With the increasing deployment of complex deep learning models on edge devices, addressing the high inference latency caused by their inherent computational bottlenecks is paramount for enabling real-telligent applications. To mitigate the resulting high inference latency, we propose EdgeInferFlow, a novel framework designed to accelerate the distributed inference of chain-structured models across edge-device clusters. The framework is predicated on a two-level optimization methodology: model partitioning and distributed inference orchestration. At the partitioning level, EdgeInferFlow employs a dynamic load-balancing algorithm to mitigate computational load imbalance among partitioned sub-models. This algorithm is integrated with a distributed computation scheme for linear layers and a multi-stage strategy to minimize inter-node data dependencies and communication overhead. At the inference level, EdgeInferFlow constructs a distributed computational graph to orchestrate the data flow and parallel execution of tensors throughout the cluster. Experimental results demonstrate that our proposed method achieves a reduction in end-to-end inference latency of up to 70