Relevant bibliographies by topics / Oldroyd-B fluid

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Oldroyd-B fluid'

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Published: 4 June 2021
Last updated: 14 June 2025

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Journal articles on the topic "Oldroyd-B fluid"

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Lin, Wenqian, Peijie Zhang, and Jianzhong Lin. "Flow and Heat Transfer Property of Oldroyd-B-Fluid-Based Nanofluids Containing Cylindrical Particles in a Pipe." Processes 9, no. 4 (2021): 647. http://dx.doi.org/10.3390/pr9040647.

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Flow and heat transfer property of Oldroyd-B-fluid-based nanofluids containing cylindrical particles are studied in a pipe with circular cross-section in the range of Reynolds number (Re) from 100 to 2000, Weissenberg number (We) from 0.1 to 2, particle aspect ratio (β) from 2 to 16 and particle volume concentration (Φ) from 0.1% to 2.5%. The motion equation of Oldroyd-B fluid with particles, the equation for probability density function of particle orientation and convection-diffusion equation for particles are solved numerically. The numerical method used in the simulation is validated by comparing with the available results. The effects of Re, We, β and Φ on the friction factor (f), Nusselt number (Nu) and ratio of energy performance evaluation criterion (PECt/PECf) for Oldroyd-B-fluid-based nanofluids to that for Oldroyd-B fluids are discussed. The results showed that the values of f and Nu of Oldroyd-B-fluid-based nanofluids are larger than that of water-based nanofluids and that of pure Oldroyd-B fluids. The values of f increase with increasing Re, We and Φ, but with decreasing β. The values of Nu and PECt/PECf are enhanced with increasing Re, We, β and Φ. The increase of f is larger than that of Nu at lower Re, but is less than that of Nu at higher Re. It is more effective to use Oldroyd-B-fluid-based nanofluids with cylindrical nanoparticles to improve the heat transfer at the conditions of higher Re, We, β and Φ. Finally, the correlation formula of PECt/PECf as a function of Re, We, β and Φ is derived.
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Jamil, Muhammad, Alam Khan, and Nazish Shahid. "Fractional magnetohydrodynamics Oldroyd-B fluid over an oscillating plate." Thermal Science 17, no. 4 (2013): 997–1011. http://dx.doi.org/10.2298/tsci110731140j.

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This paper presents some new exact solutions corresponding to the oscillating flows of a MHD Oldroyd-B fluid with fractional derivatives. The fractional calculus approach in the governing equations is used. The exact solutions for the oscillating motions of a fractional MHD Oldroyd-B fluid due to sine and cosine oscillations of an infinite plate are established with the help of discrete Laplace transform. The expressions for velocity field and the associated shear stress that have been obtained, presented in series form in terms of Fox H functions, satisfy all imposed initial and boundary conditions. Similar solutions for ordinary MHD Oldroyd-B, fractional and ordinary MHD Maxwell, fractional and ordinary MHD Second grade and MHD Newtonian fluid as well as those for hydrodynamic fluids are obtained as special cases of general solutions. Finally, the obtained solutions are graphically analyzed through various parameters of interest.
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Zhuo, Jingxuan, Ricardo Cortez, and Robert Dillon. "Lagrangian Mesh Model with Regridding for Planar Poiseuille Flow." Communications in Computational Physics 22, no. 1 (2017): 112–32. http://dx.doi.org/10.4208/cicp.oa-2016-0109.

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AbstractMany biological settings involve complex fluids that have non-Newtonian mechanical responses that arise from suspended microstructures. In contrast, Newtonian fluids are liquids or mixtures of a simple molecular structure that exhibit a linear relationship between the shear stress and the rate of deformation. In modeling complex fluids, the extra stress from the non-Newtonian contribution must be included in the governing equations.In this study we compare Lagrangian mesh and Oldroyd-B formulations of fluid-structure interaction in an immersed boundary framework. The start-up phase of planar Poiseuille flow between two parallel plates is used as a test case for the fluid models. For Newtonian and Oldroyd-B fluids there exist analytical solutions which are used in the comparison of simulation and theoretical results. The Lagrangian mesh results are compared with Oldroyd-B using comparable parameters. A regridding algorithm is introduced for the Lagrangian mesh model. We show that the Lagrangian mesh model simulations with regridding produce results in close agreement with the Oldfoyd-B model.
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VIERU, D., and I. SIDDIQUE. "AXIAL FLOW OF SEVERAL NON-NEWTONIAN FLUIDS THROUGH A CIRCULAR CYLINDER." International Journal of Applied Mechanics 02, no. 03 (2010): 543–56. http://dx.doi.org/10.1142/s1758825110000640.

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The velocity field, the longitudinal and the normal tensions corresponding to the axial flow of an Oldroyd-B fluid due to an infinite circular cylinder subject to a longitudinal time-dependent stress are determined by means of the Laplace and finite Hankel transforms. The similar solutions for Maxwell, second grade or Newtonian fluids have been obtained as particular cases of the solutions for Oldroyd-B fluids. Finally, by using dimensionless variables, some characteristics of the motion as well as the influence of the material parameters on the behavior of fluid are shown by graphical illustrations.
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Khan, I., M. Imran, and K. Fakhar. "New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium." International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–12. http://dx.doi.org/10.1155/2011/408132.

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New exact solutions for unsteady magnetohydrodynamic (MHD) flows of an Oldroyd-B fluid have been derived. The Oldroyd-B fluid saturates the porous space. Two different flow cases have been considered. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique. The corresponding solutions for hydrodynamic Oldroyd-B fluid in a nonporous space appeared as the limiting cases of the obtained solutions. Similar solutions for MHD Newtonian fluid passing through a porous space are also recovered. Graphs are sketched for the pertinent parameters. It is found that the MHD and porosity parameters have strong influence on velocity and shear stress fields.
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Hayat, T., K. Hutter, S. Asghar, and A. M. Siddiqui. "MHD flows of an Oldroyd-B fluid." Mathematical and Computer Modelling 36, no. 9-10 (2002): 987–95. http://dx.doi.org/10.1016/s0895-7177(02)00252-2.

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Gupta, R. K., J. Puszynski, and T. Sridhar. "Steady spinning of the oldroyd fluid B." Journal of Non-Newtonian Fluid Mechanics 21, no. 1 (1986): 99–113. http://dx.doi.org/10.1016/0377-0257(86)80065-9.

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Martinez-Mardones, J., R. Tiemann, and W. Zeller. "Convection in Oldroyd-B fluid: Amplitude equation." Chaos, Solitons & Fractals 6 (January 1995): 341–45. http://dx.doi.org/10.1016/0960-0779(95)80039-j.

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Hayat, T., S. Zaib, S. Asghar, and A. A. Hendi. "Exact solutions in generalized Oldroyd-B fluid." Applied Mathematics and Mechanics 33, no. 4 (2012): 411–26. http://dx.doi.org/10.1007/s10483-012-1560-7.

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Tahir, Madeeha, Muhammad Nawaz Naeem, Maria Javaid, et al. "Unsteady flow of fractional Oldroyd-B fluids through rotating annulus." Open Physics 16, no. 1 (2018): 193–200. http://dx.doi.org/10.1515/phys-2018-0028.

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AbstractIn this paper exact solutions corresponding to the rotational flow of a fractional Oldroyd-B fluid, in an annulus, are determined by applying integral transforms. The fluid starts moving aftert= 0+when pipes start rotating about their axis. The final solutions are presented in the form of usual Bessel and hypergeometric functions, true for initial and boundary conditions. The limiting cases for the solutions for ordinary Oldroyd-B, fractional Maxwell and Maxwell and Newtonian fluids are obtained. Moreover, the solution is obtained for the fluid when one pipe is rotating and the other one is at rest. At the end of this paper some characteristics of fluid motion, the effect of the physical parameters on the flow and a correlation between different fluid models are discussed. Finally, graphical representations confirm the above affirmation.
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Dissertations / Theses on the topic "Oldroyd-B fluid"

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Vundla, Nkosilathi. "Numerical modelling of the Oldroyd-B fluid." Master's thesis, Faculty of Engineering and the Built Environment, 2019. http://hdl.handle.net/11427/30996.

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The purpose of this thesis is to develop a 3D finite element model of the Oldroyd-B fluid for use in a complex geometry. The model is developed in deal.ii, which is a C++ finite element library. In addition to the standard finite element approach for the momentum equation, the discontinuous Galerkin method is used for the constitutive relation of the fluid model, with the extra stress as the unknown variable. The model developed is verified by using the symmetric “flow over a cylinder” benchmark problem. The effect of using piecewise-constant discontinuous and bilinear discontinuous elements for the extra stress field is investigated. The the results of the scheme are compared to those found in literature. The model is implemented in the solution of a complex problem of blood flow in an arteriovenous fistula, using geometry acquired from MRI data. A resistance boundary condition is used for the outlets. The flow profiles obtained from using both the Newtonian and Oldroyd-B fluids are validated against velocity encoded MRI and also compared to Fluid-Structure Interaction results for Newtonian fluids, from the literature. The effect of using a viscoelastic fluid on the flow profile and wall shear stresses are investigated. The results from this work show that using a viscoelastic fluid, rather than a Newtonian fluid, provides additional details regarding the wall shear stress in the arteriovenous fistula.
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Donev, Ivajlo Georgiev. "Time dependent finite element simulations of a generalized Oldroyd-B fluid." Master's thesis, University of Cape Town, 2014. http://hdl.handle.net/11427/6569.

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Meng, Sha. "A spectral element method for viscoelastic fluid flow." Thesis, De Montfort University, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.369907.

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Karra, Satish. "Modeling electrospinning process and a numerical scheme using Lattice Boltzmann method to simulate viscoelastic fluid flows." [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1347.

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Nicknich, Gustavo. "Análise do desempenho numérico do Solver viscoelasticFluidFoam." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2014. http://hdl.handle.net/10183/103718.

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Polímeros sintéticos ocupam uma posição de grande importância no estilo de vida moderno, servindo como matérias-primas para a construção de uma variedade de utensílios. Apesar do grande número de operações de processamento e produtos disponíveis, o planejamento de produtos e a otimização dos processos de produção raramente constituem-se de tarefas triviais. Isso deve-se ao fato da maioria das operações aplicadas na indústria de processamento de polímeros envolverem geometrias e padrões de escoamento complexos, além da dificuldade intrínseca relacionada ao comportamento reológico complexo de polímeros fundidos ou soluções poliméricas. Devido a estes fatores, o desenvolvimento de técnicas de dinâmica de fluido computacional (computational fluid dynamics – CFD) para a simulação de escoamentos de fluidos poliméricos e etapas de operações de processamento tem sido assunto de numerosos estudos durante as últimas décadas. Sob esta perspectiva, o solver viscoelasticFluidFoam, merece destaque. Ele é capaz de resolver simulações de escoamentos de fluidos viscoelásticos utilizando diferentes equações constitutivas. Contudo, apesar de resultados existentes na literatura apresentarem um bom potencial de aplicação, uma análise extensiva de seu desempenho numérico ainda não foi realizada. Neste contexto, a proposta do presente trabalho é a análise da influência de parâmetros de malha, numéricos e constitutivos no comportamento do solver. As bases para os testes compreendem uma geometria simples – escoamento laminar entre duas placas paralelas – o modelo constitutivo de Oldroyd-B e respectivas soluções analíticas para os campos de velocidade e tensão. Mesmo os testes demonstrando a inegável versatilidade do solver, eles revelam limitações em lidar com algumas configurações de malha e parâmetros constitutivos, principalmente com relação ao refinamento na direção perpendicular ao escoamento, diminuição do número de Reynolds e aumento do número de Weisenberg. Estas limitações podem ser parcialmente contornadas com escolha adequada de parâmetros de relaxação das variáveis e da razão de aspecto dos volumes de controle. Tais dificuldades não estão presentes em simulações de escoamentos de fluidos newtonianos em condições semelhantes, sugerindo que trabalhos futuros devem focar em implementações mais robustas do solver viscoelasticFluidFoam.
Synthetic polymers hold a position of great importance in modern lifestyle, serving as raw materials for the construction of a wide variety of appliances. Despite the large number of processing operations and products available, product planning and optimization of production processes rarely constitute a trivial task. This is due to the fact of operations applied in polymer processing industry involve complex geometries and flow patterns, plus the intrinsic difficulty related to the molten polymers or polymer solutions complex rheological behavior. Because of these factors, the development of techniques of computational fluid dynamics (CFD) for the simulation of flows of polymeric fluids and stages of processing operations has been the subject of numerous studies during the last decades. From this perspective, the viscoelasticFluidFoam solver deserves mention. The solver is capable of resolving simulations of viscoelastic fluid flows using different constitutive equations. However, despite the existing results in the literature present a great potential for application, an extensive analysis of their numerical performance has not been performed yet. The purpose of this paper is to examine the influence of mesh, numerical and constitutive parameters in the behavior of the solver. Bases for the tests comprise a simple geometry – laminar flow between two parallel plates – the constitutive model of Oldroyd-B and its analytical solutions for the velocity and stress fields. Although the tests show the undeniable versatility of the solver, they also reveal limitations in dealing with some mesh settings and constitutive parameters, particularly with respect to refinement in the direction perpendicular to the flow, decreasing in the Reynolds number and increasing in the Weisenberg number. This limitation can be partially circumvented with proper choice of variables relaxation parameters and aspect ratio of the control volumes. Such difficulties are not present in simulations of Newtonian fluids flows under similar conditions, suggesting that future works should focus on more robust implementations of the viscoelasticFluidFoam solver.
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O'Byrne, Aidan. "Re-entrant corner flows of Oldroyd-B fluids." Thesis, University of Bath, 2010. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.538559.

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Martins, Renato da Rosa. "Modelagem e aproximação estabilizada de elementos finitos para escoamentos viscoplásticos sujeitos a efeitos elásticos no interior de cavidades." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2013. http://hdl.handle.net/10183/87338.

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Escoamentos sem inércia de fluido elasto-viscoplástico, dentro de uma cavidade, são numericamente analisados. As soluções visam compreender a influência dos efeitos viscosos e elásticos na topologia de superfícies de escoamento. Assumindo-se que o colapso da microestrutura do material é instantâneo, o modelo mecânico é constituído pelas equações governantes de massa e momentum para fluidos incompressíveis, associado a uma equação hiperbólica para o tensor tensão extra, baseado na equação do modelo Oldroyd-B (Nassar et al, 2011). A principal característica do modelo é considerar a viscosidade e o tempo de relaxação como função da taxa de deformação, permitindo a pseudoplasticidade de viscosidade e restringindo os efeitos elásticos para as regiões não deformadas do material. As simulações numéricas são realizadas através do método de Galerkin mínimos quadrados a três campos: tensor tensão extra, pressão e velocidade. Os resultados mostram que as superfícies de escoamento do material são fortemente influenciadas pela ação combinada entre os efeitos elásticos e viscosos, estando em conformidade com a recente visualização experimental dos fluxos elasto-viscoplásticos.
Elasto viscoplastic uid ows without inertia, within a cavity, are numerically analyzed. The solutions aim to understand the in uence of viscous and elastic e ects on the topology of yield surfaces. Assuming that the collapse of the material microstructure is instantaneous, the mechanical model consists of the governing equations of mass and momentum for incompressible uids, associated with a hyperbolic equation for the extra stress tensor, based on the equation of the Oldroyd-B model (Nassar et al, 2011). The main feature of model is to consider the viscosity and the relaxation time as a function of shear rate, allowing the shear-thinning of viscosity and restricting elastic e ects for regions not deformed material. Numerical simulations are performed by the method of Galerkin Least Squares to three elds: extra stress tensor, pressure and velocity. The results show that the yield surfaces of material are strongly in uenced by the combined action between the elastic and viscous e ects, complying with the recent experimental visualization of elasto-viscoplastic ows.
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Helal, Khalifa Mohammad. "Analysis and numerical simulations of oldroyd-B fluids flows." Master's thesis, Universidade de Évora, 2013. http://hdl.handle.net/10174/16392.

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Este trabalho tem como objectivo o estudo matem ático e num érico das equa ções que modelam fluidos estacion ários não-Newtonianos, viscoel ásticos, incompressiveis do tipo Oldroyd-B em dimensão 2. As equa ções constitutivas para os fluidos do tipo Oldroyd-B consistem num sistema fortemente não linear de equa ções diferenciais parciais (PDE) do tipo misto el íptico- hiperb óico. Os resultados num éricos são obtidos por uma t écnica de desacoplagem do sistema nos problemos Navier-Stokes e equação do transporte. O estudo de cada problema e dividido em três passos: a an álise matem ática das propriedades das solu ções tais como a existência e unicidade; a an álise num erica com resultados de existência e unicidade das solu ções aproximadas e de estimativas de erro a-priori; apresenta ção de simula ções num éricas de problemas benchmark bidimensionais. O objectivo deste trabalho consiste na aproximação da solução do problema do tipo Oldroyd-B pelo m étodo dos elementos finitos, usando elementos de Hood-Taylor para o sistema de Navier-Stokes e elementos P1 discontinuos para a equação do transporte e apresentar resultados de simula ção numérica no caso bidimensional; ABSTRACT: This work is concerned with the mathematical and numerical study of the equations that model incompressible non-Newtonian viscoelastic Oldroyd-B uids in dimension 2. The constitutive equations for the Oldroyd-B uids consist of highly nonlinear system of partial di erential equations (PDE) of combined elliptic-hyperbolic type. The numerical results are obtained by a technique of decoupling the system into a Navier-Stokes system and a tensorial transport equation. The study of each problem is divided into three parts: the mathematical analysis of the properties of the problem such as existence and uniqueness; the numerical analysis with results of existence and uniqueness of approximate solutions as well as a-priori error estimates are established; presentation of numerical simulations of two-dimensional benchmark problems. The purpose of this work is to approximate the solution of the Oldroyd-B problem by the nite elements method, using Hood-Taylor elements for the Navier-Stokes system and discontinuous P1 elements for the transport equation and to present the results of numerical simulations in two-dimensional case.
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Gervazoni, Ellen Silva [UNESP]. "Análise de estabilidade linear de escoamentos bidimensionais do Fluido Oldroyd-B." Universidade Estadual Paulista (UNESP), 2016. http://hdl.handle.net/11449/143463.

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Diversos escoamentos de interesse prático são de fluidos viscoelásticos e muitas vezes é desejável saber se estes escoamentos propagam-se no estado laminar ou no turbulento. Embora a hidrodinâmica de fluidos viscoelásticos sejam fortemente afetadas pelo balanço entre forças inerciais e elásticas no escoamento, o efeito da elasticidade sobre a estabilidade de escoamentos inerciais não foi completamente estabelecida. No presente trabalho, estuda-se o que ocorre entre estes dois estados, na transição laminar-turbulenta. Especi- ficamente, é investigada a convecção de ondas de Tollmien-Schlichting para o escoamento incompressível de Poiseuille para um fluido viscoelástico, utilizando a equação constitutiva Oldroyd-B. Para isto, utiliza-se a Simulação Numérica Direta para verificar a estabilidade dos escoamentos de fluidos viscoelásticos a perturbações não estacionárias. Os resultados numéricos obtidos para escoamentos de fluidos viscoelásticos são comparados com os resultados de escoamentos de fluidos Newtonianos, que já estão bem documentados na comunidade científica. Além disso, uma equação de Orr-Sommerfeld modificada é deduzida para um escoamento viscoelástico utilizando a Teoria de Estabilidade Linear.
Several flows of practical interest are of viscoelastic fluids and it is often desirable to know if these flows are in a laminar or turbulent state. Although the hydrodynamics of viscoelastic fluids are strongly affected by the balance between inertia and elastic forces in the flow, the effect of elasticity on the stability of inertial flows has not been completely established. In this work is studied what happens between these two states, the laminar-turbulent transition. Specifically, it will be investigated the convection of Tollmien-Schlichting waves to incompressible Poiseuille flow of viscoelastic fluid, using the constitutive equation Oldroyd-B. For this, the analysis is carried out by means of Direct Numerical Simulation to verify the stability of the non-stationary disturbances viscoelastic fluids flows. The numerical results obtained for viscoelastic fluids flows are compared with the results of Newtonian fluids flows, which are already well documented in scientific community. In addition, an Orr-Sommerfeld modified equation is deducted for a viscoelastic flow using Linear Stability Theory.
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Gervazoni, Ellen Silva. "Análise de estabilidade linear de escoamentos bidimensionais do Fluido Oldroyd-B /." Presidente Prudente, 2016. http://hdl.handle.net/11449/143463.

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Orientador: Analice Costacurta Brandi
Banca: Gilcilene Sanchez de Paulo
Banca: Leandro Franco de Souza
Resumo: Diversos escoamentos de interesse prático são de fluidos viscoelásticos e muitas vezes é desejável saber se estes escoamentos propagam-se no estado laminar ou no turbulento. Embora a hidrodinâmica de fluidos viscoelásticos sejam fortemente afetadas pelo balanço entre forças inerciais e elásticas no escoamento, o efeito da elasticidade sobre a estabilidade de escoamentos inerciais não foi completamente estabelecida. No presente trabalho, estuda-se o que ocorre entre estes dois estados, na transição laminar-turbulenta. Especi- ficamente, é investigada a convecção de ondas de Tollmien-Schlichting para o escoamento incompressível de Poiseuille para um fluido viscoelástico, utilizando a equação constitutiva Oldroyd-B. Para isto, utiliza-se a Simulação Numérica Direta para verificar a estabilidade dos escoamentos de fluidos viscoelásticos a perturbações não estacionárias. Os resultados numéricos obtidos para escoamentos de fluidos viscoelásticos são comparados com os resultados de escoamentos de fluidos Newtonianos, que já estão bem documentados na comunidade científica. Além disso, uma equação de Orr-Sommerfeld modificada é deduzida para um escoamento viscoelástico utilizando a Teoria de Estabilidade Linear
Abstract: Several flows of practical interest are of viscoelastic fluids and it is often desirable to know if these flows are in a laminar or turbulent state. Although the hydrodynamics of viscoelastic fluids are strongly affected by the balance between inertia and elastic forces in the flow, the effect of elasticity on the stability of inertial flows has not been completely established. In this work is studied what happens between these two states, the laminar-turbulent transition. Specifically, it will be investigated the convection of Tollmien-Schlichting waves to incompressible Poiseuille flow of viscoelastic fluid, using the constitutive equation Oldroyd-B. For this, the analysis is carried out by means of Direct Numerical Simulation to verify the stability of the non-stationary disturbances viscoelastic fluids flows. The numerical results obtained for viscoelastic fluids flows are compared with the results of Newtonian fluids flows, which are already well documented in scientific community. In addition, an Orr-Sommerfeld modified equation is deducted for a viscoelastic flow using Linear Stability Theory
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Book chapters on the topic "Oldroyd-B fluid"

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Pallavi, G., C. Hemanthkumar, I. S. Shivakumara, and B. Rushikumar. "Oscillatory Darcy-Bénard-Poiseuille Mixed Convection in An Oldroyd-B Fluid-Saturated Porous Layer." In Advances in Fluid Dynamics. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-4308-1_63.

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Mompean, G., and M. O. Deville. "Time-Dependent 3D Numerical Simulation of Oldroyd-B Fluid Using Finite Volume Method." In Notes on Numerical Fluid Mechanics (NNFM). Vieweg+Teubner Verlag, 1996. http://dx.doi.org/10.1007/978-3-322-89838-8_23.

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Meng, Sha, Xin Kai Li, and Gwynne Evans. "A Spectral Element Method for Oldroyd-B Fluid in a Contraction Channel." In Computational Science — ICCS 2001. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45545-0_97.

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Fetecau, Constantin, Corina Fetecau, and Dumitru Vieru. "On the Motion Induced by a Flat Plate That Applies Oscillating Shear Stresses to an Oldroyd-B Fluid: Applications." In Springer Proceedings in Mathematics & Statistics. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0859-0_4.

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Prokop, V., and K. Kozel. "Numerical Simulation of Generalized Newtonian and Oldroyd-B Fluids." In Numerical Mathematics and Advanced Applications 2011. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33134-3_61.

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Pires, Marília, and Adélia Sequeira. "Flows of Generalized Oldroyd-B Fluids in Curved Pipes." In Parabolic Problems. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0075-4_2.

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Martinez-Mardones, J., R. Tiemann, and W. Zeller. "Ginzburg-Landau Equations for Oscillatory Convection in Oldroyd-B Fluids." In Nonlinear Phenomena and Complex Systems. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0239-8_12.

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Abu-El, A., and E. M. "Unsteady Axial Viscoelastic Pipe Flows of an Oldroyd B Fluid." In Rheology - New Concepts, Applications and Methods. InTech, 2013. http://dx.doi.org/10.5772/53638.

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Khan, I., M. Imran, and K. Fakhar. "New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium." In Prime Archives in Applied Mathematics. Vide Leaf, Hyderabad, 2020. http://dx.doi.org/10.37247/paam.1.2020.26.

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Pan, Tsorng-Whay, Jian Hao, and Roland Glowinski. "Positive Definiteness Preserving Approaches for Viscoelastic Flow of Oldroyd-B Fluids." In Numerical Methods for Non-Newtonian Fluids. Elsevier, 2011. http://dx.doi.org/10.1016/b978-0-444-53047-9.00005-8.

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Conference papers on the topic "Oldroyd-B fluid"

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Pires, M., and T. Bodnár. "On the Influence of Diffusion Stabilization in Oldroyd-B Fluid Flow Simulations." In Topical Problems of Fluid Mechanics 2020. Institute of Thermomechanics, AS CR, v.v.i., 2020. http://dx.doi.org/10.14311/tpfm.2020.023.

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Pires, Marília, and Tomáš Bodnár. "Numerical Tests of Vanishing Diffusion Stabilization in Oldroyd-B Fluid Flow Simulations." In Topical Problems of Fluid Mechanics 2021. Institute of Thermomechanics of the Czech Academy of Sciences, 2021. http://dx.doi.org/10.14311/tpfm.2021.014.

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Liu, Yaqing, Liancun Zheng, Xinxin Zhang, and Fenglei Zong. "The MHD Flows for a Heated Generalized Oldroyd-B Fluid With Fractional Derivative." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22278.

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In this paper, we present a circular motion of magnetohydrodynamic (MHD) flow for a heated generalized Oldroyd-B fluid. The fractional calculus approach is introduced to establish the constitutive relationship of a viscoelastic fluid. The velocity and temperature fields of the flow are described by fractional partial differential equations. Exact analytical solutions of velocity and temperature fields are obtained by using Hankel transform and Laplace transform for fractional calculus. Results for ordinary viscous flow are deduced by making the fractional order of differential tend to one and zero. It is shown that the fractional constitutive relation model is more useful than the conventional model for describing the properties of viscoelastic fluid.
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Bakhti, Hamzah, Slimane Azoug, and Lahcen Azrar. "Blood Flow Simulation Through Two-Dimensional Complex Stenosed Arteries using Viscoelastic Oldroyd-B Fluid." In 2018 International Conference on Electronics, Control, Optimization and Computer Science (ICECOCS). IEEE, 2018. http://dx.doi.org/10.1109/icecocs.2018.8610621.

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Kaloni, P. N., and J. X. Lou. "On the Convective Stability of Oldroyd B Fluid Subject to a Horizontal Temperature Gradient." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45050.

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The linear convective stability analysis of Oldroyd B fluid with horizontal temperature gradient and thermocapillary effects is carried out. The lower surface of the fluid layer is in contact with an adiabatic rigid plate and the upper face is flat and subject to a temperature dependent surface tension. The eigenvalue problem is solved by the Chebyshev Tau-QZ method and the results are presented for Prandtl numbers 10 and 100. The role of different viscoelastic parameters is discussed.
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Ellero, M., P. Español, Albert Co, Gary L. Leal, Ralph H. Colby, and A. Jeffrey Giacomin. "A Fluid Particle Method for the Discretization of the Oldroyd-B Model with Thermal Fluctuations." In THE XV INTERNATIONAL CONGRESS ON RHEOLOGY: The Society of Rheology 80th Annual Meeting. AIP, 2008. http://dx.doi.org/10.1063/1.2964620.

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Kaloni, P. N., and J. X. Lou. "Stability of Hadley Circulations in a Viscoelastic Fluid With Deformable Free Surface." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-55389.

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This paper deals with liner convective stability analysis of Oldroyd B fluid in a thin horizontal layer with a deformable free surface. The lower surface of the layer is in contact with an adiabatic rigid plate and the upper deformable surface is subject to a temperature dependent surface tension. The eigenvalue problem is solved by the Chebyshev Tau-QZ method and the results for various different forms of upper surfaces are presented.
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Fetecau, Constantin, Nazish Shahid, and Masood Khan. "Flow of a fractional Oldroyd-B fluid over a plane wall that applies a time-dependent shear to the fluid." In THE 5TH INTERNATIONAL CONFERENCE ON RESEARCH AND EDUCATION IN MATHEMATICS: ICREM5. AIP, 2012. http://dx.doi.org/10.1063/1.4724119.

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Fakhar, K., B. Z. H. Joseph, A. H. Kara, R. Morris, and T. Hayat. "Symmetry reductions and some exact solutions for rotating flows of an Oldroyd-B fluid with Hall currents." In 9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4765511.

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Renardy, Y., M. Renardy, T. Chinyoka, D. B. Khismatullin, and J. Li. "A Viscoelastic VOF-PROST Code for the Study of Drop Deformation." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56114.

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A volume of fluid method is developed with a parabolic representation of the interface for the surface tension force (VOF-PROST). This three-dimensional transient code is extended to treat viscoelastic liquids with the Oldroyd-B constitutive equation. Simulations of deformation for a Newtonian drop in a viscoelastic medium under shear are reported.
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