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The Evolution Of Ai On The Commercial Flight Deck: Finding Balance Between Efficiency And Safety While Maintaining The Integrity Of Operator Trust, Mark Miller, Sam Holley, Leila Halawi Jan 2023

The Evolution Of Ai On The Commercial Flight Deck: Finding Balance Between Efficiency And Safety While Maintaining The Integrity Of Operator Trust, Mark Miller, Sam Holley, Leila Halawi

Publications

As artificial intelligence (AI) seeks to improve modern society, the commercial aviation industry offers a significant opportunity. Although many parts of commercial aviation including maintenance, the ramp, and air traffic control show promise to integrate AI, the highly computerized digital flight deck (DFD) could be challenging. The researchers seek to understand what role AI could provide going forward by assessing AI evolution on the commercial flight deck over the past 50 years. A modified SHELL diagram is used to complete a Human Factors (HF) analysis of the early use for AI on the commercial flight deck through introduction of the …


Chesapeake Bay Watershed Residents’ And Farmers’ Views On Water Quality, Edem Avemegah, Jessica D. Ulrich-Schad Jan 2023

Chesapeake Bay Watershed Residents’ And Farmers’ Views On Water Quality, Edem Avemegah, Jessica D. Ulrich-Schad

Publications

Poor water quality is an issue in the Chesapeake Bay Watershed (CBW). In this rapidly urbanizing landscape, both farmers and non-farm residents contribute to nutrient pollution of rivers and streams. Understanding these important stakeholders’ views of water quality problems and how to address them is essential for creating an economically thriving and environmentally beneficial agricultural system that all residents depend upon. To understand stakeholder views on water quality both locally and regionally, researchers from Utah State University and the Pennsylvania State University surveyed residents of the CBW and agricultural producers of the southern part of the CBW (Maryland, Delaware, and …


Red Wolf Multispecies Justice Publication 2023, Eskar, Elizabeth Bennett, Finley Schad, Alex Baldwin, Oluwaseyifunmi Adejugbe, Mufti Nadimul Quamar Ahmed, Maisie Schad, Sadie Braddock, Azra Soyer, Melih Soyer, Anne-Laure Blanche, Zubair Barkat, Amol K, Sarah Ann Woodbury, Kirsten Vinyeta Jan 2023

Red Wolf Multispecies Justice Publication 2023, Eskar, Elizabeth Bennett, Finley Schad, Alex Baldwin, Oluwaseyifunmi Adejugbe, Mufti Nadimul Quamar Ahmed, Maisie Schad, Sadie Braddock, Azra Soyer, Melih Soyer, Anne-Laure Blanche, Zubair Barkat, Amol K, Sarah Ann Woodbury, Kirsten Vinyeta

Publications

Our understanding of multispecies justice is still solidifying. In spring 2023, a group of Utah State University undergraduate and graduate students attended a course by Dr.Kirsten Vinyeta on Multispecies Justice and Indigenous Approaches to the Environment. Throughout this course, we studied the works of scholars and writers from a variety of social locations and identities who challenge Western theoretical frameworks in social science.

This publication celebrates our intellectual struggle with this emerging field and opens a forum for conversations about justice for humans and additional species. This issue features various writings, reflections, and photos from students taking the Multispecies Justice …


Ancient Antimicrobials - An Inquiry-Based Look At The Social Context Behind Microbes, Akacia Halliday-Isaac, Brooke A. Whitworth Jan 2023

Ancient Antimicrobials - An Inquiry-Based Look At The Social Context Behind Microbes, Akacia Halliday-Isaac, Brooke A. Whitworth

Publications

No abstract provided.


"Sidetreks", The Commercial Appeal's Weekend Living, Issue 3, 1981? Jan 2023

"Sidetreks", The Commercial Appeal's Weekend Living, Issue 3, 1981?

Publications

Booklet, "Sidetreks: Weekend Trips From...The Commercial Appeal's Weekend Living", Issue 3, 1981?

"This third offering, like the others, is designed to provide minivacations for area residents. There are 10 new treks in this book. Each trip can make an easy three-day weekend, with most designed for a Saturday and Sunday getaway. Most call for less than a half-day's driving. The areas recommended are rich in history, scenic beauty and places to have a good time and enjoy recreation and entertainment."


Design Of An Internal Osculating Waverider Intake, Mark E. Noftz, Andrew J. Shuck, Joseph S. Jewell, Jonathan Poggie, Andrew N. Bustard, Thomas J. Juliano, Nicholas J. Bisek Jan 2023

Design Of An Internal Osculating Waverider Intake, Mark E. Noftz, Andrew J. Shuck, Joseph S. Jewell, Jonathan Poggie, Andrew N. Bustard, Thomas J. Juliano, Nicholas J. Bisek

Publications

The design of an inward-turning, high-speed, three-dimensional streamline traced intake is presented from osculating axisymmetric theory. To satisfy the osculating intake design criteria, a stitched Busemann diffuser and Internal Conical Flow-A solution is used as the basic isentropic compressive streamline. This new contour provides efficient compression, high flow uniformity, and straight leading edge shocks of equal strength. Additionally, a novel method for constructing the inlet cowl is presented. The combined process leads to a new method of high-speed intake design. A generic shape-transitioned intake is constructed and named the Indiana Inlet for the Indiana universities that contributed to the project. …


Dynamic Function Learning Through Control Of Ensemble Systems, Wei Zhang, Vignesh Narayanan, Jr-Shin Li Jan 2023

Dynamic Function Learning Through Control Of Ensemble Systems, Wei Zhang, Vignesh Narayanan, Jr-Shin Li

Publications

Learning tasks involving function approximation are preva- lent in numerous domains of science and engineering. The underlying idea is to design a learning algorithm that gener- ates a sequence of functions converging to the desired target function with arbitrary accuracy by using the available data samples. In this paper, we present a novel interpretation of iterative function learning through the lens of ensemble dy- namical systems, with an emphasis on establishing the equiv- alence between convergence of function learning algorithms and asymptotic behavior of ensemble systems. In particular, given a set of observation data in a function learning task, we …


Cooperative Deep Q -Learning Framework For Environments Providing Image Feedback, Krishnan Raghavan, Vignesh Narayanan, Sarangapani Jagannathan Jan 2023

Cooperative Deep Q -Learning Framework For Environments Providing Image Feedback, Krishnan Raghavan, Vignesh Narayanan, Sarangapani Jagannathan

Publications

In this article, we address two key challenges in deep reinforcement learning (DRL) setting, sample inefficiency, and slow learning, with a dual-neural network (NN)-driven learning approach. In the proposed approach, we use two deep NNs with independent initialization to robustly approximate the action-value function in the presence of image inputs. In particular, we develop a temporal difference (TD) error-driven learning (EDL) approach, where we introduce a set of linear transformations of the TD error to directly update the parameters of each layer in the deep NN. We demonstrate theoretically that the cost minimized by the EDL regime is an approximation …


Moment-Based Reinforcement Learning For Ensemble Control, Yao-Chi Yu, Vignesh Narayanan, Jr-Shin Li Jan 2023

Moment-Based Reinforcement Learning For Ensemble Control, Yao-Chi Yu, Vignesh Narayanan, Jr-Shin Li

Publications

Problems involving controlling the collective behavior of a population of structurally similar dynamical systems, the so-called ensemble control, arise in diverse emerging applications and pose a grand challenge in systems science and control engineering. Owing to the severely under-actuated nature and the difficulty of placing large-scale sensor networks, ensemble systems are limited to being actuated and monitored at the population level. Moreover, mathematical models describing the dynamics of ensemble systems are often elusive. Therefore, it is essential to design broadcast controls that excite the entire population in such a way that the heterogeneity in system dynamics are robustly compensated. In …


Math And Coding Connections In Elementary, L. E. Welch Bond, K. Beck, M. Basham, J. Kozlowski, J. F. Shumway Jan 2023

Math And Coding Connections In Elementary, L. E. Welch Bond, K. Beck, M. Basham, J. Kozlowski, J. F. Shumway

Publications

In this session, participants learn ways to use coding tools in elementary classrooms to provide engaging and motivating contexts for students to develop and use mathematical and computational reasoning. Integrating technology to support mathematics learning in meaningful ways is often challenging, and discussions in this session will emphasize the synergies among technology, coding, and mathematics for supporting skills with coding tools.


Co-Designing Elementary-Level Computer Science And Mathematics Lessons: An Expansive Framing Approach, Umar Shehzad, Jody Clarke-Midura, Kimberly Beck, Jessica Shumway, Mimi Recker Jan 2023

Co-Designing Elementary-Level Computer Science And Mathematics Lessons: An Expansive Framing Approach, Umar Shehzad, Jody Clarke-Midura, Kimberly Beck, Jessica Shumway, Mimi Recker

Publications

This study examines how a rural-serving school district aimed to provide elementary-level computer science (CS) by offering instruction during students’ computer lab time. As part of a research-practice partnership, cross-context mathematics and CS lessons were co-designed to expansively frame and highlight connections across – as opposed to integration within – the two subjects. Findings indicated that most students who engaged with the lessons across the lab and classroom contexts reported finding the lessons interesting, seeing connections to their mathematics classes, and understanding the programming. In contrast, a three-level logistic regression model showed that students who only learned about mathematics connections …


Hook, Line, And Sinker: How To Build Dei In Stem Focused Institutional Repositories By Putting Student Research First, Anne Marie Casey, Debra Rodensky Jan 2023

Hook, Line, And Sinker: How To Build Dei In Stem Focused Institutional Repositories By Putting Student Research First, Anne Marie Casey, Debra Rodensky

Publications

Embry-Riddle Aeronautical University (ERAU) Scholarly Commons is an institutional repository on the bepress Digital Commons platform that highlights the intellectual output of the university’s faculty, staff, and students. Established in May 2013, Scholarly Commons has grown to include faculty, student, and staff research, instructional materials, journals, magazines, conferences, and research data. By August 2022, the collections consisted of more than 34,600 works downloaded nearly 4.9 million times. An important part of this collection is the research submitted by undergraduate students, which offers a variety of diverse voices.


Assessing Arrest & Traffic Stop Patterns In Portland, Me, Jack Mcdevitt Ph.D., George Shaler Mph, Sarah Krichels Goan Mpp, Stephen Abeyta, Carlos Cuevas Phd Dec 2022

Assessing Arrest & Traffic Stop Patterns In Portland, Me, Jack Mcdevitt Ph.D., George Shaler Mph, Sarah Krichels Goan Mpp, Stephen Abeyta, Carlos Cuevas Phd

Publications

This project examined the available arrest and traffic citation data from Portland Police Department to determine if there is any evidence of disproportionate enforcement activities in the city.


Do Academic Supervisors Know What Their Employees Want From Work?, Emily Faulconer, John Griffith Dec 2022

Do Academic Supervisors Know What Their Employees Want From Work?, Emily Faulconer, John Griffith

Publications

This research has meaning to higher education learning institutions regarding faculty and staff motivation. Effectively motivating employees has captivated management theorists in search of higher morale and higher productivity. This study challenges the assumption by Hersey and Blanchard (1993) based on Lindahl’s (1949) study that supervisors do not know what their employees want from work.


Implementing Dei In Aviation Education: Coping And Addressing Mental Health Concerns, Jorge L. D. Albelo Ph.D., Michael F. O'Toole Ph.D., Samantha Bowyer Dec 2022

Implementing Dei In Aviation Education: Coping And Addressing Mental Health Concerns, Jorge L. D. Albelo Ph.D., Michael F. O'Toole Ph.D., Samantha Bowyer

Publications

In recent years, different global events have led to increased awareness of the benefits of promoting diversity, equity, and inclusion in the workplace and education. Notably, the aviation industry is seeing increased research initiatives to promote DEI among all generations. Nevertheless, given the rising concerns about mental health in higher education, this paper sought to connect coping and addressing mental health through implementing DEI teachings in aviation education. Integrating DEI in the aviation classroom can be challenging, as many faculty members might feel uncomfortable addressing the topic in their courses. Consequently, the researchers proposed and tested an aviation education approach …


Spaci: Deciphering Spatial Cellular Communications Through Adaptive Graph Model, Ziyang Tang, Tonglin Zhang, Baijian Yang Ph.D., Jing Su, Qianqian Song Dec 2022

Spaci: Deciphering Spatial Cellular Communications Through Adaptive Graph Model, Ziyang Tang, Tonglin Zhang, Baijian Yang Ph.D., Jing Su, Qianqian Song

Publications

Cell-cell communications are vital for biological signalling and play important roles in complex diseases. Recent advances in single-cell spatial transcriptomics (SCST) technologies allow examining the spatial cell communication landscapes and hold the promise for disentangling the complex ligand-receptor (L-R) interactions across cells. However, due to frequent dropout events and noisy signals in SCST data, it is challenging and lack of effective and tailored methods to accurately infer cellular communications. Herein, to decipher the cell-to-cell communications from SCST profiles, we propose a novel adaptive graph model with attention mechanisms named spaCI. spaCI incorporates both spatial locations and gene expression profiles of …


Two Substellar Survivor Candidates; One Found And One Missing, T. Von Hippel, N. Walters, J. Farihi, T.R. Marsh, E. Breedt, P.W. Cauley, J.J. Hermes Dec 2022

Two Substellar Survivor Candidates; One Found And One Missing, T. Von Hippel, N. Walters, J. Farihi, T.R. Marsh, E. Breedt, P.W. Cauley, J.J. Hermes

Publications

This study presents observations of two possible substellar survivors of post-main sequence engulfment, currently orbiting white dwarf stars. Infrared and optical spectroscopy of GD 1400 reveal a 9.98 h orbital period, where the benchmark brown dwarf has ��2 = 68 ± 8 MJup, ��eff ≈ 2100 K, and a cooling age under 1 Gyr. A substellar mass in the lower range of allowed values is favoured by the gravitational redshift of the primary. Synthetic brown dwarf spectra are able to reproduce the observed CO bands, but lines below the bandhead are notably overpredicted. The known infrared excess towards PG 0010+281 …


One-Parameter Darboux-Deformed Fibonacci Numbers, Stefani C. Mancas, H. C. Rosu Dec 2022

One-Parameter Darboux-Deformed Fibonacci Numbers, Stefani C. Mancas, H. C. Rosu

Publications

One-parameter Darboux deformations are effected for the simple ODE satisfied by the continuous generalizations of the Fibonacci sequence recently discussed by Faraoni and Atieh [Symmetry 13, 200 (2021)], who promoted a formal analogy with the Friedmann equation in the FLRW homogeneous cosmology. The method allows the introduction of deformations of the continuous Fibonacci sequences, hence of Darboux-deformed Fibonacci (non integer) numbers. Considering the same ODE as a parametric oscillator equation, the Ermakov-Lewis invariants for these sequences are also discussed.


On A Guiding Of Whistler-Mode Waves By Density Gradients, Anatoly V. Streltsov Dec 2022

On A Guiding Of Whistler-Mode Waves By Density Gradients, Anatoly V. Streltsov

Publications

Observations from satellites demonstrate that in the magnetosphere, VLF whistler-mode waves are frequently detected in the narrow transition regions, where the plasma density changes its magnitude over a short distance across the ambient magnetic field. These observations suggest that the small-scale, isolated density gradients can guide the VLF whistler-mode waves along the field. We investigate the guiding of the whistler-mode waves by the transverse density gradients with a size much less than the characteristic perpendicular size of the wave. We found analytical solutions describing these waves in the plasma with a sharp density discontinuity between two homogeneous regions, and confirm …


Mental Health Needs Among Minority Aviation Students, Jorge L. D. Albelo Ph.D., Stacey Mcintire Dec 2022

Mental Health Needs Among Minority Aviation Students, Jorge L. D. Albelo Ph.D., Stacey Mcintire

Publications

Higher education, including science, technology, engineering, and mathematics (STEM) education, benefit our society and economic growth. However, overcoming gender disparity and increasing the retention of underrepresented minorities within these programs is challenging. Mental health across higher education has shown to be on the rise, and when it comes to the mental health needs of aviation students, research shows that underrepresented minorities experience unique challenges in achieving academic success. This paper focused on identifying aviation minority students' unique challenges in a small STEM university. This mixed-methods action research study collected quantitative data using an adapted version of the Counseling Center Assessment …


Wavenumbers 3 And 4 Quasi 2-Day Wave Activities Observed By Multiple Meteor Radars In The Two Hemispheres During Austral Summer, Hao Cheng, Kai Ming Huang, Alan Z. Liu, Shao Dong Zhang, Chun Ming Huang, Yun Gong Dec 2022

Wavenumbers 3 And 4 Quasi 2-Day Wave Activities Observed By Multiple Meteor Radars In The Two Hemispheres During Austral Summer, Hao Cheng, Kai Ming Huang, Alan Z. Liu, Shao Dong Zhang, Chun Ming Huang, Yun Gong

Publications

Combining observations from three meteor radars in the Northern Hemisphere (NH) and a meteor radar in the Southern Hemisphere (SH) and reanalysis data, we present successive wavenumbers 3 and 4 (W3 and W4) quasi 2 day wave activities in austral summer. In the mesosphere and lower thermosphere, the wave exhibits two burst activities. The W3 dominates the first burst, while the W4 is the predominate mode in the second burst. The mode transition arises in the late January and is completed around the end of January. The W3 and W4 have the nearly same dominate period of about 46 hr …


Coupling Evidence From Lower Atmosphere To Mesosphere And Ionosphere Through Quasi 27-Day Oscillation, Alan Z. Liu, Kaiming Huang, Hao Cheng, Shaodong Zhang, Chunming Huang, Yun Gong, Gang Chen Nov 2022

Coupling Evidence From Lower Atmosphere To Mesosphere And Ionosphere Through Quasi 27-Day Oscillation, Alan Z. Liu, Kaiming Huang, Hao Cheng, Shaodong Zhang, Chunming Huang, Yun Gong, Gang Chen

Publications

Using meteor radar, radiosonde and digisonde observations and MERRA-2 reanalysis data from 12 August to 31 October 2006, we report a dynamical coupling from the tropical lower atmosphere to the mesosphere and ionospheric F2 region through a quasi 27-day intraseasonal oscillation (ISO). It is interesting that the quasi 27-day ISO is active in the troposphere and stratopause and mesopause regions, exhibiting a three-layer structure. In the mesosphere and lower thermosphere (MLT), the amplitude in the zonal wind increases from about 4 ms at 90 km to 15 ms at 100 km, which is different from previous observations that ISOs generally …


Climatology Of High-Frequency Gravity Waves Observed By An Airglow Imager At Andes Lidar Observatory, Alan Z. Liu, Bing Cao Nov 2022

Climatology Of High-Frequency Gravity Waves Observed By An Airglow Imager At Andes Lidar Observatory, Alan Z. Liu, Bing Cao

Publications

The long-term climatology of high-frequency quasi-monochromatic gravity waves is presented using multi-year airglow images observed at Andes Lidar Observatory (ALO, 30.3ºS, 70.7ºW) in northern Chile. A large number of high-frequency gravity waves were retrieved from OH airglow images. The distribution of primary wave parameters including horizontal wavelength, vertical wavelength, intrinsic wave speed, and intrinsic wave period are obtained and are in the ranges of 20–30 km, 15–25 km, 50–100 ms-1, and 5–10 min, respectively. The waves tend to propagate against the local background winds and show clear seasonal variations. In austral winter (Ma–Aug), the observed wave occurrence frequency is higher …


The Dynamics Of Tsunamigenic Acoustic-Gravity Waves And Bathymetry Effect, Pavel Alexandrovich Inchin, Christopher James Heale, Jonathan Brian Snively, Matthew David Zettergren Nov 2022

The Dynamics Of Tsunamigenic Acoustic-Gravity Waves And Bathymetry Effect, Pavel Alexandrovich Inchin, Christopher James Heale, Jonathan Brian Snively, Matthew David Zettergren

Publications

The investigation of atmospheric tsunamigenic acoustic and gravity wave (TAGW) dynamics, from the ocean surface to the thermosphere, is performed through the numerical computations of the 3D compressible nonlinear Navier-Stokes equations. Tsunami propagation is first simulated using a nonlinear shallow water model, which incorporates instantaneous or temporal evolutions of initial tsunami distributions (ITD). Surface dynamics are then imposed as a boundary condition to excite TAGWs into the atmosphere from the ground level. We perform a case study of a large tsunami associated with the 2011 M9.1 Tohuku-Oki earthquake, and parametric studies with simplified and demonstrative bathymetry and ITD. Our results …


Characteristics Of Kelvin-Helmholtz Waves As Observed By The Mms From September 2015 To June 2017, Katariina Nykyri, Xuanye Ma, Rachel C. Rice Nov 2022

Characteristics Of Kelvin-Helmholtz Waves As Observed By The Mms From September 2015 To June 2017, Katariina Nykyri, Xuanye Ma, Rachel C. Rice

Publications

The Magnetospheric Multiscale (MMS) mission has presented a new opportunity to study the fine scale structures and phenomena of Earth’s magnetosphere, including cross scale processes associated with the Kelvin-Helmholtz Instability (KHI). We present an overview of 19 MMS observations of the KHI from September 2015 to June 2017. Unitless growth rates and unstable solid angles for each of the 19 events were calculated using 5 techniques to automatically detect plasma regions on either side of the magnetopause boundary. There was no apparent correlation between solar wind conditions during the KHI and its growth rate and unstable solid angle, though we …


Response Of Planetary Waves And Tides To The 2019 Southern Hemisphere Ssw And Q2dw Enhancement In Jan-Feb 2020 Observed By Condor Meteor Radar In Chile And Adelaide Meteor Radar In Australia, Alan Liu, Zishun Qiao, Iain Reid, Javier Fuentes, Chris Adami Nov 2022

Response Of Planetary Waves And Tides To The 2019 Southern Hemisphere Ssw And Q2dw Enhancement In Jan-Feb 2020 Observed By Condor Meteor Radar In Chile And Adelaide Meteor Radar In Australia, Alan Liu, Zishun Qiao, Iain Reid, Javier Fuentes, Chris Adami

Publications

A new multi-static meteor radar (CONDOR) has recently been installed in northern Chile. This CONDOR meteor radar (30.3°S, 70.7°W) and the Adelaide meteor radar (35°S, 138°E) have provided longitudinally spaced observations of the mean winds, tides and planetary waves of the PW-tides interaction cases we present here. We have observed a Quasi-6-Day Wave (Q6DW) enhancement in MLT winds at the middle latitudes (30.3°S, 35°S) during the unusual minor South Hemisphere SSW 2019 by the ground-based meteor radars. Tidal analysis also indicates modulation of the Q6DW w/ amplitude ~15 [m/s] and diurnal tides w/ amplitude ~60 [m/s]. Another case we present …


Cognitive Load In Asynchronous Discussions Of An Online Undergraduate Stem Course, Emily K. Faulconer, Beverly Wood, Charlotte Bolch Nov 2022

Cognitive Load In Asynchronous Discussions Of An Online Undergraduate Stem Course, Emily K. Faulconer, Beverly Wood, Charlotte Bolch

Publications

Purpose – As online course enrollments increase; it is important to understand how common course features influence students’ behaviors and performance. Asynchronous online courses often include a discussion forum to promote community through interaction between students and instructors. Students interact both socially and cognitively; instructors’ engagement often demonstrates social or teaching presence. Students’ engagement in the discussions introduces both intrinsic and extraneous cognitive load. The purpose of this study is to validate an instrument for measuring cognitive load in asynchronous online discussions. Design/methodology/approach – This study presents the validation of the NASA-TLX instrument for measuring cognitive load in asynchronous online …


Cognitive Load In Asynchronous Discussions Of An Online Undergraduate Stem Course, Emily Faulconer, Beverly Wood, Charlotte Bolch Nov 2022

Cognitive Load In Asynchronous Discussions Of An Online Undergraduate Stem Course, Emily Faulconer, Beverly Wood, Charlotte Bolch

Publications

Purpose

As online course enrollments increase, it is important to understand how common course features influence students' behaviors and performance. Asynchronous online courses often include a discussion forum to promote community through interaction between students and instructors. Students interact both socially and cognitively; instructors' engagement often demonstrates social or teaching presence. Students' engagement in the discussions introduces both intrinsic and extraneous cognitive load. The purpose of this study is to validate an instrument for measuring cognitive load in asynchronous online discussions.


Hydrodynamics, Andrei Ludu Nov 2022

Hydrodynamics, Andrei Ludu

Publications

The mathematical description of the states of a fluid is based on the study of three fields defined on the domain occupied by the fluid: the velocity field V, the density ρ, and the pressure field P. These three “unknowns” are determined by integrating other five scalar equations, namely the mass conservation (continuity equation), the three components of the equation of momentum balance (Euler or Navier–Stokes), and the energy balance. This last equation needs in addition information about the thermodynamics of the fluid, so it may need to be supplied with some equation of state. In addition to these five …


Kinematics Of Fluids, Andrei Ludu Nov 2022

Kinematics Of Fluids, Andrei Ludu

Publications

The goal of this chapter is to discuss the general frame of hydrodynamics, like particle trajectories (path lines), streamlines, streak lines, free surfaces, and fluid surfaces, and to compare their behavior in the Eulerian and Lagrangian frames. The following sections and chapters proceed on the assumption that the fluid is practically continuous and homogeneous in structure. Of course, the concept of continuum is an abstraction that does not take into account the molecular and nuclear structure of matter. In that, we assume that the properties of the fluid do not change if we consider smaller and smaller amounts of matter …