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Hydrogen offers high combustion qualities and therefore is chosen as a propellant for the national aerospace plane (NASP). The low density of hydrogen is a major inconvenience; therefore, a solid-liquid mixture called SLUSH hydrogen is used to increase the density and cooling capacity. In this paper, a two-phase mixture is modeled using separated flow model in which the mathematical equations are written separately for each phase where different properties and velocities are considered for each phase. Mass, momentum, energy equations, and interfacial phenomena equations are developed with the inclusion of drag force, virtual mass force, mass and momentum transfer, and interfacial shear stress. turbulence effects are treated and multiparticle drag correlations are used. Results for pressure drop across a 1.5 in. Schedule 5S vacuum-jacketed pipe show good agreement comparing it with earlier experimental data and numerical analysis.