# Shape Factor

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 August 20, 2014, 04:44 Shape Factor #1 Member   venkatesh Join Date: May 2012 Posts: 93 Rep Power: 14 I am analyzing transition point over NACA 4412 airfoil at low Reynolds number using Transition Kw-SST model. I am using FLUENT for simulation. I dont know how to plot Shape factor from FLUENT result. I know that Shape factor can be calculated using the relation where H is the shape factor, is the displacement thickness and θ is the momentum thickness.The definition of displacement thickness, δ for incompressible flow is Where and are the density and velocity in the 'free stream' outside the boundary layer, and is the coordinate normal to the wall. The definition of Momentum thickness for incompressible flow is I read in a post that velocity profile can be obtained by creating a line perpendicular to the surface at the point of interest. and with the help of that line velocity variation can be plotted. I don't know how to plot shape factor in fluent. Can anybody please help me in this regard.

 August 20, 2014, 12:19 #2 New Member   Join Date: Aug 2014 Posts: 2 Rep Power: 0 You should get the parameters such as velocity and density along the line and then you can calculate the shape factor.

 August 20, 2014, 14:03 #3 Member   venkatesh Join Date: May 2012 Posts: 93 Rep Power: 14 i am able to obtain velocity, density along the line but i dont know what to do next and how to manipulate these values to obtain displacement thickness, Momentum thickness and Shape factor

August 20, 2014, 22:12
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 Originally Posted by venkat_aero2007 i am able to obtain velocity, density along the line but i dont know what to do next and how to manipulate these values to obtain displacement thickness, Momentum thickness and Shape factor
You obtain these tow parameters and with the distance to the wall,you can calculate the value of the thickness displacement and momentum displacement by the equations you list above using a program or matlab. Then you work is done.