"everything seems to be working but there is no sound"
If everything was working you would have sound.
Troublshooting these sets is hard over the net. Basic troubleshooting involvs, verifying parts are in good order. Testing the speaker. Test the transformer and power supply. In older sets, you may need to replace the filter capcaitors.. If a cap is shorted, you might have already taken out your power transformer.
This is a common mistake people do. They power up an old set to 'test', in the process they burn up hard to find parts.
If all this is over your head, first please see:http://antiqueradio.org/powerup.htm
I assume you are in the UK? If so, I'd suggest you join this fine group. They can steer you in the right direction.
I can probably get your set running, but it's impossible to do over the net.
If you are in the USA, you may join here:
Another fine group of helpful folks there. So, I'd suggest that you do not power up your set again, until some basic checks have been done, and at least the filter capacitors have been replaced.
Often replacing the filters will result in a working set again.