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
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1 Other formulas that calculate the same Output

Flow deflection angle
Flow Deflection angle=atan((2*cot(Oblique shock angle)*(((Mach Number ahead of shock*sin(Oblique shock angle))^2)-1))/(((Mach Number ahead of shock^2)*(Specific heat ratio+cos(2*Oblique shock angle)))+2)) GO

Flow deflection angle in terms of Prandtl Meyer function Formula

Flow Deflection angle=Prandtl Meyer Function at downstream Mach no.-Prandtl Meyer Function at upstream Mach no.
θ=v(M<sub>2</sub>)-ν(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
Forward Mach angle of expansion fan GO
Rearward Mach angle of the expansion fan GO
Prandtl Meyer function GO
Prandtl Meyer function at upstream Mach no. GO

What is expansion wave?

When a supersonic flow is turned away from itself an expansion wave is formed. The fan continuously opens in the direction away from the corner. The expansion wave is in the shape of a fan centered at the corner.

How to Calculate Flow deflection angle in terms of Prandtl Meyer function?

Flow deflection angle in terms of Prandtl Meyer function calculator uses Flow Deflection angle=Prandtl Meyer Function at downstream Mach no.-Prandtl Meyer Function at upstream Mach no. to calculate the Flow Deflection angle, The Flow deflection angle in terms of Prandtl Meyer function formula is obtained as the difference of the Prandtl Meyer function calculated at downstream and upstream Mach number. Flow Deflection angle and is denoted by θ symbol.

How to calculate Flow deflection angle in terms of Prandtl Meyer function using this online calculator? To use this online calculator for Flow deflection angle in terms of Prandtl Meyer function, enter Prandtl Meyer Function at downstream Mach no. (v(M2)) and Prandtl Meyer Function at upstream Mach no. (ν(M1)) and hit the calculate button. Here is how the Flow deflection angle in terms of Prandtl Meyer function calculation can be explained with given input values -> -43.952802 = 1.0471975511964-45.

FAQ

What is Flow deflection angle in terms of Prandtl Meyer function?
The Flow deflection angle in terms of Prandtl Meyer function formula is obtained as the difference of the Prandtl Meyer function calculated at downstream and upstream Mach number and is represented as θ=v(M2)-ν(M1) or Flow Deflection angle=Prandtl Meyer Function at downstream Mach no.-Prandtl Meyer Function at upstream Mach no.. Prandtl Meyer Function at downstream Mach no. is obtained by substituting the downstream Mach number across the expansion fan and Prandtl Meyer function at upstream Mach no. is obtained by substituting upstream Mach number in Prandtl Meyer function.
How to calculate Flow deflection angle in terms of Prandtl Meyer function?
The Flow deflection angle in terms of Prandtl Meyer function formula is obtained as the difference of the Prandtl Meyer function calculated at downstream and upstream Mach number is calculated using Flow Deflection angle=Prandtl Meyer Function at downstream Mach no.-Prandtl Meyer Function at upstream Mach no.. To calculate Flow deflection angle in terms of Prandtl Meyer function, you need Prandtl Meyer Function at downstream Mach no. (v(M2)) and Prandtl Meyer Function at upstream Mach no. (ν(M1)). With our tool, you need to enter the respective value for Prandtl Meyer Function at downstream Mach no and Prandtl Meyer Function at upstream Mach no and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Flow Deflection angle?
In this formula, Flow Deflection angle uses Prandtl Meyer Function at downstream Mach no and Prandtl Meyer Function at upstream Mach no. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Flow Deflection angle=atan((2*cot(Oblique shock angle)*(((Mach Number ahead of shock*sin(Oblique shock angle))^2)-1))/(((Mach Number ahead of shock^2)*(Specific heat ratio+cos(2*Oblique shock angle)))+2))
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