Abstract:
An exact analytic solution of the problem of a generalized viscoelastic Jeffreys fluid flow in a plane channel under the action of a pressure gradient is found. The velocity profiles are obtained in a parametric form with a velocity gradient taken as a parameter. The critical values of the pressure gradient are determined, which, when exceeded, lead to weak tangential discontinuities in the longitudinal velocity profile. When the pressure gradient changes smoothly over some range of parameters, a hysteresis loop emerges on the graph of the flow rate versus the pressure gradient.
Citation:
S. N. Aristov, O. I. Skul'skiy, “Exact solution of the problem on a six-constant Jeffreys model of fluid in a plane channel”, Prikl. Mekh. Tekh. Fiz., 43:6 (2002), 39–45; J. Appl. Mech. Tech. Phys., 43:6 (2002), 817–822
\Bibitem{AriSku02}
\by S.~N.~Aristov, O.~I.~Skul'skiy
\paper Exact solution of the problem on a six-constant Jeffreys model of fluid in a plane channel
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2002
\vol 43
\issue 6
\pages 39--45
\mathnet{http://mi.mathnet.ru/pmtf2688}
\elib{https://elibrary.ru/item.asp?id=17274728}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2002
\vol 43
\issue 6
\pages 817--822
\crossref{https://doi.org/10.1023/A:1020752101539}
Linking options:
https://www.mathnet.ru/eng/pmtf2688
https://www.mathnet.ru/eng/pmtf/v43/i6/p39
This publication is cited in the following 15 articles:
Safia Akram, Maria Athar, Khalid Saeed, Arshad Riaz, Alia Razia, Ghaliah Alhamzi, “Numerical simulation of double diffusion convection in a six-constant Jeffreys nanofluid with an inclined magnetic field and viscous dissipation: Multiple slips and thermal radiation analysis with peristalsis”, AIP Advances, 14:7 (2024)
Sameh A. Hussein, Sameh E. Ahmed, Anas A. M. Arafa, “Numerical treatment of thermal and concentration convection along with induced magnetic field on peristaltic pumping of a magnetic six-constant Jeffrey nanofluid through a vertical divergent channel”, Numerical Heat Transfer, Part A: Applications, 84:8 (2023), 877
Safia Akram, Maria Athar, Khalid Saeed, “Numerical simulation of effects of Soret and Dufour parameters on the peristaltic transport of a magneto six-constant Jeffreys nanofluid in a non-uniform channel: a bio-nanoengineering model”, Eur. Phys. J. Spec. Top., 231:3 (2022), 535
Maria Athar, Yasir Khan, Safia Akram, Khalid Saeed, A. Alameer, Anwar Hussain, Lingzhong Guo, “Consequence of Double-Diffusion Convection and Partial Slip on Magneto-Oldroyd-4 Constants Nanofluids with Peristaltic Propulsion in an Asymmetric Channel”, Complexity, 2022 (2022), 1
Safia Akram, Maria Athar, Khalid Saeed, Alia Razia, Taseer Muhammad, “Theoretical investigation of double diffusion convection of six constant Jeffreys nanofluid on waves of peristaltic with induced magnetic field: a bio-nano-engineering model”, Waves in Random and Complex Media, 2022, 1
Khalid Saeed, Safia Akram, Adeel Ahmad, Maria Athar, Muhammad Imran, Taseer Muhammad, “Impact of partial slip on double diffusion convection and inclined magnetic field on peristaltic wave of six-constant Jeffreys nanofluid along asymmetric channel”, Eur. Phys. J. Plus, 137:3 (2022)
O. I. Skul'skiy, “Rheometric Flows of Concentrated Suspensions of Solid Particles”, J Appl Mech Tech Phy, 62:7 (2021), 1165
O.I. Skul'skiy, “Rheometric flows of concentrated suspensions of solid particles”, Comp. Contin. Mech., 13:3 (2020), 269
J. Prakash, N. Balaji, E. P. Siva, A. D. Chanrasekaran, THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS, 2112, THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS, 2019, 020048
Noreen Sher Akbar, “Numerical and analytical simulation of peristaltic flow of a Jeffrey-six constant fluid”, Applicable Analysis, 94:7 (2015), 1420
Noreen Sher Akbar, S. Nadeem, “Endoscopic Effects on the Peristaltic Flow of a Jeffrey Six-Constant Fluid Model with Variable Viscosity”, J. Aerosp. Eng., 26:3 (2013), 535
Noreen Sher Akbar, S. Nadeem, “Thermal and velocity slip effects on the peristaltic flow of a six constant Jeffrey's fluid model”, International Journal of Heat and Mass Transfer, 55:15-16 (2012), 3964
S. Nadeem, Noreen Sher Akbar, M.Y. Malik, Changhoon Lee, “Peristaltic flow of a Jeffrey‐six constant fluid in a uniform inclined tube”, Numerical Methods in Fluids, 69:9 (2012), 1550
S. Nadeem, Noreen Sher Akbar, “Influence of heat and mass transfer on a peristaltic motion of a Jeffrey-six constant fluid in an annulus”, Heat Mass Transfer, 46:5 (2010), 485
S. Nadeem, Noreen Sher Akbar, “Effects of temperature dependent viscosity on peristaltic flow of a Jeffrey-six constant fluid in a non-uniform vertical tube”, Communications in Nonlinear Science and Numerical Simulation, 15:12 (2010), 3950
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