Air $(20^{o} C)$ is flowing with a Reynolds number of $10^{6}$ over a heated flat plate. The variation of heat transfer coefficient with distance, which is measured from leading edge, is given by,

h \propto x^{- 0.2}

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h \propto x^{0.8}

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h \propto x^{- 0.8}

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h \propto x^{- 0.5}

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Solution

The correct option is A $h \propto x^{- 0.2}$
$R e = 10^{6} > 5 \times 10^{5} (f l o w i s t u r b u l e n t)$

For turbulent flow

$N u \propto (R e)^{0.8} (P r)^{n}$

$N u \propto {(\frac{V . x}{v})}^{0.8}$

$\frac{h . x}{k} \propto (x)^{0.8}$

$h \propto x^{0.8 - 1}$

$h \propto x^{- 0.2}$

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Similar questions

h_{x}

x^{- 1 / 2}

50^{o} C

20^{o} C

80^{o} C

4.5 \times 10^{- 4}

20^{o} C

60^{o} C

40^{o} C

C_{p} = 1.007 \frac{k J}{k g K} μ = 1.906 \times 10^{- 5} \frac{k g}{m - s} a n d ρ = 1.128 k g / m^{3} .

U s e ¯ ¯¯¯¯¯¯ ¯ N u = P r^{\frac{1}{3}} (0.036 R_{e}^{0.8} - 871)

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