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"of unknown duration" is a perfectly correct and usable phrase in written English
You can use it when you are referring to something that has no definite or known length of time. For example: "The power outage will last for some amount of time of unknown duration."
Exact(29)
It would be the start of a war of unknown duration and immense human, material, and political cost.
As the American involvement in Iraq has become a commitment of unknown duration, comparisons to the Vietnam War are more and more common.
The conglomerate that begins the Bruce is separated from pre-Huronian schists by a profound erosional surface representing a time span of unknown duration.
"Without prejudging the outcome of mechanistic studies being written up for publication," he wrote, "it is entirely possible that granting your request could entail a delay of unknown duration with no public discussion or review of the strong new studies that are now available".
Bafflingly assigned to a Saturday slot following three Wimbledon finals of unknown duration, with rain forecast several days ahead, the starry, costly and heavily promoted production of Henry IV Part 1 predictably had to be postponed during the tennis to 10pm, so that it ended at midnight ("no notice, rubbish scheduling", tweeted Polly Toynbee).
[C1.] An Uncertain Future for Media in New Orleans New Orleans media outlets, including The Times-Picayune and seven television stations, have been left to contemplate a surreal future of unknown duration in a city void of functioning businesses, with no goods to advertise and almost no people to buy them.
Similar(30)
† Number of patients with unknown duration of diabetes was 11 in the sitagliptin group and 5 in the non-exposed group.
Our routing algorithm can be also applied in the context of machine load balancing of tasks with unknown duration.
Limitations of our study include the unknown duration of exposure to 5-ARI and α-blockers before the study period for a majority of men due to the fact that The Prescribed Drug Register started in July 2005.
This approach is less sensitive than a longitudinal analysis of time to AIDS and it could be biased by the unknown duration of infection of the included subjects.
As users of oral contraceptives containing drospirenone were more likely to have a new episode of use than were users of those containing levonorgestrel, we stratified on new versus unknown duration of use to evaluate possible bias or modification of effect.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com