pleura (n.), pleural (adj.)

https://doi.org/10.1351/goldbook.11101

Each of a pair of serous membranes lining the thorax and enveloping the lungs in humans and other mammals.

Note: The pleural membrane covering the lungs and extending into the fissures of the lobes is called the visceral pleura and lacks a nerve supply. That lining the chest cavity, mediastinum, and diaphragm is called the parietal pleura; it is innervated and sensitive to pain.
Source:
PAC, 2016, 88, 713. 'Glossary of terms used in developmental and reproductive toxicology (IUPAC Recommendations 2016)' on page 793 (https://doi.org/10.1515/pac-2015-1202)