How to calculate centerbody thrust of an aerospike nozzle in Fluent
 

Fellas,
I'm trying to calculate the thrust of an Aerospike nozzle using fluent but I don't know how to calculate the thrust of centerbody. I've found three kinds of equations to calculate the centerbody thrust. here are the links the source of calculating thr thrust:


https://www.researchgate.net/publica...whcqOzQhKJKivQ
(see equation 5 for centerbody thrust)

https://www.researchgate.net/publica...rospike_Nozzle
(equation 15 for centerbody thrust)

http://www.aerospaceweb.org/design/a...dynamics.shtml




In these three sources, there are three kinds of calculating the centerbody thrust as you can see. How can I get an integral for calculating this equation in Fluent?


http://www.aerospaceweb.org/design/a...tions/eq05.gif

I think we can do it using "integral surface" in fluent but it doesn't calculate "Pcenterbody-Pambint". Any idea?

you may take a look into Custom Field Function Calculator tool in fluent (user-defined -> custom..)
However, depending on what do you mean under Pambient (is it constant everywhere or not), implementation may become difficult

best regards

Thank you
Yeah, Pambient is constant, everywhere.

in that case go to custom field function and define there you custom variable
I think you should get something like this
where 101315 is Pambient

than go to Report -> surface integrals -> select there are-weight average value ( under report type) and your new custom field function (under filed variable), select nozzle surface

best regards

Thank you
Here is a screenshot of my Aerospike nozzle:


https://www.cfd-online.com/Forums/at...1&d=1532957768


There is a line for sampling and averaging velocity and mass flow and pressure.

Totally I'm confused that how to calculate the total thrust. I've several source of calculating the total thrust. here is the links of total thrust and it's sources.


https://www.cfd-online.com/Forums/at...1&d=1532958465


https://arc.aiaa.org/doi/10.2514/1.40302

https://www.cfd-online.com/Forums/at...1&d=1532958522


https://www.researchgate.net/publica...rospike_Nozzle


https://www.cfd-online.com/Forums/at...1&d=1532958601


https://www.researchgate.net/publica...whcqOzQhKJKivQ

IMO the correct relation for calculating the total thrust is this:



http://uupload.ir/files/fxjl_dytyjukopadwq.png

If we assume that this is our Aerospike nozzle:


http://uupload.ir/files/am04_xtjkjh.png


Am I right? and due to this link, "Area weighted average" and "Integral" are written in this way, respectivly:


https://www.sharcnet.ca/Software/Flu...g/img14203.gif

and

https://www.sharcnet.ca/Software/Flu...g/img14202.gif


So, don't you think we have to use "Integral" instead of "Area weighted average"? Ok, I need to add Cos(tetha) to the right hand side of the above equation and to the tetha. How can I do this?

Hey I know this thread is old, but did you ever find an answer here? I would be quite interested!