Encyclopedia

E

Encyclopedia

Knowledge card

Mixture Rules (ρ, ρCp, ρβ)

Mathematical Modelling — Fluid Dynamics & Heat TransferContinuum mechanics; boundary-layer similarity theory

Volume-fraction-weighted rules for the density, volumetric heat capacity, and thermal expansion of the mixture.

Dimension I

Definition

What it is — and what it is not

What it is
  • S1Volume-fraction-weighted averages for the bulk mixture properties. [1.1]
Attributes
  • S2ρ_hnf, (ρCp)_hnf, and (ρβ)_hnf are linear combinations of the base-fluid and particle values weighted by φ. [1.1]

Dimension II

In practice

How to deal with it

No practical guidance recorded yet.

Sub-topics 10

References

  1. Aziz et al. (2021), DOI 10.1007/s10973-020-10210-2.

    • 1.1

      Article property model — Evidence for additive bulk-property usage in the steady comparison model; Takabi & Salehi (2014), seeded separately, supplies the selected hybrid convention.

      Corroborated

  2. Takabi & Salehi (2014), Adv. Mech. Eng. 6, 147059.

    • 2.1

      AME 6, 147059 — Absolute final-mixture convention: φ=φ₁+φ₂ and p_hnf=(1−φ)p_f+φ₁p_s₁+φ₂p_s₂ for p∈{ρ,ρCp,ρβ}; β_hnf=(ρβ)_hnf/ρ_hnf.

      Established
copyright© owned by Webiscopic Sdn. Bhd. 2026. All right reserved.
vproductionmain @ 5d8445a3