Modeling throttle bridge measuring transducers of physical-mechanical parameters of Newtonian fluids

2021 ◽  
Vol 8 (3) ◽  
pp. 515-525
Author(s):  
Ye. P. Pistun ◽  
◽  
H. F. Matiko ◽  
H. B. Krykh ◽  
F. D. Matiko ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Newtonian Fluid ◽  
Kinematic Viscosity ◽  
Parametric Optimization ◽  
Measuring Transducer ◽  
Jet Fuel ◽  
Newtonian Fluids ◽  
Mechanical Parameters

The paper proposes a measuring transducer of the physical-mechanical parameters of a Newtonian fluid based on a throttle bridge measuring diagram with identical turbulent and laminar throttles in opposite arms. A mathematical model is built for the throttle bridge transducer of the combined parameter, which depends on the kinematic viscosity and density of the fluid. The problem of parametric optimization of the proposed measuring transducer is formulated and analytically solved in the paper. The authors calculated the transform function of the measuring transducer of the combined parameter of jet fuel.

scholarly journals STRUCTURAL AND PARAMETRIC OPTIMIZATION OF GAS-HYDRODYNAMIC MEASURING TRANSDUCERS OF PHYSICAL AND MECHANICAL PARAMETERS OF FLUIDS

2021 ◽  
pp. 23-31
Author(s):  
Ye. P. Pistun ◽  
H. F. Matiko ◽  
H. B. Krykh
Keyword(s):  
Parametric Optimization ◽  
Measuring Transducer ◽  
Optimization Methods ◽  
Optimization Method ◽  
Mechanical Parameters ◽  
Structural Synthesis ◽  
Optimization Parameters ◽  
Design Characteristics ◽  
Supply Mode ◽  
The Mathematical Model

The article is devoted to improving the methods for building throttle diagrams of gas-hydrodynamic measuring transducers of physical and mechanical parameters of fluids. The authors reviewed modern throttle transducers of various parameters, built on different diagrams, with different numbers and types of throttle elements, with different output signals. We established that the goodness of the measuring transducer is determined both by the structural diagram and the design characteristics of the throttle elements of a specific measuring diagram. The article proposes using structural synthesis with parametric optimization to achieve the specified characteristics of the gas-hydrodynamic transducers. The aim is to develop an effective method for building throttle diagrams of gas-hydrodynamic measuring transducers of physical and mechanical parameters of fluids using structural optimization of diagrams and to evaluate each dia-gram using parametric optimization methods with the appropriate criterion that quantifies the goodness of the measur-ing transducer. To achieve this goal, the authors analyzed the criteria and resources of structural and parametric optimization of gas-hydrodynamic transducers. In particular, the following resources of structural synthesis of measuring transducers’ dia-grams are analyzed: diagram order and throttle arrangement, type of throttles, output signals, supply mode of the transducer. Approaches to parametric optimization of throttle diagrams are offered: based on the mathematical model, one defines the objective function, forms restrictions on variable and fixed values, substantiates optimization parameters, chooses the optimization method. As a result of the research, the authors developed a technique for structural and parametric optimization of gas-hydrodynamic measuring transducers, making it possible to synthesize throttle diagrams and build mathematical models of transducers of specific parameters of the fluid with optimal characteristics.

scholarly journals Resources for structural optimization of gas-hydrodynamic measuring transducers

2021 ◽  
Vol 7 (2) ◽  
pp. 136-143
Author(s):  
Yevhen Pistun ◽  
◽  
Halyna Matiko ◽  
Hanna Krykh
Keyword(s):  
Graph Theory ◽  
Set Theory ◽  
Parametric Optimization ◽  
Measuring Transducer ◽  
Mechanical Parameters ◽  
Mathematical Apparatus ◽  
Structural Synthesis ◽  
Specific Parameter ◽  
Supply Mode ◽  
Diagram Type

The paper presents the analysis of the resources of structural and parametric optimization of gas-hydrodynamic measuring transducers of physical and mechanical parameters of fluids. Resources such as the number of throttles and their arrangement in the diagram, type of throttle elements, measuring channels with a certain type of output signal, the supply mode of the measuring transducer can be integrated into the design process of the measuring transducer of a specific parameter. A mathematical apparatus based on set theory and combinatorial analysis is proposed for synthesizing the possible structures of throttle diagrams, graph theory – for forming a set of measuring channels. The authors have given examples demonstrating the possibilities of building different diagrams of measuring transducers using the resources for structural synthesis. The proposed resources are the means of structural and parametric optimization for synthesizing the gas-hydrodynamic measuring transducers with optimal characteristics.

scholarly journals Flow Filling a Curved Pipe

2001 ◽  
Vol 123 (3) ◽  
pp. 686-691 ◽  
Author(s):  
H. Michallet ◽  
C. Mathis ◽  
P. Mai¨ssa ◽  
F. Dias
Keyword(s):  
Viscous Fluid ◽  
Newtonian Fluid ◽  
Kinematic Viscosity ◽  
Newtonian Fluids ◽  
Small Scale ◽  
Radius Of Curvature ◽  
Dimensionless Numbers ◽  
Curved Pipe ◽  
Minimum Speed ◽  
Scale Experiment

A small scale experiment was designed to study the propagation of the front of a viscous fluid filling a curved pipe. Several Newtonian fluids with different viscosities and a non-Newtonian fluid have been used. The experiments show that there exists a minimum speed for completely filling the pipe, which depends on the parameters of the experiment (diameter d and radius of curvature R of the pipe, kinematic viscosity ν of the fluid). Appropriate dimensionless numbers are introduced to characterize the flow and optimal filling conditions.

Systems Actuated by Shape Memory Alloys: Identification and Modeling

2021 ◽  
Vol 1 (2) ◽  
pp. 12-20
Author(s):  
Najmeh Keshtkar ◽  
Johannes Mersch ◽  
Konrad Katzer ◽  
Felix Lohse ◽  
Lars Natkowski ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Constitutive Model ◽  
Shape Memory Alloys ◽  
Numerical Simulations ◽  
Shape Memory ◽  
Transfer Equation ◽  
Mechanical Parameters ◽  
Heat Transfer Equation ◽  
The Mathematical Model

This paper presents the identification of thermal and mechanical parameters of shape memory alloys by using the heat transfer equation and a constitutive model. The identified parameters are then used to describe the mathematical model of a fiber-elastomer composite embedded with shape memory alloys. To verify the validity of the obtained equations, numerical simulations of the SMA temperature and composite bending are carried out and compared with the experimental results.

Dispersion of matter in non-Newtonian laminar flow through a circular tube

1966 ◽  
Vol 292 (1429) ◽  
pp. 203-208 ◽  
Keyword(s):  
Laminar Flow ◽  
Newtonian Fluid ◽  
Circular Tube ◽  
Newtonian Fluids ◽  
Parallel Plane ◽  
Bingham Plastic ◽  
Ellis Model ◽  
Model Fluid ◽  
Flow Through

Taylor’s analyses of the dispersion of Newtonian fluids in laminar flow in a circular tube are extended to the flow of the Bingham plastic and Ellis model fluid. The previous results for the Newtonian fluid and power-low fluid can be deduced from the results of this work. It is indicated that Aris’s modification of Taylor’s analyses can be naturally applied to the non-Newtonian fluid. Results obtained for laminar flow between two parallel plane walls are given in the appendix.

Experimental Comparison of Newtonian and Non-Newtonian Multiphase Flow in Horizontal Pipes

2020 ◽  
Author(s):  
Faraj Ben Rajeb ◽  
Mohamed Odan ◽  
Amer Aborig ◽  
Syed Imtiaz ◽  
Yan Zhang ◽  
...  
Keyword(s):  
Newtonian Fluid ◽  
Two Phase Flow ◽  
Newtonian Fluids ◽  
Theoretical Research ◽  
Experimental Comparison ◽  
Phase Flow ◽  
Flow Loop ◽  
Two Phase ◽  
Mixture Flow ◽  
Pressure Drops

Abstract Two-phase flow of gas/Newtonian and gas/non-Newtonian fluid through pipes occurs frequently in the chemical industry as well as in petroleum refining. Extensive experimental and theoretical research has been carried out on these systems in order to better understand their behaviour under different conditions regarding pressure, temperature and mixture concentrations. In this study, experimental apparatuses are used to investigate two-phase flow of gas/liquid systems through pipes. Air is used as the gas in the experiments, while water is used as the Newtonian fluid and Xanthan gum as the non-Newtonian fluid. The objectives of the study are to compare pressure drops when the same gas flows simultaneously with Newtonian and non-Newtonian fluids through tubes. The comparison here is between experimental pressure drops and estimated pressure drops, based on available empirical correlations for gas/Newtonian and gas/non-Newtonian flow. The trend exhibited by the pressure drops in both systems helps us to better understand the relationship between mixture flow pressure drops in Newtonian and non-Newtonian fluids and thereby develop a new experimental model. The tube diameter for the flow loop is 3/4 inch and the flow type ranges from transient to turbulent.

Application of Environmental Rubber in Concrete Road Engineering

2014 ◽  
Vol 989-994 ◽  
pp. 407-411
Author(s):  
Rui Yang
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Radial Strain ◽  
Drainage Tube ◽  
Secondary Development ◽  
Mechanical Parameters ◽  
New Materials ◽  
Road Engineering ◽  
Rubber Concrete

Environmental rubber concrete is a new building material, which can improve the construction quality of road drainage tube in road engineering and achieve effect of keeping warm and radial anti deformation. In order to study the physical properties of environmental rubber concrete, we use methods of experiment and numerical simulation to test mechanical parameters and effect of thermal insulation of concrete. Through the experiment we obtain the relation between ultimate bearing capacity and temperature. We use the software of ANSYS to secondary development on c numerical calculation, and establish a mathematical model of road drainage tube. Through the numerical simulation we get the temperature distribution and the radial strain nephogram of environmental rubber concrete. It provides a new method to study new materials in road engineering.

Parameter sensitivity of a mathematical model of the anterior cruciate ligament

1997 ◽  
Vol 211 (3) ◽  
pp. 235-246 ◽  
Author(s):  
D E Toutoungi ◽  
A B Zavatsky ◽  
J J O'Connor
Keyword(s):  
Mathematical Model ◽  
Anterior Cruciate Ligament ◽  
Cruciate Ligament ◽  
Sensitivity Study ◽  
Parameter Sensitivity ◽  
Mechanical Parameters ◽  
Femoral Attachment ◽  
Anterior Cruciate ◽  
Four Bar Linkage ◽  
Alternative Set

This paper presents the results of an investigation into parameter sensitivity of a mathematical model of the human anterior cruciate ligament (ACL). The model ACL comprised a continuous array of fibres mapped between part-elliptical attachment areas on the femur and tibia. Relative motion of the two bones was controlled by a planar four-bar linkage. Parameter modifications were: (a) an alternative set of values for the coordinates of the four-bar linkage joints; (b) rotation of the attachment areas of the ligament by ±30°; and (c) variation of some mechanical properties. The alternative four-bar linkage parameter set produced extremely large changes in ACL force values, up to 130 per cent. Rotating the tibial attachment changed forces by less than 20 per cent, whereas rotating the femoral attachment changed forces by up to 100 per cent. Altering the mechanical parameters produced the smallest differences in force, under 15 per cent. These results highlight the importance, when using a theoretical model, of establishing the values of the parameters defining the model as accurately as possible and of carrying out a parameter sensitivity study. From a clinical viewpoint, they also suggest that, when reconstructing a ruptured ACL, one of the most important considerations must be to position the femoral attachment of the graft as accurately as is feasible.

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