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Conformance testing amounts to verifying adequacy between the behaviors and the specified behaviors of an implementation. In this paper, we handle model-based conformance testing for data-flow critical systems with time constraints. Specifications are described with a formal model adapted for such systems and called Variable Driven Timed Automata (VDTA). VDTA are inspired by timed automata but they use input/output communication variables, allowing clear and short specifications. We present a conformance relation for this model and we propose a symbolic test selection algorithm based on a test purpose. The selection algorithm computes the variations on inputs allowing to reach an expected state of the implementation. Then we propose an on-line testing algorithm.