{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T04:27:52Z","timestamp":1742358472491,"version":"3.40.1"},"posted":{"date-parts":[[2025,3,18]]},"group-title":"oral","reference-count":0,"publisher":"Copernicus GmbH","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>We employ data about a dry granular flow down a 19&amp;#186; smooth-walled chute, partially obstructed at the downstream end, to verify the solution of a shallow-water continuum model. The system of conservation equations is based on depth-averaging the ensemble-averaged mass, momentum and fluctuating kinetic energy equations:(1)&amp;#160; $\\partial_t \\left(\\phi h \\right) + \\partial_x \\left(\\phi h u \\right) = - \\partial_t z_b$(2)&amp;#160; $\\partial_t \\left( \\rho h u \\right) + \\partial_{x} \\left( \\rho h u^2 \\right)&amp;#160; = -\\partial_{x} \\left( \\rho g h^2 \/ 2 \\right) - g \\rho h \\, \\partial_{x} z_b&amp;#160; - \\tau_b$(3) $\\partial_{t} z_b = - \\left( E(x,t) - D(x,t) \\right)$(4) $P = f(\\phi) f(e,k,\\phi_c) \\rho_g T$(5) $-Q^\\prime + \\frac{1}{2}\\tau_b u\/h - \\Gamma = 0$where $x$ is the distance, $t$ is time, the conservative variables are the elevation of the granular bed, $z_b$, the equivalent depth of flowing granular material $\\phi h$ and flow momentum $\\rho \\phi h$, where $\\phi$ is the solid fraction, $h$ the granular depth and $u$ the depth-averaged longitudinal velocity, $\\tau_b$ is the wall stress, $E$ and $D$ are the rates of particle pick-up and deposition, respectively, $e$ is the normal coefficient of restitution, $k$ is particle stiffness, $\\phi_c$ is the critical solid fraction, $\\rho_g$ is the density of the solid particles, $\\rho = \\rho_g \\phi$, $\\Gamma$ is the rate of dissipation of fluctuating kinetic energy and $Q^\\prime$ is the flux of fluctuating kinetic energy at the bottom wall. &amp;#160;The solid fraction is determined from (4) as a function of the granular pressure $P$ (considered hydrostatic) and the granular temperature $T$.Preliminary results of simulations with borosilicate spheres (&amp;#160;g\/cm3 and coefficient of restitution ), with &amp;#160;and &amp;#160;as tuning parameters, indicate that the celerity of the jamming wavefront is well-reproduced. The jump strength and the head losses are not in full agreement, requiring adjustments in the equation of state (4).&amp;#160;AcknowledgementsPortuguese Foundation for Science and Technology (FCT) through the PhD scholarship PD\/BD\/150693\/2020, project PTDC\/ECI- EGC\/7739\/2020 and CERIS funding UIDB\/04625\/2020.<\/jats:p>","DOI":"10.5194\/egusphere-egu25-13548","type":"posted-content","created":{"date-parts":[[2025,3,15]],"date-time":"2025-03-15T01:45:01Z","timestamp":1742003101000},"source":"Crossref","is-referenced-by-count":0,"title":["Shallow-water continuum modelling of dry granular flows in partailly obstructed chutes&amp;#160;"],"prefix":"10.5194","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2941-0743","authenticated-orcid":false,"given":"Rui Miguel","family":"Ferreira","sequence":"first","affiliation":[]},{"given":"Solange","family":"Mendes","sequence":"additional","affiliation":[]}],"member":"3145","container-title":[],"original-title":[],"deposited":{"date-parts":[[2025,3,18]],"date-time":"2025-03-18T13:25:43Z","timestamp":1742304343000},"score":1,"resource":{"primary":{"URL":"https:\/\/meetingorganizer.copernicus.org\/EGU25\/EGU25-13548.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,3,18]]},"references-count":0,"URL":"https:\/\/doi.org\/10.5194\/egusphere-egu25-13548","relation":{},"subject":[],"published":{"date-parts":[[2025,3,18]]},"subtype":"other"}}