2019
DOI: 10.1007/978-3-030-23370-9_1
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Numerical Approaches to Complex Fluids

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Cited by 6 publications
(3 citation statements)
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References 134 publications
(150 reference statements)
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“…The numerical simulations were performed using the open-source framework RheoTool 51 integrated with OpenFOAM, 52 where the equations were discretized using a finite volume method and the log-conformation approach was used to calculate the polymeric stress tensor. 53,54 The relationship between the polymeric stress tensor, σ p , and the log-conformation tensor, Θ , is given as:…”
Section: Methodsmentioning
confidence: 99%
“…The numerical simulations were performed using the open-source framework RheoTool 51 integrated with OpenFOAM, 52 where the equations were discretized using a finite volume method and the log-conformation approach was used to calculate the polymeric stress tensor. 53,54 The relationship between the polymeric stress tensor, σ p , and the log-conformation tensor, Θ , is given as:…”
Section: Methodsmentioning
confidence: 99%
“…Where, 𝜙 0 is the levelset function prior to reshaping, and 𝑆(𝜙 0 ) is a smoothed-out sign function, and t is the pseudo time. The 𝑆(𝜙 0 ) can numerically approximated [24] as:…”
Section: Levelset Methods Conceptmentioning
confidence: 99%
“…This is due to the fact that the effective viscosity diverges to infinite shear rates and zero shear rates for shear thinning and shear thickening fluid. When solving non-Newtonian flow numerically, it may result in significantly time step constraint when explicit schemes are used, and disrupt the solution technique usually used to solve implicitly the viscous terms in the momentum equation [64]. Several methods have been used to solve the problem analogous in this work.…”
Section: Introductionmentioning
confidence: 99%