1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova...
-
Upload
darren-morgan -
Category
Documents
-
view
212 -
download
0
Transcript of 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova...
![Page 1: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/1.jpg)
1
Department: Material science and engineering
Discipline: Finite element method
By: Anelia Ivanova To: Prof. V. Iliev
Subject : Hydrodynamics Simulation
![Page 2: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/2.jpg)
2
Table of contents
Review of the problem
Creation of geometry
Meshing
Defining the material property
Boundary conditions
Results
Answers on some questions
![Page 3: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/3.jpg)
3
Incompressible Newtonian fluid flows through the valve is controlled by distance h of the flap A. The fluid velocity at the inlet is 2 m/s.
Submit:
The stream lines when h = 15 mm.
The pressure field when h = 30 mm.
The velocity field when h = 45 mm.
The dependence between the mean velocity V2, the values of the h and the viscosity.
Assignment:
Review of the problem
![Page 4: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/4.jpg)
4
Creation of geometry
![Page 5: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/5.jpg)
5
Creation of geometry
h = 15 mm h = 30 mm
h = 45 mm
![Page 6: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/6.jpg)
6
Meshing
![Page 7: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/7.jpg)
7
Meshing
![Page 8: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/8.jpg)
8
Meshing
![Page 9: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/9.jpg)
9
Defining the material properties
![Page 10: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/10.jpg)
10
Defining the material properties
![Page 11: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/11.jpg)
11
Defining the material properties
![Page 12: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/12.jpg)
12
Defining the material properties
![Page 13: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/13.jpg)
13
Boundary Conditions
![Page 14: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/14.jpg)
14
Boundary Conditions
![Page 15: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/15.jpg)
15
Boundary Conditions
![Page 16: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/16.jpg)
16
Solution
![Page 17: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/17.jpg)
17
ResultsThe stream lines when h =15 mm
![Page 18: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/18.jpg)
18
ResultsThe pressure field when h = 30 mm
![Page 19: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/19.jpg)
19
ResultsThe velocity field when h = 45 mm
![Page 20: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/20.jpg)
20
2,65
2,7
2,75
2,8
2,85
10 15 20 25 30 35 40 45 50
Distance h of the flap [mm]
Mean v
elo
cit
y [m
/s]
Dependence between the mean velocities at the outlet Dependence between the mean velocities at the outlet and the distance and the distance hh of the flap of the flap
![Page 21: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/21.jpg)
21
Answers of the questions1.1. What does the term “incompressible fluid” mean and where What does the term “incompressible fluid” mean and where
it is treated in the solution?it is treated in the solution?
Incompressible fluidIncompressible fluid is a fluid which is not reduced in volume by an increase in pressure.
2. What does the term “Newtonian fluid” mean and where 2. What does the term “Newtonian fluid” mean and where it is treated in the it is treated in the solution??
A Newtonian fluid is a fluid whose stress at each point is linearly proportional to its strain rate at that point. All gases are Newtonianand most common liquids such as water, hydrocarbons, and oils. A simple equation to describe Newtonian fluid behaviour is
where is the shear stress exerted by the fluid , [Pa] μ is the fluid viscosity , [Pa.s] (du/dy) is the velocity gradient perpendicular to the direction of shear,[s-1]
du
dy
![Page 22: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/22.jpg)
22
Answers of the questions3. What element type was used?3. What element type was used?
The type of the elements which was used is tetrahedra.
4. What element options were used?4. What element options were used?
![Page 23: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/23.jpg)
23
5. How many nodes and elements were created?5. How many nodes and elements were created?
Answers of the questions
h = 15 mm h = 30 mm h = 45 mm
![Page 24: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/24.jpg)
24
6. What is the % error for your solution?6. What is the % error for your solution?
Answers of the questions
h = 15mm
h = 30mm
h = 45mm
![Page 25: 1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation.](https://reader030.fdocuments.in/reader030/viewer/2022032607/56649ebb5503460f94bc3c8d/html5/thumbnails/25.jpg)
25