DC10-30 LOSES AFT OUTBOARD COWLING ON #3 ENG AFTER TKOF AND DURING CLBOUT FROM MANCHESTER; ENGLAND. ONLY COCKPIT INDICATION WAS THE LACK OF ANY #3 EGT INDICATION. ACFT HAD PRODUCED A NOISE DURING TKOF AND A BUFFET DURING CLB. FLT CONTINUED TO THEIR UNITED STATES DEST ARPT.

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SOON AFTER TKOF WE HEARD A THUD WHICH WE PERCEIVED TO BE A BIRD STRIKE. WHEN WE PASSED THROUGH APPROX 5000 FT WE HIT SOME TURB WHICH I PERCEIVED TO BE WAKE TURB. SOON AFTER THE TURB AT 5000 FT A FLT ATTENDANT CALLED UP TO SEE IF EVERYTHING WAS OK. AT THIS TIME WE LEARNED THAT THE THUD ON TKOF SOUNDED LIKE AN ENG FAILURE TO THEM. DURING THIS WHOLE TIME ALL ENG INDICATIONS WERE NORMAL WITH 1 EXCEPTION. AFTER THE TURB AT +/-5000 FT; I NOTICED #3 EGT WAS INOP. ANALOG AND DIGITAL BOTH READ ZERO. THE CAPT AND THE FO HAD ALREADY NOTICED THIS. ATC THEN CALLED AND RPTED METAL HAD FALLEN OFF AN ACFT. AT A SAFE ALT; I WENT BACK AND VISUALLY INSPECTED BOTH WINGS AND #1 AND #3 ENGS. I FOUND NOTHING WRONG WITH THE ACFT. WITH THE EXCEPTION OF THE LOSS OF ALL ENG #3 EGT READINGS; THE ENGS ALL WERE NORMAL AND FUEL FLOWS FROM MANCHESTER TO EWR WERE ALL NORMAL. THE CAPT EXERCISED EXCELLENT CRM/CCC AND ENCOURAGED CREW INPUT. HE ALSO HAD ME CALL COMPANY DISPATCH AND MAINT AND ADVISE THEM OF THE THINGS WRITTEN ABOUT PREVIOUSLY. SUPPLEMENTAL INFO FROM ACN 378825: ABOUT 30 MINS AFTER TKOF WE WERE ADVISED BY SCOTTISH CTL THAT A PIECE OF METAL WAS FOUND NEAR THE ARPT. AFTER WE LANDED WE FOUND A SECTION OF THE #3 ENG AFT OUTBOARD COWLING WAS MISSING.