Housiadas, Kostas D.; Tsangaris, Christos High-order lubrication theory in channels and tubes with variable geometry. (English) Zbl 1498.76023 Acta Mech. 233, No. 10, 4063-4081 (2022). MSC: 76D08 76M45 PDFBibTeX XMLCite \textit{K. D. Housiadas} and \textit{C. Tsangaris}, Acta Mech. 233, No. 10, 4063--4081 (2022; Zbl 1498.76023) Full Text: DOI
Boyko, Evgeniy; Stone, Howard A. Pressure-driven flow of the viscoelastic Oldroyd-B fluid in narrow non-uniform geometries: analytical results and comparison with simulations. (English) Zbl 07473377 J. Fluid Mech. 936, Paper No. A23, 33 p. (2022). MSC: 76-XX PDFBibTeX XMLCite \textit{E. Boyko} and \textit{H. A. Stone}, J. Fluid Mech. 936, Paper No. A23, 33 p. (2022; Zbl 07473377) Full Text: DOI arXiv
Raghunatha, K. R.; Shivakumara, I. S.; Shankar, B. M. Weakly nonlinear stability analysis of triple diffusive convection in a Maxwell fluid saturated porous layer. (English) Zbl 1382.76014 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 2, 153-168 (2018). MSC: 76A10 76E06 76S05 PDFBibTeX XMLCite \textit{K. R. Raghunatha} et al., AMM, Appl. Math. Mech., Engl. Ed. 39, No. 2, 153--168 (2018; Zbl 1382.76014) Full Text: DOI Link
Mohammadi, A.; Floryan, J. M.; Kaloni, P. N. Spectrally accurate method for analysis of stationary flows of second-order fluids in rough micro-channels. (English) Zbl 1322.76046 Int. J. Numer. Methods Fluids 66, No. 4, 509-536 (2011). MSC: 76M22 76A05 PDFBibTeX XMLCite \textit{A. Mohammadi} et al., Int. J. Numer. Methods Fluids 66, No. 4, 509--536 (2011; Zbl 1322.76046) Full Text: DOI
Nandeppanavar, Mahantesh M.; Subhas Abel, M.; Vajravelu, K. Flow and heat transfer characteristics of a viscoelastic fluid in a porous medium over an impermeable stretching sheet with viscous dissipation. (English) Zbl 1197.80019 Int. J. Heat Mass Transfer 53, No. 21-22, 4707-4713 (2010). MSC: 80A20 76A10 76S05 PDFBibTeX XMLCite \textit{M. M. Nandeppanavar} et al., Int. J. Heat Mass Transfer 53, No. 21--22, 4707--4713 (2010; Zbl 1197.80019) Full Text: DOI
Mukhopadhyay, S.; Usha, R.; Tulapurkara, E. G. Numerical study of concentrated fluid-particle suspension flow in a wavy channel. (English) Zbl 1158.76444 Int. J. Numer. Methods Fluids 59, No. 10, 1125-1155 (2009). MSC: 76T20 76M12 PDFBibTeX XMLCite \textit{S. Mukhopadhyay} et al., Int. J. Numer. Methods Fluids 59, No. 10, 1125--1155 (2009; Zbl 1158.76444) Full Text: DOI
Zacharioudaki, Maria; Kouris, Charalampos; Dimakopoulos, Yannis; Tsamopoulos, John A direct comparison between volume and surface tracking methods with a boundary-fitted coordinate transformation and third-order upwinding. (English) Zbl 1388.76219 J. Comput. Phys. 227, No. 2, 1428-1469 (2007). MSC: 76M20 65M06 76T99 PDFBibTeX XMLCite \textit{M. Zacharioudaki} et al., J. Comput. Phys. 227, No. 2, 1428--1469 (2007; Zbl 1388.76219) Full Text: DOI
Momeni-Masuleh, S. H.; Phillips, T. N. Viscoelastic flow in an undulating tube using spectral methods. (English) Zbl 1086.76057 Comput. Fluids 33, No. 8, 1075-1095 (2004). MSC: 76M22 76A10 PDFBibTeX XMLCite \textit{S. H. Momeni-Masuleh} and \textit{T. N. Phillips}, Comput. Fluids 33, No. 8, 1075--1095 (2004; Zbl 1086.76057) Full Text: DOI
Kouris, Charalampos; Dimakopoulos, Yannis; Georgiou, Georgios; Tsamopoulos, John Comparison of spectral and finite element methods applied to the study of the core-annular flow in an undulating tube. (English) Zbl 1094.76537 Int. J. Numer. Methods Fluids 39, No. 1, 41-73 (2002). MSC: 76M10 76M22 76D05 PDFBibTeX XMLCite \textit{C. Kouris} et al., Int. J. Numer. Methods Fluids 39, No. 1, 41--73 (2002; Zbl 1094.76537) Full Text: DOI
Chauvière, Cédric; Owens, Robert G. A new spectral element method for the reliable computation of viscoelastic flow. (English) Zbl 0987.76071 Comput. Methods Appl. Mech. Eng. 190, No. 31, 3999-4018 (2001). MSC: 76M22 76A10 PDFBibTeX XMLCite \textit{C. Chauvière} and \textit{R. G. Owens}, Comput. Methods Appl. Mech. Eng. 190, No. 31, 3999--4018 (2001; Zbl 0987.76071) Full Text: DOI
Bogaerds, Arjen C. B.; Verbeeten, Wilco M. H.; Peters, Gerrit W. M.; Baaijens, Frank P. T. 3D viscoelastic analysis of a polymer solution in a complex flow. (English) Zbl 0966.76007 Comput. Methods Appl. Mech. Eng. 180, No. 3-4, 413-430 (1999). MSC: 76A10 76M10 82D60 PDFBibTeX XMLCite \textit{A. C. B. Bogaerds} et al., Comput. Methods Appl. Mech. Eng. 180, No. 3--4, 413--430 (1999; Zbl 0966.76007) Full Text: DOI
Phillips, Timothy N.; Owens, Robert G. A mass conserving multi-domain spectral collocation method for the Stokes problem. (English) Zbl 0904.76063 Comput. Fluids 26, No. 8, 825-840 (1997). MSC: 76M25 76D07 PDFBibTeX XMLCite \textit{T. N. Phillips} and \textit{R. G. Owens}, Comput. Fluids 26, No. 8, 825--840 (1997; Zbl 0904.76063) Full Text: DOI
Souvaliotis, Athanassios; Beris, Antony N. Spectral collocation/domain decomposition method for viscoelastic flow simulations in model porous geometries. (English) Zbl 0866.76071 Comput. Methods Appl. Mech. Eng. 129, No. 1-2, 9-28 (1996). MSC: 76M25 76A10 76S05 65N35 PDFBibTeX XMLCite \textit{A. Souvaliotis} and \textit{A. N. Beris}, Comput. Methods Appl. Mech. Eng. 129, No. 1--2, 9--28 (1996; Zbl 0866.76071) Full Text: DOI
Brown, R. A.; Szady, M. J.; Northey, P. J.; Armstrong, R. C. On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations. (English) Zbl 0785.76039 Theor. Comput. Fluid Dyn. 5, No. 2-3, 77-106 (1993). Reviewer: Th.Sonar (Stuttgart) MSC: 76M10 76A10 65M12 PDFBibTeX XMLCite \textit{R. A. Brown} et al., Theor. Comput. Fluid Dyn. 5, No. 2--3, 77--106 (1993; Zbl 0785.76039) Full Text: DOI
Mavrantzas, V. G.; Souvaliotis, A.; Beris, A. N. Pseudospectral calculations of stress-induced concentration changes in viscometric flows of polymer solutions. (English) Zbl 0783.76077 Theor. Comput. Fluid Dyn. 5, No. 1, 3-31 (1993). MSC: 76M25 76A05 76A10 65N35 PDFBibTeX XMLCite \textit{V. G. Mavrantzas} et al., Theor. Comput. Fluid Dyn. 5, No. 1, 3--31 (1993; Zbl 0783.76077) Full Text: DOI
Shaqfeh, Eric S. G.; Koch, Donald L. Polymer stretch in dilute fixed beds of fibres or spheres. (English) Zbl 0806.76009 J. Fluid Mech. 244, 17-54 (1992). Reviewer: S.Han (Chengdu) MSC: 76A99 76M35 PDFBibTeX XMLCite \textit{E. S. G. Shaqfeh} and \textit{D. L. Koch}, J. Fluid Mech. 244, 17--54 (1992; Zbl 0806.76009) Full Text: DOI
Rajagopalan, Dilip; Phillips, Ronald J.; Armstrong, Robert C.; Brown, Robert A.; Bose, Arijit The influence of viscoelasticity on the existence of steady solutions in two-dimensional rimming flow. (English) Zbl 0850.76038 J. Fluid Mech. 235, 611-642 (1992). MSC: 76A10 76M10 PDFBibTeX XMLCite \textit{D. Rajagopalan} et al., J. Fluid Mech. 235, 611--642 (1992; Zbl 0850.76038) Full Text: DOI
Pilitsis, Stergios; Beris, Antony N. Pseudospectral calculations of viscoelastic flow in a periodically constricted tube. (English) Zbl 0825.76612 Comput. Methods Appl. Mech. Eng. 98, No. 3, 307-328 (1992). MSC: 76M25 76A10 65M70 PDFBibTeX XMLCite \textit{S. Pilitsis} and \textit{A. N. Beris}, Comput. Methods Appl. Mech. Eng. 98, No. 3, 307--328 (1992; Zbl 0825.76612) Full Text: DOI
Phan-Thien, N.; Zheng, R. Viscoelastic flow in a curved channel: A similarity solution for the Oldroyd-B fluid. (English) Zbl 0726.76013 Z. Angew. Math. Phys. 41, No. 6, 766-781 (1990). MSC: 76A10 76M20 PDFBibTeX XMLCite \textit{N. Phan-Thien} and \textit{R. Zheng}, Z. Angew. Math. Phys. 41, No. 6, 766--781 (1990; Zbl 0726.76013) Full Text: DOI