Two-dimensional Ising films Lx infinity in a nonvanishing bulk magnetic fie
ld H are studied at the bulk critical temperature T-c for two choices of su
rface fields (a) H-1=H-L=0 (ordinary transition), and (b) H-1=H-L=infinity
(normal transition) by the density-matrix renormalization-group method. Uni
versal scaling functions for magnetization profiles, the excess magnetizati
on Gamma, the longitudinal correlation length xi parallel to, and for the a
nalog of the solvation force f(solv) are found and discussed. When H-1=0 th
e scaling function for f(solv) has two symmetric minima at y = sgn(H)L\H\ (
v/Delta) approximate to +/- 1 with an amplitude at the minimum about 3.8 ti
mes the value at H=0, the Casimir amplitude. For the normal transition the
scaling function for f(solv) has a single minimum near the continuation of
the pseudocoexistence (capillary condensation) line, with an amplitude abou
t 100 times the Casimir amplitude.