KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel

• Nanofluid Hydrothermal behavior in a porous channel is considered.
• Nusselt number is an increasing function of ϕ, R and m.
• Nusselt number is a decreasing function of α.

Hydrothermal behavior of nanofluid fluid between two parallel plates is studied. One of the plates is externally heated, and the other plate, through which coolant fluid is injected, expands or contracts with time. The effective thermal conductivity and viscosity of nanofluid are calculated by KKL correlation. The effects of the nanoparticle volume fraction, Reynolds number, Expansion ratio and power law index on Hydrothermal behavior are investigated. Results show that heat transfer enhancement has direct relationship with Reynolds number when power law index is equals to zero but opposite trend is observed for other values of power law index.