10 papers
Heterogeneous Anisotropic Kac Limits on Rectifiable Resolved Cut Spaces
Sai Peng
Ambient convergence does not determine a nonlocal energy on a cut body: a cut has zero volume, but a microscopic bond retains which labelled bank its path crosses. We give a direct…
Projection-Lift Equivalence and Dissipation-Tight Compactness for Continuum-State FENE-Markov Fluids
Sai Peng
We consider incompressible FENE dumbbells coupled to a reversible Markov operator on a compact continuum of internal states. At zero centre-of-mass diffusion we prove that state av…
Hopf Obstruction and Transported Forced Brakke Motion in Ordered Viscoelastic Cores
Sai Peng
We study topological relaxation in ordered viscoelastic conformation flows at finite epsilon. In an ordered region, a positive spectral gap selects an oriented principal axis and h…
Residual-Work Compatibility Criteria and Defect-Measure Compactness for Positive-Cone Viscoelastic Reynolds States
Sai Peng
We prove a residual-work compatibility theory for positive-cone viscoelastic Reynolds states. In Oldroyd--B, the entropy cancellation eliminates incompressible transport and upper-…
Pressure Quotients and Endpoint Velocity-Clock Criteria for Non-Diffusive Viscoelastic Flows
Sai Peng
We prove endpoint continuation criteria for stress-diffusion-free incompressible viscoelastic flows by working modulo pressure. In two space dimensions, the pressure-free part of a…
Three-Dimensional Positive-Cone Oldroyd-B Flows:Geometric Continuation and Residual-Work Criteria
Sai Peng
We prove a three-dimensional positive-cone continuation criterion for the stress-diffusion-free Oldroyd-B system on the periodic torus. Writing the positive conformation tensor as…
Entropy-Compatible Barrier Schemes for Diffusive FENE Flows
Sai Peng
FENE-type conformation-tensor models impose a finite-extensibility constraint that is absent from Oldroyd--B flow: the conformation tensor must satisfy $\CC\succ0$ and $\tr\CC<L^2$…
Entropy-Compatible Reconstruction for High-Weissenberg Viscoelastic Flow
Sai Peng
Log-conformation and square-root reconstructions preserve positive definiteness in high-Weissenberg viscoelastic simulations, but positivity alone does not guarantee compatibility…
Vortex shedding and heat transfer from a heated circular cylinder in Bingham plastic fluids
Sai Peng, Xiang Li, Li Yu +2
The present study numerically investigates the vortex shedding and heat transfer characteristics of a heated circular cylinder immersed in Bingham plastic fluids.The effects of thr…
Equivalent slip length of flow around a super-hydrophobic cylinder
Zhi-yong Li, Ya-kang Xiao, Yan-cheng Li +3
In this research, a two-dimensional numerical simulation is conducted to determine the equivalent wall slip length for flow around a circular cylinder featuring a super-hydrophobic…