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Full-Text Articles in Physical Sciences and Mathematics

Empirical Roughness Coefficients For Moderate Floods In An Open Conduit Cave: Fullers Stream Canyon, Culverson Creek Cave System, West Virginia, Lydia T. Albright, Gregory S. Springer Aug 2022

Empirical Roughness Coefficients For Moderate Floods In An Open Conduit Cave: Fullers Stream Canyon, Culverson Creek Cave System, West Virginia, Lydia T. Albright, Gregory S. Springer

International Journal of Speleology

Open conduit modeling of cave stream floods can yield useful information about water velocities and shear stresses, which can in turn be used to estimate sediment transport capabilities. All such calculations require roughness coefficients for estimating energy losses and a priori knowledge of either discharge or flow depths to set model boundary conditions. However, the difficulties associated with observing in-cave floods generally preclude measuring discharge; roughness coefficients must be assumed based on channel properties. To overcome these challenges, we monitored stream flow depths in Fullers Cave, Greenbrier County, West Virginia using pressure transducers, and simultaneously measured stage and discharge in …


Flow Dynamics In A Vadose Shaft – A Case Study From The Hochschwab Karst Massif (Northern Calcareous Alps, Austria), Eva Kaminsky, Lukas Plan, Thomas Wagner, Barbara Funk, Pauline Oberender Apr 2021

Flow Dynamics In A Vadose Shaft – A Case Study From The Hochschwab Karst Massif (Northern Calcareous Alps, Austria), Eva Kaminsky, Lukas Plan, Thomas Wagner, Barbara Funk, Pauline Oberender

International Journal of Speleology

Karst aquifers are highly vulnerable to contamination due to quick water flow through conduits. Their high heterogeneity and the poorly known infiltration effect of the vadose zone make quantification of recharge processes difficult. This study characterizes the water flow and storage in the upper vadose zone with almost four years monitoring of a permanent stream in a vadose shaft (Furtowischacht). Its small catchment of 4,500 m² is located in a former glaciated high Alpine environment (Hochschwab, Austria). High discharge fluctuations between 0.002 and 19 l/s, relatively high hydrograph recession coefficients, and transit velocities between 0.0015 and 2.4 m/s estimated with …


Calculus, Biology And Medicine: A Case Study In Quantitative Literacy For Science Students, Kim Rheinlander, Dorothy Wallace Jan 2011

Calculus, Biology And Medicine: A Case Study In Quantitative Literacy For Science Students, Kim Rheinlander, Dorothy Wallace

Numeracy

This paper describes a course designed to enhance the numeracy of biology and pre-medical students. The course introduces students with the background of one semester of calculus to systems of nonlinear ordinary differential equations as they appear in the mathematical biology literature. Evaluation of the course showed increased enjoyment and confidence in doing mathematics, and an increased appreciation of the utility of mathematics to science. Students who complete this course are better able to read the research literature in mathematical biology and carry out research problems of their own.