College

We appreciate your visit to Air is flowing in a wind tunnel at 15 C 80 kPa and 200 m s The stagnation pressure at the probe inserted into the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Air is flowing in a wind tunnel at 15°C, 80 kPa, and 200 m/s. The stagnation pressure at the probe inserted into the flow section is

(a) 82 kPa
(b) 91 kPa
(c) 96 kPa
(d) 101 kPa
(e) 114 kPa

Answer :

The answer is (c). The stagnation pressure at the probe inserted into the flow section is 96 kPa

To solve this problem, we need to use the Bernoulli's equation, which relates the pressure, velocity, and height of a fluid at any two points along a streamline. In this case, the streamline is the air flowing through the wind tunnel.
The Bernoulli's equation is:
P + 0.5 * ρ * V² = constant
where P is the pressure, ρ is the density, V is the velocity, and the constant is the same at any two points along the streamline.
At the stagnation point, the velocity is zero, and the pressure is the stagnation pressure (Ps). So, the Bernoulli's equation becomes:
Ps = P + 0.5 * ρ * V²
We are given the conditions at the wind tunnel: T = 15°C, P = 80 kPa, and V = 200 m/s. We can use the ideal gas law to find the density:
P * V = n * R * T
where n is the number of moles of air, R is the gas constant, and T is the temperature in Kelvin. Assuming air is an ideal gas and using the molar mass of air (28.97 g/mol), we can find the density:
ρ = n * M / V
where M is the molar mass of air.
Combining these equations, we get:
ρ = P / (R * T) * M
Plugging in the values, we get:
ρ = 80 * 10³ / (8.314 * 288.15) * 0.02897 = 1.168 kg/m³
Now, we can use the Bernoulli's equation to find the stagnation pressure:
Ps = P + 0.5 * ρ * V² = 80 + 0.5 * 1.168 * 200² = 96.2 kPa
Therefore, the answer is (c) 96 kPa.

Learn more about "wind tunnel" at: https://brainly.com/question/13961827

#SPJ11

Thanks for taking the time to read Air is flowing in a wind tunnel at 15 C 80 kPa and 200 m s The stagnation pressure at the probe inserted into the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada