FLT CREW OF MD80 EXPERIENCE R HYD SYS FAILURE ON APCH TO DFW. FOLLOW APPROPRIATE EMER PROC CHKLIST; DECLARE EMER AND LAND SAFELY. TOWED FROM RWY.

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DSNDING OUT OF FL180; THE HYD PUMPS WERE SWITCHED FROM LOW TO HIGH PRESSURE. PRESSURES AND QUANTITIES APPEARED NORMAL. DSNDED TO 11000 FT MSL; SLOWED TO 210 KTS APCHING DIETZ INTXN. AS THE ACFT SLOWED; THE FO NOTED FLUCTUATIONS IN THE R HYD PRESSURE. GIVEN A DSCNT TO 6000 FT MSL. FO BROUGHT THE PRESSURE FLUCTUATIONS TO MY ATTN AND NOTED THE R HYD QUANTITY DECREASING. IT WAS APPROX 4 QUARTS. I DIRECTED HIM TO DO THE LOSS OF R HYD SYS CHKLIST AND I TOOK THE RADIOS IN ADDITION TO FLYING THE AIRPLANE. AS HE WENT THROUGH THE CHKLISTS; I TOLD APCH WE HAD HYD PROBS; BUT WERE NOT DECLARING AN EMER. I REQUESTED A 15 MI FINAL AND WE CONTINUED THE DSCNT. THE FO POINTED OUT TO ME THAT ALTHOUGH THE CHKLIST LED US TO PUMP THE LNDG GEAR DOWN MANUALLY; IF WE EXTENDED THEM NORMALLY WHILE WE STILL HAD PRESSURE; THE MAIN GEAR DOORS WOULD RETRACT NORMALLY AFTER GEAR EXTENSION; LESSENING ACFT DAMAGE. WE STILL HAD A QUANTITY INDICATED AND PRESSURE INDICATED ON THE R SYS AND I CONCURRED WITH THIS ASSESSMENT; SO I CALLED FOR LNDG GEAR EXTENSION. THE MAIN GEAR NORMALLY TAKES LONGER THAN THE NOSE; BUT IN THIS CASE THE MAIN GEAR CAME DOWN IMMEDIATELY AND THE NOSE GEAR CAME DOWN SLOWLY. ALL GAVE DOWN AND LOCKED INDICATIONS AND THE GEAR DOORS GAVE UP AND CLOSED INDICATIONS. I CONTINUED TO DSND AND SLOWED TO 200 KIAS. THE FO CONTINUED THROUGH THE CHKLISTS AND MOVED ON TO THE LNDG CHKLIST. WE BRIEFLY DISCUSSED THE NEED TO PIN THE GEAR PRIOR TO TAXI AND THE RESTR NOSE GEAR STEERING. AT THAT POINT; I REALIZED WE WOULD HAVE TO STOP ON THE RWY AND DECLARED THE EMER. I FLEW AT 140 KTS UNTIL OVER THE RWY; THEN PULLED THE THROTTLES TO IDLE AND LANDED. WE STOPPED ON THE RWY AND COORD WITH TWR; CFR AND COMPANY MAINT TO GET THE ACFT PINNED AND TOWED TO THE GATE. WE SHUT THE ENG DRIVEN PUMP DOWN ON THE RWY AFTER LNDG. WE THEN SHUT DOWN THE R ENG; WAITED FOR MAINT AND WERE PINNED AND TOWED TO THE GATE. WE WERE IN VFR WX AND IN SIGHT OF THE RWYS FROM THE TIME THE R SYS WENT OUT UNTIL LNDG.