Dynamic Pressure for given Specific Heat Ratio and Mach Number Calculator

✖The Specific Heat Ratio Dynamic is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Specific Heat Ratio Dynamic [κ]			+10% -10%
✖Static pressure is defined as the actual pressure of the fluid, which is associated not with its motion but with its state.ⓘ Static Pressure [p_static]			+10% -10%
✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+10% -10%

✖Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.ⓘ Dynamic Pressure for given Specific Heat Ratio and Mach Number [P_dynamic]

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Formula

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Dynamic Pressure for given Specific Heat Ratio and Mach Number

Formula

`"P"_{"dynamic"} = "κ"*"p"_{"static"}*("M"^2)/2`

Example

`"11142.06Pa"="1.392758"*"250Pa"*(("8")^2)/2`

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Dynamic Pressure for given Specific Heat Ratio and Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Pressure = Specific Heat Ratio Dynamic*Static Pressure*(Mach Number^2)/2
P_dynamic = κ*p_static*(M^2)/2
This formula uses 4 Variables

Variables Used

Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.
Specific Heat Ratio Dynamic - The Specific Heat Ratio Dynamic is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Static Pressure - (Measured in Pascal) - Static pressure is defined as the actual pressure of the fluid, which is associated not with its motion but with its state.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio Dynamic: 1.392758 --> No Conversion Required
Static Pressure: 250 Pascal --> 250 Pascal No Conversion Required
Mach Number: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_dynamic = κ*p_static*(M^2)/2 --> 1.392758*250*(8^2)/2

Evaluating ... ...

P_dynamic = 11142.064

STEP 3: Convert Result to Output's Unit

11142.064 Pascal --> No Conversion Required

FINAL ANSWER

11142.064 ≈ 11142.06 Pascal <-- Dynamic Pressure

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Oblique Shock Relation » Dynamic Pressure for given Specific Heat Ratio and Mach Number

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 15 Oblique Shock Relation Calculators

Exact Density Ratio

Go Density Ratio = ((Specific Heat Ratio+1)*(Mach Number*(sin(Wave Angle)))^2)/((Specific Heat Ratio-1)*(Mach Number*(sin(Wave Angle)))^2+2)

Temperature Ratio when Mach Becomes Infinite

Go Temperature Ratio = (2*Specific Heat Ratio*(Specific Heat Ratio-1))/(Specific Heat Ratio+1)^2*(Mach Number*sin(Wave Angle))^2

Exact Pressure Ratio

Go Pressure Ratio = 1+2*Specific Heat Ratio/(Specific Heat Ratio+1)*((Mach Number*sin(Wave Angle))^2-1)

Pressure Ratio when Mach becomes Infinite

Go Pressure Ratio = (2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number*sin(Wave Angle))^2

Parallel Upstream Flow Components after Shock as Mach Tends to Infinite

Go Parallel upstream flow components = Velocity of the fluid at 1*(1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1))

Perpendicular Upstream Flow Components behind Shock Wave

Go Perpendicular upstream flow components = (Velocity of the fluid at 1*(sin(2*Wave Angle)))/(Specific Heat Ratio-1)

Pressure Coefficient behind Oblique Shock Wave

Go Pressure Coefficient = 4/(Specific Heat Ratio+1)*((sin(Wave Angle))^2-1/Mach Number^2)

Wave Angle for Small Deflection Angle

Go Wave Angle = (Specific Heat Ratio+1)/2*(Deflection Angle*180/pi)*pi/180

Velocity of Sound using Dynamic Pressure and Density

Go Speed of Sound = sqrt((Specific Heat Ratio*Pressure)/Density)

Dynamic Pressure for given Specific Heat Ratio and Mach Number

Go Dynamic Pressure = Specific Heat Ratio Dynamic*Static Pressure*(Mach Number^2)/2

Pressure Coefficient behind Oblique Shock Wave for Infinite Mach Number

Go Pressure Coefficient = 4/(Specific Heat Ratio+1)*(sin(Wave Angle))^2

Non-Dimensional Pressure Coefficient

Go Pressure Coefficient = Change in static pressure/Dynamic Pressure

Density Ratio when Mach Becomes Infinite

Go Density Ratio = (Specific Heat Ratio+1)/(Specific Heat Ratio-1)

Temperature Ratios

Go Temperature Ratio = Pressure Ratio/Density Ratio

Coefficient of Pressure Derived from Oblique Shock Theory

Go Pressure Coefficient = 2*(sin(Wave Angle))^2

Dynamic Pressure for given Specific Heat Ratio and Mach Number Formula

Dynamic Pressure = Specific Heat Ratio Dynamic*Static Pressure*(Mach Number^2)/2
P_dynamic = κ*p_static*(M^2)/2

Does dynamic pressure increase with velocity?

The dynamic pressure is a defined property of a moving flow of gas. The dynamic pressure increases because of the increasing velocity to some maximum value called the maximum dynamic pressure. Then the dynamic pressure decreases because of the decreasing density.

How to Calculate Dynamic Pressure for given Specific Heat Ratio and Mach Number?

Dynamic Pressure for given Specific Heat Ratio and Mach Number calculator uses Dynamic Pressure = Specific Heat Ratio Dynamic*Static Pressure*(Mach Number^2)/2 to calculate the Dynamic Pressure, Dynamic pressure for given specific heat ratio and Mach number is the kinetic energy per unit volume of a fluid. Dynamic Pressure is denoted by P_dynamic symbol.

How to calculate Dynamic Pressure for given Specific Heat Ratio and Mach Number using this online calculator? To use this online calculator for Dynamic Pressure for given Specific Heat Ratio and Mach Number, enter Specific Heat Ratio Dynamic (κ), Static Pressure (p_static) & Mach Number (M) and hit the calculate button. Here is how the Dynamic Pressure for given Specific Heat Ratio and Mach Number calculation can be explained with given input values -> 11142.06 = 1.392758*250*(8^2)/2.

FAQ

What is Dynamic Pressure for given Specific Heat Ratio and Mach Number?

Dynamic pressure for given specific heat ratio and Mach number is the kinetic energy per unit volume of a fluid and is represented as P_dynamic = κ*p_static*(M^2)/2 or Dynamic Pressure = Specific Heat Ratio Dynamic*Static Pressure*(Mach Number^2)/2. The Specific Heat Ratio Dynamic is the ratio of the heat capacity at constant pressure to heat capacity at constant volume, Static pressure is defined as the actual pressure of the fluid, which is associated not with its motion but with its state & Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

How to calculate Dynamic Pressure for given Specific Heat Ratio and Mach Number?

Dynamic pressure for given specific heat ratio and Mach number is the kinetic energy per unit volume of a fluid is calculated using Dynamic Pressure = Specific Heat Ratio Dynamic*Static Pressure*(Mach Number^2)/2. To calculate Dynamic Pressure for given Specific Heat Ratio and Mach Number, you need Specific Heat Ratio Dynamic (κ), Static Pressure (p_static) & Mach Number (M). With our tool, you need to enter the respective value for Specific Heat Ratio Dynamic, Static Pressure & Mach Number 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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