Methods are provided for cleaning a component having internal passages. A method includes contacting the component with an aqueous hydrogen fluoride solution without agitating the solution for a time period in a range of about 20 minutes to about an hour to dissolve a solid piece of blockage material blocking at least a portion of the internal passages, the aqueous hydrogen fluoride solution comprising, by volume, about 40 percent to about 60 percent hydrogen fluoride and optionally, a corrosion inhibitor, and the blockage material comprising a silicate and rinsing the component with water to remove at least a portion of the aqueous hydrogen fluoride solution from surfaces of the component defining at least a portion of the internal passages.