The wavy rib is a spoiler structure designed to improve flow and heat transfer within turbine blade cooling channels, offering valuable insights for efficient cooling design in aerospace applications. This study employs a blend of experimental validation and detailed numerical simulations to investigate how rib height, amplitude, and discontinuity size collectively impact heat transfer enhancement and flow resistance in wavy ribs. By integrating TSP temperature field measurements with SST k-ω numerical calculations across 8 rib heights, 7 amplitudes, and 9 discontinuities at Reynolds numbers ranging from 10000 to 40000, the research reveals intricate relationships between these parameters. Studies have shown that there is a strong interaction between amplitude and rib height, as well as amplitude and discontinuity. Under small amplitude, Nu/Nu0 increases monotonously with the increase of rib height, but increases first and then decreases under large amplitude. When the discontinuity is small, the dimensionless Nusselt number (Nu/Nu0) of the ribbed wall increases first and then decreases with the increase of rib height, while it increases monotonously when the discontinuity is large. In contrast, the interaction between amplitude and discontinuity is weak. The ribbed wall with the greatest heat transfer improvement has Nu/Nu0 nearly 80 % higher than the reference wavy rib scheme, but it also has the highest corresponding pressure loss. The best overall thermal performance is 20 % higher than the reference structure, and the ribbed wall Nu/Nu0 is also increased by 24 %. The change of Reynolds number at the inlet of the channel has little effect on the wall Nu/Nu0 and pressure loss of the wavy rib channel.