Suppressing the Coalescence in the LBM: Colloids Rheology

  • Hassan Farhat
  • Joon Sang Lee
  • Sasidhar Kondaraju


This chapter presents a novel phenomenological approach for suppressing the coalescence in the Gunstensen multicomponent lattice Boltzmann method (LBM). The suppression of coalescence is achieved by perturbing the terminal nodes of the ambient fluid’s thin layer trapped between the approaching droplets. This additional perturbation creates a local high pressure fluid layer which eventually leads to suppressing the coalescence of the neighboring droplets while maintaining a suitable qualitative force balance representative of the physical intermolecular forces which act between them. The suppression of coalescence enables predicting the rheological properties of soft colloids, which is one of the most challenging and complicated problems in material and fluid sciences. Substantial complications in prediction of rheology arise due to the deformability and aggregation of soft colloids. Thus, a better understanding to deformation and aggregation of colloids can lead to a better understanding of the shear thinning region of colloidal solutions. This chapter provides a practical overview of the deformation and de-aggregation of droplets with change in time or increase in shear rate. Simulations performed here are used to quantify (a) relative viscosity of emulsions with change in shear rate, (b) relative viscosity of emulsions with change in time, (c) effect of deformation of droplets on the shear thinning region in emulsions, and (d) relative viscosity of emulsions with change in volume fraction.


Shear Rate High Shear Rate Lattice Boltzmann Method Viscosity Ratio Effective Viscosity 
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Supplementary material


Coalescence. Phase field density contour for droplets in quiescent flow is shown for droplets. Droplets in this simulation are not subjected to suppression of coalescence (cin * = 0) and coalesce to form one single droplet. (see Fig. 5.3a) (WMV 521 kb)


Supcoal. Phase field density contour for droplets in quiescent flow is shown for droplets. Droplets in this simulation are subjected to suppression of coalescence (cin * = 1) and remain as separate droplets till the end. (see Fig. 5.3b) (WMV 182 kb)


SupCoal4d. Pressure contours for the droplets are shown with varying time when droplets are subjected to suppression of coalescence. (cin * = 1). Pressure at the interfaces is found to increase, as the droplets come close to each other. (see Fig. 5.3c) (WMV 174 kb)


Rheo_10drops_0.6_per_sec. 3D phase field contours of multiple droplets under the influence of three different shear rates is shown here (see Fig. 5.15) (WMV 685 kb)


Rheo_10drops_1.8_per_sec. 3D phase field contours of multiple droplets under the influence of three different shear rates is shown here (see Fig. 5.15) (WMV 656 kb)


Rheo_10drops_3.0_per_sec. 3D phase field contours of multiple droplets under the influence of three different shear rates is shown here (see Fig. 5.15) (WMV 697 kb)


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Hassan Farhat
    • 1
  • Joon Sang Lee
    • 2
  • Sasidhar Kondaraju
    • 3
  1. 1.Department of Mechanical EngineeringWayne State UniversityDetroitUSA
  2. 2.Yonsei UniversitySeoulRepublic of (South Korea)
  3. 3.Department of Mechanical EngineeringIndian Institute of TechnologyDelhiIndia

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