## Related questions with answers

An axial fan $2 \mathrm{~m}$ in diameter is used in a wind tunnel as shown (test section $1.2 \mathrm{~m}$ in diameter; test section velocity of $60 \mathrm{~m} / \mathrm{s}$ ). The rotational speed of the fan is $1800 \mathrm{rpm}$. Assume the density of the air is constant at $1.2 \mathrm{~kg} / \mathrm{m}^3$. There are negligible losses in the tunnel. The performance curve of the fan is identical to that shown in the mentioned figure. Compute the power needed to operate the fan.

Solution

Verified$\textbf{Given data.}$

$\text{Axial fan diameter } D = 2\text{ m}$

$\text{Test section diameter } d = 1.2 \text{ m}$

$U = 60\frac{\text{ m}}{\text{ s}}$

$n = 1800 \text{ rpm}$

$\rho = 1.2 \frac{\text{ kg}}{{\text{ m}}^3}$

$\text{Performance curve of the fan is identical to that shown in Fig 14.7.}$

$\text{Goal is to determine power needed to operate the fan.}$

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