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An improved semi-empirical friction model is proposed. • The interfacial turbulent parameters are derived using the mean velocity. • The pressure gradient is validated against experimental data. • The results show that by our modifications: deviation from the experiments diminishes about 3%, and the slip condition on the interface is satisfied.doi:10.1016/j.taml.2020.01.013 fatcat:7k2a4yck3zdkhcmjg5prcf5l3i