The most common and most likely answer to this crossword clue is the 6 letter word ISOBAR
I've seen this crossword clue in The Sunday Telegraph
I
S
O
B
A
R
More clues leading to the result ISOBAR
- I very much refuse to consider weather indicator
- One fly straddles black line on weather map
- Line on map observed at first in island pub
- I like this pub. It appears on some maps
- Line showing pressure of abrasion, endlessly repaired
- Evidence of pressure or bias, strangely
- Line on certain maps represents old pub
- One of many keeping close together when there's a gale?
- Current cartographers put back rail line on map
- First person keen to go on a river that is shown on maps
Buddy explains!

The straight part
We know that "on which pressure is constant" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case on which pressure is constant = isobar.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does ISOBAR mean?
ISOBAR noun- A line drawn on a map or chart connecting places of equal or constant pressure.
- Either of two nuclides of different elements having the same mass number.
- A set of points or conditions at constant pressure.