The dryness fraction at constant volume heating or cooling is illustrated by the image below. To calculate the dryness fraction at constant volume heating or cooling, four essential parameters are needed and these parameters are Specific Volume of Gas at Point 2 (Vg2), Specific Volume of Gas at Point 1 (Vg1), Superheated Steam Temprature (Tsup) and Saturated Temprature (Ts).
The formula for calculating dryness fraction at constant volume heating or cooling:
x = Vg2 Tsup / Vg1 Ts
Where:
x = Dryness Fraction
Vg2Â = Specific Volume of Gas at Point 2
Vg1Â = Specific Volume of Gas at Point 1
Tsup = Superheated Steam Temprature
Ts = Saturated Temprature
Given an example;
Find the dryness fraction when the specific volume of gas at point 2 is 4, the specific volume of gas at point 1 is 9, the superheated steam temperature is 6 and the saturated temperature is 2.
This implies that;
Vg2 = Specific Volume of Gas at Point 2 =4
Vg1 = Specific Volume of Gas at Point 1 = 9
Tsup = Superheated Steam Temprature = 6
Ts = Saturated Temprature = 2
x = Vg2 Tsup / Vg1 Ts
So, x = 4 x 6Â /Â 9 x 2
x =Â 24Â /Â 18
x = 1.33
Therefore, the dryness fraction is 1.33.
Calculating the Specific Volume of Gas at Point 2 when the Dryness Fraction, the Specific Volume of Gas at Point 1, the Superheated Steam Temperature and the Saturated Temperature are Given
Vg2 = x(Vg1 Ts) / Tsup
Where:
Vg2Â = Specific Volume of Gas at Point 2
x = Dryness Fraction
Vg1Â = Specific Volume of Gas at Point 1
Tsup = Superheated Steam Temprature
Ts = Saturated Temprature
Let’s solve an example;
Find the specific volume of gas at point 2 when the dryness fraction is 10, the specific volume of gas at point 1 is 4, the superheated steam temperature is 12 and the saturated temperature is 2.
This implies that;
x = Dryness Fraction = 10
Vg1 = Specific Volume of Gas at Point 1 = 4
Tsup = Superheated Steam Temprature = 12
Ts = Saturated Temprature = 2
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Vg2 = x(Vg1 Ts) / Tsup
Then, Vg2 = 10(4)(2) / 12
Vg2 = 80 / 12
Vg2 = 6.67
Therefore, the specific volume of gas at point 2 is 6.67
Read more:Â How to Calculate and Solve for Dryness Fraction | Enthalpy
Calculating the Specific Volume of Gas at Point 1 when the Dryness Fraction, the Specific Volume of Gas at Point 2, the Superheated Steam Temperature and the Saturated Temperature are Given
Vg1 = Vg2 Tsup / x Ts
Where:
Vg1Â = Specific Volume of Gas at Point 1
x = Dryness Fraction
Vg2Â = Specific Volume of Gas at Point 2
Tsup = Superheated Steam Temprature
Ts = Saturated Temprature
Let’s solve an example;
Find the specific volume of gas at point 1 when the dryness fraction is 8, the specific volume of gas at point 2 is 4, the superheated steam temperature is 12 and the saturated temperature is 2.
This implies that;
x = Dryness Fraction = 8
Vg2 = Specific Volume of Gas at Point 2 = 4
Tsup = Superheated Steam Temprature = 12
Ts = Saturated Temprature = 2
Vg1 = Vg2 Tsup / x Ts
So, Vg1 = (4)(12) / (8)(2)
Vg1 = 48 / 16
Vg1 = 3
Therefore, the specific volume of gas at point 1 is 3.
Calculating the Superheated Steam Temperature when the Dryness Fraction, the Specific Volume of Gas at Point 2, the Specific Volume of Gas at Point 1 and the Saturated Temperature are Given
Tsup = x(Vg1 Ts) / Vg2
Where:
Tsup = Superheated Steam Temprature
x = Dryness Fraction
Vg2Â = Specific Volume of Gas at Point 2
Vg1Â = Specific Volume of Gas at Point 1
Ts = Saturated Temprature
Let’s solve an example;
Find the superheated steam temperature when the dryness fraction is 14, the specific volume of gas at point 2 is 4, the specific volume of gas at point 1 is 3 and the saturated temperature is 2.
This implies that;
x = Dryness Fraction = 14
Vg2 = Specific Volume of Gas at Point 2 = 4
Vg1 = Specific Volume of Gas at Point 1 = 3
Ts = Saturated Temprature = 2
Tsup = x(Vg1 Ts) / Vg2
So, Tsup = 14(3)(2) / 4
Tsup = 84 / 4
Tsup = 21
Therefore, the superheated steam temperature is 21.
Calculating the Saturated Temperature when the Dryness Fraction, the Specific Volume of Gas at Point 2, the Specific Volume of Gas at Point 1 and the Superheated Steam Temperature are Given
Ts = Vg2 Tsup / x Vg1
Where:
Ts = Saturated Temprature
x = Dryness Fraction
Vg2Â = Specific Volume of Gas at Point 2
Vg1Â = Specific Volume of Gas at Point 1
Tsup = Superheated Steam Temprature
Let’s solve an example;
Find the saturated temperature when the dryness fraction is 8, the specific volume of gas at point 2 is 4, the specific volume of gas at point 1 is 10 and the superheated steam temperature is 16.
This implies that;
x = Dryness Fraction = 8
Vg2 = Specific Volume of Gas at Point 2 = 4
Vg1 = Specific Volume of Gas at Point 1 = 10
Tsup = Superheated Steam Temprature = 16
Ts = Vg2 Tsup / x Vg1
So, Ts = (4)(16) / (8)(10)
Ts = 64 / 80
Ts = 0.8
Therefore, the saturated temperature is 0.8
How to Calculate the Dryness Fraction at Constant Volume Heating or Cooling With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the dryness fraction at constant volume heating or cooling.
To get the answer and workings of the dryness fraction at constant volume heating or cooling using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
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You can also try the demo version via https://www.nickzom.org/calculator
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Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Chemical Reaction Thermodynamics under Materials and Metallurgical
Now, Click on Enthalpy under Chemical Reaction Thermodynamics
So, Click on Dryness Fraction at Constant Volume Heating or Cooling under Enthalpy
The screenshot below displays the page or activity to enter your values, to get the answer for the dryness fraction at constant volume heating or cooling according to the respective parameter which is the Specific Volume of Gas at Point 2 (Vg2), Specific Volume of Gas at Point 1 (Vg1), Superheated Steam Temprature (Tsup) and Saturated Temprature (Ts).
Now, enter the values appropriately and accordingly for the parameters as required by the Specific Volume of Gas at Point 2 (Vg2) is 4, Specific Volume of Gas at Point 1 (Vg1) is 9, Superheated Steam Temprature (Tsup) is 6Â and Saturated Temprature (Ts) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia can calculate the dryness fraction at constant volume heating or cooling and presents the formula, workings and steps too.
