m (mass of nanoparticles kg)= V (Total volume of nanofluid m^3) x (Vf Volume fraction of nanoparticles ) x Rho (Density of nanoparticles kg/m^3)

Regards

Equation of Nanofluids

Density .........................(1)

ρ_nf = (1-φ)ρ_f + φρ_s

Heat Capacitance ..............................(1)

(ρC_p )_nf= (1-φ) (ρC_p )_f+𝛗(ρC_p )_s

Thermal Expansion Coefficient .............................(1)

β_nf = (1-φ)β_f + φβ_s

Thermal Diffusivity ..............................(1)

α_nf =Κ_nf/(ρC_p )_nf

Effective Thermal Conductivity ...............................(1)

Κ_nf/Κ_f = (Κ_s+2Κ_f-2φ(Κ_f-Κ_s))/(Κ_s+2Κ_f+2φ(Κ_f-Κ_s))

Viscosity ..................................(1)

Brinkman model

µ_nf = µ_f/〖(1-φ)〗^(2.5)

Pak and Cho correlation

µ_nf = µ_f ( 1+39.11φ+533.9φ^2 )

Reynolds number

Re= 4Ϻ/(π.D.µ)

Ϻ= (Re.π.D.µ)/4;

where,

[M= Mass flow rate]

[Re= Reynolds number]

[D= pipe diameter]

Reference

1. Combined convection flow in triangular wavy chamber filled with water–CuO nanofluid: Effect of viscosity models