Question

(a) Briefly explain how the boundary layer flow helps in designing an automotive body and an aerofoil. (2 marks) (b) The boundary layer on a rough flat plate with zero pressure-gradient at 20Â°C air is approximated with: Î´ = U - x Take the kinematic viscosity of the working fluid to be 1.51 Ã— 10^-5 m^2/s and the density to be 1.204 kg/m^3 Find the expression of the boundary layer momentum thickness, as a function of x, and the boundary layer thickness, as a function of x. (4 marks) (c) Using the expressions obtained in b i and b ii, determine the power required per unit width to overcome the friction caused by the shear on both sides of the 2-m-long flat-plate wall if it were to cruise at 3 m/s. Also, if Recrit = 310, compute the transition distance when U = 8 m/s. (4 marks)

          (a) Briefly explain how the boundary layer flow helps in designing an automotive body and an aerofoil.
(2 marks)
(b) The boundary layer on a rough flat plate with zero pressure-gradient at 20Â°C air is approximated with:
Î´ = U - x
Take the kinematic viscosity of the working fluid to be 1.51 Ã— 10^-5 m^2/s and the density to be 1.204 kg/m^3
Find the expression of the boundary layer momentum thickness, as a function of x, and the boundary layer thickness, as a function of x.
(4 marks)
(c)
Using the expressions obtained in b i and b ii, determine the power required per unit width to overcome the friction caused by the shear on both sides of the 2-m-long flat-plate wall if it were to cruise at 3 m/s. Also, if Recrit = 310, compute the transition distance when U = 8 m/s. (4 marks)

question 1 a briefly explain how the boundary layer flow helps in designing ian automotive bodyand iian aerofoil 2 marks b the boundary layer on a rough flat plate with zero pressure gradien 81655

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