FIG. 1 is a perspective view of the rotary hand pump. FIG. 2 is a front elevation view of the rotary hand pump. FIG. 3 is a first side elevation view of the rotary hand pump. FIG. 4 is a second side elevation view of the rotary hand pump. FIG. 5 is a rear elevation view of the rotary hand pump. FIG. 6 is a bottom view of the rotary hand pump; and, FIG. 7 is a top plan view of the rotary hand pump.