## Related questions with answers

Question

Air is flowing in a wind tunnel at $25^{\circ} \mathrm{C},$ 95 kPa, and 250 m/s. The stagnation pressure at the location of a probe inserted into the flow section is (a) 184 kPa (b) 96 kPa (c) 161 kPa (d) 122 kPa (e) 135 kPa

Solution

VerifiedStep 1

1 of 2The stagnation pressure is determined from the usual relation where the stagnation temperature is expressed through the given static temperature and velocity:

$\begin{align*} P_{0}&=P\bigg(1+\dfrac{v^{2}}{2c_{p}T}\bigg)^{k/(k-1)}\\ &=95\bigg(1+\dfrac{250^{2}}{2\cdot1005\cdot298}\bigg)^{1.4/(1.4-1)}\:\text{kPa}\\ &=\boxed{134.5\:\text{kPa}} \end{align*}$

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