"steadily increasing demand" is correct and usable in written English.
You can use it when you want to describe a gradual rise in demand for something over a period of time. For example, "The steadily increasing demand for organic produce has led to a surge in prices."
Mr. Nielsen said his company had seen steadily increasing demand from smaller Web sites.
Furthermore, in today's shrinking world there is a steadily increasing demand, not only for employees with a European profile, but also for those prepared to become globally mobile.
But the steadily increasing demand for palm oil, not just in the United States but also around the world, threatens the future of wild orangutans.
Due to the steadily increasing demand for our services, these users are able to schedule a total of five appointments.
The big picture for the NHS over the next five years is steadily increasing demand for care and a service already close to full stretch.
This is the consequence of a steadily increasing demand for radiological examinations with particular reference to multidetector computed tomography (MDCT), which alone accounts for about 50%% of the overall medical radiation exposure [1].
Emergency departments (EDs) face several challenges in maintaining consistent quality care in the face of steadily increasing public demand.
One of the main symptoms is a steadily increasing oxygen demand on the ventilator, but the complete failure of the graft may also occur.
As the major supplier of gas to the EU, there are concerns regarding whether investment in Russian gas infrastructure is sufficient to keep pace with the forecasts of steadily increasing EU demand to 2030, as well as in the future satisfying the requirements of the fast expanding Asian gas markets (Russian Energy Strategy, Government of the Russian Federation, 2010).
The influence of the packaging system is canalised through an efficient supply chain to add value and satisfy steadily increasing customer demands, described e.g. in the futures research [23].
Additional supply pressures result from steadily increasing clinical demands for the off-label use of IVIg at a rate of 5-105-10%ually [ 11].
