Simulation of Flows Near a Groin in a Straight Open Channel with Effects of Streamline Curvature

2011 ◽  
Vol 383-390 ◽  
pp. 6669-6673
Author(s):  
Guang Cai Sun ◽  
Wen Li Wei ◽  
Y.L. Liu ◽  
Gui Wen Rong
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Satisfactory Agreement ◽  
Open Channel ◽  
Solution Procedure ◽  
Curvilinear Coordinates ◽  
Governing Equations ◽  
Local Curvature ◽  
Streamline Curvature ◽  
Orthogonal Curvilinear Coordinates

A mathematical model for predicting turbulence flows with effects of streamline curvature under orthogonal curvilinear coordinates is developed in this paper .The SIMPLEC solution procedure has been used for the transformed governing equations in the transformed domain. The flows near a groin in a straight open channel are employed to test the capability of the proposed turbulence model in capturing the effects of local curvature .The comparison between the computed results and experimental data shows a satisfactory agreement.

Fluid exchange in skeletal muscle with viscoelastic blood vessels

1987 ◽  
Vol 253 (6) ◽  
pp. H1548-H1556
Author(s):  
J. Lee ◽  
E. P. Salathe ◽  
G. W. Schmid-Schonbein
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Skeletal Muscle ◽  
Blood Cells ◽  
Constant Pressure ◽  
Tissue Fluid ◽  
Flow State ◽  
Governing Equations ◽  
Fluid Exchange ◽  
Better Than

A mathematical model of capillary-tissue fluid exchange in a viscoelastic blood vessel is presented, and the Landis occlusion experiment is simulated. The model assumes that the fluid exchange is governed by Starling's law and that the protein and red blood cells are conserved in the capillary. Before occlusion, in the steady flow state, the pressure in the capillary decreases from the arterial to venous end due to viscous dissipation. After occlusion a constant pressure is established along the capillary. We assume the capillary to be distensible with viscoelastic wall properties. Immediately following occlusion an instantaneous distension of the capillary occurs. The vessel continues to expand viscoelastically while fluid is filtered for a period of several minutes, until it reaches an equilibrium state. A full numerical solution of the governing equations has been obtained. We use this model to compute the distance variation between two labeled erythrocytes as obtained in the Landis occlusion experiment and compare the results with experimental data obtained recently for the spinotrapezius muscle in our laboratory. The new model can fit the experimental data better than previous models that neglect the distensibility of the capillaries.

A 2D Numerical Model for Simulation of Two-Dimensional Circular Dam-Break

2011 ◽  
Vol 130-134 ◽  
pp. 2993-2996
Author(s):  
Ming Qin Liu ◽  
Y.L. Liu
Keyword(s):  
Solution Procedure ◽  
Dam Break ◽  
Curvilinear Coordinates ◽  
Two Dimensional ◽  
Proposed Model ◽  
Curvilinear Coordinate ◽  
Orthogonal Curvilinear Coordinate System ◽  
Orthogonal Curvilinear Coordinates ◽  
Averaged Model ◽  
The Mathematical Model

The purpose of this paper is to present a 2D depth-averaged model under orthogonal curvilinear coordinates for simulating two-dimensional circular dam-break flows. The proposed model uses an orthogonal curvilinear coordinate system efficiently and accurately to simulate the flow field with irregular boundaries. As for the numerical solution procedure, The SIMPLEC solution procedure has been used for the transformed governing equations in the transformed domain. Practical application of the model is illustrated by an example, which demonstrates that the mathematical model can capture hydraulic discontinuities accurately such as steep fronts, hydraulic jump and drop, etc.

scholarly journals Stresses and deformations of an eccentric cylindrical cam during hydro-joining

2021 ◽  
Vol 353 ◽  
pp. 01025
Author(s):  
Kelin Wang ◽  
Wei Zhang ◽  
Yihua Dou ◽  
Xiaozeng Wang ◽  
Yinping Cao
Keyword(s):  
Tangential Stress ◽  
Numerical Solutions ◽  
Maximum Shear Stress ◽  
Polar Angle ◽  
Internal Surface ◽  
Curvilinear Coordinates ◽  
Governing Equations ◽  
Maximum Value ◽  
Stress Coefficient ◽  
Orthogonal Curvilinear Coordinates

The stresses and deformations of an eccentric cylindrical cam during the process of hydro-joining have been calculated in orthogonal curvilinear coordinates according to the mechanical model of the cam and governing equations in terms of appropriate complex potentials with suitable boundary conditions. The radial and shearing stress coefficients determined for an example cam are far less than that of the tangential stress during hydro-joining. The tangential stress coefficient of the outer surface of the cam is greater than that of the internal surface when the polar angle exceeds a particular value. The position of the maximum value of the radial stress coefficient is located on the internal surface of the cam, and the maximum shear stress coefficient is located between the inside and outside surfaces of the cam. The cam deformations on the internal and external surfaces under internal pressure respectively attain maximum values at particular angles. The maximum values of the radial and y-directional deformations are located at the position of the minimum wall thickness. The radial deformations determined for an example cam are far larger that the tangential deformations during hydro-joining. The errors between the theoretical and numerical solutions for the tangential stress and the y-directional deformation are both very small.

A Calculation Procedure for Three-Dimensional, Viscous, Compressible Duct Flow. Part I—Inviscid Flow Considerations

1979 ◽  
Vol 101 (4) ◽  
pp. 415-422 ◽  
Author(s):  
John Moore ◽  
Joan G. Moore
Keyword(s):  
Three Dimensional ◽  
Inviscid Flow ◽  
Solution Procedure ◽  
Curvilinear Coordinates ◽  
Two Dimensional ◽  
Duct Flow ◽  
Conservation Equations ◽  
Two Dimensional Flow ◽  
Flow Part ◽  
Orthogonal Curvilinear Coordinates

A method for computing three-dimensional duct flows is described. The procedure involves iteration between a marching integration of the conservation equations through the flow field and the solution of an elliptic pressure-correction equation. The conservation equations are written in orthogonal curvilinear coordinates. The solution procedure is illustrated by calculations of two-dimensional flow in an accelerating rectangular elbow with 90 deg of turning. An approach to calculating three-dimensional viscous flow, starting with the solution for two-dimensional inviscid flow is suggested. This approach is used in Part II which starts with the results of the present two-dimensional “inviscid” flow calculations.

Hydrodynamics in Tubes Perturbed by Curvilinear Obstructions

1984 ◽  
Vol 106 (3) ◽  
pp. 262-269 ◽  
Author(s):  
A. K. Rastogi
Keyword(s):  
Fluid Flow ◽  
Turbulent Flows ◽  
Separated Flows ◽  
Curvilinear Coordinates ◽  
Two Dimensional ◽  
Governing Equations ◽  
Curved Boundaries ◽  
Numerical Grid ◽  
Orthogonal Curvilinear Coordinates ◽  
Laminar And Turbulent Flows

A calculation procedure for two-dimensional separated flows over curved boundaries, e.g., flow in constricted tubes, is described. The method is based on the numerical solution with finite differences of the governing equations in orthogonal curvilinear coordinates. A body fitted curvilinear orthogonal numerical grid is generated first which is then employed for the solution of partial differential equations governing fluid flow. Results of calculations are presented for laminar and turbulent flows in constricted tubes. For turbulent flow calculations the k-ε turbulence model has been employed. Comparison between computed and measured values of flow quantities is also presented and is discussed in some detail. Although the present paper deals only with constricted pipes, the method developed is general and can be used without difficulty for two-dimensional flows over other curved boundaries.

The substantiation of the formalized estimation of effectiveness of technological and production systems

2018 ◽  
Vol 15 (1) ◽  
pp. 169-181
Author(s):  
M. I. Sidorov ◽  
М. Е. Stavrovsky ◽  
V. V. Irogov ◽  
E. S. Yurtsev
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Production Systems ◽  
Van Der Pol

Using the example of van der Pol developed a mathematical model of frictional self-oscillations in topochemically kinetics. Marked qualitative correspondence of the results of calculation performed using the experimental data of researchers.

scholarly journals Exhaust Noise Reduction by Application of Expanded Collecting System in Pneumatic Tools and Machines

Energies ◽  
2021 ◽  
Vol 14 (6) ◽  
pp. 1592
Author(s):  
Dominik Gryboś ◽  
Jacek S. Leszczyński ◽  
Dorota Czopek ◽  
Jerzy Wiciak
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Noise Reduction ◽  
Sound Pressure ◽  
Acoustic Pressure ◽  
Pressure Level ◽  
Computational Results ◽  
Noise Measurements ◽  
Exhaust Noise ◽  
Collecting System

In this paper, we demonstrate how to reduce the noise level of expanded air from pneumatic tools. Instead of a muffler, we propose the expanded collecting system, where the air expands through the pneumatic tube and expansion collector. We have elaborated a mathematical model which illustrates the dynamics of the air flow, as well as the acoustic pressure at the end of the tube. The computational results were compared with experimental data to check the air dynamics and sound pressure. Moreover, the study presents the methodology of noise measurement generated in a pneumatic screwdriver in a quiet back room and on a window-fitting stand in a production hall. In addition, we have performed noise measurements for the pneumatic screwdriver and the pneumatic screwdriver on an industrial scale. These measurements prove the noise reduction of the pneumatic tools when the expanded collecting system is used. When the expanded collecting system was applied to the screwdriver, the measured Sound Pressure Level (SPL) decreased from 87 to 80 dB(A).

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