Step 1: In a normal batch culture, microorganisms go through lag, log, stationary and death phases because nutrients run out and waste builds up.
Step 2: A chemostat is a continuous culture device that constantly feeds in fresh medium at a fixed rate while removing an equal volume of culture, which keeps nutrient concentration and cell density steady.
Step 3: Because nutrients never get depleted, the population is held in the exponential (log) phase of growth for a long time.
Step 4: An autoclave sterilizes equipment and media, laminar flow provides a sterile air chamber for handling cultures, and a fermentor is a general vessel for large scale culture that need not be run continuously. So the specific answer is chemostat.