Abstract
The fully developed laminar flow within a reentrant groove has been analyzed using a finite element model. A parametric analysis was carried out to determine the Poiseuille number Po = fRe, the dimensionless mean velocity v ∗ , and the dimensionless volumetric flow rate ˙ V ∗ as functions of the geometry of the reentrant groove (groove height 1.0 < ‐ H ∗ < 4.0, slot half-width 0.05 < W ∗ /2 < 0.9, and fillet radius 0.0 < R ∗ < ‐ 1.0), and the liquid‐vapor shear stress (0.0 < −τ ∗ lv < 2.5). The case in which the meniscus recedes into the reentrant groove was examined and could be a result of evaporator dryout or insufficient liquid fill amount. The cross-sectional area of the liquid in the groove, A ∗ , the meniscus radius R ∗, and the aforementioned flow variables were calculated as functions of the meniscus contact angle (0 < ‐ φ < ‐ 40 deg) and the meniscus attachment point (0.0 < H∗ l < ‐ 2.75). Finally, the results of the numerical model were used to determine the capillary limit of a low-temperature heat pipe with two different working fluids, water and ethanol, for a range of meniscus contact angles.
Published Version
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