Pressure Ratio across Expansion Fan Calculator

✖The Specific Heat Ratio Expansion Wave is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Specific Heat Ratio Expansion Wave [γ_e]			+10% -10%
✖Mach Number Ahead of Expansion Fan is the Mach number of the upstream flow.ⓘ Mach Number Ahead of Expansion Fan [M_e1]			+10% -10%
✖Mach Number Behind Expansion Fan is the Mach number of downstream flow across the expansion fan.ⓘ Mach Number Behind Expansion Fan [M_e2]			+10% -10%

✖Pressure Ratio Across Expansion Fan is the ratio of downstream and upstream pressure across expansion fan.ⓘ Pressure Ratio across Expansion Fan [P_e,r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Oblique Shock and Expansion Waves Formulas PDF PDF Image

Pressure Ratio across Expansion Fan Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Ratio Across Expansion Fan = ((1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Ahead of Expansion Fan^2)/(1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Behind Expansion Fan^2))^((Specific Heat Ratio Expansion Wave)/(Specific Heat Ratio Expansion Wave-1))
P_e,r = ((1+0.5*(γ_e-1)*M_e1^2)/(1+0.5*(γ_e-1)*M_e2^2))^((γ_e)/(γ_e-1))
This formula uses 4 Variables

Variables Used

Pressure Ratio Across Expansion Fan - Pressure Ratio Across Expansion Fan is the ratio of downstream and upstream pressure across expansion fan.
Specific Heat Ratio Expansion Wave - The Specific Heat Ratio Expansion Wave is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Mach Number Ahead of Expansion Fan - Mach Number Ahead of Expansion Fan is the Mach number of the upstream flow.
Mach Number Behind Expansion Fan - Mach Number Behind Expansion Fan is the Mach number of downstream flow across the expansion fan.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio Expansion Wave: 1.41 --> No Conversion Required
Mach Number Ahead of Expansion Fan: 5 --> No Conversion Required
Mach Number Behind Expansion Fan: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_e,r = ((1+0.5*(γ_e-1)*M_e1^2)/(1+0.5*(γ_e-1)*M_e2^2))^((γ_e)/(γ_e-1)) --> ((1+0.5*(1.41-1)*5^2)/(1+0.5*(1.41-1)*6^2))^((1.41)/(1.41-1))

Evaluating ... ...

P_e,r = 0.340265841483963

STEP 3: Convert Result to Output's Unit

0.340265841483963 --> No Conversion Required

FINAL ANSWER

0.340265841483963 ≈ 0.340266 <-- Pressure Ratio Across Expansion Fan

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Aerodynamics » Compressible Flow » Oblique Shock and Expansion Waves » Aerospace » Expansion Waves » Pressure Ratio across Expansion Fan

Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< Expansion Waves Calculators

Pressure behind Expansion Fan

LaTeX Go Pressure Behind Expansion Fan = Pressure Ahead of Expansion Fan*((1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Ahead of Expansion Fan^2)/(1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Behind Expansion Fan^2))^((Specific Heat Ratio Expansion Wave)/(Specific Heat Ratio Expansion Wave-1))

Pressure Ratio across Expansion Fan

LaTeX Go Pressure Ratio Across Expansion Fan = ((1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Ahead of Expansion Fan^2)/(1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Behind Expansion Fan^2))^((Specific Heat Ratio Expansion Wave)/(Specific Heat Ratio Expansion Wave-1))

Temperature behind Expansion Fan

LaTeX Go Temperature Behind Expansion Fan = Temperature Ahead of Expansion Fan*((1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Ahead of Expansion Fan^2)/(1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Behind Expansion Fan^2))

Temperature Ratio across Expansion Fan

LaTeX Go Temperature Ratio Across Expansion Fan = (1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Ahead of Expansion Fan^2)/(1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Behind Expansion Fan^2)

Pressure Ratio across Expansion Fan Formula

LaTeX Go

When an expansion fan is formed?

When a flow is turned away from itself, an expansion fan is formed. The expansion through the wave takes place across a continuous succession of Mach waves and entropy change is zero for each Mach wave, hence the expansion is isentropic.

What is forward and rearward Mach angle?

The forward Machangle is the angle formed between the forward Mach line and upstream direction of the flow. The rearward Mach angle is the angle formed between the rearward Mach line and downstream flow direction (parallel to convex corner).

How to Calculate Pressure Ratio across Expansion Fan?

Pressure Ratio across Expansion Fan calculator uses Pressure Ratio Across Expansion Fan = ((1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Ahead of Expansion Fan^2)/(1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Behind Expansion Fan^2))^((Specific Heat Ratio Expansion Wave)/(Specific Heat Ratio Expansion Wave-1)) to calculate the Pressure Ratio Across Expansion Fan, The Pressure Ratio across Expansion Fan is a measure of the change in pressure experienced by a fluid as it passes through the fan. Expansion fans are regions in a fluid flow where the flow velocity decreases, and pressure increases due to an expansion in the flow area. Pressure Ratio Across Expansion Fan is denoted by P_e,r symbol.

How to calculate Pressure Ratio across Expansion Fan using this online calculator? To use this online calculator for Pressure Ratio across Expansion Fan, enter Specific Heat Ratio Expansion Wave (γ_e), Mach Number Ahead of Expansion Fan (M_e1) & Mach Number Behind Expansion Fan (M_e2) and hit the calculate button. Here is how the Pressure Ratio across Expansion Fan calculation can be explained with given input values -> 0.335105 = ((1+0.5*(1.41-1)*5^2)/(1+0.5*(1.41-1)*6^2))^((1.41)/(1.41-1)).

FAQ

What is Pressure Ratio across Expansion Fan?

The Pressure Ratio across Expansion Fan is a measure of the change in pressure experienced by a fluid as it passes through the fan. Expansion fans are regions in a fluid flow where the flow velocity decreases, and pressure increases due to an expansion in the flow area and is represented as P_e,r = ((1+0.5*(γ_e-1)*M_e1^2)/(1+0.5*(γ_e-1)*M_e2^2))^((γ_e)/(γ_e-1)) or Pressure Ratio Across Expansion Fan = ((1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Ahead of Expansion Fan^2)/(1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Behind Expansion Fan^2))^((Specific Heat Ratio Expansion Wave)/(Specific Heat Ratio Expansion Wave-1)). The Specific Heat Ratio Expansion Wave is the ratio of the heat capacity at constant pressure to heat capacity at constant volume, Mach Number Ahead of Expansion Fan is the Mach number of the upstream flow & Mach Number Behind Expansion Fan is the Mach number of downstream flow across the expansion fan.

How to calculate Pressure Ratio across Expansion Fan?

The Pressure Ratio across Expansion Fan is a measure of the change in pressure experienced by a fluid as it passes through the fan. Expansion fans are regions in a fluid flow where the flow velocity decreases, and pressure increases due to an expansion in the flow area is calculated using Pressure Ratio Across Expansion Fan = ((1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Ahead of Expansion Fan^2)/(1+0.5*(Specific Heat Ratio Expansion Wave-1)*Mach Number Behind Expansion Fan^2))^((Specific Heat Ratio Expansion Wave)/(Specific Heat Ratio Expansion Wave-1)). To calculate Pressure Ratio across Expansion Fan, you need Specific Heat Ratio Expansion Wave (γ_e), Mach Number Ahead of Expansion Fan (M_e1) & Mach Number Behind Expansion Fan (M_e2). With our tool, you need to enter the respective value for Specific Heat Ratio Expansion Wave, Mach Number Ahead of Expansion Fan & Mach Number Behind Expansion Fan and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search