Question 1 (a) State 3 characteristics of free-stream flow outside a boundary layer. '(1.5 mark) (b) To determine boundary-layer characteristics on a body, for example the boundary-layer thickness, the potential-flow solution is first to be known. What would be the information used from the potential-flow solution? Choose one answer and justify your answer. (i) The lift and drag acting on the body (ii) The velocity and pressure at the boundary of the body (iii) The shearing stress acting on the boundary of the body (iv) The normal and shearing stress acting on the boundary of the body *(2 marks) (c) If the velocity profile in a boundary layer was approx imated by the quadratic distribution u = Ay + By + C , what are the boundary condition(s) that would be required to satisfy the following profile: u "(1.5 marks) Prove that the expression for wall shear stress using Von Karman Momentum Integral equation based on the above velocity profile approximation to be as: To = 0.365 Rex (5 marks)

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Your Question:
Question 1
(a)
State 3 characteristics of free-stream flow outside a boundary layer.
'(1.5 mark)
(b) To determine boundary-layer characteristics on a body, for example the boundary-layer
thickness, the potential-flow solution is first to be known. What would be the information
used from the potential-flow solution? Choose one answer and justify your answer.
(i) The lift and drag acting on the body
(ii) The velocity and pressure at the boundary of the body
(iii) The shearing stress acting on the boundary of the body
(iv) The normal and shearing stress acting on the boundary of the body
*(2 marks)
(c) If the velocity profile in a boundary layer was approx imated by the quadratic distribution
u = Ay + By + C , what are the boundary condition(s) that would be required to satisfy
the following profile:
u
"(1.5 marks)
Prove that the expression for wall shear stress using Von Karman Momentum Integral
equation based on the above velocity profile approximation to be as:
To = 0.365
Rex
(5 marks)
Transcribed Image Text:Question 1 (a) State 3 characteristics of free-stream flow outside a boundary layer. '(1.5 mark) (b) To determine boundary-layer characteristics on a body, for example the boundary-layer thickness, the potential-flow solution is first to be known. What would be the information used from the potential-flow solution? Choose one answer and justify your answer. (i) The lift and drag acting on the body (ii) The velocity and pressure at the boundary of the body (iii) The shearing stress acting on the boundary of the body (iv) The normal and shearing stress acting on the boundary of the body *(2 marks) (c) If the velocity profile in a boundary layer was approx imated by the quadratic distribution u = Ay + By + C , what are the boundary condition(s) that would be required to satisfy the following profile: u "(1.5 marks) Prove that the expression for wall shear stress using Von Karman Momentum Integral equation based on the above velocity profile approximation to be as: To = 0.365 Rex (5 marks)
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