TY - JOUR

T1 - Unsaturated fluid transport in swelling poroviscoelastic biopolymers

AU - Takhar, Pawan S.

N1 - Funding Information:
This work was supported in part by the National Science Foundation award # 0756762 and USDA-NIFA award # 2009-35503-05279 . Thanks to Jaspreet Sandhu and Harkirat Bansal for providing help with the experimental work on frying.

PY - 2014/4/19

Y1 - 2014/4/19

N2 - The hybrid mixture theory was used to obtain the two-scale unsaturated transport and thermomechanical equations for biopolymers. The two-scale laws of conservation of mass, momentum, energy and entropy were utilized, the constitutive theory was formulated and the entropy inequality was exploited to obtain various equilibrium, near-equilibrium and non-equilibrium relations. The system was treated as poroviscoelastic with the viscoelastic biopolymers interacting with the viscous water and oil phases at pore-scale via hydrophilic and hydrophobic forces. The gas phase exchanged mass with the liquid water due to evaporation/condensation away from equilibrium. The exploitation of entropy inequality resulted in temporally non-local generalized Darcy[U+05F3]s laws for the liquid phases, near-equilibrium swelling and capillary pressure relations, generalized stress relations, near-equilibrium Gibbs free energy relation and the rate of evaporation relation. The generalized Darcy[U+05F3]s law relations include novel integral terms with long-memory effects. These can describe the effect of biopolymer-fluid interaction on both Darcian and non-Darcian modes of fluid transport depending upon the state of the biopolymers (glassy, rubbery or glass-transition). The resulting transport laws for various phases include the cross-effect terms in the form of volume fraction gradients. The unsaturated generalized Darcy[U+05F3]s law relations were validated by making comparison to the experimental data on moisture transport, heat penetration and pressure development during frying of potato cylinders.

AB - The hybrid mixture theory was used to obtain the two-scale unsaturated transport and thermomechanical equations for biopolymers. The two-scale laws of conservation of mass, momentum, energy and entropy were utilized, the constitutive theory was formulated and the entropy inequality was exploited to obtain various equilibrium, near-equilibrium and non-equilibrium relations. The system was treated as poroviscoelastic with the viscoelastic biopolymers interacting with the viscous water and oil phases at pore-scale via hydrophilic and hydrophobic forces. The gas phase exchanged mass with the liquid water due to evaporation/condensation away from equilibrium. The exploitation of entropy inequality resulted in temporally non-local generalized Darcy[U+05F3]s laws for the liquid phases, near-equilibrium swelling and capillary pressure relations, generalized stress relations, near-equilibrium Gibbs free energy relation and the rate of evaporation relation. The generalized Darcy[U+05F3]s law relations include novel integral terms with long-memory effects. These can describe the effect of biopolymer-fluid interaction on both Darcian and non-Darcian modes of fluid transport depending upon the state of the biopolymers (glassy, rubbery or glass-transition). The resulting transport laws for various phases include the cross-effect terms in the form of volume fraction gradients. The unsaturated generalized Darcy[U+05F3]s law relations were validated by making comparison to the experimental data on moisture transport, heat penetration and pressure development during frying of potato cylinders.

KW - Hybrid mixture theory

KW - Multiphase flow

KW - Non-Darcian flow

KW - Poroviscoelastic

KW - Temporally non-local

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U2 - 10.1016/j.ces.2014.01.016

DO - 10.1016/j.ces.2014.01.016

M3 - Article

AN - SCOPUS:84894120417

SN - 0009-2509

VL - 109

SP - 98

EP - 110

JO - Chemical Engineering Science

JF - Chemical Engineering Science

ER -