The Dual Stream Function Representation of an Ideal Steady Fluid Flow and its Local Geometric Structure

2014 ◽  
Vol 17 (1-2) ◽  
pp. 3-25 ◽  
Author(s):  
M. Frewer ◽  
M. Oberlack ◽  
V. N. Grebenev
Keyword(s):  
Fluid Flow ◽  
Stream Function ◽  
Geometric Structure ◽  
Function Representation ◽  
Local Geometric Structure ◽  
Dual Stream Function

FEM Analysis during Extrusion of Round-To-Pentagonal Sections through Converging Dies

2012 ◽  
Vol 500 ◽  
pp. 410-413
Author(s):  
Akshaya Kumar Rout ◽  
Kali Pada Maity
Keyword(s):  
Velocity Field ◽  
Stream Function ◽  
Function Method ◽  
Fem Analysis ◽  
Extrusion Process ◽  
Extrusion Pressure ◽  
Upper Bound Method ◽  
Die Profile ◽  
Deform 3D ◽  
Dual Stream Function

The linearly converging die plays a significant role in the extrusion process of section products in terms of reduction in extrusion load and improvement of product quality. With the help of upper bound method based on dual stream function method. Very few investigations have been reported when product and billet geometry are dissimilar using linear converging die. Dual stream function method is incapable of predicting kinematically admissible velocity field in the above case, SERR technique (Spatial Elementary Rigid Region) is the only alternative. In the present investigation, a reformulated SERR technique has been used to determine non-dimensional extrusion pressure and optimum die profile both for frictionless and friction conditions. SERR technique based on discontinuous velocity field is applicable for this case. In the present investigation, non-dimensional extrusion pressure and optimum die length has been determined for extrusion of pentagonal from round billet and the results are compared with the FEA results by using DEFORM 3D.

Visualization of Streamline Fluid Flow with Bézier Surface

2010 ◽  
Vol 108-111 ◽  
pp. 651-656
Author(s):  
Xiao Lin Lu
Keyword(s):  
Fluid Flow ◽  
Stream Function ◽  
Flow Model ◽  
Fluid Motion ◽  
Visualization Method ◽  
Constraint Condition ◽  
Bézier Surface ◽  
Bezier Surface ◽  
Design And Manufacturing ◽  
Control Mesh

Streamline visualization is very important for the fluid dynamics and manufacture design. The visualization method constructed by the stream function and fluid flow model can not interactively change the visualization shapes upon the request to amend the surface. This paper presents a new visualization method with Bézier control mesh to achieve the streamline fluid flow visualization. The stream function is in accordance with the principles of fluid motion by using Bézier surfaces to find the constraint condition. The constructed surfaces can be interactively modified accurately to reflect the local details of the flow field to meet the engineering requirements. The streamline visualization can be modified and controlled interactively by a set of control parameters like the Bézier surface. It has an important practical value for fluid flow design and manufacturing.

Deducing Stream Function N-S Equation from Classic N-S Equation and its Verification

2014 ◽  
Vol 950 ◽  
pp. 201-204
Author(s):  
Guo Xin Yan ◽  
Wei Wu ◽  
Shi Jiang Zhu
Keyword(s):  
Fluid Flow ◽  
Stream Function ◽  
Governing Equation ◽  
Basic Equation ◽  
Sudden Expansion ◽  
Advantages And Disadvantages

N-S equation is basic equation of fluid flow. Based on N-S equation, it deduced two different forms of governing equation which refer to turbulent-stream function equation and stream function equation. It analyzed their characteristics including advantages and disadvantages. The sudden expansion flow was calculated using turbulent-stream function N-S equation and stream function N-S equation separately. The results showed that both of them can have good effects.

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