The effective dissipation of hydraulic energy is crucial for ensuring the stability of hydraulic structures and mitigating erosion risks. This study presents the first experimental and analytical investigation into the combined effects of transverse bed inclination and roughness on hydraulic jump characteristics, energy dissipation, and free-surface flow dynamics in an asymmetrical trapezoidal channel. A novel stilling basin configuration was developed, featuring a transversely inclined rough bed with an inclination angle of \(m =\) 0.307 and vertical lateral walls, with four bed roughness configurations of varying heights \({k}_{e}=\) 7.22, 14.32, 24.47, and 30.76 \(\text{mm}\) . New analytical solutions were developed to estimate the sequent depth ratio and energy loss, showing excellent agreement with experimental data within a margin of ± 22%. The findings revealed three-dimensional flow patterns on the free surface, characterized by significant secondary turbulence that enhances energy dissipation. The results showed that increasing the bed slope and roughness led to a decrease in the depth ratio, with the percentage reduction varying across all configurations. The average reduction factor was 0.76 compared to the classical jump. Additionally, the relative length of the jump decreased by 31.16%, while energy loss increased by 13.56%, and the bed shear stress coefficient increased by 64.65%. Empirical equations were developed to predict jump characteristics, demonstrating error margins of ± 10% and ± 15%, which closely align with the observed data.
