Equipment for thermal therapy of patients is disclosed. The equipment includes a flexible heat exchange structure having fluid conducting channels formed between two layers of flexible material, with improved liquid manifolds at the ends of the channels for resisting pinching, crimping or buckling in the manifolds on pressurization and when the heat exchange structure is subjected to flexure as when worn on the human body. The manifolds are configured so that pressurization shrinkage at the manifold is balanced with pressurization shrinkage laterally among the fluid conducting channels. In a preferred embodiment, the fluid conducting channels themselves are configured in a zig-zag pattern which is effective to resist buckling or pinching of the channels when the heat exchange structure is subjected to bending. In a further embodiment the flexible heat exchange structure includes a third layer of material to form a pressurized air envelope, for heat/cold and pressure theraby.