A mixture of petroleum and natural gas is being transported in a pipeline with a diameter of 102 mm. The pipeline is located in a terrain that caused it to have an average inclination angle of θ = 10°. The liquid phase consists of petroleum with dynamic viscosity of μ_l = 297.5 × 10-⁴ kg/m·s, density of ρ_l = 853 kg/m³, thermal conductivity of k_l = 0.163 W/m · K, surface tension of σ = 0.020 N/m, and Prandtl number of Pr_l= 405. The gas phase consists of natural gas with dynamic viscosity of μ_g = 9.225 × 10^-6 kg/m · s, density of ρg = 9.0 kg/m³, and Prandtl number of Pr_g = 0.80. The liquid is flowing at a flow rate of 16 kg/s, while the gas is flowing at 0.055 kg/s. If the void fraction is α = 0.22, determine the two-phase heat transfer coefficient h_tp. Assume the dynamic viscosity of liquid petroleum evaluated at the tube surface temperature to be 238 × 10^-4 kg/m·s.