Abstract We derive a fully analytic benchmark for thermally fully developed H1 heat transfer with slip in an equilateral triangular duct. The result complements the semi-analytic benchmark data reported by Wang, 2013, “Benchmark Solutions for Slip Flow and H1 Heat Transfer in Rectangular and Equilateral Triangular Ducts”, ASME J. Heat Transfer 135(2), p. 021703. For the classical no temperature-jump limit γ =0, the temperature field is obtained via an eigenfunction expansion built from three-fold symmetric Dirichlet modes. The associated energy integral is evaluated in closed form, leading to an explicit Nusselt-number formula. Representative values are tabulated and provide a convenient reference for numerical verification.
Silva et al. (Fri,) studied this question.