Question

A flow suction mechanism is created at the trailing edge of a thin flat plate of length L as sketched below. The flow slightly above the plate can be described by a potential flow $U_e(x) = \frac{M}{2\pi(L-x)}$ where M is the suction strength and the flow very near the plate forms a laminar boundary layer. 1. Use Karman integral equation with a 3<sup>rd</sup> order polynomial considering pressure gradient to find an expression for the wall shear stress $\tau_{w1}(x)$ 2. Apply Thwaite's method get another estimation $\tau_{w2}(x)$ using the single $\lambda$ parameter solution. 3. Analyze the results in (2) or evaluate it at a few points to show how the wall stress evolves along x. 4. If we take $U_e(0)$ to approximate a uniform incoming flow, compare the finding in (3) to Blasius solution. Do you see a faster or slower growth of wall shear stress along x? Explain the effect of trailing edge suction on manipulating the wall stress?

          A flow suction mechanism is created at the trailing edge of a thin flat plate of length L as sketched below. The flow slightly above the plate can be described by a potential flow $U_e(x) = \frac{M}{2\pi(L-x)}$ where M is the suction strength and the flow very near the plate forms a laminar boundary layer.

1. Use Karman integral equation with a 3<sup>rd</sup> order polynomial considering pressure gradient to find an expression for the wall shear stress $\tau_{w1}(x)$
2. Apply Thwaite's method get another estimation $\tau_{w2}(x)$ using the single $\lambda$ parameter solution.
3. Analyze the results in (2) or evaluate it at a few points to show how the wall stress evolves along x.
4. If we take $U_e(0)$ to approximate a uniform incoming flow, compare the finding in (3) to Blasius solution. Do you see a faster or slower growth of wall shear stress along x? Explain the effect of trailing edge suction on manipulating the wall stress?

A flow suction mechanism is created at the trailing edge of a thin flat plate of length L as sketched below. The flow slightly above the plate can be described by a potential flow Ue(x) = (M)/(2π(L-x)) where M is the suction strength and the flow very near the plate forms a laminar boundary layer.

1. Use Karman integral equation with a 3<sup>rd</sup> order polynomial considering pressure gradient to find an expression for the wall shear stress τw1(x)
2. Apply Thwaite's method get another estimation τw2(x) using the single λ parameter solution.
3. Analyze the results in (2) or evaluate it at a few points to show how the wall stress evolves along x.
4. If we take Ue(0) to approximate a uniform incoming flow, compare the finding in (3) to Blasius solution. Do you see a faster or slower growth of wall shear stress along x? Explain the effect of trailing edge suction on manipulating the wall stress?

Added by Megan R.

Question

Please give Ace some feedback