Heat transfer accompanying forced convection in a poorly permeable medium

Problems and outlooks for petrothermal power engineering (review)

“…Physical models, simulation schemes, and methods for solving the conjugate heat transfer problem for liquid flow in natural and artificial channels have been developed by researchers for different arrangements of flow (Dyadkin et al, 1993), (Nigmatulin, 1978), (Rubinstain, 1972), (Akselrud, 1966), (Carslaw and Jaeger, 1964), (Kitaev, 1972), (Romm, 1972), (Romanov and Smirnova, 1977).…”

“…However, the complexity of formulation of integral formula (15) dictates a high amount of calculations and put limits for engineering computations. There is another method for solving a system of equations (8)− (14): this is the method of equivalent thermal conductivity equation, well tested in several papers (Dyadkin et al, 1993), (Carslaw and Jaeger, 1964), (Kitaev, 1972), (Romm, 1972), (Romanov and Smirnova, 1977). This method takes integral approximation for the Duhamel integral which describes unsteady heat transfer for the plates.…”