Homogenization approach to the behavior of suspensions of noncolloidal particles in yield stress fluids

by: Xavier Chateau, Guillaume Ovarlez, Kien L Trung

Journal of Rheology, Vol. 52, No. 2. (2008), pp. 489-506.

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Abstract

The behavior of suspensions of rigid particles in a non-Newtonian fluid is studied in the framework of a nonlinear homogenization method. Estimates for the overall properties of the composite material are obtained. In the case of a Herschel–Bulkley suspending fluid, it is shown that the properties of a suspension with overall isotropy can be satisfactorily modeled as that of a Herschel–Bulkley fluid with an exponent equal to that of the suspending fluid. Estimates for the yield stress and the consistency at large strain rate levels are proposed. These estimates compare well to both experimental data obtained by Mahaut et al. [J. Rheol. 52(1), 287–313 (2008)] and to experimental data found in the literature. ©2008 The Society of Rheology

@article{citeulike:2761731, abstract = {The behavior of suspensions of rigid particles in a non-Newtonian fluid is studied in the framework of a nonlinear homogenization method. Estimates for the overall properties of the composite material are obtained. In the case of a Herschel\–Bulkley suspending fluid, it is shown that the properties of a suspension with overall isotropy can be satisfactorily modeled as that of a Herschel\–Bulkley fluid with an exponent equal to that of the suspending fluid. Estimates for the yield stress and the consistency at large strain rate levels are proposed. These estimates compare well to both experimental data obtained by Mahaut et al. [J. Rheol. 52(1), 287\–313 (2008)] and to experimental data found in the literature. \©2008 The Society of Rheology}, author = {Chateau, Xavier and Ovarlez, Guillaume and Trung, Kien L. }, citeulike-article-id = {2761731}, doi = {10.1122/1.2838254}, journal = {Journal of Rheology}, keywords = {jspp\_cae, nonlinear\_homogenization\_method, rheology, suspension}, number = {2}, pages = {489--506}, posted-at = {2008-05-06 16:39:17}, priority = {2}, publisher = {SOR}, title = {Homogenization approach to the behavior of suspensions of noncolloidal particles in yield stress fluids}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=JORHD2000052000002000489000001\&idtype=cvips\&gifs=yes}, volume = {52}, year = {2008} }

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TY - JOUR ID - citeulike:2761731 L3 - citeulike-article-id:2761731 TI - Homogenization approach to the behavior of suspensions of noncolloidal particles in yield stress fluids JF - Journal of Rheology VL - 52 IS - 2 SP - 489 EP - 506 PB - SOR N2 - The behavior of suspensions of rigid particles in a non-Newtonian fluid is studied in the framework of a nonlinear homogenization method. Estimates for the overall properties of the composite material are obtained. In the case of a Herschel–Bulkley suspending fluid, it is shown that the properties of a suspension with overall isotropy can be satisfactorily modeled as that of a Herschel–Bulkley fluid with an exponent equal to that of the suspending fluid. Estimates for the yield stress and the consistency at large strain rate levels are proposed. These estimates compare well to both experimental data obtained by Mahaut et al. [J. Rheol. 52(1), 287–313 (2008)] and to experimental data found in the literature. ©2008 The Society of Rheology KW - jspp_cae KW - nonlinear_homogenization_method KW - rheology KW - suspension AU - Chateau, Xavier AU - Ovarlez, Guillaume AU - Trung, Kien PY - 2008/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JORHD2000052000002000489000001&idtype=cvips&gifs=yes ER -

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