a=2 , b=1
a=2 , b=1
As seen in the figure, the vacuum pump provides air flow in an insulated pipe with a cross section of 4a,b mm2. The air moves along a straight line in a room with a pressure of 100,ab kPa and a temperature of 2a,b oC. If the pressure in section 1 is 98,ab kPa and the temperature in section 2 is 1a,b oC; This is Fanno flow.
- i) Calculate mass flow rate,
- ii) Calculate at section 1, flow velocity U1, density, Mach number Ma1, Re, f values
iii) Calculate at section 2, find the stopping pressure and temperature, Mach number Ma2, U2 velocity, density, mass flow rate
- iv) Calculate friction coefficient and force on the channel walls between section 1 and 2. Solve the problem by making the necessary assumptions.
- v) Calculate L1-2 pipe length
and expressions can also be used.
Solve the problem by making the necessary assumptions and drawing the schematic figure.
![](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fedb3baf5-17bc-4f51-adc8-867830769e4a%2F5480828f-9168-4527-9e8c-6f17a0b77c67%2Fktd9dgr.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Given data,
The Mach number can be calculated at section 1 as,
Hence, the Mach number at section 1 is 0.17.
Calculating temperature at section 1,
Now the density at section 1 can be found out by using the ideal gas equation follows –
Now the velocity of flow at section 1 can be given as –
Now calculating Reynolds number at section 1,
Calculating mass flow rate -
The Fanning friction factor can be given as –
The friction coefficient is then given by the formula,
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 14 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
![Control Systems Engineering](https://www.bartleby.com/isbn_cover_images/9781118170519/9781118170519_smallCoverImage.gif)
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
![Engineering Mechanics: Statics](https://www.bartleby.com/isbn_cover_images/9781118807330/9781118807330_smallCoverImage.gif)