�ber Str�mungsdoppelbrechung

Boeder, Paul

doi:10.1007/bf01341776

Cited by 126 publications

(24 citation statements)

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“…The orientations of dilute colloidal particles in the bulk of a flowing fluid in a 2D-spatial frame have been studied early by Boeder [17], who introduced a differential equation (BDE)taking into account the dynamic effects due to the Brownian and hydrodynamic forces acting on the particles. In this paper we go beyond the algorithm based in Boeder's BDE and used previously for the 2D-spatial frame [18]- [20], in order to establish an appropriate algorithm based in Jeffrey's equations to calculate the appropriate stochastic PDF distributions in the 3D-spatial frame, for rod-like and ellipsoidal particles in bulk liquid solutions and in the vicinity of the solid surface boundaries of surrounding pores.…”

Section: Colloidal Particle Model In 3d-spatial Framesmentioning

confidence: 99%

Theoretical and Numerical Calculations for the Dynamics of Dilute Colloidal Suspensions of Molecular Particles inside Mesopores

Hijazi¹,

Atwi²,

Khater³

2014

IJCTE

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Abstract-Numerical simulations are developed and applied to analyze the dynamics of dilute colloidal suspensions of molecular nano-particles in dilute solutions flowing in confining pore channels, subject to hydrodynamic forces, and Brownian motion. The numerical simulations are developed by deriving appropriate algorithms based in Jeffery formalism (in 3D) for the particle dynamics. A theoretical model is intensively developed to treat a number of basic ingredients for the simulation algorithms for the pore channels, in particular the dynamic restitution of the nano-particles due to their diffusive collisions at the pore boundaries, the appropriate boundary conditions flow at atomically rough solid boundaries, and the influence of Brownian dynamics in the colloidal suspensions. These and other ingredients for the numerical codes are designed to calculate rigorously and efficiently the PDF distributions for the molecular-particles under equilibrium dynamics. The PDF distributions for the orientations of these particles are calculated by applying the numerical simulations. This procedure also permits calculating the nematic order parameters for the colloidal suspensions on a nano scale in 3D. The calculations of the PDF distributions and nematic order parameters are carried out for diverse species of molecular nano-particles, to investigate the influence of their varying forms from rod-like to ellipsoidal with corresponding diffusion rates.

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Section: Colloidal Particle Model In 3d-spatial Framesmentioning

confidence: 99%

Theoretical and Numerical Calculations for the Dynamics of Dilute Colloidal Suspensions of Molecular Particles inside Mesopores

Hijazi¹,

Atwi²,

Khater³

2014

IJCTE

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“…Schematic representaion of the rigid-like macromolecular particles in the depeltion layer next to the solid surface boundary of one of the two plates which confi ne the hydrodynamic fl ow of the fl uid (2) seen that the angular velocity is maximum when the ellipsoid is perpendicular to the flow direction ( ) and minimum when it is along the flow direction ( = 0).…”

Section: Model Algorithmmentioning

confidence: 99%

“…Several biological and engineering applications involve the flow of a suspension of particles in a fluid. Many researchers have addressed different aspects of the dynamics of particles suspended in a flowing solution [1][2][3][4][5]. This theme also has promising new applications in the context of mesopore nanotechnology.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional Monte Carlo simulations of the dynamics of macromolecular particles in solutions flowing in mesopores

Atwi¹,

Khater²,

Hijazi

2010

Open Chemistry

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Abstract:© Versita Sp. z o.o. Numerical simulations are developed to calculate the dynamic equilibrium probability distribution functions (PDF) for macromolecular rod-like particles suspended in a fluid under hydrodynamic flow inside mesopores. The simulations take into account the effects of Brownian and hydrodynamic forces acting on the particles, as well as diffusive collisions of the particles with the solid surface boundaries. An algorithm is developed for this purpose based on Jeffery's equations for the dynamics of ellipsoidal objects in bulk fluids, and on a mechanism of restitution for the diffusive collisions. The results are presented with a focus on the depletion layer next to two types of solid boundaries, ideally flat and rough. They demonstrate the significance of numerical simulations in 3D compared to previous results based on a 2D approach. In particular, we are able to obtain a complete topography for the PDFs segmented as a hierarchy in the depletion layer.

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“…(a) the viscosity coefficient of the solvent, (b) the concentration of the solute, (c) the temperature of the solution, (d) the pH of the solution (4), (e) the ionic strength of the solution (5-7), (f) the electric charge on the molecule (6, 7), (g) the velocity gradient under which the viscosity coefficient was measured (8)(9)(10)(11)(12), (It) the shape of the macromolecule (13), (i) the intramolecular flexibility of the maeromoiecule (14), (j) the solvation of the macromolecule, (k) physical interactions between macromolectrles, (0 the "chemical" interactions between macromolecules.…”

Section: Theorymentioning

confidence: 99%

The Intrinsic Viscosity of Mixed Protein Systems, Including Studies of Plasma and Serum

Hess¹,

Cobure²

1950

Journal of General Physiology

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Experimental evidence is presented that the intrinsic viscosity of solutions of mixed proteins obeys the additive equation See PDF for Equation. The datum serves to characterize the system, and combined with other analytical techniques and fractionation procedures, enables one to analyze and characterize subfractions. The plasmas and sera of clinically "normal" individuals give intrinsic viscosity values agreeing with calculated values. The intrinsic viscosity values for pathological plasmas and sera in all cases are greater than normal and reflect the augmented levels of those proteins fibrinogen, α2-globulins, and γ-globulins occurring in the pathological state. The method is readily adaptable to routine clinical use and furnishes a measure of the departure from normal of protein levels in serum and plasma.

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�ber Str�mungsdoppelbrechung

Cited by 126 publications

References 0 publications

Theoretical and Numerical Calculations for the Dynamics of Dilute Colloidal Suspensions of Molecular Particles inside Mesopores

Theoretical and Numerical Calculations for the Dynamics of Dilute Colloidal Suspensions of Molecular Particles inside Mesopores

Three-dimensional Monte Carlo simulations of the dynamics of macromolecular particles in solutions flowing in mesopores

The Intrinsic Viscosity of Mixed Protein Systems, Including Studies of Plasma and Serum

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