A thermodynamic approach to generalised rheological equations of state for time-dependent and time-independent non-Newtonian fluids

Particle Tracking Computational Prediction of Hemolysis by Blade of Micro-Axial Blood Pump

“…The Casson plot (Fung, 1993) [12] showed that blood demonstrates non-Newtonian properties at low shear rates (less than 100 s -1 ), whilst above this threshold shear rate blood exhibits Newtonian properties. These findings were confirmed by Huang and Fabisiak (1978) [6], and Bludszuweit (1995a) [3], who both showed that at higher shear rates blood can be modelled as Newtonian. This assumption of Newtonian behaviour holds for the shear rates found in this simulation.…”

Particle Tracking Computational Prediction of Hemolysis by Blade of Micro-Axial Blood Pump

“…The Casson plot (Fung, 1993) [12] showed that blood demonstrates non-Newtonian properties at low shear rates (less than 100 s -1 ), whilst above this threshold shear rate blood exhibits Newtonian properties. These findings were confirmed by Huang and Fabisiak (1978) [6], and Bludszuweit (1995a) [3], who both showed that at higher shear rates blood can be modelled as Newtonian. This assumption of Newtonian behaviour holds for the shear rates found in this simulation.…”

Evaluation of Thixotropic Models for Waxy Crudes

“…It is derived by introducing a structural arrangement parameter to describe system entropy increase rate caused by structural changes due to the shearing and has been used to describe the hysteresis loop feature of human body blood [21] [22].…”

“…Cheng put forward the properties of thixotropic fluid under the condition of constant shear rate, shear rate loaded that steps up and shear rate that changes continuously for shearing repeatedly [3], but the existing mathematical models are mainly based on attenuation characteristic of the shear stress during the thixotropic process under the condition of constant shear rate loaded [4]- [7]. For the thixotropy of blood, the mathematical model of hysteresis thixotropic loop is proposed under the condition of shear rate that changes continuously by Huang [8]. For the thixotropy of waxy crude oils, though there are many researches, people rarely study the hysteresis thixotropic loop under the condition of shear rate that changes continuously and the attenuation characteristic of shear stress under the condition of shear rate loaded that steps up.…”

The characterization of the time-dependent nonlinear viscoelastic of an LDPE melt using a simple thixotropy model

“…The direct microstructural approach is based on a description of the density of transient entanglements or of the aggregation of particles or cells. Such typical models include those thixotropic equations given by Huang [7], De Kee and Chan [8], et al While the latter methodology is based on a scalar parameter equation representing the change of the structural breakdown and the structural buildup, and such typical models include the well-known thixotropic equations proposed by Cheng and Evans [9], as well as the models given by Tiu and Boger [10], Yziquel et al [11] and Mujumdar, Beris and Metzner [5] et al In fact, the effect of the structure parameter in the indirect microstructural approach is completely equivalent to that of the link density or the aggregation degree parameter in the direct microstructural approach.…”

Particle Tracking Computational Prediction of Hemolysis by Blade of Micro-Axial Blood Pump

“…The Casson plot (Fung, 1993) [12] showed that blood demonstrates non-Newtonian properties at low shear rates (less than 100 s -1 ), whilst above this threshold shear rate blood exhibits Newtonian properties. These findings were confirmed by Huang and Fabisiak (1978) [6], and Bludszuweit (1995a) [3], who both showed that at higher shear rates blood can be modelled as Newtonian. This assumption of Newtonian behaviour holds for the shear rates found in this simulation.…”

Evaluation of Thixotropic Models for Waxy Crudes

“…It is derived by introducing a structural arrangement parameter to describe system entropy increase rate caused by structural changes due to the shearing and has been used to describe the hysteresis loop feature of human body blood [21] [22].…”

“…Cheng put forward the properties of thixotropic fluid under the condition of constant shear rate, shear rate loaded that steps up and shear rate that changes continuously for shearing repeatedly [3], but the existing mathematical models are mainly based on attenuation characteristic of the shear stress during the thixotropic process under the condition of constant shear rate loaded [4]- [7]. For the thixotropy of blood, the mathematical model of hysteresis thixotropic loop is proposed under the condition of shear rate that changes continuously by Huang [8]. For the thixotropy of waxy crude oils, though there are many researches, people rarely study the hysteresis thixotropic loop under the condition of shear rate that changes continuously and the attenuation characteristic of shear stress under the condition of shear rate loaded that steps up.…”

The characterization of the time-dependent nonlinear viscoelastic of an LDPE melt using a simple thixotropy model

“…The direct microstructural approach is based on a description of the density of transient entanglements or of the aggregation of particles or cells. Such typical models include those thixotropic equations given by Huang [7], De Kee and Chan [8], et al While the latter methodology is based on a scalar parameter equation representing the change of the structural breakdown and the structural buildup, and such typical models include the well-known thixotropic equations proposed by Cheng and Evans [9], as well as the models given by Tiu and Boger [10], Yziquel et al [11] and Mujumdar, Beris and Metzner [5] et al In fact, the effect of the structure parameter in the indirect microstructural approach is completely equivalent to that of the link density or the aggregation degree parameter in the direct microstructural approach.…”

Particle Tracking Computational Prediction of Hemolysis by Blade of Micro-Axial Blood Pump

“…The Casson plot (Fung, 1993) [12] showed that blood demonstrates non-Newtonian properties at low shear rates (less than 100 s -1 ), whilst above this threshold shear rate blood exhibits Newtonian properties. These findings were confirmed by Huang and Fabisiak (1978) [6], and Bludszuweit (1995a) [3], who both showed that at higher shear rates blood can be modelled as Newtonian. This assumption of Newtonian behaviour holds for the shear rates found in this simulation.…”

Evaluation of Thixotropic Models for Waxy Crudes

“…It is derived by introducing a structural arrangement parameter to describe system entropy increase rate caused by structural changes due to the shearing and has been used to describe the hysteresis loop feature of human body blood [21] [22].…”

“…Cheng put forward the properties of thixotropic fluid under the condition of constant shear rate, shear rate loaded that steps up and shear rate that changes continuously for shearing repeatedly [3], but the existing mathematical models are mainly based on attenuation characteristic of the shear stress during the thixotropic process under the condition of constant shear rate loaded [4]- [7]. For the thixotropy of blood, the mathematical model of hysteresis thixotropic loop is proposed under the condition of shear rate that changes continuously by Huang [8]. For the thixotropy of waxy crude oils, though there are many researches, people rarely study the hysteresis thixotropic loop under the condition of shear rate that changes continuously and the attenuation characteristic of shear stress under the condition of shear rate loaded that steps up.…”

The characterization of the time-dependent nonlinear viscoelastic of an LDPE melt using a simple thixotropy model

“…The direct microstructural approach is based on a description of the density of transient entanglements or of the aggregation of particles or cells. Such typical models include those thixotropic equations given by Huang [7], De Kee and Chan [8], et al While the latter methodology is based on a scalar parameter equation representing the change of the structural breakdown and the structural buildup, and such typical models include the well-known thixotropic equations proposed by Cheng and Evans [9], as well as the models given by Tiu and Boger [10], Yziquel et al [11] and Mujumdar, Beris and Metzner [5] et al In fact, the effect of the structure parameter in the indirect microstructural approach is completely equivalent to that of the link density or the aggregation degree parameter in the direct microstructural approach.…”