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3. The equations for boundary layer thickness are different for turbulent flow and are given as Eqns. 1 and 2 . These equations were derived

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3. The equations for boundary layer thickness are different for turbulent flow and are given as Eqns. 1 and 2 . These equations were derived by using an empirical relationship for turbulent flow. This empirical relationship is sometimes referred to as the 17th law. We will discuss this in more detail in a future lecture. You do not need this detail to complete this problem. The parameter x is the point of transition from a laminar boundary layer to a turbulent boundary layer. Assume that Rexs is 5105. Plot the boundary layer thickness and shear stress at the wall for air (velocities are 0.1, 10 and 100m/s ) as a function of x for both regions of laminar flow and regions of turbulent flow on the same graph. t(x)=[t(xtr)45+0.29(U)43(xxtr)]54xy(x)wall,t=0.0296U2(Ux)31

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