Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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11 Other formulas that you can solve using the same Inputs

Ratio of stagnation and static pressure
Stagnation to Static Pressure=(1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1)) GO
Ratio of Stagnation and Static Density
Stagnation to Static Density=(1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1)) GO
Deflection angle
deflection angle=(2/(Specific Heat Ratio-1))*((1/Mach Number ahead of shock)-(1/Mach Number behind shock)) GO
Relation between Characteristic Mach number and Mach number
Characteristic Mach number=((Specific heat ratio+1)/((Specific heat ratio-1)+(2/(Mach Number^2))))^0.5 GO
Exact pressure ratio
pressure ratio=1+(2*Specific Heat Ratio/(Specific Heat Ratio+1))*(((Mach Number*sin(Wave angle))^2)-1) GO
Pressure ratio when Mach becomes infinite
pressure ratio=(2*Specific Heat Ratio/(Specific Heat Ratio+1))*((Mach Number*sin(Wave angle))^2) GO
Mach number
Mach Number=Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*final temp.)) GO
Ratio of Stagnation and Static Temperature
Stagnation to Static Temperature=1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)) GO
Speed of Sound
Speed of Sound=sqrt(Specific Heat Ratio*[R-Dry-Air]*Temperature of Gas) GO
Density ratio when Mach become infinite
Density ratio=(Specific Heat Ratio+1)/(Specific Heat Ratio-1) GO
Mach Angle
Mach Angle=asin(1/Mach Number) GO

2 Other formulas that calculate the same Output

Density ratio with similarity constant having slenderness ratio
Density ratio=((Specific Heat Ratio+1)/(Specific Heat Ratio-1))*(1/(1+2/((Specific Heat Ratio-1)*Hypersonic similarity parameter^2))) GO
Density ratio when Mach become infinite
Density ratio=(Specific Heat Ratio+1)/(Specific Heat Ratio-1) GO

Exact Density Ratio Formula

Density ratio=((Specific Heat Ratio+1)*((Mach Number*(sin(Wave angle)))^2))/((Specific Heat Ratio-1)*((Mach Number*(sin(Wave angle)))^2)+2)
ρ2/ρ1=((γ+1)*((M*(sin(β)))^2))/((γ-1)*((M*(sin(β)))^2)+2)
More formulas
Exact pressure ratio GO
Pressure ratio when Mach becomes infinite GO
Density ratio when Mach become infinite GO
Temperature ratios GO
Temperature ratio when Mach becomes infinite GO
Non-dimensional pressure coefficient GO
Velocity of sound using dynamic pressure and density GO
Dynamic pressure for given specific heat ratio and Mach number GO
Exact relation for pressure coefficient behind an oblique shock wave GO
Exact relation for pressure coefficient behind an oblique shock wave when Mach no. tends to infinite GO
Wave angle for small deflection angle GO
Coefficient of pressure derived from oblique shock theory GO
Parallel upstream flow components after shock as Mach tends to infinite GO
Perpendicular upstream flow components behind the shock wave GO

What is exact density ratio?

Higher density ratio is also one of the definitions of hypersonic flow. Density ratio across normal shock would reach 6 for calorically perfect gas (air or diatomic gas) at very high Mach numbers

How to Calculate Exact Density Ratio?

Exact Density Ratio calculator uses Density ratio=((Specific Heat Ratio+1)*((Mach Number*(sin(Wave angle)))^2))/((Specific Heat Ratio-1)*((Mach Number*(sin(Wave angle)))^2)+2) to calculate the Density ratio, The Exact Density Ratio formula is defined as .the ratio of product of specifc heat ratio and mach number at an wave angle to the same plus 2. Density ratio and is denoted by ρ2/ρ1 symbol.

How to calculate Exact Density Ratio using this online calculator? To use this online calculator for Exact Density Ratio, enter Specific Heat Ratio (γ), Mach Number (M) and Wave angle (β) and hit the calculate button. Here is how the Exact Density Ratio calculation can be explained with given input values -> 0.038848 = ((1.6+1)*((1*(sin(10)))^2))/((1.6-1)*((1*(sin(10)))^2)+2).

FAQ

What is Exact Density Ratio?
The Exact Density Ratio formula is defined as .the ratio of product of specifc heat ratio and mach number at an wave angle to the same plus 2 and is represented as ρ2/ρ1=((γ+1)*((M*(sin(β)))^2))/((γ-1)*((M*(sin(β)))^2)+2) or Density ratio=((Specific Heat Ratio+1)*((Mach Number*(sin(Wave angle)))^2))/((Specific Heat Ratio-1)*((Mach Number*(sin(Wave angle)))^2)+2). The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume, Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound and Wave angle is the shock angle created by the oblique shock, this is not similar to the mach angle.
How to calculate Exact Density Ratio?
The Exact Density Ratio formula is defined as .the ratio of product of specifc heat ratio and mach number at an wave angle to the same plus 2 is calculated using Density ratio=((Specific Heat Ratio+1)*((Mach Number*(sin(Wave angle)))^2))/((Specific Heat Ratio-1)*((Mach Number*(sin(Wave angle)))^2)+2). To calculate Exact Density Ratio, you need Specific Heat Ratio (γ), Mach Number (M) and Wave angle (β). With our tool, you need to enter the respective value for Specific Heat Ratio, Mach Number and Wave angle 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 Density ratio?
In this formula, Density ratio uses Specific Heat Ratio, Mach Number and Wave angle. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Density ratio=(Specific Heat Ratio+1)/(Specific Heat Ratio-1)
  • Density ratio=((Specific Heat Ratio+1)/(Specific Heat Ratio-1))*(1/(1+2/((Specific Heat Ratio-1)*Hypersonic similarity parameter^2)))
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