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1 Department: Material science and engineering Discipline: Finite element method By: Anelia Ivanova To: Prof. V. Iliev Subject : Hydrodynamics Simulation
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2 Table of contents Review of the problem Creation of geometry Meshing Defining the material property Boundary conditions Results Answers on some questions
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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 V 2, the values of the h and the viscosity. Assignment: Review of the problem
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4 Creation of geometry
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5 h = 15 mm h = 30 mm h = 45 mm
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6 Meshing
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9 Defining the material properties
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10 Defining the material properties
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11 Defining the material properties
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12 Defining the material properties
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13 Boundary Conditions
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14 Boundary Conditions
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15 Boundary Conditions
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16 Solution
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17 Results The stream lines when h =15 mm
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18 Results The pressure field when h = 30 mm
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19 Results The velocity field when h = 45 mm
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20 Dependence between the mean velocities at the outlet and the distance h of the flap
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21 Answers of the questions 1.What does the term “incompressible fluid” mean and where it is treated in the solution? Incompressible fluid Incompressible 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 it is treated in the ? 2. What does the term “Newtonian fluid” mean and where 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 Newtonian and 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 ]
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22 Answers of the questions 3. What element type was used? The type of the elements which was used is tetrahedra. 4. What element options were used?
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23 5. How many nodes and elements were created? Answers of the questions h = 15 mm h = 30 mm h = 45 mm
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24 6. What is the % error for your solution? Answers of the questions h = 15mm h = 30mm h = 45mm
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