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Understanding the temperature dependence of thermal boundary resistance, orKapitza resistance, between liquid helium and sintered metal has posed aproblem in low temperature physics for decades. In the ballistic regime ofsuperfluid $^{3}$He-B, we find the Kapitza resistance can be described viascattering of thermal excitations (quasiparticles) with a macroscopic geometricarea, rather than the sintered metal's microscopic area. We estimate that aquasiparticle needs on the order of 1000 collisions to successfully thermalisewith the sinter. Finally, we find that the Kapitza resistance is approximatelydoubled with the addition of two mono-layers of solid $^{4}$He on the sintersurface, which we attribute to an extra magnetic channel of heat transfer beingclosed as the non-magnetic solid $^{4}$He replaces the magnetic solid $^{3}$He.

Effect of boundary condition on Kapitza resistance between superfluid $^{3}$He-B and sintered metal