The aim of the project is to get familiar with Matlab toolbox related to fluid mechanics...

Transcribed Image Text:

The aim of the project is to get familiar with Matlab toolbox related to fluid mechanics and therefore use them to solve a typical problem or application. We will consider the drag force in this project over a cylinder. A small cylinder of diameter 15 mm is placed in a 100 mm height, 45mm depth and 150 mm length (between sections 1 and 2) wind tunnel. The pressure and velocity are uniform at section 1 with a value of 1 atm and 12.5 m/s respectively. Part A: numerical simulation setup a) Draw the geometry (2D) on Matlab CFDtool without the support holding the cylinder. b) Specify the type of fluid and its properties at 20°C (air). c) Use a very fine mesh in order for the solution to converge to an acceptable solution. d) Specify the boundary conditions for the fluid. Inlet velocity/ exit pressure (0 Pa gage) and wall for the solid boundaries. e) Run the simulation and obtain results for velocity distribution, pressure distribution and streamlines. Part B: Results processing a) Based on the results obtained, draw (using Matlab or Excel) the velocity and pressure distributions at sections 1 and 2 (P = P(y) and u= u(y)). You can obtain the values from the CFD image by clicking on a certain point in the domain. b) Using a fitting procedure (on Excel or Matlab if possible) determine the equations for the profiles. c) Using R-T-T for the linear momentum equation deduce the drag force, FD, which acts in the x-direction for a C.V. between section 1 and 2. Deduce the drag coefficient based on the following equation: CD 2.FD p.A.UZ Where A is the cylinder cross-sectional area and U is the free stream velocity (at 1). p.U.D U.D Re= μ d) Compare your results with the figure below where Reynolds is 100 60 40 20 10 6 CD 4 2 1 0.6 0.4 0.2 0.1 246 2 462 46 10¹ 10² 10³ Re-udv Drag coefficient for circular cylinders as a function of the Reynolds number 10-2 246 10⁰ 2 46 104 2.46 105 2 46 106 The aim of the project is to get familiar with Matlab toolbox related to fluid mechanics and therefore use them to solve a typical problem or application. We will consider the drag force in this project over a cylinder. A small cylinder of diameter 15 mm is placed in a 100 mm height, 45mm depth and 150 mm length (between sections 1 and 2) wind tunnel. The pressure and velocity are uniform at section 1 with a value of 1 atm and 12.5 m/s respectively. Part A: numerical simulation setup a) Draw the geometry (2D) on Matlab CFDtool without the support holding the cylinder. b) Specify the type of fluid and its properties at 20°C (air). c) Use a very fine mesh in order for the solution to converge to an acceptable solution. d) Specify the boundary conditions for the fluid. Inlet velocity/ exit pressure (0 Pa gage) and wall for the solid boundaries. e) Run the simulation and obtain results for velocity distribution, pressure distribution and streamlines. Part B: Results processing a) Based on the results obtained, draw (using Matlab or Excel) the velocity and pressure distributions at sections 1 and 2 (P = P(y) and u= u(y)). You can obtain the values from the CFD image by clicking on a certain point in the domain. b) Using a fitting procedure (on Excel or Matlab if possible) determine the equations for the profiles. c) Using R-T-T for the linear momentum equation deduce the drag force, FD, which acts in the x-direction for a C.V. between section 1 and 2. Deduce the drag coefficient based on the following equation: CD 2.FD p.A.UZ Where A is the cylinder cross-sectional area and U is the free stream velocity (at 1). p.U.D U.D Re= μ d) Compare your results with the figure below where Reynolds is 100 60 40 20 10 6 CD 4 2 1 0.6 0.4 0.2 0.1 246 2 462 46 10¹ 10² 10³ Re-udv Drag coefficient for circular cylinders as a function of the Reynolds number 10-2 246 10⁰ 2 46 104 2.46 105 2 46 106

Answer rating: 100% (QA)

Part A Numerical Simulation Setup a Draw Geometry in MATLAB CFDtool Use the PDE Toolbox in MATLAB to ... View the full answer