In the Langmuir–Hinshelwood mechanism both reactants are adsorbed and react on the surface; in the Eley–Rideal mechanism an adsorbed reactant reacts with a molecule arriving from the gas.
Chemistry · Glossary
What is Langmuir–Hinshelwood and Eley–Rideal mechanisms?
Also known as: Langmuir--Hinshelwood mechanism · Eley--Rideal mechanism