Playstation 3 turns on than turns off with flashing red light

Have you tried putting it in stand by?

There is a blog post that related to your case. Flashing red light and won't turn on seems can be fixed by yourself.
Please read : PS3 Red Light Blinking Fix

Hello,

Follow the procedure below to fix the problem on your ps3,

1. Turn off Playstation®3.
2. Hold the power button down; the system will turn on and turn off once again.
3. Once the System has been shutdown, re-press you finger until you hear 2 consecutive beeps
4. When you hear the 2 beeps take finger off power button.
5. You will be prompted to plug in your controller via USB and then hit the PS button
6. The Recovery menu will pop up.

The current Recovery Menu supports:
• Restart System: Restarts the PLAYSTATION®3 System.
• Restore Default Settings: Reset all system settings back to default.
• Restore File System: Checks for corrupt/missing system files.
• Rebuild Database: Rebuilds the OS for the PLAYSTATION®3.
• Restore PS3 System: Fresh restore; Deletes everything and starts from Scratch.
• System Update: Update the PLAYSTATION®3 System.

Take care.

turn it on cover it in lots of towels leave it for 30-45 minutes it should work it worked with me good luck

do you get a yellow light? i bet you do..

1)Turn off your playstation 3. If you think your ps3 has been caught by the heat, then wait at least 20 minutes and put it back on again
2) Check if there's any loose cable.
3) Try to put out your playstation's hard-drive, and put it back in. You might want to repeat this 2-3 times for better results.

If this did not work
Send your playstation back to Sony

its an overheating problem. your motherboard is probably fried and you need a new console.

yellow light of death, ring playstation

Hmm, that sounds like the "red light of death".

This article might be of use to you.

PS3 Red Light Fix

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mine too