Dean flow of a Bingham fluid in a curved rectangular duct

Journal of Non-Newtonian Fluid Mechanics - Tập 286 - Trang 104440 - 2020
Miguel Moyers-Gonzalez1, Ian A. Frigaard2
1School of Mathematics and Statistics, University of Canterbury, 4800 Private Bag, Christchurch, 8140, New Zealand
2Departments of Mathematics and Mechanical Engineering, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, Canada, V6T 1Z2

Tài liệu tham khảo

Dean, 1927, Note on the motion of fluid in a curved pipe, Philos. Magn., 20, 208, 10.1080/14786440708564324 Joo, 1992, A purely elastic instability in Dean and Taylor–Dean flow, Phys. Fluids, 4, 524, 10.1063/1.858325 Larson, 1992, Instabilities in viscoelastic flows, Rheol. Acta, 31, 213, 10.1007/BF00366504 Shaqfeh, 1996, Purely elastic instabilities in viscometric flows, Annu. Rev. Fluid Mech., 28, 129, 10.1146/annurev.fl.28.010196.001021 Malheiro, 2013, Parametric study on the three-dimensional distribution of velocity of a FENE-CR fluid flow through a curved channel, J. Non-Newton. Fluid Mech., 200, 88, 10.1016/j.jnnfm.2012.12.007 Poole, 2013, Viscoelastic secondary flows in serpentine channels, J. Non-Newton. Fluid Mech., 201, 10, 10.1016/j.jnnfm.2013.07.001 Iemoto, 1985, Steady laminar flow of viscoelastic fluid in a curved pipe of circular cross-section with varying curvature, J. Non-Newton. Fluid Mech., 22, 101, 10.1016/0377-0257(86)80006-4 Shanthini, 1986, Steady laminar flow of viscoelastic fluid in a curved pipe of circular cross-section with varying curvature, J. Non-Newton. Fluid Mech., 22, 35, 10.1016/0377-0257(86)80003-9 Fellouah, 2010, The dean instability in power-law and bingham fluids in a curved rectangular duct, J. Non-Newton. Fluid Mech., 165, 163, 10.1016/j.jnnfm.2009.10.009 Haines, 2013, The dean instability for shear-thinning fluids, J. Non-Newton. Fluid Mech., 198, 125, 10.1016/j.jnnfm.2013.05.004 Roberts, 2020, An analytic velocity profile for pressure-driven flow of a bingham fluid in a curved channel, J. Non-Newton. Fluid Mech., 280, 10.1016/j.jnnfm.2020.104278 Soleimani, 2011, Taylor–Dean instability of yield-stress fluids at large gaps, J. Non-Newton. Fluid Mech., 166, 607, 10.1016/j.jnnfm.2011.02.009 Clegg, 1963, Flow of a Bingham fluid in a slightly curved tube, App. Sci. Res. A, 12, 199, 10.1007/BF03184640 Das, 1992, Flow of a Bingham fluid in a slightly curved tube, Int. J. Eng. Sci., 30, 1193, 10.1016/0020-7225(92)90067-Q Nourouzi, 2015, An exact analytical solution for creeping Dean flow of Bingham plastics through curved rectangular ducts, Rheol. Acta, 54, 391, 10.1007/s00397-014-0807-x Walton, 1991, The axial flow of a Bingham plastic in a narrow eccentric annulus, J. Fluid Mech., 222, 39, 10.1017/S002211209100099X Putz, 2009, On the lubrication paradox and the use of regularisation methods for lubrication flows, J. Non-Newton. Fluid Mech., 163, 62, 10.1016/j.jnnfm.2009.06.006 Frigaard, 2006, Background lectures on ideal visco-plastic fluid flows Mosolov, 1965, Variational methods in the theory of the fluidity of a viscous-plastic medium, J. Mech. Appl. Math. (PPM), 29, 468 Huilgol, 2006, A systematic procedure to determine the minimum pressure gradient required for the flow of viscoplastic fluids in pipes of symmetric cross-section, J. Non-Newton. Fluid Mech., 136, 140, 10.1016/j.jnnfm.2006.04.001 Marly, 2017, Augmented Lagrangian simulations study of yield-stress fluid flows in expansion-contraction and comparisons with physical experiments, J. Non-Newton. Fluid Mech., 239, 35, 10.1016/j.jnnfm.2016.12.004