Solved GATE Questions on Boundary Layer
Question 1. Flow separation in a flow past a solid object is caused by
(A) A reduction of pressure to vapor pressure
(B) A negative pressure gradient
(C) A positive pressure gradient
(D) The boundary layer thickness reducing to zero
GATE-ME-2002
Hint 1. (Ans B)
Question 2. If x is the distance measured from the leading edge of a flat plate, then laminar boundary layer thickness varies as
(A) 1/x
(B)
(C)
(D)
GATE-ME-2002
Hint 2. (Ans D)
Question 3. If there are m physical quantities and n fundamental dimensions in a particular process, the number of non-dimensional parameter is
(A) m+n
(B)
(C) m-n
(D) m/n
GATE-ME-2002
Hint 3. (Ans C)
Question 4. Consider a laminar boundary layer over a heated flat plate. The free stream velocity is. At some distance x from the leading edge the velocity boundary layer thickness is and the thermal boundary layer thickness is . If the prandtl number is greater than 1, then
(A)
(B)
(C)
(D) )
GATE-ME-2003
Hint 4. (Ans A)
From equation, since prandtl number1
Velocity boundary thickness thermal boundary thickness
Question 5. For air flow over a plate, velocity (U) and boundary layer thickness() can be expressed respectively, as
If the free steam velocity is 2 m/s, and air has kinematic viscosity of 1.5 and density of 1.23 kg/then wall shear stress at x=1m, is
(A) 2.36
(B) 43.6
(C) 4.36
(D) 2.18
GATE-ME-2004
Hint 5. (Ans C)
Given :
Now, shear stress,
Where ,
Hence
Given :
Statement for Linked Answer Question 6 and 7:
A smooth flat plate with a sharp leading edge is placed along a gas stream flowing at U=10 m/s. The thickness of the boundary layer at section r-s=10 mm, the breadth of the plate is 1m (onto the paper) and the density of thegas . Assume that the boundary layer is thin, two dimensional, and follows a linear velocity distribution, , at the section r-s, where y is the height from plate.
Question 6. The mass flow rate (in kg/s) across the section q-r is
(A) Zero
(B) 0.05
(C) 0.10
(D) 0.15
GATE-ME-2006
Hint 6. (Ans B)
Question 7. The integrated drag force (in N) on the plate, between p-s, is :
(A) 0.67
(B) 0.33
(C) 0.17
(D) Zero
GATE-ME-2006
Hint 7. (Ans C)
Integrated drag force
Where
Where
Question 8. A model of a hydraulic turbine is tested at head of 1/4th of that under which the full scale turbine works. The diameter of the model is half of that of the full scale turbine. If N is the RPM of the full scale turbine, the RPM of the model will be
(A) N/4
(B) N/2
(C) N
(D) 2N
GATE-ME-2007
Hint 8. (Ans C)
Mass entering from side q-p = mass leaving from side q-r + Mass leaving the side r-s
From similitude,
Question 9. Consider an incompressible laminar boundary layer flow over a flat plate of length of L, aligned with the direction of an oncoming uniform free stream. If F is the ratio of the drag force on the front half of the plate to the drag force on the rear half, then
(A)
(B)
(C)
(D)
GATE-ME-2007
Hint 9. (Ans D)
A, B, C can be used out easily.
Question 10. Match the following
P : Compressible flow | U : Reynolds number |
Q : Free surface flow | V : Nusselt number |
R : Boundary layer flow | W : Webber number |
S : Pipe flow | X ; Froude number |
T : Heat Convection | Y : Match number |
Z : Skin friction coefficient |
(A) P-U ; Q-X ; R-V ;S-Z ; T-W
(B) P-W ; Q-X ; R-Z ; S-U; T-V
(C) P-Y ; Q-W ; R-Z ; S-U ; T-X
(D) P-Y ; Q-W ; R-Z ; S-U ; T-V
GATE-ME-2010
Hint 10. (Ans D)
Question 11. A phenomenon is modeled using n dimensional variables with k primary dimensions. The number of non-dimensional variables is
(A) k
(B) n
(C) n-k
(D) n+k
GATE-ME-2010
Hint 11. (Ans C)
By Buckingham-pie theorem,
Non dimensional variables,.
Question 12. An incompressible fluid flows over a flat with zero pressure gradient. The boundary layer thickness is 1mm at a location where the Reynolds number is 1000. If the velocity of the fluid alone is increased by a factor 4, then boundary layer thickness at the same location, in mm will be
(A) 4
(B) 2
(C) 0.5
(D) 0.25
GATE-ME-2012
Hint 12. (Ans C)
Answer Keys
1. (B) 2. (D) 3. (C) 4. (A) 5. (C) 6. (B) 7. (C) 8. (C) 9. (D) 10. (D) 11. (C) 12. (C)
2 Responses to “Previous Years GATE Questions on Boundary Layer”
love sharma
when an airfoil reaches the stall angle
love sharma
when an airfoil reaches the stall angle mcq f