specific heat which was described by a second-order logarithmic relationship. The isosteric heat, the differential entropy and the Gibbs free energy of water sorption were estimated using the Henderson model, which best fitted the experimental desorption isotherms at temperatures between 30°C and 70°C and relative humidities between 2% and 90%.

Acknowledgments

The authors are grateful to the São Paulo State Research Support Agency, FAPESP, for their financial support (process 2009/13033-9).

Nomenclature

A

Compound model parameter, with values between 0 and ε, representing width of the fluid layer arranged in parallel toward the heat flow (dimensionless)

a, b, c

Constants of the empirical models

aw

Water activity (dimensionless)

C0, K0

GAB model parameters (dimensionless)

cp

Specific heat of the seeds at a constant pressure (J · kg−1 · K−1)

cp,air

Specific heat of the air at a constant pressure (J · kg−1 · K−1)

cp,eff

Effective specific heat of the packed seeds at a constant pressure (J · kg–1 · K−1)

Hm, Hn

Water-sorption heats of the monolayer and multilayer, respectively (kJ · mol−1)

k

Thermal conductivity of the seeds (W · m−1 · K−1)

kair

Thermal conductivity of the air (W · m−1 · K−1)

keff

Effective thermal conductivity of the packed seeds (W · m−1 · K−1)

L

Length of the cell (m)

n, np

Number of experimental values and number of model parameters, respectively

p

Physical property (ρb, ρp or ε)

q

Heat supplied by the thermal resistance of the cell (W)

qn

Net isosteric heat of water sorption (kJ · mol−1)

Qs

Isosteric heat of water sorption (kJ · mol−1)

R

Ideal gas constant (8.314 × 10−3 kJ · mol−1 · K−1)

r1, r5

Radial positions of the thermocouple closest to the thermal resistance and the thermocouple closest to the inner surface of the cell, respectively (m)

R2

Coefficient of determination between experimental and estimated values (dimensionless)

rs

Inner radius of the cylinder (m)

T, Tabs

Temperature (°C) and absolute temperature (K), respectively

T1, T5

Steady-state temperatures at R1 and R5, respectively (°C)

Ts, Tc

Temperatures at the cylinder surface and at the cylinder center, respectively (°C)

w

Mass fraction of the seeds in the packed bed (kg · kg−1)

X

Equilibrium moisture content of the seeds (kg · kg−1, dry basis)

x

Moisture content of the seeds (kg · kg−1, wet basis)

Xm

Moisture content of the monolayer (kg · kg−1, dry basis)

y, y*

Experimental values and estimated values, respectively

α

Effective diffusivity of the seeds (m2 · s−1)

αeff

Effective diffusivity of the packed seeds (m2 · s−1)

γ1, γ2, γ3

Compound model parameters. γ1 is dimensionless, whereas γ1 and γ1 are in W · m−1 · K−1

ε

Bulk porosity of the seeds (dimensionless)

λ

Vaporization enthalpy of pure water (kJ · mol−1)

ρb

Bulk density of the seeds (kg · m−3)

ρp

Particle density of the seeds (kg · m−3)

Ω

Constant rate of temperature increase at all points of the cylinder (°C · s−1)

G

Gibbs free energy (kJ · mol−1)

S

Differential entropy (kJ · mol−1 · K−1)

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Published Online: 2014-10-30
Published in Print: 2014-12-1

©2014 by De Gruyter

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