Outlet Volume flow rate from a steam turbine

[Izazo]

TL;DR Summary

Turbine or expander in Organic Rankine Cycle. With available data of pressure inlet and outlet of turbine, temperature inlet and outlet, mass flow rate inlet to turbine, inlet & outlet enthalpies and entropies. calculating for a specific (eg 2KW) turbine power output.

I am working Organic Rankine Cycle. I studied a number of research papers and in most of them, they have calculated outlet volume flow rate from the turbine or expander, but have not mentioned the calculations. So here are the available data;

Pin = Turbine Inlet Pressure, 2.5 MPa
Pout = Turbine Outlet Pressure, 0.9 MPa
Tin = Turbine Inlet Temp, 373 K
Tout = Turbine Outlet Temp, 340K
Inlet & outlet enthalpies and entropies
Power output in KW, 2KW
mass flow rate kg/sec, 0.02 kg/sec

How do I calculate Outlet volumetric flow rate (m^3/sec)of a turbine? what is the formula for it?

 

[BvU]

Hello Izazo, !

Is this a homework assignment ?

If it's all vapour, use the ideal gas law -- or, if available, actual molar volume from an equation of state or a property table.

 

[Chestermiller]

The steam tables give this.

 

[Izazo]

Here is what I did;
Volume flow rate at outlet(m^3/sec) = mass flow rate(kg/sec) / Densisty at turbine outlet(kg/m^3)

 

[BvU]

The steam tables give this.

If it's steam we are talking about, ...

 

[Izazo]

The steam tables give this.

Have not seen "Volume flow rate in steam table" though, and its Organic fluid in my calculations.

 

[BvU]

No of course not. What have you seen in the properties of your organic fluid ?

 

[Chestermiller]

Have not seen "Volume flow rate in steam table" though, and its Organic fluid in my calculations.

You seem to have thermodynamic tables for your organic fluid. One of the columns in the tabes is specific volume. Once you know the specific volume of your fluid at the exit and the mass flow rate, this tells you the volume flow rate.

 

[Izazo]

Here is what I did;
Volume flow rate at outlet(m^3/sec) = mass flow rate(kg/sec) / Densisty at turbine outlet(kg/m^3)

So i am using the right formula...
Thanks guys,

 

[Chestermiller]

So i am using the right formula...
Thanks guys,

or equivalently (mass flow rate) x (specific volume)

 

[Stevebeck002]

Thanks, Izazo for sharing this information with us