Boundary Value Problem on Conjugation of Reflection and Transmission of Pressure Pulse through a Wet Porous Barrier
摘要
The paper investigates a boundary value problem for a bulk porous barrier located in a gas. The barrier itself is saturated partly with liquid and partly with gas. A mathematical model of the process under study was constructed and a dispersion relation was obtained. The mathematical formulation takes into account interfacial interaction forces, heat exchange between the skeleton material of the porous barrier and the gas saturating the medium, and the corresponding boundary conditions and coupling conditions are written. The coefficients of transmission and reflection of the wave from the first and second boundaries of the obstacle are found. Using the fast Fourier transform method, the passage of a bell-shaped pulse through an obstacle was studied depending on the parameters of the system.