Forward Mach angle of expansion fan Calculator

Category	Physics ↺
Physics	Gas Dynamics ↺
Gas-Dynamics	Oblique Shock and Expansion Waves ↺

✖Mach no. ahead expansion fan is the Mach number of the upstream flow.ⓘ Mach no. ahead expansion fan [M ₁]

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✖Forward Mach angle is the angle formed between the forward Mach line and upstream flow direction.ⓘ Forward Mach angle of expansion fan [μ ₁]

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Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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

Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 200+ more calculators!

< 4 Other formulas that you can solve using the same Inputs

Pressure behind expansion fan

Pressure behind expansion fan=Pressure ahead expansion fan*((1+0.5*(Specific heat ratio-1)*(Mach no. ahead expansion fan^2))/(1+0.5*(Specific heat ratio-1)*(Mach no. behind expansion fan^2)))^((Specific heat ratio)/(Specific heat ratio-1)) GO

Pressure ratio across the expansion fan

Pressure ratio across expansion fan=((1+0.5*(Specific heat ratio-1)*(Mach no. ahead expansion fan^2))/(1+0.5*(Specific heat ratio-1)*(Mach no. behind expansion fan^2)))^((Specific heat ratio)/(Specific heat ratio-1)) GO

Temperature behind expansion fan

Temperature behind expansion fan=Temperature ahead expansion fan*((1+0.5*(Specific heat ratio-1)*(Mach no. ahead expansion fan^2))/(1+0.5*(Specific heat ratio-1)*(Mach no. behind expansion fan^2))) GO

Temperature ratio across the expansion fan

Temperature ratio across expansion fan =(1+0.5*(Specific heat ratio-1)*(Mach no. ahead expansion fan^2))/(1+0.5*(Specific heat ratio-1)*(Mach no. behind expansion fan^2)) GO

Forward Mach angle of expansion fan Formula

Forward Mach angle=arsin(1/Mach no. ahead expansion fan)
μ <sub>1</sub>=arsin(1/M <sub>1</sub>)

More formulas

Component of Upstream Mach normal to oblique shock GO

Component of Downstream Mach normal to oblique shock GO

Flow deflection angle GO

Density ratio across the oblique shock GO

Pressure ratio across the oblique shock GO

Temperature ratio across the oblique shock GO

Component of downstream Mach no. normal to oblique shock for given normal upstream Mach no. GO

Density behind oblique shock for given upstream density & normal upstream Mach no. GO

Pressure behind oblique shock for given upstream pressure & normal upstream Mach no GO

Temperature behind oblique shock for given upstream temperature & normal upstream Mach no. GO

Pressure ratio across the expansion fan GO

Temperature ratio across the expansion fan GO

Pressure behind expansion fan GO

Temperature behind expansion fan GO

Rearward Mach angle of the expansion fan GO

Prandtl Meyer function GO

Flow deflection angle in terms of Prandtl Meyer function GO

Prandtl Meyer function at upstream Mach no. GO

Why inlets designers would love to have compression process carried by isentropic compression waves?

The isentropic compression process is a more efficient compression process, yielding a downstream Mach number and pressure that are considerably higher than the shock wave. The inefficiency of the shock wave is measured by the loss of total pressure across the shock.

How to Calculate Forward Mach angle of expansion fan?

Forward Mach angle of expansion fan calculator uses Forward Mach angle=arsin(1/Mach no. ahead expansion fan) to calculate the Forward Mach angle, The Forward Mach angle of expansion fan formula is defined as the sine inverse of reciprocal of upstream Mach number of the flow. Forward Mach angle and is denoted by μ ₁ symbol.

How to calculate Forward Mach angle of expansion fan using this online calculator? To use this online calculator for Forward Mach angle of expansion fan, enter Mach no. ahead expansion fan (M ₁) and hit the calculate button. Here is how the Forward Mach angle of expansion fan calculation can be explained with given input values -> 0.201358 = arsin(1/5).

FAQ

What is Forward Mach angle of expansion fan?

The Forward Mach angle of expansion fan formula is defined as the sine inverse of reciprocal of upstream Mach number of the flow and is represented as μ ₁=arsin(1/M ₁) or Forward Mach angle=arsin(1/Mach no. ahead expansion fan). Mach no. ahead expansion fan is the Mach number of the upstream flow.

How to calculate Forward Mach angle of expansion fan?

The Forward Mach angle of expansion fan formula is defined as the sine inverse of reciprocal of upstream Mach number of the flow is calculated using Forward Mach angle=arsin(1/Mach no. ahead expansion fan). To calculate Forward Mach angle of expansion fan, you need Mach no. ahead expansion fan (M ₁). With our tool, you need to enter the respective value for Mach no. ahead expansion fan and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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