Playing rush. The villain is unknown. Given that he limped in preflop I am assuming that he a fish who doesn't know when to fold.
[hand_history]Full Tilt, $0.10/$0.25 No Limit Hold'em Cash, 6 Players
Poker Tools Powered By
Holdem Manager - The Ultimate
Poker Software Suite. View Hand
#21858011
CO: $54.33 (217.3 bb)
BTN: $26.90 (107.6 bb)
SB: $51.56 (206.2 bb)
Hero (BB): $29.19 (116.8 bb)
UTG: $17.97 (71.9 bb)
MP: $25 (100 bb)
Preflop: Hero is BB with Q

K

4 folds, SB completes,
Hero raises to $0.75, SB calls $0.50
Flop: ($1.50) 8

Q

J
(2 players)
SB bets $1.50, Hero calls $1.50
Turn: ($4.50) K
(2 players)
SB bets $4.50,
Hero raises to $10, SB calls $5.50
River: ($24.50) 4
(2 players)
SB bets $20
I raised on the turn as I thought I would get called by weaker two pairs and draws. I would call a shove.