Filtered models for bidisperse gas–particle flows

• The dependence of filtered quantities for bidisperse gas–particle flows is discussed.
• Dominant scalings for the filtered fluid–particle drag and particle–particle drag coefficients are developed and discussed.
• Scalings for the filtered particle phase stress are also developed and discussed.

Using the microscopic multi-fluid model as a starting point we perform fine grid simulations of bidisperse gas–particle flows to examine the dependence of the filtered fluid–particle drag coefficient, particle–particle drag coefficient, and particle phase stress on the volume fractions and sizes of the particles and the filter size. Scalings are identified for the filtered fluid–particle drag coefficient, particle–particle drag coefficient, and particle phase pressure that capture the dependence of each filtered correction on the size and volume fraction ratios of the bidisperse assembly.