# Isentropic Flow Relation Between Density and Total Density Calculator

An isentropic process is an idealized thermodynamic process that is adiabatic, where there is no transfer of heat or matter and the process is reversible. Here is a simple online calculator to find the value of Isentropic flow relation between density and total density based on the specific heat ratio and mach number of an isentropic flow. In the below Isentropic flow relation calculator, enter the values for specific heat ratio, mach number and click calculate.

An isentropic process is an idealized thermodynamic process that is adiabatic, where there is no transfer of heat or matter and the process is reversible. Here is a simple online calculator to find the value of Isentropic flow relation between density and total density based on the specific heat ratio and mach number of an isentropic flow. In the below Isentropic flow relation calculator, enter the values for specific heat ratio, mach number and click calculate.

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#### Formula:

ρ / ρ_{t} = (1 + ((γ - 1) / 2) x M^{2})^{(-1 / (γ - 1))}
**Where,**
ρ / ρ_{t} =Isentropic Flow Relation Between Density and Total Density
ρ = Density
ρ_{t} = Total Density
γ = Specific Heat Ratio
M = Mach Number
### Example:

If the specific heat ratio and Mach number values are 22 and 35.

#### Solution:

ρ / ρ_{t} = (1 + ((γ - 1) / 2) x M^{2})^{(-1 / (γ - 1))}

ρ / ρ_{t} = (1 + ((22 - 1) / 2) x 35^{2})^{(-1 / (22 - 1))}

= 0.6372593715202097 ρ