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Flame Arrow

School transmutation [fire]; Level bloodrager 3, magus 3, sorcerer/wizard 3; Elemental School fire 3


Casting Time 1 standard action
Components V, S, M (a drop of oil and a small piece of flint)


Range close (25 ft. + 5 ft./2 levels)
Target fifty projectiles, all of which must be together at the time of casting
Duration 10 min./level
Saving Throw none; Spell Resistance no

By the way...
This spell can start fires on a ship.

Source Skull & Shackles Player's Guide

Do bonus dice from Channel Smite or spells such as elemental touch or flame arrow multiply on a critical hit?
No. See Multiplying Damage: "Exception: Extra damage dice over and above a weapon’s normal damage are never multiplied." The general rule is the only dice you multiply on a critical hit are the actual dice from the basic weapon (d8 for a longsword, 2d6 for a greatsword, and so on).