Question

A smooth flat plate of length ℓ = 4 m and width b = 2 m is
placed in water with an upstream velocity of U = 0.1 m/s.

1) Is the flow laminar or turbulent?

2) Determine the boundary layer thickness at the center and the
trailing edge of the plate.

3) Determine the wall shear stress at the center and the trailing
edge of the plate.

Answer #1

**The detailed solution is given below.**

Air at free-stream velocity of 9 m/s flows over a thin flat
plate of length 3 m and width 1.5 m. A laminar boundary layer
develops from the leading edge of the flat plate. At Rex = 500 000,
the boundary layer becomes a turbulent boundary layer where x is
the distance from the leading edge. ρair = 1.2 kg/m3 , μair = 1.8 x
10-5 kg/m.s (a) Estimate the length of the laminar boundary layer.
(b) Estimate the drag...

L = 6 m long and w = 4 m wide, smooth, flat plate, upstream
speed
It is placed in water where U = 0.5 m / s. Plate by accepting
laminar boundary layer
over:
a) boundary layer thicknesses (separately at x = L / 2 and at the
exit end of the plate).
b) wall shear stresses (separately at x = L / 2 and at the outlet
end of the plate).
Calculate.
For water: ? = 1000 ??...

If water flows along both sides of a 5 m-long flat plate with a
velocity of 60 m/s at 20oC, what will be the boundary
layer thickness (cm) at a position 4 m from the leading edge?
Indicate whether the boundary layer is laminar or turbulent.
Calculate the total drag force (N or kg m/s2) on the
plate if each surface of the plate is 550 m2.

A
smooth rectangular plate 0.6 m wide by 24m long moves at a speed of
12 m / sec in the direction of its length through a mass of oil.
Calculate the resistance on the plate and the thickness of the
boundary layer at the trailing edge.

In a lab experiment for a flat plate zero-pressure gradient
boundary layer it is desired to find the friction coefficient (Cf)
at location x=1 m from the leading edge of the plate. In order to
do this, the momentum thickness of the boundary layer is measured
at two locations 0.005m on either side of x=1m. the momentum
thickness is measured to be 1.638 mm at x=0.995m and 1.652mm at
x=1.005m, respectively, when the approach or free-stream velocity
is 5m/s.
a)...

A square plate of 0.5 m length is heated to
temperature of 383 K. Air at 293 K and 1 atm flows over the plate
at 15 m/s. Calculate the total heat transferred. Determine the
convection heat transfer coefficient, thermal boundary layer, and
the velocity boundary layer at the trailing edge of the plate.

Found the boundary layer flow on the flow through the flat plate
in the water tunnel. The length of the plate is, L = 30 cm and
width b = 1 m. Meanwhile freestream speed is, U = 2 m / s with the
speed profile is parabolic and. Draw, and the x / L, by formulating
it !
Please answer this question

A plate of length 30 mm in the direction of the flow, a
width of 45 mm and thickness of 1mm, has a surface temperature of
78oC is placed in a stream of air at a temperature of
30oC and velocity of 3.5m/s . Calculate:
The heat loss from the top and bottom of the
plate
The heat loss from a cylinder 5cm long and has the same
volume as the plate and placed across the flow.
for air: ν=...

Consider a vertical parallel-plate channel of indefinite length,
with walls at different temperatures. The channel width is 2L and
the wall temperatures are T1 and T2. It is assumed that T2 > T1.
In this system, the heat fluxes in and out of the fluid will come
into balance, yielding a thermally fully developed region with no
streamwise temperature variations. With the temperature (and
buoyancy) force independent of x, it is feasible to have fully
developed flow.
(a) Sketch the...

there is a plate with 2ft width, 4ft length and 130°F
of the surface temperature. awater with 50°F of temperature flows
on this plate with 9ft/s velocity. Calculate the average heat
transfer coefficient and the convective heat loss in this plate.
For the calculation please use the following constant
properties.
heat conductivity(k)=0.36 Btu/(hr ft °F)
viscosity=5.14×10^(-4) lbm/(ft s)
density=62.11 lbm/(ft^(3))
Pr=5.12
Nu=0.036×Pr^(1/3)×Re^(2/3):laminar flow
Nu=0.036×Pr^(1/3)×(Re^(0.8)-23200):turbulent flow

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