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Exergy and Energy Analysis, Drying Kinetics and Mathematical Modeling of White Mulberry Drying Process

  • Hosain Darvishi EMAIL logo , Mohammad Zarein , Saied Minaei and Hamid Khafajeh
Published/Copyright: April 5, 2014

Abstract

The energy and exergy analysis, drying characteristics and mathematical modeling of the thin-layer drying kinetics of white mulberry using microwave drying were investigated. Results indicated that values of exergy efficiency (33.63–57.08%) were higher than energy efficiency (31.85–55.56%). Specific energy consumption increased with increasing microwave power while improvement potential decreased. The specific energy consumption and improvement potential varied from 3.97 to 6.73 MJ/kg water and 0.71 to 2.97 MJ/kg water, respectively. Also, energy efficiency decreased with decrease in moisture content and microwave power level. The best exergy and energy aspect was obtained by drying at 100 W microwave power. Drying took place mainly in warming up, constant rate and falling rate periods. The Page model showed the best fit to experimental drying data. Effective diffusivity increased with decreasing moisture content and increasing microwave power. It varied from 1.06 × 10−8 to 3.45 × 10−8 m2/s, with an energy activation of 3.986 W/g.

Nomenclature

a, b

drying coefficients

A, B,C, D

constants of regression in eq. (22)

Cp

specific heat capacity (J/kg°C)

Deff

effective diffusivity (m2/s)

D0

pre-exponential factor of Arrhenius equation (m2/s)

Ea

activation energy (W/g)

Ein

energy input (J)

Eout

energy output (J)

Eloss

specific energy loss (J/kg water)

EX

exergy (J)

Exloss

specific exergy loss (J/kg water)

Exin

specific exergy input (J/kg water)

Exout

specific exergy output (J/kg water)

IP

improvement potential

k

drying rate constant (kg water/kg dry matter)

k0

pre-exponential constant (1/min) in eq. (19)

L

half thickness of layer (m)

m

mass (kg)

m0

initial mass of sample (kg)

mew

mass of evaporated water (kg),

mp

mass of product (kg)

MR

moisture ratio (dimensionless)

MRpre,i

predicted moisture ratio

MRexp,i

experimental moisture ratio

n

constant, positive integer

N

number of observations

R2

coefficient of determination

RMSE

root mean square error

t

time (s)

T

temperature (K)

T

ambient temperature (K)

X

moisture content (kg water/kg dry matter)

Xe

equilibrium moisture content (kg water/kg dry matter)

X0

initial moisture content (kg water/kg dry matter)

Xt

moisture content at any time (kg water/kg dry matter)

Ww

weight fraction of the water in the sample

z

number of coefficients and constants

Subscripts
in

input

out

output

p

product

Greek symbols
λw

latent heat of free water (J/kg)

λwp

latent heat of product (J/kg)

ɳen

energy efficiency (%)

ɳex

exergy efficiency (%)

χ2

reduced chi-square

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Published Online: 2014-4-5
Published in Print: 2014-6-1

©2014 by Walter de Gruyter Berlin / Boston

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