"humanitarian science" is correct and is usable in written English.
You can use it when referring to the branch of science that focuses on helping humanity and making improvements to the lives of humankind. For example, "The research conducted by the Humanitarian Science Institute aims to improve healthcare around the world."
Another participant mentioned that the task of the group will determine the size of the group: "The size of group depends on the task, for example, in theory 30 students is good but in clinical teaching the smaller number is more effective because medical teaching depends on personalization not like other humanitarian sciences.
So it's not just a humanitarian, an earth science issue, but it's an economic issue, it's a financial issue.
The direction of science towards humanitarian ends is particularly demonstrated in health science, but the underlying purpose of knowledge for (here social) development is the same.
Embracing the concepts of fragility and antifragility may help integrate key ecological concepts with humanitarian efforts and social sciences.
What's new in Desmond and Moore's interpretation is the idea that this humanitarian concern motivated Darwin's science and guided it on its unique course.
Science is a humanitarian force.
He really saw science as a humanitarian enterprise in some sense, and a shared human enterprise not something that just people with Ph.D.'s in some rarified environment but really something that we collectively, as a human community, have been doing together for millennia.
When science ran afoul of humanitarian ideals, he fought against it too.
"He was a humanitarian scientist, … his love of science and its importance to humanity led to many gifts to all of us," says John Gibbons, science adviser to President William Clinton, calling Golden's contributions to U.S. science "almost immeasurable".
