Thank you for your help. I want to know if it is possible to apply Stodola equations to model single stage turbine

are these books available in English?

The best books to look at are Rotordynamics by RAO andq rotating machine design by Goodwin and vibrations by Den Hartog, all three have std stodola rotors in the text.

P

Stodola equation cannot be applied to a single stage, unless that the expansion ratio is constant. Stodola equation can be applied only for a group of stages greather then 3 and if the pressure after the last stage is constant

Thank you a lot for these valuable information.

Dear Nicolas Salvat ,

I found the article. Would you please send me the book if you have it? I want this model to investigate the effect of inflow on performance of turbine, specially when turbine goes under choking conditions.

Best regards

Talieh

Stodola was an icon of the steam turbine domain. He had contributions both of flow path and rotor dynamics. My comment was about Stodola equation regarding the off-design behavior of the stage: http://en.wikipedia.org/wiki/Ellipse_Law

Dear Gabriel Negreanu,

Thank you in advance for your precise reply.

Outlet pressure of turbine is constant. In the case of un-choked turbine, can I apply Stodola equation to the single-stage turbine?

Which methodology do you suggest to model an axial single-stage turbine?

Best regards

Talieh

For an axial single-stage turbine, you should have the design constructive and cinematic data. Basing on that, you can perform a verification calculus of the stage, mentaining constant the geometrical dimensions of the stage (main diameter, nozzzle and bucket height, etc.) and variate the steam mass-flow, that changes the nozzle inlet pressure, according to the Stodola equation. You will get different velocity triangles and different efficiency and power output.

Please define the operating conditions of the un-choked turbine.

Dear Gabriel Negreanu,

Thank you in advance for your thorough reply.

On performance curve of turbine, we have elliptic curve before choking. To work in this part, as unchoked conditions, is it possible to employ Stodola equation? (for a single stage axial turbine) or it is better to find another methodology?

Best regards

Talieh

Dear Talieh

Your single stage turbine has one control-valve or more than one ? What kind of nozzle your stage has ? Convergent or convergent-divergent ?

Regards,

Gabriel

Dear Gabriel,

At the moment, I am modelling the process of a thermodynamic cycle. Therefore, configuration of turbine, is not clear yet. From process aspect, performance equation of single stage turbine is important for me. Do you suggest me to have defined shape of turbine?

Best regards

Talieh

Certainly ! A single stage can be Laval (one control-valve and one nozzle-blades stage) or Curtis (many control valves and one nozzle raw and two mobile blades intercalated with a fixed blades raw). They act differently!!!

What is the outpout power you need and what is the output machine (electric generator or compresssor) ?

Dear Gabriel,

Thank you a lot for your suggestion on turbine type. Would you please tell me about appropriate methodology to model it?

I need about 1 MW power (electric generator).

Best regards

Talieh

Dear Nicolas Salvat,

Thanks a lot for your notifications. Would you suggest your ideas about Flow Paths?

Sicerely,

Talieh

Dear Talieh

I will search in my library something useful for your research and send you in few days.

Good luck !

Gabriel

Dear Gabriel,

Thank you in advance for your help and beneficial comments. I am looking forward hearing from you.

Sincerely

Talieh

Dear Nicolas.

Thank you for your comment.

I, also, wish best luck for you.

Talieh

Dear Talieh,

I found a book that could be useful for you:

A.V. Schegliaev - Turbinas de vapor, La teoria del proceso termico y las construcciones de turbinas, Parte 2: Funcionamento dela turbina en el regimen variable, pp 9-77. Publisher Energia, Translated from Russian to Spanish: Editorial MIR, Moscu, 1978.

I hope you can find it.

Good luck !

Gabriel

Dear Gabriel,

Thank you a lot.

Best regards

Talieh

having read this and other question about flow in turbines, I strongly suggest the NASA-SP 290 and a series of reports from Arthur Glassman and Warner Stewart (in NACA). Apart of these, the paper of Carter "Analysis of geometry and Design point performance of axial-flow turbines..." NASA-CR 1456 is of stunning utility.

In NATO ASI series E 97A. "thermodynamics and fluid mechanics of turbomachinery" (vol II) you will find excellent material of preliminary design and quick estimation of performances. For example the paper of Sieverding "axial turbine performance prediction methods".

Being in Italy, you can easily consult the works of Ennio Macchi, or at the same Mr. Macchi. A pioneer in ORC.

Thank you dear Lisandro Rodriguez :)