Data analysis of thermal performance and irreversibility of convective flow in porous-wavy channel having triangular obstacle under magnetic field effect

. 2024 Jul 16;10(14):e34580. doi: 10.1016/j.heliyon.2024.e34580

Density	:	$ρ_{n f} = (1 - ϕ) ρ_{f} + ρ_{A} ϕ_{A}$
Dynamic viscosity	:	$μ_{n f} = (1 + 7.3 ϕ + 123 ϕ^{2}) μ_{f}$
Thermal expansion coefficient	:	$β_{n f} = (1 - ϕ) β_{f} + β_{A} ϕ_{A}$
Buoyancy co-efficient	:	${(ρ β)}_{n f} = (1 - ϕ) {(ρ β)}_{f} + {(ρ β)}_{A} ϕ_{A}$
Heat capacity	:	${(ρ c_{p})}_{n f} = (1 - ϕ) {(ρ c_{p})}_{f} + {(ρ c_{p})}_{A} ϕ_{A}$
Thermal conductivity	:	$k_{n f} = \frac{(k_{A} + 2 k_{f} - 2 ϕ (k_{f} - k_{A}))}{(k_{A} + 2 k_{f} + ϕ (k_{f} - k_{A}))} k_{f} + \frac{ϕ_{A} {(ρ c_{p})}_{A}}{2} \sqrt{\frac{K_{B} T_{r e f}}{3 π μ_{f} d_{A}}}$
Thermal diffusivity	:	$α_{n f} = \frac{k_{n f}}{{(ρ c_{p})}_{n f}}$
Electrical conductivity	:	$σ_{n f} = (1 + \frac{3 (\frac{ϕ_{A} σ_{A}}{σ_{f}} - ϕ)}{(\frac{ϕ_{A} σ_{A}}{ϕ σ_{f}} + 2) - (\frac{ϕ_{A} σ_{A}}{σ_{f}} - ϕ)}) σ_{f}$