Basic viscoelastic fluid flow problems using the Jeffreys model

Khadrawi, A. F.; Al‐Nimr, M. A.; Othman, Ali M.

doi:10.1016/j.ces.2005.07.006

Cited by 25 publications

(8 citation statements)

References 12 publications

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“…The before-mentioned fluids produce a wide range of products, such as starch suspensions, paints, thermoplastics, and so forth, which do not obey Newton's viscous law. Khadrawi et al 13 found semi-analytical solutions. Also, examined velocity and shear-type driving forces for Couette flow, transient Poiseuille, and wind-driven flow in parallel plates and a finite domain, respectively, with the impact of the Jeffrey fluid model.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic nanofluid motion for Homann stagnation-region with thermal radiation characteristics

Khan

Sarfraz

Ahmad

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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The problem of Jeffrey’s nanofluid for a modification of Homann’s exterior potential flow in the stagnation region is modeled over a cylindrical disk. The characteristic of electrically conducting nanofluid flow with a time-independent free stream is noted as well. Due to this, a new family of asymmetric flows is created, which mainly depends on the viscoelastic parameter [Formula: see text] magnetic parameter [Formula: see text] and the stress-to strain rate ratio, i.e., [Formula: see text] By deploying Buongiorno’s model and Rosseland’s approximation, the outcomes of the Brownian diffusion, thermophoresis, and solar radiation on the mass and thermal boundary layer are also scrutinized. The conservation laws are remodeled by a similarity transformation, and the governing equations are solved by a builtin program bvp4c in Matlab. Furthermore, a comparison is made between the numerical outcomes and their large- γ asymptotics for wall stresses and displacement thicknesses. It is discovered that due to the impact of Jeffrey’s material parameters and magnetic field, when [Formula: see text] reaches infinity, along the x-axis the two-dimensional displacement thickness and the coefficient of skin friction are closer to their asymptotic values; however, along the y-axis, they exhibit opposite trend. Moreover, the thermal and mass transport is enhanced due to significant contributions of nanofluid conductivity.

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Section: Introductionmentioning

confidence: 99%

Viscoelastic nanofluid motion for Homann stagnation-region with thermal radiation characteristics

Khan

Sarfraz

Ahmad

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Polymeric liquids, colloids and many biofluids are viscoelastic [1][2][3][4][5] and exhibits extraordinary flow behaviors, not existing in Newtonian fluids, such as rod-climbing, shear thinning or pseudoplastic behavior, secondary flow in straight non-circular channels and elastic recoil [6]. Adopting appropriate constitutive equations these exotic flow behaviors can be modeled and predicted reasonably using various numerical methods [7].…”

Section: Introductionmentioning

confidence: 99%

Investigation of structural parameters of dilute polymer solutions using velocity measurements

Park

Choi

2009

Journal of Non-Newtonian Fluid Mechanics

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“…Analysis of the Poiseuille flow of viscoelastic fluids has attracted noticeable attention in the past two decades for this type of flow (i) allows constitutive models to be tested under a spatially inhomogeneous deformation program, and (ii) reveals a number of interesting phenomena (melt fracture, wall slip, secondary flows) whose modeling remains a subject of debate [23][24][25][26]. Poiseuille flow has been investigated in [27][28][29] for polymer fluids described by simple differential models in nonlinear viscoelasticity, in [30] for the Wagner model, in [31,32] for the Johnson-Segalman model, in [33][34][35][36] for the Giesekus model, in [36,37] for the Leonov model, in [38] for the Phan-Thien-Tanner model, in [39,40] for the FENE model, in [41][42][43][44] for viscoelastic-plastic fluids, and in [45] for viscoelastic fluids with pressure-dependent viscosity. We concentrate on combined effects of temperature and pressure gradient on steady velocity profile.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Viscoelastic Response of Thermoplastic-Elastomer Melts

Drozdov

Jensen²,

Christiansen³

2010

AAMM

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Observations are reported on thermoplastic elastomer (ethylene-octene copolymer) melt in small-amplitude shear oscillatory tests and start-up shear tests with various strain rates in the interval of temperatures between 120 and 210 • C. Based on the concept of heterogeneous non-affine polymer networks, constitutive equations are developed for the thermo-mechanical behavior of a melt at threedimensional deformations with finite strains. Adjustable parameters in the stressstrain relations are found by fitting the experimental data. The model is applied to the analysis of Poiseuille flow. The effects of temperature and pressure gradient on the steady velocity profile are studied numerically.

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Basic viscoelastic fluid flow problems using the Jeffreys model

Cited by 25 publications

References 12 publications

Viscoelastic nanofluid motion for Homann stagnation-region with thermal radiation characteristics

Viscoelastic nanofluid motion for Homann stagnation-region with thermal radiation characteristics

Investigation of structural parameters of dilute polymer solutions using velocity measurements

Nonlinear Viscoelastic Response of Thermoplastic-Elastomer Melts

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