The surrounding and capture of a worker by a liquid or fine, flowing solid that can be breathed into the lungs or could crush or strangle is called:

The term that describes the surrounding and capture of a worker by a liquid or fine, flowing solid that poses a risk of being breathed into the lungs or potentially crushing or strangling the individual is "engulfment." Engulfment specifically refers to situations where a person is overwhelmed by materials like liquids or fine solids, which can lead to suffocation or physical harm. When a worker is engulfed, they may be unable to escape, increasing the risk of asphyxiation or drowning in the substance.

Entrapment generally refers to a situation where an individual is confined or caught in a way that does not necessarily involve a liquid or fine flowing solid. Asphyxiation is more specifically associated with a lack of oxygen or interference with breathing, rather than the physical engulfing by a substance. Inhalation pertains to the act of breathing in, but it does not encompass the broader risks associated with being surrounded by hazardous materials. Thus, engulfment is the most accurate term to describe the dangerous scenario outlined in the question.