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Relevant bibliographies by topics / Phan-Thien Tanner

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Academic literature on the topic 'Phan-Thien Tanner'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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Journal articles on the topic "Phan-Thien Tanner"

1

Ferrás, L. L., M. L. Morgado, M. Rebelo, Gareth H. McKinley, and A. M. Afonso. "A generalised Phan–Thien—Tanner model." Journal of Non-Newtonian Fluid Mechanics 269 (July 2019): 88–99. http://dx.doi.org/10.1016/j.jnnfm.2019.06.001.

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2

Siddiqui, A. M., Ahsan Walait, T. Haroon, and Hameed Ashraf. "On the study of stationary points and uniform thickness of PTT fluid film on a vertically upward moving belt." Canadian Journal of Physics 94, no. 10 (2016): 982–91. http://dx.doi.org/10.1139/cjp-2014-0591.

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This paper investigates the thin film flow of Phan-Thien Tanner (PTT) fluid on a vertically moving belt. Three different models, namely, the upper convected Maxwell model (UCM), linear version of Phan-Thien Tanner model (LPTT), and exponential version of Phan-Thien Tanner model (EPTT), are taken into consideration. Exact expressions for velocity profiles, flow rates, average velocities, film thicknesses, shear stresses, and normal stresses are obtained. Special consideration is given to the predictions of stationary points in withdrawal of these fluids from the belt. It is observed that the stationary point of the UCM model lies closer to the free surface and the stationary point of the LPTT model lies in the middle of the stationary points of UCM and EPTT models. It is also observed that the stationary points tend to move towards the belt with the increase in Stokes number, Deborah number, and elongational parameter. Graphical results are also presented for various dimensionless flow parameters.

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3

Ribau, Ângela M., Luís L. Ferrás, Maria L. Morgado, Magda Rebelo, and Alexandre M. Afonso. "Semi-Analytical Solutions for the Poiseuille–Couette Flow of a Generalised Phan-Thien–Tanner Fluid." Fluids 4, no. 3 (2019): 129. http://dx.doi.org/10.3390/fluids4030129.

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This work presents new analytical and semi-analytical solutions for the pure Couette and Poiseuille–Couette flows, described by the recently proposed (Ferrás et al., A Generalised Phan-Thien–Tanner Model, JNNFM 2019) viscoelastic model, known as the generalised Phan-Thien–Tanner constitutive equation. This generalised version considers the Mittag–Leffler function instead of the classical linear or exponential functions of the trace of the stress tensor, and provides one or two new fitting constants in order to achieve additional fitting flexibility. The analytical solutions derived in this work allow a better understanding of the model, and therefore contribute to improve the modelling of complex materials, and will provide an interesting challenge to computational rheologists, to benchmarking and to code verification.

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4

Evans, J. D., and D. N. Sibley. "Re-entrant corner flow of Phan-Thien-Tanner fluids." PAMM 7, no. 1 (2007): 2100071–72. http://dx.doi.org/10.1002/pamm.200700960.

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5

Li, Xin Kai. "Non-Newtonian lubrication with the Phan-Thien–Tanner model." Journal of Engineering Mathematics 87, no. 1 (2013): 1–17. http://dx.doi.org/10.1007/s10665-013-9666-1.

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6

Faraz, Naeem, Yasir Khan, and Amna Anjum. "Mathematical modelling of unsteady fractional Phan Thien Tanner fluid." Alexandria Engineering Journal 59, no. 6 (2020): 4391–95. http://dx.doi.org/10.1016/j.aej.2020.07.045.

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7

Dietz, Wolfgang. "Polyester fiber spinning analyzed with multimode Phan Thien-Tanner model." Journal of Non-Newtonian Fluid Mechanics 217 (March 2015): 37–48. http://dx.doi.org/10.1016/j.jnnfm.2015.01.008.

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8

Palmer, A. S., and T. N. Phillips. "Numerical Approximation of the Spectra of Phan-Thien Tanner Liquids." Numerical Algorithms 38, no. 1 (2005): 133–53. http://dx.doi.org/10.1007/s11075-004-2862-3.

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Palmer, A. S., and T. N. Phillips. "Numerical approximation of the spectra of Phan-Thien Tanner liquids." Numerical Algorithms 38, no. 1-3 (2005): 133–53. http://dx.doi.org/10.1007/bf02810620.

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10

Huang, Hsin-Fu, and Cheng-Hung Yao. "Electrokinetic diffusioosmosis of viscoelastic Phan-Thien–Tanner liquids in slit microchannels." Journal of Non-Newtonian Fluid Mechanics 206 (April 2014): 1–10. http://dx.doi.org/10.1016/j.jnnfm.2014.01.006.

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Dissertations / Theses on the topic "Phan-Thien Tanner"

1

Palmer, Alison. "Linear stability analyses of Poiseuille flows of viscoelastic liquids." Thesis, Aberystwyth University, 2007. http://hdl.handle.net/2160/5f85cd3a-2209-4b34-8527-735b41fee8e4.

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The linear stability of the Giesekus and linear Phan-Thien Tanner (PTT) fluid models is investigated for a number of planar Poiseuille flows in single, double and triple layered configurations. The Giesekus and PTT models involve parameters that can be used to fit shear and extensional data, thus making them suitable for describing both polymer solutions and melts. The base flow is determined using a Chebyshev-tau method. The linear stability equations are also discretized using Chebyshev approximations to furnish a generalized eigenvalue problem which is then solved using the QZ-algorithm. The eigenspectra are shown to comprise of continuous parts and discrete parts. The theoretical and numerical results are validated for the Oldroyd-B model, which is a simplified case of the Giesekus and PTT models, by comparing with results in the literature. The continuous and discrete parts of the eigenspectra are determined using a purely numerical scheme to solve the discretized eigenvalue problem. The continuous spectra are then more accurately determined using a semi-analytical scheme which uses an analytical solution of the Orr-Sommerfeld equation alongside a numerical solution for the base flow. A comprehensive survey of the effect of each shear thinning and extensional fluid parameter is undertaken and an instability is found for particular parameter values for the Giesekus fluid. A preliminary investigation of this instability is undertaken whereby the unstable discrete eigenvalue is investigated using an Orthonormal Runge-Kutta scheme within a shooting method which uses the results from the Chebyshev-QZ scheme as a starting point. The linear PTT fluid is found to be stable to infinitesimal disturbances within the range of shear-thinning and extensional parameters considered. The computational e ciency and accuracy of the numerical methods are also investigated.

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Book chapters on the topic "Phan-Thien Tanner"

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Rémy, B., T. Lamquin, and B. Bou-Saïd. "The Modified Phan-Thien and Tanner model applied to turbochargers thrust bearing." In 11th International Conference on Turbochargers and Turbocharging. Elsevier, 2014. http://dx.doi.org/10.1533/978081000342.449.

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Conference papers on the topic "Phan-Thien Tanner"

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Letelier, Mario F., Mauricio Acosta, Juan Co´rdova, and Dennis A. Siginer. "Steady Secondary Flows of Phan-Thien-Tanner Fluids in the Vicinity of a Corner." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32233.

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Secondary flows of Phan-Thien-Tanner fluids in channels formed by two intersecting walls, and driven by a pressure gradient parallel to the intersection line, are studied by means of perturbation analysis, where the perturbing parameter is the relaxation time. The velocity field is analysed in relation to the opening angle and distance from the corner within the fluid region. An analytically exact solution is found at 0(λ3), through the mathematical structure of which is possible to draw some general and important conclusions about the dynamics of the transversal flow. Such results are of potential interest in the design of devices aimed at exploiting the transport capacity of secondary flows.

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Letelier, Mario F., Dennis A. Siginer, Gabriel Arriagada, and Amaru González. "Heat Transfer Optimization in Laminar Flow of Non-Linear Viscoelastic Fluids in Asymmetric Straight Ducts With Inclusions." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-70994.

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This paper presents the preliminary findings of an optimization study of transversal flow strength in tube cross-sections with arbitrary external contours and an internal inclusion. The eccentric tube contours are generated through a one-to-one mapping of a base circular cross-section. The working fluid obeys the non-linear modified Phan-Thien-Tanner (MPTT) constitutive model. The computation of the total transversal flow rate leads to the determination of effective cross-sections for heat transfer enhancement.

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Letelier, Mario F., Dennis A. Siginer, Sebastian Gutiérrez, Pablo Arratia, and Amaru González. "Viscoelastic Flow in Teardrop-Shaped Tubes: Transversal Field." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65436.

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We present an analytical study of secondary flows in tubes of teardrop shape for a viscoelastic fluid described by the Phan-Thien-Tanner (PPT) model. The analytical development is based on a one-to-one mapping (shape function) to describe the teardrop contour and the expansion of field variables into asymptotic series in terms of the Weissenberg number Wi. Secondary flows and the temperature field are determined solving the hierarchical set of equations resulting from the asymptotic series expansions.

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Letelier, Mario F., Dennis A. Siginer, Diego Contreras, Patricio Jacobs, and Cristian Barrera. "Heat Transfer in Laminar Flow With Elastoviscoplastic Fluids in Non-Circular Ducts." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71001.

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The interplay of yield stress and elasticity on the temperature field and heat transfer rates in tube flow of elastoviscoplastic (EVP) fluids is investigated in this paper. The constitutive structure of the EVP fluid obeys a linear combination of the Phan-Thien-Tanner model for viscoelastic fluids and the Bingham model for viscoplastic fluids. The momentum and energy equations are solved asymptotically under constant wall heat flux. The fluid behavior is governed by the Weissenberg Wi and the Bingham N numbers.

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Barrera H., Cristian, Mario F. Letelier, and Dennis A. Siginer. "A Solution of the Graetz Problem in Tubes of Arbitrary Cross-Section Shape for Viscoelastic Fluids." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-36245.

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The Graetz problem is addressed for the case of steady laminar flow of non-Newtonian fluids obeying the Modified Phan-Thien-Tanner Model (MPTT) in tubes of arbitrary cross-section. The method herein presented models the velocity and temperature fields so that the corresponding non-slip and thermal boundary conditions are met at the walls of the tube for a wide range of different shapes. The main results are the general temperature distribution for different duct geometries that include the triangular and square cases as particular examples.

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6

Letelier, Mario F., Nicolás Díaz, Dennis Siginer, and Ercio Báez. "Effect of Elasticity on Viscoplastic Flow." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65025.

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The effect of superimposing elasticity on a viscoplastic fluid (elasto-viscoplastic fluid) is investigated through a linear combination of the simplified Phan-Thien Tanner (SPTT) model of viscoelasticity and Bingham model of viscoplastic fluid. The equation of motion is solved for the case of parallel steady flow in tubes of non-circular cross-sections. The effect of elasticity on the evolution of plug and stagnant zones, and rate of flow in terms of the Weissenberg number, a material parameter in the SPTT model, and the Bingham number is investigated. We find that elasticity tends to enhance the rate of flow for given viscoplastic conditions.

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7

Abdelkader, Filali, Lyes Khezzar, Dennis A. Siginer, and Zoubir Nemouchi. "Graetz Problem in Ducts of Circular and Some Non-Circular Cross-Sections With Viscoelastic Fluids." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-62210.

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An investigation of heat transfer with viscoelastic fluids in straight pipes of circular and some non-circular cross-sections is carried out. The influence of the rheological parameters on heat transfer enhancement with viscoelastic fluids in the entrance region of tube flow is investigated with negligible axial heat conduction and viscous dissipation. Numerical simulations are conducted with constant wall heat flux for the Graetz problem using the finite element based software Polyflow for viscoelastic fluids of the simplified Phan-Thien Tanner (SPPT) type. It is found that increasing the fluid elasticity, for all cross-sections, raises the normalized heat transfer coefficient for relatively low elasticity values but for high level of fluid elasticity the normalized heat transfer coefficient decreases.

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8

Letelier, Mario F., Fernando N. Zapata, Dennis A. Siginer, and Juan Stockle. "Analysis of Secondary Flows and Heat Transfer in Viscoelastic Flow With Viscous Dissipation in Non-Circular Tubes." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-85403.

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The steady laminar non-isothermal flow of a non-linear viscoelastic fluid in tubes or arbitrary contour is analyzed under constant wall heat flux. Viscous dissipation is taken into account. Non-linear viscoelastic behavior is modeled by means of the Phan-Thien-Tanner model. The equations of motion and energy are solved analytically through a perturbation approach coupled with a one-to-one mapping of the boundary to map the circular shape into various axially symmetric cross-sectional shapes with the Weissenberg number as the perturbation parameter Longitudinal and transversal velocity components are determined for several cross-sectional shapes, for which the temperature field and the Nusselt number variation with the Prandtl, Brinkman and Reynolds numbers are computed.

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9

Tichy, John, and Benyebka Bou-Sai¨d. "The PTT Model in Hip Joint Replacement: Shock Loading." In World Tribology Congress III. ASMEDC, 2005. http://dx.doi.org/10.1115/wtc2005-63979.

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The Phan-Thien Tanner (PTT) model is one of the most widely used rheological models. It can properly describe all the common characteristics of viscoelastic non-Newtonian fluids. Synovial fluid of human joints, which also lubricates artificial joints, is well known to be highly viscoelastic. Thus it is reasonable to attempt to describe such joint behavior using non-Newtonian flow models. Modeling the geometry of the total hip replacement, the PTT model is applied in spherical coordinates to a thin confined fluid film. As an illustrative problem, the case of a sudden impulsive start of simple squeezing motion is solved, similar to landing on one’s feet after a vertical jump. The phenomena of shear thinning, stress relaxation, and stress overshoot are all exhibited.

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10

Letelier, Mario, Dennis A. Siginer, Diego L. Almendra, and Juan Stockle. "Secondary Flows in Eccentric-Annular Tubes." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11548.

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Abstract In this paper, transversal flow field of nonlinear viscoelastic fluids abiding by the modified-Phan-Thien-Tanner (MPTT) constitutive model in straight tubes of eccentric-annular cross-section is investigated. An analytical solution is developed based on an asymptotic expansion in terms of the Weissenberg number coupled with the shape factor method a one-to-one mapping taking the circular cross-section into the eccentric annular cross section. The analysis reveals the formation of transversal flows due to elasticity and to the eccentricity parameter. The number of vortices in the cross-section depends on the ratio of the diameters in addition to the eccentricity parameter. The effect of these parameters on the vortical structure is explored for different values of the material parameters.

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