Recently, IoT adoption has increased in several domains. IoT devices are multi-modal and heterogeneous due to their varied properties, standards, and manufactures. This leads to interoperability issues, which can be solved using semantic technologies. Likewise, these devices participate in numerous cross-organizational business processes (BPs). Being resource-constrained, they must be managed in an energy-aware manner to avoid BP failures. However, due to lack of a common ontology and formalization of energy-related concepts impedes their optimal management in BPs. To bridge this gap, the authors capitalize on existing semantic models such as FIESTA-IoT and IoT-BPO. They propose the following: (i) formalization of IoT concepts in BPs related to energy, their properties and constraints, and (ii) resolving resource conflicts based on strategies. The feasibility of this framework is illustrated by evaluating the semantic model for its coverage of concepts from IoT-A reference model, along with proof of concept tools that allows ontology-based support for process modeling.