"steadily growing demand" is a correct and usable phrase in written English that you can use when referring to a gradually increasing need for something.
For example, "We have seen a steadily growing demand for organic produce in recent years."
Those cuts come amid steadily growing demand for its services.
G.M. benefited from a steadily growing demand from the construction industry for new pickup trucks.
Faced with steadily growing demand, the school system has provided additional funds to accommodate the summer students.
In the face of what she said is a steadily growing demand for her products and the need to expand her plant, Ms. Johnson said she knows she must expand her sales and office staff to concentrate on product development.
Despite expectations for rising sales, steadily growing demand over the long term, and another year of exuberant investment from venture capital, the solar bubble has been increasingly overdue for a correction and got a good one over the past month.
With increasing doses of O3 this elevation in enzyme activity was found to be gradually diminished, possibly due to a steadily growing demand, leaving the overshoot becoming continually smaller until a balanced state is achieved.
Despite the steadily growing scientific demand, data are not easily accessed.
* The US shale gas boom happened at a time when gas prices were rising and most analysts predicted steadily growing gas demand for years ahead.
But experts in oil economics say that the oil is coming out of the ground in any event because of steadily growing global demand and the heavy investment in infrastructure already made in Alberta.
The prices are high in large part because of steadily growing worldwide demand for food, and because of natural disasters that have hurt harvests, but they're also affected by government policies.
With the increase of remix works and the steadily growing global demands, Crypton Future Media, INC. engages consciously in the promotion, support and cultivation of the Hatsune Miku community".
