Q2/ Answer the following: 1) Separation in flow past a solid object is caused by (a) a favourable (negative ) pressure gradient (b) an adverse ( positive ) pressure gradient (c) the boundary layer thickness reducing to zero 2) In the design, we have to delay the separation point in order to reduce wake size (T/F) 3) Define Mach number, boundary layer and shock wave. 4) when --- , the flow is accelerates if the cross sectional area is increases (а) М<1 (b) М> 1 (c) M =1

Q2/ Answer the following: 1) Separation in flow past a solid object is caused by (a) a favourable (negative ) pressure gradient (b) an adverse ( positive ) pressure gradient (c) the boundary layer thickness reducing to zero 2) In the design, we have to delay the separation point in order to reduce wake size (T/F) 3) Define Mach number, boundary layer and shock wave. 4) when --- , the flow is accelerates if the cross sectional area is increases (а) М<1 (b) М> 1 (c) M =1

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Air at atmospheric pressure and temperature of 25 oC flows at a speed of 10 m/s along a flat plate that is 4 m long and has a uniform surface temperature of 140 oC. Ifcritical Reynolds number of 200,000:a) the local heat transfer kingdom at x = 2; 3; and 4 m from the front rim.b) the average heat transfer balance is 4 m long.c) the rate of heat transfer from the surface of the plate to the air if the width of the plate surface is 2 m.d) game problems b) and c) flow velocity 5 and 20 m/se) What is your analysis and conclusion on this case?
c) What is the region for viscous effect important? And how does the boundary layer thickness vary with the Reynolds number (Re) at i) Low Re with less than 1 ii) Moderate Re, and iii) High Re with more than 104 Please explain and sketch your answer.
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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?…
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Q4) Define the boundary layer, then find the thickness of boundary layer, shear stress, drag force and coefficiet of drag in terms of Re for the velocity profile of laminar boundary layer u/U=4(y/8)-6(y/8)5. Calcate the boundary layer thickness and drag force if the air flows over a sharp edged flat plate 1m long and 0.5m wide at a velocity 0.9m/s, the air density 1.23 kg/m³ and the kinematic viscosity is 1.46*10-5 m/s².
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B) for the velocity profiles given below, state whether the boundary layer has separated or on the verge of separation or will remain attached ( i) u/U=2(y/8) -(y/8)² ii) u/U=-2(y/8) +0.5(y/8)³ iii) u/U-1.5(y/8) +0.5(y/8)³ Q3: Find the displacement, momentum thickness and energy thickness for the velocity distribution in the boundary layer: F u/U=0.5(y/8) + 1.5(y/8)³ Q4: A) Find the velocity distribution and expression of the maximum velocity and shear stress for a flow between two stationary plates. C B) A laminar flow of oil between two horizontal fixed parallel plates with a maximum velocity 2 m/s and 100mm apart. Canulate the pressure gradient and shear stress. Take µ-2.4525 s/m².