A general form of the suspension bridge catenary

Concentration polarization and metal dendrite initiation in isolated electrolyte microchannels

“…As revealed by the X-ray computer tomography (CT) image of the pulled glass capillary in Fig. 1a, the inner diameter (r) versus the axial position (x) can be fitted by a catenary curve, 40 of the inner diameter, from ~ 180 μm (edge) to ~ 90 μm (center), are clearly visible (Fig. 1c).…”

Wicking of liquids into sagged fabrics

“…Following the analysis of Bernoulli 12 and Freeman 20 (see Appendix S3 †), we concluded that the shape of a partially wet sample can be described as a combination of two catenaries continuously merging at the wetting front.…”

Bernoulli catenary and elasto-capillary effect in partially wet fibrous materials

“…The last situation can be achieved in experiments, where a freely suspended sample absorbs liquid from one end. For such situation, following the analysis of Bernoulli 19 and Freeman, 23 and integrating the second expression of Equation (3), 17 one can show that the sample profile can be defined using a combination of catenary equations describing dry and wet parts of the sample (Figure 1(b), inset):…”

“…The shape of the freely sagged sample contains valuable information about forces F AE acting along the sample profile (Equation ( 4)). According to momentum balance 23 these forces are tangential to the sample profile and their magnitudes are proportional to the vertical coordinate y AE of the cross-section in question (Equation ( 4)). The coefficient of proportionality depends on the linear density of the sample AE , and the total tensile force at each cross-section consists of two components, F AE y , F AE x .…”