A priori analysis of a closure model using the reconstruction of the orientation distribution function in flow of fiber suspensions

Moosaie, Amin; Le Duc, Anne; Manhart, Michael
October 2011
Computational Mechanics;Oct2011, Vol. 48 Issue 4, p451
Academic Journal
A closure model for flow-induced fiber orientation is proposed that is based on a reconstruction of the orientation distribution function (ODF). An a priori analysis by using Monte-Carlo simulation was performed. The main results are as follows. For strong rotary Brownian motion (low Péclet numbers), the model performs well even by using only the second moment to reconstruct the ODF. By considering the fourth moment in the reconstruction procedure, the accuracy of the model is improved and the model is applicable to higher Péclet numbers. At very high Péclet numbers and for non-Brownian fibers, the solution predicted by the proposed model deviates from the reference solution.


Related Articles

  • Distribution functions for filaments under tension. Kessler, David A.; Rabin, Yitzhak // Journal of Chemical Physics;7/8/2004, Vol. 121 Issue 2, p1155 

    We develop a biased Monte Carlo simulation technique to measure the distribution functions of the extension and the end-to-end distance of fluctuating filaments stretched by external force. The method is applicable for arbitrary ratio of the persistence length to the contour length and for...

  • ISPITIVANJE UTJECAJA KARAKTERISTIKA PAPIRA NA PARAMETAR w FUNKCIJE RAZMAZIVANJA TOÄŒKE LORENTZOVOG OBLIKA. Maretić, Katja Petric; Modrić, Damir; Milković, Marin // Technical Journal / Tehnicki Glasnik;Jun2013, Vol. 7 Issue 2, p148 

    Subsurface scattering of light in paper (fabric or other transparent material) has been calculated in the framework of Monte Carlo simulation, which has given the Lorentz shaped point spread function (PSF) as the result. The paper was modelled with respect to various parameters of the paper...

  • A Scaling Algorithm of Self-avoiding Chain Adsorbed on the Surface. He-Bei Gao; Zhi-Yang Gu; Rui Zhong; Chang-Ji Qian; Hong Li; Bin Gong // Journal of Software (1796217X);Dec2013, Vol. 8 Issue 12, p3200 

    A single polymer chain with one end tethered to an impenetrable flat surface is simulated by using Monte Carlo simulation method. The polymer chain is generated using self-avoiding walk method in the simple cubic lattice. The monomer does Brownian motion by the bond-fluctuation method in the...

  • A Smoluchowski model of crystallization dynamics of small colloidal clusters. Beltran-Villegas, Daniel J.; Sehgal, Ray M.; Maroudas, Dimitrios; Ford, David M.; Bevan, Michael A. // Journal of Chemical Physics;10/21/2011, Vol. 135 Issue 15, p154506 

    We investigate the dynamics of colloidal crystallization in a 32-particle system at a fixed value of interparticle depletion attraction that produces coexisting fluid and solid phases. Free energy landscapes (FELs) and diffusivity landscapes (DLs) are obtained as coefficients of 1D Smoluchowski...

  • A Variable Coefficient Method for Accurate Monte Carlo Simulation of Dynamic Asset Price. Yiming Li; Chih-Young Hung; Shao-Ming Yu; Su-Yun Chiang; Yi-Hui Chiang; Hui-Wen Cheng // AIP Conference Proceedings;2007, Vol. 922 Issue 1, p627 

    In this work, we propose an adaptive Monte Carlo (MC) simulation technique to compute the sample paths for the dynamical asset price. In contrast to conventional MC simulation with constant drift and volatility (μ,σ), our MC simulation is performed with variable coefficient methods for...

  • Simulation of the rotational Brownian dynamics of a simple, segmentally flexible model: The elastic trumbbell. Díaz, F. G.; García de la Torre, J. // Journal of Chemical Physics;6/15/1988, Vol. 88 Issue 12, p7698 

    The rotational dynamics of a segmentally flexible model, the elastic trumbbell, has been studied using a Brownian dynamics simulation technique. The model is composed of three beads jointed by two bonds. A potential that is quadratic in the bending angle describes the partial flexibility of the...

  • An L-Moment-Based Analog for the Schmeiser-Deutsch Class of Distributions. Headrick, Todd C.; Pant, Mohan D. // ISRN Applied Mathematics;2012, p1 

    This paper characterizes the conventional moment-based Schmeiser-Deutsch (S-D) class of distributions through the method of L-moments. The system can be used in a variety of settings such as simulation or modeling various processes. A procedure is also described for simulating S-D distributions...

  • Structural Modelling of the Licl Aqueous Solution: Using the Hybrid Reverse Monte A Carlo (HRMC) Simulation. Habchi, M.; Mesli, S. M.; Kotbi, M. // World Academy of Science, Engineering & Technology;2012, Issue 64, p923 

    The Reverse Monte Carlo (RMC) simulation is applied in the study of an aqueous electrolyte LiCl6H2O. On the basis of the available experimental neutron scattering data, RMC computes pair radial distribution functions in order to explore the structural features of the system. The obtained results...

  • Estimating Cointegrated Panels with Common Factors and the Forward Rate Unbiasedness Hypothesis. Westerlund, Joakim // Journal of Financial Econometrics; 

    This article proposes a bias-adjusted estimator for use in cointegrated panel regressions when the errors are cross-sectionally correlated through an unknown common factor structure. The asymptotic distribution of the new estimator is derived and is examined in small samples using Monte Carlo...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics