Thermal and physical attributes

Aggregation

Dynamic viscosity

μ m n f μ f = ( 1 Φ a Φ m ) 2.5 ( Φ m )

Density

ρ m n f ρ f = ( 1 Φ a ) + ( Φ ρ ) a ρ f

Specific-heat capacity

( ρ c p ) m n f ( ρ c p ) f = ( 1 Φ a ) + ( Φ ρ c p ) a ( ρ c p ) f

Thermal conductivity

k m n f k f = ( k a + 2 k f + 2 Φ a ( k a k f ) k a + 2 k f Φ a ( k a k f ) )

Electrical conductivity

σ m n f σ f = 1 + ( 3 ( σ a σ f 1 ) Φ a ( σ a σ f + 2 ) ( σ a σ f 1 ) Φ a )