Thermal chaotic mixing of power-law fluids in a mixer with alternately rotating walls

Ottino, 1989 Aref, 2002, The development of chaotic advection, Physics of Fluids, 14, 1315, 10.1063/1.1458932 Jana, 2004, Effects of viscosity ratio and composition on development of morphology in chaotic mixing of polymers, Polymer, 45, 1665, 10.1016/j.polymer.2003.12.047 Tanguy, 1997, Mixing performance induced by coaxial flat blade-helical ribbon impellers rotating at different speeds, Chemical Engineering Science, 52, 1733, 10.1016/S0009-2509(97)00008-0 Mota, 2007, Optimization of heat-transfer rate into time-periodic two-dimensional Stokes flows, International Journal for Numerical Methods in Fluids, 53, 915, 10.1002/fld.1312 Ganesan, 1997, Chaotic heat transfer enhancement in rotating eccentric annular-flow systems, Physics of Fluids, 9, 1296, 10.1063/1.869245 Peerhossaini, 1993, Heat exchanger design based on chaotic advection, Experimental Thermal and Fluid Science, 7, 333, 10.1016/0894-1777(93)90056-O Kumar, 2007, Laminar convective heat transfer in chaotic configuration, International Journal of Heat and Mass Transfer, 50, 2469, 10.1016/j.ijheatmasstransfer.2006.12.029 Fellouah, 2010, The Dean instability in power-law and bingham fluids in a curved rectangular duct, Journal of Non-Newtonian Fluid Mechanics, 165, 163, 10.1016/j.jnnfm.2009.10.009 Niederkorn, 1994, Chaotic mixing of shear-thinning fluids, AIChE Journal, 40, 1782, 10.1002/aic.690401103 Anderson, 2000, Mixing of non-Newtonian fluids in time-periodic cavity flows, Journal of Non-Newtonian Fluid Mechanics, 93, 265, 10.1016/S0377-0257(00)00120-8 Baloch, 2003, Distributed parallel computation for complex rotational flows of non-Newtonian fluids, International Journal for Numerical Methods in Fluids, 43, 1301, 10.1002/fld.541 Sujatha, 2003, Modelling three-dimensional rotating flows in cylindrical-shaped vessels, International Journal for Numerical Methods in Fluids, 43, 1067, 10.1002/fld.509 Connelly, 2004, The effect of shear thinning and differential viscoelasticity on mixing in a model 2D mixer as determined using FEM with particle tracking, Journal of Non-Newtonian Fluid Mechanics, 123, 1, 10.1016/j.jnnfm.2004.03.006 Kumar, 1996, Chaotic advection in creeping flow of viscoelastic fluids between slowly modulated eccentric cylinders, Physics of Fluids, 8, 1774, 10.1063/1.868960 Escudier, 2002, Fully developed laminar flow of purely viscous non-Newtonian liquids through annuli, including the effects of eccentricity and inner-cylinder rotation, International Journal of Heat and Fluid Flow, 23, 52, 10.1016/S0142-727X(01)00135-7 Lester, 2009, Low Reynolds number scalar transport enhancement in viscous and non-Newtonian fluids, International Journal of Heat and Mass Transfer, 52, 655, 10.1016/j.ijheatmasstransfer.2008.06.039 El Omari, 2009, A numerical study of thermal chaotic mixing in a two rod rotating mixer, Computational Thermal Science, 1, 55, 10.1615/ComputThermalScien.v1.i1.30 El Omari, 2010, Alternate rotating walls for thermal chaotic mixing, International Journal of Heat and Mass Transfer, 53, 123, 10.1016/j.ijheatmasstransfer.2009.09.046 Price, 2003, Numerical and experimental characterization of a family of two-roll-mill flows, Royal Society of London, Proceedings Series A, 459, 117, 10.1098/rspa.2002.1022 Neofytou, 2005, A 3rd order upwind finite volume method for generalised Newtonian fluid flows, Advances in Engineering Software, 36, 664, 10.1016/j.advengsoft.2005.03.011 El Omari, 2008, Chaotic thermal mixing in a two-rod mixer Alves, 2003, A convergent and universally bounded interpolation scheme for the treatment of advection, International Journal for Numerical Methods in Fluids, 41, 47, 10.1002/fld.428 Ng, 2007, Higher-order bounded differencing schemes for compressible and incompressible flows, International Journal for Numerical Methods in Fluids, 53, 57, 10.1002/fld.1248 H. Jasak, Error analysis and estimation for the finite volume method with applications to fluid flows, Ph.D. Thesis, University of London, 1996. Patankar, 1980 Rhie, 1983, Numerical study of the turbulent flow past an airfoil with trailing edge separation, AIAA Journal, 21, 1525, 10.2514/3.8284 Dongarra, 1994, A sparse matrix library in C++ for high performance architectures, 214 Geuzaine, 2009, Gmsh: a three-dimensional finite element mesh generator with built-in pre-and post-processing facilities, International Journal for Numerical Methods in Engineering, 79, 1309, 10.1002/nme.2579 Botella, 1998, Benchmark spectral solutions on the lid-driven cavity flow, Computers & Fluids, 27, 421, 10.1016/S0045-7930(98)00002-4 Ghia, 1982, High-Re solutions for incompressible flow using Navier–Stokes equations and a multigrid method, Journal of Computational Physics, 48, 387, 10.1016/0021-9991(82)90058-4 Bell, 1994, p-Version least squares finite element formulation for two-dimensional, incompressible, non-Newtonian isothermal and non-isothermal fluid flow, International Journal for Numerical Methods in Fluids, 18, 127, 10.1002/fld.1650180202 Pierrehumbert, 1994, Tracer microstructure in the large-eddy dominated regime, Chaos Solitons and Fractals, 4, 1091, 10.1016/0960-0779(94)90139-2 Liu, 2004, Strange eigenmodes and decay of variance in the mixing of diffusive tracers, Physica D: Nonlinear Phenomena, 188, 1, 10.1016/S0167-2789(03)00287-2 S. Caubet, Y. Le Guer, B. Grassl, K. El Omari, E. Normandin, A low-energy emulsification batch mixer for concentrated oil-in-water emulsions, AIChE Journal, in press, doi:10.1002/aic.12253. Fournanty, 2008, Laminar flow emulsification process to control the viscosity reduction of heavy crude oils, Journal of Dispersion Science and Technology, 29, 1355, 10.1080/01932690701782871