Answered: Nitrogen enters a duct with varying…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Question

Nitrogen enters a duct with varying flow area at 400 K, 100 kPa, and a Mach number of 0.5. Assuming a steady, isentropic flow, determine the temperature, pressure, and Mach number at a location where the flow area has been reduced by 20 percent.

Expert Solution

Step 1

Given data:

The temperature at the inlet of the duct, T₁ = 400 K.
The pressure at the inlet of the duct, P₁ = 100 kPa.
Mach number at the inlet of duct, Ma₁ = 0.5.
Area reduced by 20% compared to the inlet area.

Draw a schematic diagram.

From the table of Mach number and parameter ratios for isentropic flow, the area, Temperature, and pressure ratios at a Mach number of 0.5 are,

$\begin{array}{rcl} \frac{A_{1}}{A *} & = & 1.3398 \\ \frac{P_{1}}{P_{o}} & = & 0.8430 \\ \frac{T_{1}}{T_{o}} & = & 0.9524 \end{array}$

The available area at location 2 is,

$\begin{array}{rcl} A_{2} & = & (\frac{100 % - 20 %}{100 %}) A_{1} \\ A_{2} & = & 0.8 A_{1} \end{array}$

Step by step

Solved in 2 steps with 1 images

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions