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Jellyfish galaxies are the prototypical examples of satellite galaxiesundergoing strong ram pressure stripping (RPS). We analyze the evolution of 535unique, first-infalling jellyfish galaxies from the TNG50 cosmologicalhydrodynamical galaxy simulation. These have been visually inspected to beundergoing RPS sometime in the past 5 billion years (since $z=0.5$), havesatellite stellar masses $M_{\star}^{\rm sat}\sim10^{8-10.5}{\rm M}_\odot$, andlive in hosts with $M_{\rm 200c}\sim10^{12-14.3}{\rm M}_\odot$ at $z=0$. Wequantify the cold gas $(\leq10^{4.5}$K) removal using the tracer particles,confirming that for these jellyfish, RPS is the dominant driver of cold gasloss after infall. Half of these jellyfish are completely devoid of cold gas by$z=0$, and these galaxies have earlier infall times and smallersatellite-to-host mass ratios than those that still have some gas today. RPScan act on jellyfish galaxies over long timescales of $\approx1.5-8$Gyr.Jellyfish in more massive hosts are impacted by RPS for a shorter time spanand, at a fixed host halo mass, jellyfish with lower stellar masses at $z=0$have shorter RPS time spans. While RPS may act for long periods of time, thepeak RPS period -- where at least 50% of the total RPS occurs -- begins within$\approx1$Gyr of infall and lasts $\lesssim2$Gyr. During this period, thejellyfish are at host-centric distances between $\sim0.2-2R_{\rm 200c}$,illustrating that much of RPS occurs at large distances from the host galaxy.Jellyfish continue forming stars until they have lost $\approx98$% of theircold gas. For groups and clusters in TNG50 $(M_{\rm 200c}\sim10^{13-14.3}{\rmM}_\odot)$, jellyfish galaxies deposit more cold gas ($\sim10^{11-12}{\rmM}_\odot$) into halos than exist in them at $z=0$, demonstrating thatjellyfish, and in general satellite galaxies, are a significant source of coldgas accretion.

Jellyfish galaxies with the IllustrisTNG simulations -- When, where, and for how long does ram pressure stripping of cold gas occur?