Variational criterion for dissipative structures dominated by coupled mechanisms

By analyzing the similarity between the viscosity-inertia compromise for single fluid in turbulent pipe flow and the particle-fluid compromise in gas-solid fluidization, it is deduced that the variational criterion for dissipative structures dominated jointly by two sub-mechanisms (for instance, viscous effect and inertial effect in turbulent flow; particle movement and fluid movement in fluidization) could be physically expressed as mutually constrained extremum between the individual extremum tendencies of the sub-mechanisms, and could thus be mathematically formulated as a two-objective optimization problem.