Dynamic Pressure for given Specific Heat Ratio and Mach Number Calculator

✖The Specific Heat Ratio Dynamic is the ratio of specific heats for a gas, influencing its thermodynamic behavior during processes like oblique shock waves in hypersonic flow.ⓘ Specific Heat Ratio Dynamic [κ]			+10% -10%
✖The Static Pressure is the pressure exerted by a fluid at rest, crucial for understanding fluid behavior in various mechanical and engineering applications.ⓘ Static Pressure [p_static]			+10% -10%
✖The Mach Number is a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in the surrounding medium.ⓘ Mach Number [M]			+10% -10%

✖The Dynamic Pressure is the pressure associated with the motion of a fluid, representing the kinetic energy per unit volume of the fluid flow.ⓘ Dynamic Pressure for given Specific Heat Ratio and Mach Number [P_dynamic]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hypersonic Flow Formula PDF PDF Image

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) - The Dynamic Pressure is the pressure associated with the motion of a fluid, representing the kinetic energy per unit volume of the fluid flow.
Specific Heat Ratio Dynamic - The Specific Heat Ratio Dynamic is the ratio of specific heats for a gas, influencing its thermodynamic behavior during processes like oblique shock waves in hypersonic flow.
Static Pressure - (Measured in Pascal) - The Static Pressure is the pressure exerted by a fluid at rest, crucial for understanding fluid behavior in various mechanical and engineering applications.
Mach Number - The Mach Number is a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in the surrounding medium.

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 00.006 seconds)

You are here -

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

Credits

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

Sanjay Krishna has verified this Calculator and 200+ more calculators!

< Oblique Shock Relation Calculators

Parallel Upstream Flow Components after Shock as Mach Tends to Infinite

LaTeX 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)

Wave Angle for Small Deflection Angle

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

Coefficient of Pressure Derived from Oblique Shock Theory

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

Dynamic Pressure for given Specific Heat Ratio and Mach Number Formula

LaTeX Go

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 formula is defined as a measure of the total pressure experienced by an object due to its motion, taking into account the specific heat ratio and Mach number of the fluid flow, providing valuable insights into oblique shock relations in aerodynamics and aerospace engineering. 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 formula is defined as a measure of the total pressure experienced by an object due to its motion, taking into account the specific heat ratio and Mach number of the fluid flow, providing valuable insights into oblique shock relations in aerodynamics and aerospace engineering 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 specific heats for a gas, influencing its thermodynamic behavior during processes like oblique shock waves in hypersonic flow, The Static Pressure is the pressure exerted by a fluid at rest, crucial for understanding fluid behavior in various mechanical and engineering applications & The Mach Number is a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in the surrounding medium.

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

Dynamic Pressure for given Specific Heat Ratio and Mach Number formula is defined as a measure of the total pressure experienced by an object due to its motion, taking into account the specific heat ratio and Mach number of the fluid flow, providing valuable insights into oblique shock relations in aerodynamics and aerospace engineering 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.

Home

FREE PDFs

🔍 Search