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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself:An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness is 1 mm at a location where the Reynolds number is 1000. If the velocity of the fluid alone is increased by a factor of 4, then the boundary layer thickness at the same location, in mm will be
[2012]
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself:Consider an incompressible laminar boundary layer flow over a flat plate of length L, aligned with the direction of an incoming 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
[2007]
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself: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 is 10 mm, the breadth of the plate is 1 m (into the paper) and the density of the gas, r = 1.0 kg/m3. Assume that the boundary layer is thin, two-dimensional, and follows a linear velocity distribution, u = U , at the section r-s, where y is the height from plate.
The integrated drag force (in N) on the plate, between p – s, is
The integrated drag force (in N) on the plate, between p – s, is
[2006 ]
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself: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 is 10 mm, the breadth of the plate is 1 m (into the paper) and the density of the gas, r = 1.0 kg/m3. Assume that the boundary layer is thin, two-dimensional, and follows a linear velocity distribution, u = U , at the section r-s, where y is the height from plate.
The mass flow rate (in kg/s) across the section q – r is
, at the section r-s, where y is the height from plate.
The mass flow rate (in kg/s) across the section q – r is
[2006]
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself:If x is the distance measured from the leading edge of a flat plate, then laminar boundary layer thickness varies as
[2002]
for laminar flow
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself:Flow separations flow past a solid object is caused by
[2002]
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself:The predominant forces acting on an element of fluid in the boundary layer over a flat plate in a uniform parallel stream are
[1990]
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself: The instantaneous stream wise velocity of a turbulent flow is given as follows:
u(x, y, z, t) =(x, y, z) + u'(x, y, z, t) The time average of the fluctuating velocity u (x, y, z, t) is
u(x, y, z, t) =
(x, y, z) + u'(x, y, z, t) The time average of the fluctuating velocity u (x, y, z, t) is
[2016]
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself: Consider the turbulent flow of a fluid through a circular pipe of diameter D. Identify the correct pair of statements
.I. The fluid is well-mixed
II. The fluid is unmixed
III.ReD < 2300
IV. ReD > 2300
.I. The fluid is well-mixed
II. The fluid is unmixed
III.ReD < 2300
IV. ReD > 2300
[2014]
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself:Match the following
P: Compressible flow U: Reynolds number
Q: Free surface flow V: Nusselt number
R: Boundary layer flow W: Weber number
S: Pipe flow X: Froude number
T: Heat convection Y: Mach number
Z: Skin friction coefficient
P: Compressible flow U: Reynolds number
Q: Free surface flow V: Nusselt number
R: Boundary layer flow W: Weber number
S: Pipe flow X: Froude number
T: Heat convection Y: Mach number
Z: Skin friction coefficient
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself:A phenomenon is modeled using-n dimensional variables with k primary dimensions. The number of non-dimensional variables is
[2010]
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself:Prandtl's mixing length in turbulent flow signifies
[1994]
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Question for GATE Past Year Questions: Boundary Layer Theory
Try yourself:The parameters which determines the friction factor for turbulent flow in a rough pipe are
[1988]
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[Question:504379]
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FAQs on GATE Past Year Questions: Boundary Layer Theory - Fluid Mechanics for Mechanical Engineering
| 1. What is boundary layer theory? |  |
Ans. Boundary layer theory is a concept in fluid dynamics that explains the behavior of a thin layer of fluid near a solid surface. It provides a mathematical framework to study the transition from laminar to turbulent flow and helps in understanding the flow characteristics near boundaries.
| 2. What are the types of boundary layers? | |
Ans. There are two types of boundary layers: laminar boundary layer and turbulent boundary layer. In a laminar boundary layer, the fluid flows smoothly in parallel layers, while in a turbulent boundary layer, the fluid flows in a chaotic and irregular manner.
| 3. How is boundary layer thickness calculated? | |
Ans. The boundary layer thickness can be calculated using the momentum thickness (θ) or displacement thickness (δ). The momentum thickness is defined as the integral of the normalized velocity profile, while the displacement thickness is the integral of the difference between the actual and freestream velocity profiles.
| 4. What is the significance of the boundary layer in aerodynamics? | |
Ans. The boundary layer plays a crucial role in aerodynamics as it affects the drag, lift, and overall performance of an aircraft. Understanding the behavior of the boundary layer helps in designing efficient airfoils, reducing drag, and optimizing the performance of aircraft.
| 5. How does the boundary layer affect heat transfer? | |
Ans. The boundary layer affects heat transfer by influencing the convection process. In a laminar boundary layer, heat transfer occurs primarily by conduction, while in a turbulent boundary layer, convection becomes the dominant mode of heat transfer. The thickness and characteristics of the boundary layer determine the rate of heat transfer from a solid surface to the fluid.
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