Particle migration of concentrated suspension flow in bifurcating channels

2019 ◽  
Vol 30 (9) ◽  
pp. 1897-1909
Author(s):  
Bhaskar Jyoti Medhi ◽  
Mallela Mallikarjuna Reddy ◽  
Anugrah Singh
Keyword(s):  
Particle Migration ◽  
Suspension Flow ◽  
Concentrated Suspension

Heat transfer and shear-induced migration in dense non-Brownian suspension flows: modelling and simulation

2018 ◽  
Vol 840 ◽  
pp. 432-454 ◽  
Author(s):  
T. Dbouk
Keyword(s):  
Heat Transfer ◽  
Thermal Diffusivity ◽  
Shear Rate ◽  
Volume Fraction ◽  
Particle Volume Fraction ◽  
Laminar Flows ◽  
Modelling And Simulation ◽  
Particle Migration ◽  
Concentrated Suspension ◽  
Suspension Flows

Modelling and simulation are developed, generalized and validated for both heat transfer and shear-induced particle migration in dense non-colloidal laminar suspension flows. Past theory and measurements for the effective thermal conductivity in porous materials at zero shear rate are coupled to more recent effective thermal diffusivity measurements of sheared suspensions. The suspension effective heat transfer affected by the local shear rate ($\dot{\unicode[STIX]{x1D6FE}}$), the phenomenon of shear-induced particle migration (SIM), the buoyancy effects ($\unicode[STIX]{x0394}\unicode[STIX]{x1D70C}$) and the thermal Péclet number ($Pe_{d_{p}}=\dot{\unicode[STIX]{x1D6FE}}d_{p}^{2}/\unicode[STIX]{x1D6FC}_{f}$, where $d_{p}$ is the diameter of rigid particles and $\unicode[STIX]{x1D6FC}_{f}$ is the fluid phase thermal diffusivity) at the particle scale are all considered in the present constitutive three-dimensional modelling. Moreover, the influence of the temperature, the shear rate and the particle volume fraction ($\unicode[STIX]{x1D719}$) on the suspension effective viscosity ($\unicode[STIX]{x1D702}_{S}$), the suspension effective thermal properties and the fluid density ($\unicode[STIX]{x1D70C}_{f}$) are taken also into account. The present contribution represents an emerging field of heat transfer applications of complex fluid flows and is very beneficial for many future applications where concentrated suspension laminar flows with conjugate heat transfer may be present (e.g. for designing more innovative and compact heat exchangers).

Shear-induced particle migration in a polydisperse concentrated suspension

1998 ◽  
Vol 42 (6) ◽  
pp. 1329-1348 ◽  
Author(s):  
Anat Shauly ◽  
Amir Wachs ◽  
Avinoam Nir
Keyword(s):  
Particle Migration ◽  
Concentrated Suspension

Effects of particle migration on suspension flow in a hydraulic fracture

2014 ◽  
Vol 49 (2) ◽  
pp. 208-221 ◽  
Author(s):  
S. A. Boronin ◽  
A. A. Osiptsov
Keyword(s):  
Hydraulic Fracture ◽  
Particle Migration ◽  
Suspension Flow

scholarly journals Lubrication model of suspension flow in a hydraulic fracture with frictional rheology for shear-induced migration and jamming

2019 ◽  
Vol 475 (2226) ◽  
pp. 20190039 ◽  
Author(s):  
E. V. Dontsov ◽  
S. A. Boronin ◽  
A. A. Osiptsov ◽  
D. Yu. Derbyshev
Keyword(s):  
Hydraulic Fracture ◽  
Constitutive Relations ◽  
Close Packing ◽  
Particle Migration ◽  
Suspension Flow ◽  
Suspension Rheology ◽  
Slurry Flow ◽  
Particle Volume ◽  
Proppant Transport ◽  
The Family

We developed a model for suspension flow in a hydraulic fracture, taking into account frictional rheology to capture the effects of shear-induced particle migration, jamming and transition to close packing. One of the key issues with the existing slurry rheology models is that each of them diverges near the close packing limit, which is typically resolved in numerical simulations via a pragmatic (and mostly unjustified) regularization. Another drawback of the family of existing models for proppant transport in fractures is the assumption of a uniform cross-flow concentration profile, which neglects the effects of shear-induced migration. We developed a self-consistent model for slurry flow with a constitutive relation for suspension rheology, which is applicable in the entire range of particle volume concentration, from dilute suspension through dense suspension to the close packing limit. In addition, we investigated the influence of various constitutive relations for the suspension rheology on the final model for the slurry flow. The selected model for slurry flow was implemented into a two-dimensional lubrication model of proppant transport in a fracture (based on the two-continua approach), and illustrative simulations were conducted in comparison with the family of existing suspension rheology models (having a singularity). Validation against laboratory experiments is discussed.

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