Fluid #1: Flow Over a 
        Flat Plate
        
         
        
        Introduction: 
        In this example you 
        will solve for the air flow velocity for flow over the flat plate, based 
        on the specified velocity, pressure boundary conditions, and the plate 
        dimensions.
        
         
        
        Physical Problem: 
        Compute and plot 
        the velocity distribution of a flow of air over a flat plate.
        
         
        
        Problem Description:
        
          |  | 
          The dimensions of 
          the plate are as shown in the figure.  | 
          |  | 
          Objective: 
           
            |  | 
            To plot the 
            velocity profile around the plate.  |  | 
          |  | 
          You are required to 
          hand in print outs for the above.  | 
          |  | 
          Dimensions:
           
            |  | 
            The plate is 2 
            m long and is very thin.  ANSYS does not allow infinitesimally 
            thin models so the plate is given a thickness of 0.001 m. 
             |  |  | 
            The plate is 
            situated within a 4 m square.  This arbitrary size serves to 
            set up the boundary conditions of air traveling over the plate.
             |  |  | 
            The velocity 
            of the air at infinite distance from the plate is 2 m/s.
             |  |  | 
            Atmospheric 
            pressure 
            is assumed on all faces except the face where velocity is input into 
            the system.  |  | 
        
        
         
        
          |  | 
          Material Properties 
          (Air):
           
            |  | 
            Density D=1.23 
            kg/m3  |  |  | 
            Viscosity ρ = 
            1.79E-5 N-s/m2  |  | 
        
        
         
        
          |  | 
          Figure:
           | 
        
        
         
    
        
         
        
          |  | 
          Create the larger 
          area, then the area defining the plate. | 
          |  | 
          Subtract the 
          smaller area from the larger plate. | 
          |  | 
           Define 
          the Element Properties as a 2D Air ElementDefine the Material 
          Properties of the Air Element (Density and Viscosity are the 
          important qualities) | 
          |  | 
          Mesh the plate with 
          a mesh size of 0.01 on the edges of the inner plate, and 0.2 
          on the edges of the outer plate.  | 
          |  | 
          Apply Boundary 
          Conditions (No Slip along the edges of the inner plate, velocity along 
          the left line of the large plate, and Atmospheric Pressure (P=0 in 
          ANSYS) along the top, right and bottom lines of the large plate.
           | 
          |  | 
          Iterate 400 times 
          and solve. (Ideally the iteration count would be at least several 
          thousand times to make sure that the solution converges… but 
          computational time dictates that in order to be able to solve the 
          problem in a reasonable amount of time, the iteration number should be 
          trimmed down to 400)  | 
          |  | 
          Plotting the 
          Velocity distribution in the X direction, this is the answer you 
          should obtain with 400 iterations:   | 
        
        
 
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
        
        
        
        