Coefficient of Pressure with Similarity Parameters Calculator

✖Flow Deflection angle is defined as the angle by which the flow turns towards the oblique shock.ⓘ Flow Deflection angle [θ]			+10% -10%
✖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.ⓘ Specific Heat Ratio [Y]			+10% -10%
✖Hypersonic Similarity Parameter, In the study of hypersonic flow over slender bodies, the product M1u is an important governing parameter, where, as before. It is to simplify the equations.ⓘ Hypersonic Similarity Parameter [K]			+10% -10%

✖Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.ⓘ Coefficient of Pressure with Similarity Parameters [C_p]

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Coefficient of Pressure with Similarity Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2))
C_p = 2*θ^2*((Y+1)/4+sqrt(((Y+1)/4)^2+1/K^2))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Pressure Coefficient - Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.
Flow Deflection angle - (Measured in Radian) - Flow Deflection angle is defined as the angle by which the flow turns towards the oblique shock.
Specific Heat Ratio - 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.
Hypersonic Similarity Parameter - (Measured in Radian) - Hypersonic Similarity Parameter, In the study of hypersonic flow over slender bodies, the product M1u is an important governing parameter, where, as before. It is to simplify the equations.

STEP 1: Convert Input(s) to Base Unit

Flow Deflection angle: 0.53 Radian --> 0.53 Radian No Conversion Required
Specific Heat Ratio: 1.6 --> No Conversion Required
Hypersonic Similarity Parameter: 2 Radian --> 2 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = 2*θ^2*((Y+1)/4+sqrt(((Y+1)/4)^2+1/K^2)) --> 2*0.53^2*((1.6+1)/4+sqrt(((1.6+1)/4)^2+1/2^2))

Evaluating ... ...

C_p = 0.825880254824006

STEP 3: Convert Result to Output's Unit

0.825880254824006 --> No Conversion Required

FINAL ANSWER

0.825880254824006 ≈ 0.82588 <-- Pressure Coefficient

(Calculation completed in 00.004 seconds)

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Amrita School of Engineering (ASE), Vallikavu

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< Hypersonic Flow Parameters Calculators

Coefficient of Pressure with Similarity Parameters

LaTeX Go Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2))

Deflection Angle

LaTeX Go Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of Shock-1/Mach Number Behind Shock)

Coefficient of Drag

LaTeX Go Drag Coefficient = Drag Force/(Dynamic Pressure*Area For Flow)

Axial Force Coefficient

LaTeX Go Coefficient of Force = Force/(Dynamic Pressure*Area For Flow)

Coefficient of Pressure with Similarity Parameters Formula

LaTeX Go

Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2))
C_p = 2*θ^2*((Y+1)/4+sqrt(((Y+1)/4)^2+1/K^2))

What is a similarity parameter?

Similarity parameters mean some independent dimensionless parameter groups that represent the quantitative characteristics of physical similarity.

How to Calculate Coefficient of Pressure with Similarity Parameters?

Coefficient of Pressure with Similarity Parameters calculator uses Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2)) to calculate the Pressure Coefficient, Coefficient of Pressure with Similarity Parameters formula is defined as a dimensionless quantity used to characterize the pressure distribution on a body in hypersonic flow, providing a similarity parameter to describe the flow behavior under various conditions. Pressure Coefficient is denoted by C_p symbol.

How to calculate Coefficient of Pressure with Similarity Parameters using this online calculator? To use this online calculator for Coefficient of Pressure with Similarity Parameters, enter Flow Deflection angle (θ), Specific Heat Ratio (Y) & Hypersonic Similarity Parameter (K) and hit the calculate button. Here is how the Coefficient of Pressure with Similarity Parameters calculation can be explained with given input values -> 0.82588 = 2*0.53^2*((1.6+1)/4+sqrt(((1.6+1)/4)^2+1/2^2)).

FAQ

What is Coefficient of Pressure with Similarity Parameters?

Coefficient of Pressure with Similarity Parameters formula is defined as a dimensionless quantity used to characterize the pressure distribution on a body in hypersonic flow, providing a similarity parameter to describe the flow behavior under various conditions and is represented as C_p = 2*θ^2*((Y+1)/4+sqrt(((Y+1)/4)^2+1/K^2)) or Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2)). Flow Deflection angle is defined as the angle by which the flow turns towards the oblique shock, 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 & Hypersonic Similarity Parameter, In the study of hypersonic flow over slender bodies, the product M1u is an important governing parameter, where, as before. It is to simplify the equations.

How to calculate Coefficient of Pressure with Similarity Parameters?

Coefficient of Pressure with Similarity Parameters formula is defined as a dimensionless quantity used to characterize the pressure distribution on a body in hypersonic flow, providing a similarity parameter to describe the flow behavior under various conditions is calculated using Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2)). To calculate Coefficient of Pressure with Similarity Parameters, you need Flow Deflection angle (θ), Specific Heat Ratio (Y) & Hypersonic Similarity Parameter (K). With our tool, you need to enter the respective value for Flow Deflection angle, Specific Heat Ratio & Hypersonic Similarity Parameter 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 Pressure Coefficient?

In this formula, Pressure Coefficient uses Flow Deflection angle, Specific Heat Ratio & Hypersonic Similarity Parameter. We can use 2 other way(s) to calculate the same, which is/are as follows -

Pressure Coefficient = 2*sin(Deflection Angle)^2
Pressure Coefficient = (2*Flow Deflection angle)/(sqrt(Mach Number^2-1))

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