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Question

In a certain process, oil at 35°C flows over a flat plate at 6 cm/s. The plate is 6 m long is heated uniformly and maintained at the surface
the temperature of 95°C. What will be the thermal boundary layer thickness at the trailing edge of the plate?
At the mean film temperature, tm = 65°C, the relevant fluid properties are
Thermal diffusivity, α = 7.2 x 108 m2/s
Thermal conductivity, k = 0.213 W/mK
Kinematic viscosity, v = 0.65 x 104 m2/s
Density, ρ = 956.8 kg/m3

A
3.897 m
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B
0.0417 m
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C
0.4849 m
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D
0.4032 m
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Solution

The correct option is B 0.0417 m
Reynolds Number,
Re=lUv=6×0.060.05×104=5538.5

flow will be laminar.

Hydrodynamic boundary layer thickness, at x=6

δ=5xRex=5×65538.5=0.4031 m

Prandtl Number,
Pr=vα=0.65×1047.2×108=902.78

Now, theraml boundary layers,
δ1=δ(Pr)1/3=0.4031(902.78)1/3=0.0417 m

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