Week 3 - Pitot tube

Objective:

1. To establish a relationship between Total (stagnation) pressure and static pressure
2. For the values of velocity given below calculate the total and static pressures and find the error in percentage for velocity.

   Velocity(m/s)	Gauge Pressure (Pa)
   240	-2817
   100	33287
   62	65780

Meshed Geometry:

Fluent Setup:

• Viscous Model:

• Boundary conditions
  
  • Inlet

• Outlet

• Operation Condition:

Results:

Case 1

• Velocity: 62m/s
• Pressure: 67580

Pressure contour:

Pressure values:

Analytical Calculation:

`V` = `sqrt((2(P_t-P_s))/rho)`

`V` = `sqrt((2(69249.39-67576.5))/0.863)`

`V` = 62.264m/s

Case 2

• Velocity: 100m/s
• Pressure: 33287

Pressure contour:

Pressure values:

Analytical Calculation:

`V` = `sqrt((2(P_t-P_s))/rho)`

`V` = `sqrt((2(37624.06-33244.44))/0.863)`

`V` = 100.74m/s

Case 3

• Velocity: 240m/s
• Pressure: -2817

Pressure contour:

Pressure values:

Analytical Calculation:

`V` = `sqrt((2(P_t-P_s))/rho)`

`V` = `sqrt((2(37624.06-33244.44))/0.863)`

`V` = 240.681m/s

Case	Actual Velocity	Computed velocity	Percentage error
1	62	62.264	0.425%
2	100	100.74	0.74%
3	240	240.681	0.283%