Mathematical model of anomalous thermoviscous non-newtonian fluid dynamics in a circular pipe

2012 ◽  
Vol 9 (2) ◽  
pp. 139-142
Author(s):  
S.F. Khizbullina
Keyword(s):  
Fluid Dynamics ◽  
Mathematical Model ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Circular Pipe ◽  
Incompressible Fluid Flow ◽  
The Mathematical Model ◽  
Continuum Dynamics ◽  
Viscosity Dependence ◽  
The Continuum

On the basis of the continuum dynamics equations the mathematical model of evolution of an incompressible fluid flow in a circular pipe is developed taking into account non-newtonian properties of fluid and non-monotone viscosity dependence on temperature. The qualitative flow picture of anomalous thermoviscous non-newtonian fluid is similar to the flow picture of the anomalous thermoviscous newtonian fluid. Existence of viscosity anomaly leads to reduction of fluid hydraulic resistance.

A Study of the Effects of Baffles on Rotating Compressible Flows

1989 ◽  
Vol 56 (3) ◽  
pp. 710-712
Author(s):  
Max D. Gunzburger ◽  
Houston G. Wood ◽  
Rosser L. Wayland
Keyword(s):  
Fluid Dynamics ◽  
Mathematical Model ◽  
Compressible Flows ◽  
Numerical Examples ◽  
Thermal Boundary Conditions ◽  
Gas Centrifuge ◽  
Mass Injection ◽  
Flow Domain ◽  
The Mathematical Model ◽  
Element Algorithm

Onsager’s pancake equation for the fluid dynamics of a gas centrifuge is modified for the case of centrifuges with baffles which render the flow domain doubly connected. A finite element algorithm is used for solving the mathematical model and to compute numerical examples for flow fields induced by thermal boundary conditions and by mass injection and extraction.

scholarly journals THERMOPHYSICS AND FLUID DYNAMICS. Special Chapters

2018 ◽  
Author(s):  
Alexander M. Molchanov
Keyword(s):  
Fluid Dynamics ◽  
Mathematical Model ◽  
Thermal Radiation ◽  
Gas Dynamics ◽  
Numerical Algorithms ◽  
Fluid Flows ◽  
Postgraduate Students ◽  
High Enthalpy ◽  
Scientists And Engineers ◽  
The Mathematical Model

The textbook is devoted to the description of the mathematical model of gas dynamics and thermal radiation of turbulent high-enthalpy gas and multiphase flows under conditions of thermal and chemical nonequilibrium.The book is a intended for scientists and engineers who deal with constructing numerical algorithms and performing practical calculations of gas and fluid flows and also for students and postgraduate students who specialize in heanumerical gas and fluid dynamics.

scholarly journals Performance Analysis and Modeling of Microplastic Separation through Hydro Cyclones

2021 ◽  
Author(s):  
Fabio Borgia
Keyword(s):  
Fluid Dynamics ◽  
Mathematical Model ◽  
Computational Fluid Dynamics ◽  
Cfd Modeling ◽  
Separation Device ◽  
Operation Conditions ◽  
Computational Fluid Dynamics Cfd ◽  
Solid Liquid ◽  
Solid Liquid Separation ◽  
The Mathematical Model

The filtering hydro cyclone is a solid–liquid separation device, generally conical in shape. The hydro cyclone allows the separation of microplastics from water, to facilitate micro-recycling. To test the capabilities of a hydro cyclone at separating microplastics from water, Rietema’s standard sizes, mathematical and computational fluid dynamics (CFD) modeling were used. The results show that, even dough the mathematical model in unreliable when considering parameters out-side standard operation conditions, hydro cyclone microplastic separation can be achieved at 98% efficiency. Particles reach the outlet on average in 1.5 s for a flow velocity of 2 m/s, and denser microplastics end up in the underflow.

scholarly journals A Thematic Review on Mathematical Model for Convective Boundary Layer Flow

2021 ◽  
Vol 86 (2) ◽  
pp. 107-125
Author(s):  
Siti Farah Haryatie Mohd Kanafiah ◽  
Abdul Rahman Mohd Kasim ◽  
Syazwani Zokri ◽  
Nur Syamilah Arifin
Keyword(s):  
Boundary Layer ◽  
Mathematical Model ◽  
Boundary Condition ◽  
Fluid Flow ◽  
Convective Boundary Layer ◽  
Review Paper ◽  
Convective Boundary ◽  
Flow Problems ◽  
Thematic Review ◽  
The Mathematical Model

Convection refers to the heat transfer that occurs between moving fluid and surface at a different temperature. Nowadays, there has been a great deal of interest in the convective boundary layer fluid flow problems. Despite its popularity, the review paper discussing the mathematical model for various fluid types regarding various geometry and boundary conditions has been observed to fall short. This review paper adopts a thematic review based on the mathematical model captured in published fluid flow problems from 2015 until 2020. The articles were analysed using thematic analysis ATLAS.ti 8 software. Using keyword search and filtering criteria from Scopus and Web of Science (WOS) databases, 198 peer-reviewed journal articles were identified. However, after the exclusion and inclusion processes, only 50 articles were reviewed as final articles. The thematic review of these articles has further identified 120 initial codes characterising the mathematical model, grouped into 7 clusters: Viscoelastic, Williamson, Casson, Brinkman, Jeffrey, Nanofluid and hybrid Nanofluid. The report from the code-to-document in ATLAS.ti 8 found that the boundary condition, geometry and method were highlighted in the literature. The outcomes of this study will benefit the future research direction to identify the gap for future studies, specifically in extending the mathematical model for fluid flow problems as well as choosing the suitable geometry and boundary condition.

Validation: What, Why and How

2016 ◽  
Author(s):  
Luís Eça ◽  
Guilherme Vaz ◽  
Arjen Koop ◽  
Filipe Pereira ◽  
Hugo Abreu
Keyword(s):  
Fluid Dynamics ◽  
Mathematical Model ◽  
Mathematical Models ◽  
Flat Plate ◽  
Parameter Uncertainty ◽  
Physical Reality ◽  
Physical Models ◽  
The Mathematical Model ◽  
Modelling Error ◽  
Quantities Of Interest

Offshore and Naval engineering have relied on physical models, i.e. experimental fluid dynamics (EFD), for several decades. Although the role of experiments in engineering is still unquestionable, some of the limitations of physical models, as for example domain size (blockage and scale effects), can be addressed using mathematical models, i.e. computational fluid dynamics (CFD). However, to gain confidence in the use of CFD it is fundamental to determine the modelling accuracy, i.e. to determine the difference between the “physical reality” and the selected mathematical model. The quantification of the modelling error is the goal of Validation. It must be emphasized that Validation applies to the mathematical model (and not the code) and is performed for selected flow quantities (the so-called quantities of interest). Ideally, Validation would be performed comparing an exact measurement of the “physical reality” with the exact solution of the selected mathematical model. However, exact measurements do not exist and mathematical models for turbulent flows do not have analytical solutions. Therefore, procedures must be developed to take into account experimental and numerical uncertainties. Furthermore, the exact values of the flow parameters as for example Reynolds number, fluid viscosity or inlet turbulence quantities are often unknown, which leads to the so-called parameter uncertainty that also has to be dealt within the assessment of the modelling error. The main goal of this paper is to demonstrate that the very popular designation of “code X is validated” is meaningless without saying what is the mathematical model embedded in the code, what are the quantities of interest for the specific application and what is the Validation uncertainty imposed by the experimental, numerical and parameter uncertainties. Furthermore, we also illustrate that Validation is not a pass or fail exercise. A modelling error of 10% may be acceptable for a given application, whereas 1% may not be enough for a different one. To this end, we present the application of the ASME V&V 20 Validation procedure for local set points and the metric for multiple set points to several practical test cases: prediction of transition from laminar to turbulent regime for the flow over a flat plate; flow around a circular cylinder; flow around the KVLCC2 tanker and current loads in shallow water for a LNG carrier. In most of these exercises, parameter uncertainty is assumed to be zero, which is an assumption often required for the so-called practical calculations due to the computational effort required to address it. Nonetheless, as an illustration of its application, the flow over the flat plate includes parameter uncertainty for the specification of the inlet turbulence quantities.

Non-Newtonian fluid flow development in a circular pipe

1993 ◽  
Vol 12 (4) ◽  
pp. 203-213 ◽  
Author(s):  
R Gupta ◽  
R P Agarwal
Keyword(s):  
Fluid Flow ◽  
Newtonian Fluid ◽  
Circular Pipe ◽  
Flow Development

Influence of a Porous Insert on the Fluid Flow inside the Gasifier Shaft

2016 ◽  
Vol 685 ◽  
pp. 235-239 ◽  
Author(s):  
Pavel V. Openyshev ◽  
Mikhail A. Sheremet
Keyword(s):  
Mathematical Model ◽  
Porous Medium ◽  
Fluid Flow ◽  
Friction Coefficient ◽  
Skin Friction Coefficient ◽  
Turbulent Model ◽  
Turbulent Fluid Flow ◽  
Turbulent Fluid ◽  
Porous Insert ◽  
The Mathematical Model

Turbulent fluid flow inside the vertical gasifier shaft having the porous insert has been numerically analyzed. The effect of the porous medium structure on the fluid flow has been studied. The mathematical model has been formulated in dimensional primitive variables using the realizable k-ε turbulent model. The distributions of velocity and skin friction coefficient inside the gasifier shaft have been obtained. The results clearly show an essential effect of the porous medium structure on turbulent fluid flow.

scholarly journals Reenactment of a bollard pull test for a double propeller tugboat using computational fluid dynamics

2015 ◽  
Vol 8 (17) ◽  
pp. 9
Author(s):  
Adan Vega ◽  
David López Martínez
Keyword(s):  
Fluid Dynamics ◽  
Mathematical Model ◽  
Computational Fluid Dynamics ◽  
Numerical Calculation ◽  
Cfd Simulations ◽  
The Real ◽  
Pull Test ◽  
Pull Tests ◽  
The Mathematical Model ◽  
Real Test

Use of CFD simulations is an affordable and trustworthy way of determining a vessel’s capacity before its construction. This study focuses in simulating a bollard pull of a specific tugboat and comparing the results with those of the real test to which it was subjected after construction. In compliance with the regulations of the classification societies regarding these types of tests, simulations will be carried out to study the bollard pull tests of a double propeller two boat. The results showed that the mathematical model is suitable for a numerical calculation of the bollard pull tests.

scholarly journals Effect of Various Shapes of Rough Transverse Slider Bearing Equipped with Ferro-Lubricant on the Load-Tolerating Capability by Mathematical Modeling

2021 ◽  
Vol 13 (3) ◽  
pp. 745-761
Author(s):  
G. C. Panchal ◽  
H. C. Patel ◽  
H. A. Patel
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Adverse Effect ◽  
Newtonian Fluid ◽  
Geometrical Shape ◽  
Slider Bearing ◽  
Current Article ◽  
The Mathematical Model

This paper investigates the effect of various film shapes of rough transverse slider bearing with Ferro-lubricant on the bearing system's load-tolerating capability (LTC). The current article describes the efforts to improve bearing’s LTC by using a Ferro-lubricant as a non-Newtonian fluid and choosing the bearing's (piston ring’s) proper geometrical shape in the    I. C. Engine. The mathematical model and the numerical and graphical results reveal the facts about enhancing the bearing system's performance. Moreover, the adverse effect of roughness can be lessened to a certain range by growing the magnetic field's strength.

Sign in / Sign up

Export Citation Format

Share Document