Zogzas while some (1994) envision you to obvious density relies on the volume shrinking coefficient and you may dampness stuff (Dining table step three, Eq

Zogzas while some (1994) envision you to obvious density relies on the volume shrinking coefficient and you may dampness stuff (Dining table step three, Eq

Noticeable thickness (?b) models

Centered on Krokida and Philippopoulos (2005) , obvious occurrence is actually a purpose of moisture articles, style of solid, and heavens regularity proportion. Almost all of the designs having anticipating apparent thickness found in new literature is actually empirical; practical or theoretic activities simply have been suggested of the a limited quantity of experts ( Rahman while others 1996 ). The fresh apparent density habits was basically designed centered on water posts (X), without because of the aftereffects of drying temperatures; not too many consider diminishing, although it was extreme about majority of instances ( Moreira and others 2000 ; ).

18), where the volumetric shrinking coefficient (?) is a linear function of moisture content. Boukouvalas and others (2006) mention that the parameters ( , ?) included in Eq. 18 of Table 3 depend on the drying method and processing conditions; as such, they propose Eq. 19, which considers ? to be a function of , ?w, and X.

Moreira and others (2000) keep one to obvious density is available with the obvious density of your strong ( ) additionally the size out of liquids ( ) at the beginning of drying out while the a reference to have initial volume (Eq. 20, Desk step sito video incontro video 3).

In Eq. 18 and 19, X= 0 is taken as a reference; in Eq. 20, the reference is X0= moisture content at the onset of drying.

The most recent theoretical model (Eq. 21) was put forth by Khalloufi and others (2010) . They consider ?b to be a function of the initial porosity of the material (?), X, ?w, ?s, ?(X), and collapse [?(X)].

As the ?(X) and you will ?(X) will be the services out of dampness articles, he’s influenced by running criteria, the kind of one’s equipment getting dried, the fresh new drying out strategy, and also the drying out phase ( Khalloufi and others 2010 ).

The failure equation (Eq. 27) suggested by Khalloufi while others (2009) pledges the failure form always begins in one single and you can ends up during the zero.

In the event that material is actually a rubbery state, diminishing makes up almost totally to have dampness loss, and also the volume of the materials decrease linearly with moisture content ( ). not, low-temperatures dehydration regarding food items suppresses brand new moisture content in the cardio of procedure of ever being far more than regarding the outside, minimizing interior worry, and therefore, cracking ( Bai while others 2002 ).

An incorrect computation away from ?(X) and you may ?(X) gives rise to help you a mistake throughout the computation of apparent density. This occurs quite frequently, as the majority of article authors assume that shrinking are linear ( Zogzas although some 1994 ; Moreira while others 2000 ; ), or they can fit they so you can a moment-degree polynomial ( Khalloufi while some 2010 ).

Future designs is always to make an effort to depict the newest conclusion off noticeable density with higher reliability, taking into account X together with thermal reputation for the material becoming dried.


The tendencies of density with respect to moisture content and drying temperature have been discussed within the framework of currently available theories of second-order phase changes, structural changes, and changes in chemical composition occurring in the mass and heat transference processes. The majority of the empirical and theoretical equations representing true density do not fit the concave-down tendencies of certain materials. Equations for calculating apparent density based on shrinking and collapse are not reliable, as errors arise from failing to consider minimal variations in volume at the end of the drying process. It is recommended that variations in ?s and ?w as a function of the internal temperature of the material, according to the drying conditions (X, T), be included to yield a better fit to the tendencies of density with respect to X.

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