20 results on '"Ellis model"'
Search Results
2. Theoretical study of silver nanoparticle suspension in electroosmosis flow through a nonuniform divergent channel with compliant walls: A therapeutic application
- Author
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Muhammad Irfan, Imran Siddique, Mubbashar Nazeer, and Waqas Ali
- Subjects
Compliant walls ,Nanofluid ,Nonuniform channel ,Silver nanoparticles ,Ellis model ,Engineering (General). Civil engineering (General) ,TA1-2040 - Abstract
This study explores the effect of silver nanoparticles on heat transfer and flow behavior within the context of the Ellis fluid model. It specifically considers electroosmotic forces in a nonuniform divergent channel with compliant walls. The analysis involves studying thermal transport in silver-blood nanofluid flow, using MATHEMATICA 13.2 software to obtain exact solutions for velocity and temperature distribution. Findings reveal that certain parameters, such as wall damping and wall elastic properties, increase skin friction, while compliant wall parameters generally reduce flow velocity. Additionally, wall rigidity and tension parameters lead to larger trapped boluses. Notably, a 1% concentration of nanoparticles enhances heat transfer by up to 13.75%, offering control over heat transfer rates. This research introduces a novel perspective by examining compliant wall impacts on heat transfer analysis in the context of electroosmotic flow within the Ellis fluid model, incorporating silver nanoparticles with potential therapeutic applications due to their antibacterial properties.
- Published
- 2024
- Full Text
- View/download PDF
3. Theoretical study of silver nanoparticle suspension in electroosmosis flow through a nonuniform divergent channel with compliant walls: A therapeutic application.
- Author
-
Irfan, Muhammad, Siddique, Imran, Nazeer, Mubbashar, and Ali, Waqas
- Subjects
NON-uniform flows (Fluid dynamics) ,NANOPARTICLES ,NANOFLUIDICS ,ELECTRO-osmosis ,ELECTRORHEOLOGY ,ELASTICITY ,FLOW velocity ,SILVER nanoparticles ,HEAT transfer fluids - Abstract
This study explores the effect of silver nanoparticles on heat transfer and flow behavior within the context of the Ellis fluid model. It specifically considers electroosmotic forces in a nonuniform divergent channel with compliant walls. The analysis involves studying thermal transport in silver-blood nanofluid flow, using MATHEMATICA 13.2 software to obtain exact solutions for velocity and temperature distribution. Findings reveal that certain parameters, such as wall damping and wall elastic properties, increase skin friction, while compliant wall parameters generally reduce flow velocity. Additionally, wall rigidity and tension parameters lead to larger trapped boluses. Notably, a 1% concentration of nanoparticles enhances heat transfer by up to 13.75%, offering control over heat transfer rates. This research introduces a novel perspective by examining compliant wall impacts on heat transfer analysis in the context of electroosmotic flow within the Ellis fluid model, incorporating silver nanoparticles with potential therapeutic applications due to their antibacterial properties. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
4. Heat transfer analysis of single-walled carbon nanotubes in Ellis's fluid model: Comparative study of uniform and non-uniform channels
- Author
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Muhammad Irfan, Imran Siddique, Mubbashar Nazeer, S. Saleem, and Neyara Radwan
- Subjects
Heat source ,Uniform/non-uniform channel ,Ellis model ,Electroosmotic flow ,Carbon nanotubes ,Engineering (General). Civil engineering (General) ,TA1-2040 - Abstract
Background: The essential features of nanoparticles in nanofluids play a vital role in nanotechnology. The nanosized particles of carbon are known as carbon nanotubes (CNTs). The properties of CNT like thermal and electrical conductivity, lightweight, flexibility, and mechanical strength support its applications in the medical field i.e., diagnostic and therapeutic agents (drugs, antibodies, biosensors, vaccines etc.). These are not only excellent vehicles for drug delivery and gene therapies but also useful in biosensor diagnostic, enantiomer separation of chiral drugs, tissue regeneration, extraction, and analysis of pollutants and drugs. Objective: The focus of this research work is to open the essential features of peristaltic transport of Ellis nanofluid through uniform and non-uniform channels with suspension of single-walled carbon nanotubes (SWCNT). The consideration of blood flow with SWCNT under the effects of heat generation and electroosmosis is one of the key factors of this investigation. Method: The complexity of the system is reduced with the implementation of the concepts of longer wavelength and lower Reynolds number. The governing two-dimensional equations are simplified by introducing dimensionless variables and parameters. The mathematical tool “MATHEMATICA 13.3” is used to compute the exact solution and graphical demonstration of velocity, temperature, heat transfer rate, and streamlines. Computational results: It is noticed that velocity, temperature, and heat transfer rate are prominent in non-uniform channels as compared to uniform channels. Similarly, the size and number of boluses during the trapping phenomenon increase or decrease quickly in non-uniform channels. The volumetric addition of SWCNT diminishes the velocity and temperature while the heat transfer rate is enhanced in both channels but in the nonuniform channel effects are more prominent. Applications: This study explores the applications of SWCNT in medical fields like angiography, angioplasty, and cancer therapy. Novelty: The present study is new and has never been addressed before.
- Published
- 2024
- Full Text
- View/download PDF
5. Roll of partial slip on Ellis nanofluid in the proximity of double diffusion convection and tilted magnetic field: Application of Chyme movement
- Author
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Yasir Khan, Maria Athar, Safia Akram, Khalid Saeed, Alia Razia, and A. Alameer
- Subjects
Slip boundaries ,Asymmetric channel ,Nanofluids ,Double diffusion convection ,Peristaltic pumping ,Ellis model ,Science (General) ,Q1-390 ,Social sciences (General) ,H1-99 - Abstract
The current study aims to investigate the effect of partial slip conditions over double diffusion convection. The phenomenon is applied with the inclined magnetic flux of peristaltic flow on Ellis nanofluid model in an asymmetric channel. The fundamental differential equations are constructed and solved through lubrication approximation that gives the coupled system of ordinary differential equations. This resultant system is further solved numerically, and graphic representation are used to physically comprehend the flow quantity data. The whole procedure is carried out under the trapping mechanism by drawing contour streamlines. The knowledge gained from this work will be useful in the creation of intelligent magneto-peristaltic pumps for specific heat and medication delivery phenomena.
- Published
- 2023
- Full Text
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6. Thermal Convection of an Ellis Fluid Saturating a Porous Layer with Constant Heat Flux Boundary Conditions.
- Author
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Brandão, Pedro Vayssière, Celli, Michele, Barletta, Antonio, and Lazzari, Stefano
- Subjects
PSEUDOPLASTIC fluids ,HEAT flux ,NON-Newtonian fluids ,THERMAL instability ,RAYLEIGH number ,FLUIDS ,PROBLEM solving - Abstract
The present work analyzes the thermal instability of mixed convection in a horizontal porous channel that is saturated by a shear-thinning fluid following Ellis' rheology. The fluid layer is heated from below by a constant heat flux and cooled from above by the same heat flux. The instability of such a system is investigated by means of a small-disturbances analysis and the resulting eigenvalue problem is solved numerically by means of a shooting method. It is demonstrated that the most unstable modes on the instability threshold are those with infinite wavelength and an analytical expression for such conditions is derived from an asymptotic analysis. Results show that the non-Newtonian character of the fluid has a destabilizing role. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
7. Mathematical Modeling and Analysis of the Steady Electro-Osmotic Flow of Two Immiscible Fluids: A Biomedical Application.
- Author
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Alyousef, Haifa A., Yasmin, Humaira, Shah, Rasool, Shah, Nehad Ali, El-Sherif, Lamiaa S., and El-Tantawy, Samir A.
- Subjects
ELECTRO-osmosis ,MATHEMATICAL analysis ,VISCOELASTIC materials ,NEWTONIAN fluids ,FLUIDS - Abstract
The in vitro fabrication of big osteoarticular implants integrating biomaterials and cells is of tremendous interest because these tissues have a limited ability to regenerate. However, the growth of such cells in vitro is highly problematic, especially later in the culture, when the extracellular matrix has almost filled the initial porous network. Thus, the fluid flow required to properly perfuse the sample cannot be obtained by the hydraulic driving force alone. Fluid pumping is a central concern of a microfluidic system and electro-osmotic pumps (EOPs) are commonly employed for this purpose. Using electro-kinetic equations as a basis, this study analyzed the variations of a two-fluid electro-osmotic flow of viscoelastic fluid flow through a channel. The behavior of the fluid was studied through the Ellis equation. This is how the electro-osmotic pump functions, as demonstrated in the literature that it electrically drags a conducting fluid across a non-conducting fluid through interfacial dragging force along the channel. A steady-state analytical solution for the system in a conducting fluid channel was studied by undertaking an interface planner for fluids exhibiting Newtonian rheological properties. The pumping characteristics were studied in detail by using the Ellis model's parameters. The fluid rheology was studied, which showed the viability of this technique. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
8. PENELUSURAN INFORMASI MAHASISWA PROGRAM STUDI PERPUSTAKAAN DAN ILMU INFORMASI UNIVERSITAS NEGERI PADANG: ANALISIS MODEL ELLIS.
- Author
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Wahyulianti, Rani and Ardoni
- Abstract
This study aims to describe the information-seeking behavior of students in the Library and Information Science Study Program when searching for information. This research is quantitative research with a descriptive method. The population in this study were library and information science students, totaling 288 people, with a sample of 75 people. Sampling was determined based on the simple random sampling technique, which is a random sampling technique without regard to the existing strata in the population. The dataset for this study was obtained through the distribution of questionnaires. Data analysis was carried out descriptively with the formula for calculating relative frequency and percentage. Based on the results of the study, it can be concluded that the information-seeking behavior of students of the Library and Information Science Study Program in searching for information as a whole is positive. These results are known from the average score obtained, which is 2.92. This score is on an interval scale of 2.52–3.27. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
9. Thermal Convection of an Ellis Fluid Saturating a Porous Layer with Constant Heat Flux Boundary Conditions
- Author
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Pedro Vayssière Brandão, Michele Celli, Antonio Barletta, and Stefano Lazzari
- Subjects
mixed convection ,shear-thinning fluids ,Ellis model ,Thermodynamics ,QC310.15-319 ,Descriptive and experimental mechanics ,QC120-168.85 - Abstract
The present work analyzes the thermal instability of mixed convection in a horizontal porous channel that is saturated by a shear-thinning fluid following Ellis’ rheology. The fluid layer is heated from below by a constant heat flux and cooled from above by the same heat flux. The instability of such a system is investigated by means of a small-disturbances analysis and the resulting eigenvalue problem is solved numerically by means of a shooting method. It is demonstrated that the most unstable modes on the instability threshold are those with infinite wavelength and an analytical expression for such conditions is derived from an asymptotic analysis. Results show that the non-Newtonian character of the fluid has a destabilizing role.
- Published
- 2023
- Full Text
- View/download PDF
10. Rayleigh–Bénard Instability of an Ellis Fluid Saturating a Porous Medium.
- Author
-
Celli, Michele, Barletta, Antonio, and Brandão, Pedro V.
- Subjects
POROUS materials ,PSEUDOPLASTIC fluids ,THERMAL instability ,SHEARING force ,FLUIDS ,NON-Newtonian fluids ,NEWTONIAN fluids - Abstract
The Ellis model describes the apparent viscosity of a shear–thinning fluid with no singularity in the limit of a vanishingly small shear stress. In particular, this model matches the Newtonian behaviour when the shear stresses are very small. The emergence of the Rayleigh–Bénard instability is studied when a horizontal pressure gradient, yielding a basic throughflow, is prescribed in a horizontal porous layer. The threshold conditions for the linear instability of this system are obtained both analytically and numerically. In the case of a negligible flow rate, the onset of the instability occurs for the same parametric conditions reported in the literature for a Newtonian fluid saturating a porous medium. On the other hand, when high flow rates are considered, a negligibly small temperature difference imposed across the horizontal boundaries is sufficient to trigger the convective instability. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF
11. New Media in Information seeking behavior of Islamic Science Researches: A Case Study on Seminary
- Author
-
zohreh eftekhar, soraya ziaei, and Hadi Sharif
- Subjects
new media ,ellis model ,information seeking behavior ,seminary ,fars and bushehr province ,Communication. Mass media ,P87-96 - Abstract
This paper aims to survey the method of Selecting subject to coping with Information Resources based on the Ellis model in Seminary base on new media, study 323 Students in Fars and Bushehr Province. The method of this study is a survey with analytical approach. Data collection tools in this study was questionnaire and in order to assess validity (content), and the questionnaire reliability was obtained by Cronbach alpha. Sampling is purposeful; Descriptive and analytical statistical methods such as Spearman's correlation coefficient, Kruskal-Wallis and Friedman tests were utilized. prying mind (2/6), reviewing of information resources (3/13), Sites in the Internet related to subjects or social networks (3/92), Using online databases or weblogs (3/48), Authority (3/7), Studying abstract (2/48), is so important for seminary students. The results showed that Students of Seminary selected different methods base on new media that selected by research population for Selecting subject to coping with Information Resources and its not based on the Ellis Model.
- Published
- 2022
- Full Text
- View/download PDF
12. Theoretical study of silver nanoparticle suspension in electroosmosis flow through a nonuniform divergent channel with compliant walls: A therapeutic application
- Author
-
Irfan, Muhammad (author), Siddique, Imran (author), Nazeer, Mubbashar (author), Ali, W. (author), Irfan, Muhammad (author), Siddique, Imran (author), Nazeer, Mubbashar (author), and Ali, W. (author)
- Abstract
This study explores the effect of silver nanoparticles on heat transfer and flow behavior within the context of the Ellis fluid model. It specifically considers electroosmotic forces in a nonuniform divergent channel with compliant walls. The analysis involves studying thermal transport in silver-blood nanofluid flow, using MATHEMATICA 13.2 software to obtain exact solutions for velocity and temperature distribution. Findings reveal that certain parameters, such as wall damping and wall elastic properties, increase skin friction, while compliant wall parameters generally reduce flow velocity. Additionally, wall rigidity and tension parameters lead to larger trapped boluses. Notably, a 1% concentration of nanoparticles enhances heat transfer by up to 13.75%, offering control over heat transfer rates. This research introduces a novel perspective by examining compliant wall impacts on heat transfer analysis in the context of electroosmotic flow within the Ellis fluid model, incorporating silver nanoparticles with potential therapeutic applications due to their antibacterial properties., Environmental Fluid Mechanics
- Published
- 2023
- Full Text
- View/download PDF
13. A Comparative Analysis of the Ostwald–De Waele and Ellis Rheological Equations in Solving the Graetz–Nusselt Problem.
- Author
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Shapovalov, V. M.
- Subjects
- *
PROBLEM solving , *NEWTONIAN fluids , *COMPARATIVE studies , *EQUATIONS , *HEAT transfer - Abstract
The evaluation of the accuracy of the Ostwald–de Waele model in solving the Graetz–Nusselt problem is made by comparing with the standard solution for the Ellis liquid. As a result of the analysis, it is shown that the problem solution constructed on the exponential equation leads to substantial distortions of the heat transfer pattern. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
14. Identification of Ellis rheological law from free surface velocity.
- Author
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Al-Behadili, Abdulrahman, Sellier, Mathieu, Hewett, James N., Nokes, Roger I., and Moyers-Gonzalez, Miguel
- Subjects
- *
VELOCITY measurements , *NON-Newtonian fluids , *NAVIER-Stokes equations , *PARTICLE tracking velocimetry , *RHEOLOGY - Abstract
Highlights • This paper presents a methodology to infer the rheology of a fluid from free surface velocity measurement. • Rheology is reconstructed by minimizing the difference between simulated and measured data. • The method is tested on synthetic and real experimental data for the dam-break flow problem. • Particle Tracking Velocimetry is used to measure the free surface velocity. • Models based on the Navier–Stokes equations and the lubrication approximation with an Ellis rheology are presented. Abstract This study presents a new rheometry technique which requires a free surface velocity field as an input. By minimising the difference between observed and simulated data, we show here that it is possible to estimate the three parameters of an assumed Ellis rheological law. The dam-break problem is considered here with molasses as the working fluid. The free surface velocity is evaluated by seeding the free surface with buoyant particles and using particle tracking velocimetry. The parameter identification is successfully tested with "synthetic" data produced by the numerical model. The parameter identification algorithm is shown to be robust even when significant noise is added to the synthetic dataset. For true experimental data, the reconstructed flow curve is within 25% of the actual one, demonstrating the potential of the method for circumstances where standard rheometry does not apply. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
15. The Graetz Problem for the Ellis Fluid Model.
- Author
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Ali, N. and Khan, M.W.S.
- Subjects
- *
GRAETZ number , *NEWTONIAN fluids , *BOUNDARY value problems , *DIMENSIONLESS numbers , *FLUID dynamics - Abstract
The determination of temperature and auxiliary quantities such as local and average Nusselt numbers for thermally developing flow is referred as the Graetz problem. In the classical Graetz problem, the fluid entering the tube or channel is Newtonian in nature. Here, an extension of the classical Graetz problem is presented by assuming that the fluid entering the tube or channel obeys the Ellis constitutive equation. The energy equation for the considered problem is solved using the separation of variables technique supplemented with the MATLAB routine bvp4c for computation of the eigenvalues and numerical solution of the associated Sturm-Liouville boundary value problem. The problem is solved for two types of thermal boundary conditions, namely, uniform surface temperature and uniform surface heat flux for both flat and circular geometries. Expressions for bulk mean temperature and local and average Nusselt numbers are presented and discussed through tables and graphs. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
16. On Application of the Ostwald-de Waele Model to Description of Non-Newtonian Fluid Flow in the Nip of Counter-Rotating Rolls.
- Author
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Shapovalov, V. M.
- Subjects
- *
NON-Newtonian fluids , *FLUID flow , *MATHEMATICAL models , *PSEUDOPLASTIC fluids , *SHEARING force - Abstract
The accuracy of the Ostwald-de Waele model in solving the problem of roll flow has been assessed by comparing with the "reference" solution for an Ellis fluid. As a result of the analysis, it has been shown that the model based on a power-law equation leads to substantial distortions of the flow pattern. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
17. Mathematical simulation of double diffusion convection on peristaltic pumping of Ellis nanofluid due to induced magnetic field in a non-uniform channel: Applications of magnetic nanoparticles in biomedical engineering.
- Author
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Akram, Safia, Athar, Maria, Saeed, Khalid, Razia, Alia, Muhammad, Taseer, and Ahmed Alghamdi, Huda
- Subjects
- *
MAGNETICS , *MAGNETIC nanoparticles , *MAGNETIC fields , *NANOFLUIDS , *NONLINEAR differential equations , *PARTIAL differential equations , *BIOMEDICAL engineering - Abstract
• Constitutive relation for Ellis fluid is employed. • Induced magnetic field is taken into account. • Nanofluid model consists of Brownian motion and thermophoresis. • Non-unifrom channel is assumed for flow analysis. The present research explores the wave of peristalsis on magneto Ellis nanofluids within non-uniform channel by using Dufour and Soret parameters. The mathematical representation of the magneto Ellis nanofluids having double diffusion convection under magnetic flux is presented in detail. The nonlinear partial differential equations are simplified by applying long wavelength and lesser Reynolds number. The resultant differential equations are further simplified numerically, and exact solutions of concentration, temperature, and nanoparticle fraction are computed. Further, the significance of numerous material constraints of flow quantities is depicted through graphs. It is revealed that the huge value of Brownian motion and Soret number decreases the concentration of nanosolid particle. Solid nanoparticles in a nanofluid during micro-mixing procedure collide randomly hence transferring the molecular energy into thermal energy that triggers the rise in temperature. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
18. Mathematical Modeling and Analysis of the Steady Electro-Osmotic Flow of Two Immiscible Fluids: A Biomedical Application
- Author
-
Haifa A. Alyousef, Humaira Yasmin, Rasool Shah, Nehad Ali Shah, Lamiaa S. El-Sherif, and Samir A. El-Tantawy
- Subjects
Materials Chemistry ,Surfaces and Interfaces ,mathematical modeling ,electro-osmotic flow ,two immiscible fluids ,Ellis model ,Surfaces, Coatings and Films - Abstract
The in vitro fabrication of big osteoarticular implants integrating biomaterials and cells is of tremendous interest because these tissues have a limited ability to regenerate. However, the growth of such cells in vitro is highly problematic, especially later in the culture, when the extracellular matrix has almost filled the initial porous network. Thus, the fluid flow required to properly perfuse the sample cannot be obtained by the hydraulic driving force alone. Fluid pumping is a central concern of a microfluidic system and electro-osmotic pumps (EOPs) are commonly employed for this purpose. Using electro-kinetic equations as a basis, this study analyzed the variations of a two-fluid electro-osmotic flow of viscoelastic fluid flow through a channel. The behavior of the fluid was studied through the Ellis equation. This is how the electro-osmotic pump functions, as demonstrated in the literature that it electrically drags a conducting fluid across a non-conducting fluid through interfacial dragging force along the channel. A steady-state analytical solution for the system in a conducting fluid channel was studied by undertaking an interface planner for fluids exhibiting Newtonian rheological properties. The pumping characteristics were studied in detail by using the Ellis model’s parameters. The fluid rheology was studied, which showed the viability of this technique.
- Published
- 2023
- Full Text
- View/download PDF
19. Viscosity measurements of CO-in-water foam with dodecyl polypropoxy sulfate surfactants for enhanced oil recovery application.
- Author
-
Pramudita, Ria and Ryoo, Won
- Abstract
Apparent viscosities of CO-in-water foams were measured in a wide range of shear rate from 50 to 105 inverse second for enhanced oil recovery (EOR) application. The CO-in-water dispersions, made of 50:50 weight proportions of CO and water with 1 wt.% surfactant concentration, were prepared in high-pressure recirculation apparatus under pressure where CO density becomes 0.7, 0.8, and 0.9 g/mL at each temperature of 35, 45, and 55°C. The surfactants used for the foam generation were sodium dodecyl polypropoxy sulfates with average propoxylation degrees of 4.7 and 6.2. The foam viscosity showed shear thinning behaviors with power-law indices ranging from 0.80 to 0.85, and approached a Newtonian regime in the lower shear rate range at several tens of inverse second. Zero-shear viscosity values projected from experimental data based on Ellis model were as high as 57.4 mPa·s and enough to control the mobility of water and CO in oil reservoirs. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
20. О ПРИМЕНЕНИИ МОДЕЛИ ОСТВАЛЬДА – ДЕ ВИЛЯ ДЛЯ АНАЛИЗА ТЕЧЕНИЯ КУЭТТА
- Subjects
model Ostwald – de Waele ,касательное напряжение ,модель Эллиса ,Ellis model ,скорость ,speed ,модель Оствальда – де Виля ,shear stress ,effective viscosity ,pressure ,эффективная вязкость ,давление ,flow ,течение - Abstract
Червячные машины широко применяются для переработки полимерных систем и композитных материалов со сложным реологическим поведением. Для описания течения перерабатываемых сред используются различные реологические модели. Широкое распространение получили математические модели течения, основанные на применении модели Оствальда – де Виля (степенная модель). Это объясняется её относительной простотой, наглядностью и лёгкостью определения реологических параметров. Между тем известен недостаток степенной модели: завышенная вязкость при малых скоростях деформации. Следовательно, математические модели течений, базирующиеся на степенной модели, должны давать неточный прогноз в определении интегральных параметров. В настоящей работе оценка погрешности модели Оствальда – де Виля выполнена путём сопоставления расчётных результатов с результатами, полученными с помощью «эталонной» модели, в качестве которой использовалась трёхпараметрическая реологическая модель Эллиса. Модель Эллиса хорошо описывает реологическое поведение полимерных растворов и расплавов в области малых и средних скоростей деформации. Насколько известно авторам, подобных оценок для рассматриваемого течения не проводилось. Рассматривается течение обобщённой ньютоновской жидкости между двумя параллельными плоскими стенками (развёртка червяка), из которых одна покоится, а другая движется в своей плоскости с постоянной скоростью. Расстояние между стенками (глубина нарезки шнека) постоянна. Течение ламинарное, установившееся, изотермическое. Среда несжимаемая. Инерционные и массовые силы по сравнению с силами вязкого трения пренебрежимо малы. Скольжение на поверхностях отсутствует. Работа включает общее решение задачи куэттовского течения обобщённой ньютоновской жидкости, получение расчётных формул для моделей Оствальда – де Виля и Эллиса, сопоставление расчётных результатов полученных решений. В результате анализа полученных результатов показано, что степенная модель приводит существенным ошибкам при сравнительно низких скоростях движения стенки., Worm cars are widely used for the processing of polymer systems and composite materials with complex rheological behavior. To describe the flow of recyclable media using different rheological models. Widespread mathematical flow models based on the use of models Ostwald - de Waele (grade model). This is due to its relative simplicity, clarity and ease of determination of rheological parameters. Meanwhile, the lack of known power-law model: inflated viscosity at low strain rates. Therefore, the mathematical model of flows, based on a power model should give inaccurate forecasts in determining the integral parameters. In this paper, error estimation model Ostwald – de Waele made by comparing the calculated results with the results obtained using the "standard" model, which was used as a rheological model three-parameter Ellis. Ellis model well describes the rheological behavior of polymer solutions and melts in the field of small and medium strain rates. To our knowledge, such assessments for the considered flow was carried out. The flow of the generalized Newtonian fluid between the two parallel flat walls (unfolding worm), of which one is at rest, and the other moves in its own plane with a constant velocity. The distance between the walls (the depth of the screw cutting) is constant. The flow is laminar, steady, isothermal. Wednesday incompressible. Inertial mass and strength compared to viscous friction forces are negligible. Slipping on missing surfaces. The work includes the general solution of Couette flow of generalized Newtonian fluid, obtaining computational formulas for models Ostwald – de Waele and Ellis, a comparison of the calculated results of the solutions. The analysis of the results shows that power law model causes significant errors at relatively low speeds wall motion., №3(23) (2018)
- Published
- 2018
- Full Text
- View/download PDF
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