Discussion
For laminar flow conditions the thickness of thermal boundary layer increases with its distance from the leading edge in proportion to:
Answer: B
The thermal boundary layer grows in proportion to \(x^{1/2}\).
For laminar flow over a flat plate the velocity boundary layer thickness is \(\delta \approx 5x/\sqrt{Re_{x}}\), and since \(Re_{x} = ux/\nu\),
\[ \delta \propto \frac{x}{\sqrt{x}} = x^{1/2} \]
The thermal boundary layer is \(\delta_{t} \approx \delta\,Pr^{-1/3}\), a constant multiple of \(\delta\), so it too grows as \(x^{1/2}\). Linear growth would apply to neither, and the powers 1/3 and 1/4 do not describe laminar growth on a flat plate.
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