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Question 3 a) Neglecting freestream turbulence, the decelerating freestream velocity profile over a flat plate is given by, u = u₁ (1-x/L)", with L=10m. i) Estimate the point where the separation occurs, for n=1,2,3,4. ii) Consider the case when n=2 and estimate the momentum thickness at the separation point by the Walz-Thwaites's method. iii) Use Michel's method (after 1 iteration) to predict transition when u₁ = 10m/s and obtain an equation for the location of the transition point, x,,. State the assumption that was made to obtain the result. iv) Is x,, upstream or downstream of the point where separation occurs? b) If u is unknown, using Michel's formula for transition, find the value of u₁ = u₁_col that both separation and transition occur at the point of separation. (i.e. the two points are co-located.) such When, u > u₁_col, state whether the transition point x, is upstream (towards the leading edge) or downstream (towards the trailing edge) of the point where separation occurs? Take the kinematic viscosity to be: v=1.5×105 m² 5m²/s.

Question 3 a) Neglecting freestream turbulence, the decelerating freestream velocity profile over a flat plate is given by, u = u₁ (1-x/L)", with L=10m. i) Estimate the point where the separation occurs, for n=1,2,3,4. ii) Consider the case when n=2 and estimate the momentum thickness at the separation point by the Walz-Thwaites's method. iii) Use Michel's method (after 1 iteration) to predict transition when u₁ = 10m/s and obtain an equation for the location of the transition point, x,,. State the assumption that was made to obtain the result. iv) Is x,, upstream or downstream of the point where separation occurs? b) If u is unknown, using Michel's formula for transition, find the value of u₁ = u₁_col that both separation and transition occur at the point of separation. (i.e. the two points are co-located.) such When, u > u₁_col, state whether the transition point x, is upstream (towards the leading edge) or downstream (towards the trailing edge) of the point where separation occurs? Take the kinematic viscosity to be: v=1.5×105 m² 5m²/s.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.29P: Air at 20C flows at 1 m/s between two parallel flat plates spaced 5 cm apart. Estimate the distance...
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Question 3 a) Neglecting freestream turbulence, the decelerating freestream velocity profile over a flat plate is given by, u = u₁ (1-x/L)", with L=10m. i) Estimate the point where the separation occurs, for n=1,2,3,4. ii) Consider the case when n=2 and estimate the momentum thickness at the separation point by the Walz-Thwaites's method. iii) Use Michel's method (after 1 iteration) to predict transition when u₁ = 10m/s and obtain an equation for the location of the transition point, x,,. State the assumption that was made to obtain the result. iv) Is x,, upstream or downstream of the point where separation occurs? b) If u is unknown, using Michel's formula for transition, find the value of u₁ = u₁_col that both separation and transition occur at the point of separation. (i.e. the two points are co-located.) such When, u > u₁_col, state whether the transition point x, is upstream (towards the leading edge) or downstream (towards the trailing edge) of the point where separation occurs? Take the kinematic viscosity to be: v=1.5×105 m² 5m²/s.
Transcribed Image Text:Question 3 a) Neglecting freestream turbulence, the decelerating freestream velocity profile over a flat plate is given by, u = u₁ (1-x/L)", with L=10m. i) Estimate the point where the separation occurs, for n=1,2,3,4. ii) Consider the case when n=2 and estimate the momentum thickness at the separation point by the Walz-Thwaites's method. iii) Use Michel's method (after 1 iteration) to predict transition when u₁ = 10m/s and obtain an equation for the location of the transition point, x,,. State the assumption that was made to obtain the result. iv) Is x,, upstream or downstream of the point where separation occurs? b) If u is unknown, using Michel's formula for transition, find the value of u₁ = u₁_col that both separation and transition occur at the point of separation. (i.e. the two points are co-located.) such When, u > u₁_col, state whether the transition point x, is upstream (towards the leading edge) or downstream (towards the trailing edge) of the point where separation occurs? Take the kinematic viscosity to be: v=1.5×105 m² 5m²/s.
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