A sketch (& much less a detailed drawing) can't be sent you because you haven't furnished an address. Additionally, this site doesn't permit publishing addresses so don't even try.
However, your question is very simple: a JT (Joule-Thomson) valve is nothing more than an expansion valve - usually constructed very much in the style of a needle valve. You can achieve the Joule-Thomson effect (the free expansion of a compressed gas or gaseous mixture) using any throttling valve - but a needle valve has proven to furnish the operational control sought. In the "oil patch" this valve is usually called a "choke" or a choke valve and it usually is fabricated in the style of a 90o (or angle) valve.
Straight cage/globe valves can also function as a JT valve. I have selected cage style globe patterns for the JT around a turbo-expander compresser. I second Montemayor's choke suggestion too.
Montemayour is correct, many chokes are 90° angle valves.
You can also get an "inline" choke valve style. If you need an inline valve, the same manufacturer of the angle valve will also usually carry the inline style.
"Do not worry about your problems with mathematics, I assure you mine are far greater."
Albert Einstein
Have you read FAQ731-376 to make the best use of Eng-Tips Forums?