Enthalpy ahead of Normal Shock from Normal Shock Energy Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Enthalpy Ahead of Normal Shock = Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2-Velocity Upstream of Shock^2)/2
h1 = h2+(V2^2-V1^2)/2
This formula uses 4 Variables
Variables Used
Enthalpy Ahead of Normal Shock - (Measured in Joule per Kilogram) - Enthalpy Ahead of Normal Shock is the enthalpy of upstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.
Enthalpy Behind Normal Shock - (Measured in Joule per Kilogram) - Enthalpy Behind Normal Shock is the enthalpy of downstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.
Velocity Downstream of Shock - (Measured in Meter per Second) - Velocity Downstream of Shock is the velocity of flow behind the shock wave.
Velocity Upstream of Shock - (Measured in Meter per Second) - Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.
STEP 1: Convert Input(s) to Base Unit
Enthalpy Behind Normal Shock: 262.304 Joule per Kilogram --> 262.304 Joule per Kilogram No Conversion Required
Velocity Downstream of Shock: 79.351 Meter per Second --> 79.351 Meter per Second No Conversion Required
Velocity Upstream of Shock: 80.134 Meter per Second --> 80.134 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h1 = h2+(V2^2-V1^2)/2 --> 262.304+(79.351^2-80.134^2)/2
Evaluating ... ...
h1 = 199.8656225
STEP 3: Convert Result to Output's Unit
199.8656225 Joule per Kilogram --> No Conversion Required
FINAL ANSWER
199.8656225 199.8656 Joule per Kilogram <-- Enthalpy Ahead of Normal Shock
(Calculation completed in 00.004 seconds)

Credits

Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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7 Upstream Shock Waves Calculators

Velocity ahead of Normal Shock by Normal Shock Momentum Equation
Go Velocity Upstream of Shock = sqrt((Static pressure Behind Normal shock-Static Pressure Ahead of Normal Shock+Density Behind Normal Shock*Velocity Downstream of Shock^2)/Density Ahead of Normal Shock)
Density ahead of Normal Shock using Normal Shock Momentum Equation
Go Density Ahead of Normal Shock = (Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Static Pressure Ahead of Normal Shock)/(Velocity Upstream of Shock^2)
Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation
Go Static Pressure Ahead of Normal Shock = Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Density Ahead of Normal Shock*Velocity Upstream of Shock^2
Velocity ahead of Normal Shock from Normal Shock Energy Equation
Go Velocity Upstream of Shock = sqrt(2*(Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2)/2-Enthalpy Ahead of Normal Shock))
Enthalpy ahead of Normal Shock from Normal Shock Energy Equation
Go Enthalpy Ahead of Normal Shock = Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2-Velocity Upstream of Shock^2)/2
Flow Velocity Upstream of Shock Wave using Continuity Equation
Go Velocity Upstream of Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal Shock
Density Upstream of Shock Wave using Continuity Equation
Go Density Ahead of Normal Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Velocity Upstream of Shock

Enthalpy ahead of Normal Shock from Normal Shock Energy Equation Formula

Enthalpy Ahead of Normal Shock = Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2-Velocity Upstream of Shock^2)/2
h1 = h2+(V2^2-V1^2)/2

What is total enthalpy?

At any point in a flow, the total enthalpy is given by the sum of the static enthalpy plus the kinetic energy, all per unit mass.

What is static enthalpy?

Static enthalpy is defined as the sum of the system's internal energy and the product of its pressure and volume. Static enthalpy changes before and after the normal shock.

How to Calculate Enthalpy ahead of Normal Shock from Normal Shock Energy Equation?

Enthalpy ahead of Normal Shock from Normal Shock Energy Equation calculator uses Enthalpy Ahead of Normal Shock = Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2-Velocity Upstream of Shock^2)/2 to calculate the Enthalpy Ahead of Normal Shock, The Enthalpy ahead of Normal Shock from Normal Shock Energy Equation calculates the enthalpy of a fluid ahead of a normal shock wave using the Normal Shock Energy Equation. This formula considers parameters such as the enthalpy behind the shock and the velocities upstream and downstream of the shock. It provides crucial information about the fluid enthalpy before encountering the shock wave, aiding in the analysis of compressible flow behavior. Enthalpy Ahead of Normal Shock is denoted by h1 symbol.

How to calculate Enthalpy ahead of Normal Shock from Normal Shock Energy Equation using this online calculator? To use this online calculator for Enthalpy ahead of Normal Shock from Normal Shock Energy Equation, enter Enthalpy Behind Normal Shock (h2), Velocity Downstream of Shock (V2) & Velocity Upstream of Shock (V1) and hit the calculate button. Here is how the Enthalpy ahead of Normal Shock from Normal Shock Energy Equation calculation can be explained with given input values -> -7101.905399 = 262.304+(79.351^2-80.134^2)/2.

FAQ

What is Enthalpy ahead of Normal Shock from Normal Shock Energy Equation?
The Enthalpy ahead of Normal Shock from Normal Shock Energy Equation calculates the enthalpy of a fluid ahead of a normal shock wave using the Normal Shock Energy Equation. This formula considers parameters such as the enthalpy behind the shock and the velocities upstream and downstream of the shock. It provides crucial information about the fluid enthalpy before encountering the shock wave, aiding in the analysis of compressible flow behavior and is represented as h1 = h2+(V2^2-V1^2)/2 or Enthalpy Ahead of Normal Shock = Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2-Velocity Upstream of Shock^2)/2. Enthalpy Behind Normal Shock is the enthalpy of downstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass, Velocity Downstream of Shock is the velocity of flow behind the shock wave & Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.
How to calculate Enthalpy ahead of Normal Shock from Normal Shock Energy Equation?
The Enthalpy ahead of Normal Shock from Normal Shock Energy Equation calculates the enthalpy of a fluid ahead of a normal shock wave using the Normal Shock Energy Equation. This formula considers parameters such as the enthalpy behind the shock and the velocities upstream and downstream of the shock. It provides crucial information about the fluid enthalpy before encountering the shock wave, aiding in the analysis of compressible flow behavior is calculated using Enthalpy Ahead of Normal Shock = Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2-Velocity Upstream of Shock^2)/2. To calculate Enthalpy ahead of Normal Shock from Normal Shock Energy Equation, you need Enthalpy Behind Normal Shock (h2), Velocity Downstream of Shock (V2) & Velocity Upstream of Shock (V1). With our tool, you need to enter the respective value for Enthalpy Behind Normal Shock, Velocity Downstream of Shock & Velocity Upstream of Shock 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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