Analysis of the Rouse model in extensional flow. I. A general solution of the distribution function in an arbitrary flow field

1983 ◽  
Vol 78 (7) ◽  
pp. 4743-4748 ◽  
Author(s):  
D. H. King ◽  
D. F. James
Keyword(s):  
Distribution Function ◽  
General Solution ◽  
Flow Field ◽  
Extensional Flow ◽  
Rouse Model ◽  
Arbitrary Flow

Orientation Distribution of Fiber Suspensions in Extensional Flow

2013 ◽  
Vol 785-786 ◽  
pp. 981-984 ◽  
Author(s):  
Zan Huang ◽  
Jin Ping Qu ◽  
Ji Wei Geng ◽  
Shu Feng Zhai ◽  
Shi Kui Jia
Keyword(s):  
Differential Equation ◽  
Distribution Function ◽  
Orientation Distribution Function ◽  
Fiber Orientation ◽  
Extensional Flow ◽  
Three Dimensional ◽  
Orientation Distribution ◽  
Fiber Suspensions ◽  
Short Fibers ◽  
Fiber Orientation Distribution

An orientation distribution function is adopted to describe three-dimensional orientation distribution of short fibers suspensions in extensional flow. A mathematical model of evolution process on fiber orientation distribution function is established by analytical method. Numerical simulation is also used to describe two and three dimensional orientation distribution of fibers. Therefore, analytical solution of differential equation on forecast fiber orientation distribution is deduced.

scholarly journals Inducing protein aggregation by extensional flow

2017 ◽  
Vol 114 (18) ◽  
pp. 4673-4678 ◽  
Author(s):  
John Dobson ◽  
Amit Kumar ◽  
Leon F. Willis ◽  
Roman Tuma ◽  
Daniel R. Higazi ◽  
...  
Keyword(s):  
Flow Field ◽  
Protein Aggregation ◽  
Large Scale ◽  
Extensional Flow ◽  
Cysteine Residue ◽  
Hydrodynamic Flow ◽  
Extrinsic Factors ◽  
Aggregation Propensity ◽  
Industrial Manufacture

Relative to other extrinsic factors, the effects of hydrodynamic flow fields on protein stability and conformation remain poorly understood. Flow-induced protein remodeling and/or aggregation is observed both in Nature and during the large-scale industrial manufacture of proteins. Despite its ubiquity, the relationships between the type and magnitude of hydrodynamic flow, a protein’s structure and stability, and the resultant aggregation propensity are unclear. Here, we assess the effects of a defined and quantified flow field dominated by extensional flow on the aggregation of BSA, β2-microglobulin (β2m), granulocyte colony stimulating factor (G-CSF), and three monoclonal antibodies (mAbs). We show that the device induces protein aggregation after exposure to an extensional flow field for 0.36–1.8 ms, at concentrations as low as 0.5 mg mL−1. In addition, we reveal that the extent of aggregation depends on the applied strain rate and the concentration, structural scaffold, and sequence of the protein. Finally we demonstrate the in situ labeling of a buried cysteine residue in BSA during extensional stress. Together, these data indicate that an extensional flow readily unfolds thermodynamically and kinetically stable proteins, exposing previously sequestered sequences whose aggregation propensity determines the probability and extent of aggregation.

Dynamics Analysis of Orientation Distribution of Fiber Suspensions in Shear-Extensional Flow

2014 ◽  
Vol 709 ◽  
pp. 168-171
Author(s):  
Pei Fang Luo
Keyword(s):  
Differential Equation ◽  
Mathematical Model ◽  
Distribution Function ◽  
Fiber Orientation ◽  
Extensional Flow ◽  
Orientation Distribution ◽  
Dynamics Analysis ◽  
Fiber Suspensions ◽  
Short Fibers ◽  
Uniaxial Extensional Flow

A mathematical model on orientation distribution function of short fibers suspensions in shear-uniaxial extensional flow is established. Furthermore, the result of differential equation on fiber orientation can be obtained.

scholarly journals Simulation of Arbitrary Flow Field Using Voxel Method

2002 ◽  
Vol 2002.15 (0) ◽  
pp. 541-542
Author(s):  
Kangbin LEI ◽  
Masako IWATA ◽  
Shigeho NODA ◽  
Ryutaro HIMENO
Keyword(s):  
Flow Field ◽  
Arbitrary Flow

Numerical Simulation of Dynamics on Plant Fibers Suspension in Shear-Planar Extensional Flow

2014 ◽  
Vol 1056 ◽  
pp. 66-69 ◽  
Author(s):  
Zan Huang
Keyword(s):  
Differential Equation ◽  
Numerical Simulation ◽  
Flow Field ◽  
Mathematical Simulation ◽  
Extensional Flow ◽  
Simulation Method ◽  
Complex Flow ◽  
Plant Fibers ◽  
Fibers Orientation ◽  
Planar Extensional Flow

A mathematical simulation method is applied to simulate dynamics on plant fibers suspensions in shear-planar extensional flow. Furthermore, the result of differential equation on plant fibers orientation can be obtained in complex flow field.

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