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Accelerating Search And Rescue Response: A Simulation Study On The Dynamic Efficiency Of Flocking-Enabled Drone Swarms, Sophia Beckwith, Carys Del Prete Aug 2026

Accelerating Search And Rescue Response: A Simulation Study On The Dynamic Efficiency Of Flocking-Enabled Drone Swarms, Sophia Beckwith, Carys Del Prete

Discovery Day - Daytona Beach

This project explores how imitations observed in animal group behavior, specifically flocking in birds, can be applied to the functionality of autonomous drone systems to aid in search and rescue efforts. The goal is to demonstrate how incorporating code based on the Boids, Vicsck and predictive control linear algebraic mathematical models for drone flight controls and the collective behaviors of flocks will increase the efficiency of drone maneuvers, allowing them to reorganize and fill gaps when one is removed. A MATLAB-based simulation was developed to model the behaviors using research conducted on the symmetric and synchronized behaviors observed from flocks …

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Greenwall Use For Air Repair And Depollution (G.U.A.R.D.), Sophia Elwood, Sophia Piro, Maura Barrada, Kathrine Lopez, Wendi Goffer Aug 2026

Greenwall Use For Air Repair And Depollution (G.U.A.R.D.), Sophia Elwood, Sophia Piro, Maura Barrada, Kathrine Lopez, Wendi Goffer

Discovery Day - Daytona Beach

Creating habitable indoor environments for long-duration space missions and extraterrestrial habitats requires reliable, sustainable air quality improvement. Embry-Riddle Aeronautical University’s ACE Lab provides a unique opportunity to investigate plant-based purification in a controlled environment while addressing campus air quality concerns linked to a high-traffic airport and exposure to jet fuel particulate matter and volatile organic compounds (VOCs). This collaborative project between Mechanical and Aerospace Engineering researchers and the Botanical Society evaluates whether a green wall can improve indoor air quality as a scalable model for future closed-loop habitats. In the study's first phase, student researchers documented ACE Lab dimensions to …

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A Feedback Loop Control To Automate Cold Atmospheric Pressure Plasma Based Additive Manufacturing, Arineh Shahbazi Aug 2026

A Feedback Loop Control To Automate Cold Atmospheric Pressure Plasma Based Additive Manufacturing, Arineh Shahbazi

Discovery Day - Daytona Beach

Currently, nanoparticle annealing based additive manufacturing process requires high temperatures, making them unsuitable for a broad range of applications. By lowering the temperature and developing a process to use Cold Atmospheric Pressure Plasma (CAPP) for annealing, many more doors are opened to a wide range of materials, films, and environments for space, communication, and microelectronics. CAPP-based additive manufacturing technology is continually evolving, making projects like nanoparticle annealing more feasible. In this work, we designed a CAPP jet printer assembly consisting of a 0.25-inch outer diameter glass tube connected to a 3D printing nozzle. The flow of Argon gas in the …

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Interplay Between Physical Design Choices And Emergent Cyber System Consensus: A Case Study With An Underwater Swarm, Ava Neubert Aug 2026

Interplay Between Physical Design Choices And Emergent Cyber System Consensus: A Case Study With An Underwater Swarm, Ava Neubert

Discovery Day - Daytona Beach

Understanding how physical constraints influence collective behavior is critical for designing cyber-physical multi-agent systems in communication-limited environments. This project investigates how agent mobility and communication constraints affect opinion dynamics in a three-dimensional underwater swarm. An agent-based model was developed in AnyLogic, where agents follow realistic motion dynamics and exchange information at discrete communication intervals to reflect underwater limitations. Agent opinions are modeled using a BOIDS-inspired consensus mechanism in RGB space, allowing visualization of convergence behavior. A sensitivity analysis was conducted to evaluate the effects of communication range, agent speed, turn rate, and swarm size. Results show that communication range has …

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Gene Therapy Strategies To Enhance Antifungal Immunity In Microgravity, Riley Dienna Aug 2026

Gene Therapy Strategies To Enhance Antifungal Immunity In Microgravity, Riley Dienna

Discovery Day - Daytona Beach

During spaceflight, the immune system of astronauts becomes impaired due to microgravity, resulting in increased susceptibility to infections caused by pathogens such as Candida albicans. One of the most common clinical treatments for aggressive candidiasis is amphotericin B, a polyene antimycotic that targeted ergosterol in the fungal cell membrane and compromised the stability of the membrane. However, due to the chemical similarities between ergosterol and cholesterol, this treatment also affects the somatic cells of patients it is administered to. A novel treatment is therefore required to combat the aggressive fungal infection while minimizing damage to the host’s cells. This project …

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Modeling The Effect Of Damping On Mechanical Vibrations In An Aircraft Wing, Daniel Ingleton, Ethan Burrell, Noah Evans Aug 2026

Modeling The Effect Of Damping On Mechanical Vibrations In An Aircraft Wing, Daniel Ingleton, Ethan Burrell, Noah Evans

Discovery Day - Daytona Beach

Aircraft wings experience vibrations during flight due to aerodynamic forces, turbulence, engine effects, and the flexibility of the structure itself. If these vibrations are not properly controlled, they can affect the wing’s performance, structural life, and overall aircraft safety. This research project focuses on modeling how damping reduces mechanical vibrations in an airplane wing. To make the problem manageable, the wing will be represented as a simplified cantilever beam. The project will examine how damping, stiffness, and mass influence the wing’s vibration response over time. Using mathematical equations of motion and simulation tools such as MATLAB or ANSYS, the study …

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Simulation-Based Analysis Of Aeroelastic Flutter Using A 2-Dof Mass–Spring–Damper Model, Jamie Shore, Jose Murphy, Emily Brown, Leia Vargas Ii, Carl Pellegrino Aug 2026

Simulation-Based Analysis Of Aeroelastic Flutter Using A 2-Dof Mass–Spring–Damper Model, Jamie Shore, Jose Murphy, Emily Brown, Leia Vargas Ii, Carl Pellegrino

Discovery Day - Daytona Beach

This research project focuses on utilizing a mass-spring dampening system to analyze wing flutter. Given that wing flutter is an instability caused by elastic and inertial forces, these create increasing oscillations that lead to structural failure. Our group will create a simulator developed in MATLAB to analyze data on how different variables such as angle of attack, aspect ratio and wind speed influence the flutter. The simulation will help us to determine how flutter is affected by mass, structural stiffness, and the damping coefficient on several materials. These materials include aluminum 6061, birch wood, steel 36, and tungsten. The goal …

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How Does Earning A 4-Year Degree Affect Promotion Rates Among Municipal Police Officers?, Anna Brumfield Aug 2026

How Does Earning A 4-Year Degree Affect Promotion Rates Among Municipal Police Officers?, Anna Brumfield

Discovery Day - Daytona Beach

How does earning a 4-year degree affect promotion rates among municipal police officers?   The importance of a 4-year degree for law enforcement officers has been a topic of interest in a number of studies throughout the recent decades; however, significantly less research has been conducted to understand the relationship between earning a degree and the possibility of career advancement in municipal police officers. In the past, the need for higher education in this field was considered negligible; but studies have been conducted that point to the possible value of college experience and more specifically a 4-year degree. This value has …

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Fall Hazard Prevention: A Zero-Fatality Goal For Health, Safety, And Well-Being On Construction Sites, Alena Richardson, Chaidaliz Minguela Alicea, Nicola Kaehler, Charlene Weaver Aug 2026

Fall Hazard Prevention: A Zero-Fatality Goal For Health, Safety, And Well-Being On Construction Sites, Alena Richardson, Chaidaliz Minguela Alicea, Nicola Kaehler, Charlene Weaver

Discovery Day - Daytona Beach

Jobsites face hazards like falls, which threaten the health, safety, and well-being of construction workers. Falls are the leading cause of all accidents and fatalities in construction, accounting for approximately 40% of all worker deaths in 2023. While achieving a zero-accident rate for falls is inherently challenging, prioritizing a zero-fatality objective represents a practical and impactful starting point. The Occupational Safety and Health Administration (OSHA) recommends a six-step action approach for the prevention and control of hazards like falls. Of particular interest, the State of Florida is consistently ranked among the highest for construction fall fatalities, often attributed to insufficient …

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Automation And Robotics In Timber Construction Prefabrication, Jason Grabowski, Anish Mandyam, Samuel Mcaraw, Jacob Jander Aug 2026

Automation And Robotics In Timber Construction Prefabrication, Jason Grabowski, Anish Mandyam, Samuel Mcaraw, Jacob Jander

Discovery Day - Daytona Beach

Robotics and automation have varying degrees of utilization across the construction prefabrication industry. The timber prefabrication industry is uniquely positioned for the implementation of robotics and automation due to the environment being more controlled than most of the construction industry. Current developments are influenced by the evolution of "Construction 4.0/5.0," where the integration of digital technologies and robotics is transforming timber prefabrication from traditional subtractive CNC machining into a highly precise, additive, and collaborative process. The purpose of this project is to conduct a systematic literature review of the state of-the-art and near-future developments of automation and robotics in timber …

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Climate Resilient Infrastructure: The Problem Shift, Tyler Lautieri, Isaiah Morrison, Harrison Totten Aug 2026

Climate Resilient Infrastructure: The Problem Shift, Tyler Lautieri, Isaiah Morrison, Harrison Totten

Discovery Day - Daytona Beach

Climate change is a heavily debated topic, but recent studies and data show that climate change is leading to an increase in the frequency and severity of hazards. Infrastructure systems are subjected to more compound and cascading events that lead to the degradation of the systems. More traditional infrastructure design relies on concern that the system will be subjected to single hazard issues, and the design focuses on preventing structural failure during these isolated events. These approaches often fail to account for long term degradation of the system, as well as the interacting hazards, and system interdependence, which makes resilience …

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Modeling Population Growth With Logistic And Modified Logistic Equations, Mihil Dimpal Patel Aug 2026

Modeling Population Growth With Logistic And Modified Logistic Equations, Mihil Dimpal Patel

Discovery Day - Daytona Beach

Population growth models are essential tools for understanding how biological populations change over time under environmental constraints. This study examines population dynamics by comparing the classical exponential growth model with the logistic growth model. While exponential growth assumes unlimited resources and results in unbounded population increase, the logistic model incorporates a carrying capacity that limits growth as resources become scarce. To better represent real-world conditions, the logistic model is extended by introducing modifications such as harvesting terms and time-varying carrying capacities, which account for external removal of individuals and changing environmental limits. The equilibria of these models are determined, and …

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Influence Of Infill Geometry On The Vibrational Behavior Of 3d-Printed Cantilever Beams, Owen Maute Aug 2026

Influence Of Infill Geometry On The Vibrational Behavior Of 3d-Printed Cantilever Beams, Owen Maute

Discovery Day - Daytona Beach

Vibration and damping are important considerations in many engineering structures, especially as additive manufacturing becomes more widely used in functional mechanical components. This project investigates how the internal structure of 3D-printed parts affects their vibrational behavior. A series of cantilever beams with identical outer dimensions will be designed and manufactured using a 3D printer with PLA filament, since PLA is one of the most commonly used materials in consumer and prototyping-level additive manufacturing. The study will examine five different infill patterns at three different infill densities, producing multiple beam configurations that vary only in their internal geometry. In addition to …

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Polymer Degradation And Their Environmental Impact, Addison Orr, Vanessa Gilbert Aug 2026

Polymer Degradation And Their Environmental Impact, Addison Orr, Vanessa Gilbert

Discovery Day - Daytona Beach

Synthetic polymer material usage has increased significantly within the last several decades due to their durability, resistance to mechanical wear, low density, and inexpensiveness. Despite these advantages, most synthetic polymers are not biodegradable and instead undergo slow degradation processes. The processes are multifaceted, involving physical, chemical, and biological mechanisms influenced by material properties and environmental conditions, such as soil, light, temperature, and moisture levels. As a result, the polymers break into microplastics and contaminate air, water, and soil, posing risks to human health and surrounding ecosystems. Additionally, polymer degradation can release harmful substances that disrupt food chains and can lead …

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Optimization Of Engine, Jordan Reed, Dev Shah Aug 2026

Optimization Of Engine, Jordan Reed, Dev Shah

Discovery Day - Daytona Beach

A matrix-based framework for modeling and optimizing fluid and gas in feed systems to pressurize for propulsion applications using advanced linear algebra techniques will be used in this project. The governing equations are derived from conservation of mass, momentum, and energy and are formulated in state space form. This enables the system to be expressed as a set of coupled linear differential equations. These equations are assembled into structured system matrices that show the interactions between pressure, flow rate, and component dynamics. This representation allows for numerical implementation and scalability to complex systems with multiple components. System behavior is analyzed …

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Laser-Based Optical Communications For Spacecraft Information Transfer, Ibrahim Arnous Aug 2026

Laser-Based Optical Communications For Spacecraft Information Transfer, Ibrahim Arnous

Discovery Day - Daytona Beach

This course-based, in-progress project explores optical communications as a spacecraft subsystem and examines how light-based systems can be used to transmit information in space. As modern missions demand faster and more efficient data transfer, optical communications have emerged as an important area of interest alongside traditional communication methods. The purpose of this project is to study the role of optical communication in spacecraft design, with attention to its principles, advantages, limitations, and broader relevance to future missions. Using a comparative and research-based approach, the project investigates how these systems function, what engineering challenges they introduce, and why they are becoming …

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Modeling Seiche Oscillations Using Damped Vibration Differential Equations, Bianca Gerity, Arineh Shahbazi Aug 2026

Modeling Seiche Oscillations Using Damped Vibration Differential Equations, Bianca Gerity, Arineh Shahbazi

Discovery Day - Daytona Beach

A seiche oscillation is a standing wave that oscillates in an enclosed body of water, like a lake or pool. Seiches are caused by strong winds, earthquakes, and rapid atmospheric changes. Seiches are an excellent real-world example of damped harmonic motion. The physics of these unique vibrations can actually be modeled using a second-order differential equation for damped oscillators of the general form mx''+cx'+kx=0, where m represents the mass of the vibrating water column, c represents the energy dissipation due to friction and viscosity, and k represents the force governed by gravity and the basin's geometry. The objective of this …

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Modeling Seiche Oscillations Using Damped Vibration Differential Equations, Sharjeel Malik, Justin Della Aug 2026

Modeling Seiche Oscillations Using Damped Vibration Differential Equations, Sharjeel Malik, Justin Della

Discovery Day - Daytona Beach

Combustion instability in liquid rocket engines is driven by coupling acoustic pressure oscillations and unsteady heat release. To achieve specific desired outcomes, small perturbations can be made to either decay or grow, depending on system dynamics and artificial parameters. Using a linearized eigenvalue framework, where eigenvalues determine growth/decay rates and frequencies, and eigenvectors describe spatial mode shapes and couplings between pressure, velocity, and heat release, a mathematical model can be derived to describe said behavior for a cross-section of the rocket engine. The Rayleigh criterion is used to identify conditions under which energy is added to oscillations, while flame transfer …

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Production And Analysis Of Lavender Essential Oil: Extraction, Composition, And Applications, Mary Zoeller Aug 2026

Production And Analysis Of Lavender Essential Oil: Extraction, Composition, And Applications, Mary Zoeller

Discovery Day - Daytona Beach

Steam distillation was performed to extract essential oil from lavender and analyze its chemical composition. Lavender is known to contain several compounds such as linalool, terpinen-4-ol, and linalyl acetate, which contribute to its characteristic aroma and biological activity. The purpose of this experiment was to isolate these compounds without decomposition and identify them using gas chromatography–mass spectrometry (GC-MS). Approximately 14.851 g of lavender was heated with water to generate steam, which carried the volatile compounds into a condenser where the vapor was cooled and collected. The distillate was transferred to a separatory funnel to isolate the organic layer from the …

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Navier Stokes Pressure Drop Derivation, Brayden Benedetti, Gedaliah Dimbert, Jaden Turobiner Aug 2026

Navier Stokes Pressure Drop Derivation, Brayden Benedetti, Gedaliah Dimbert, Jaden Turobiner

Discovery Day - Daytona Beach

Accurate prediction of pressure losses in propellant and fluid feed systems is essential for reliable design and operation of aerospace and industrial flow networks. This project presents a systematic derivation of a practical pressure drop calculator for a feed system using isopropyl alcohol, beginning from the fundamental conservation laws and culminating in an engineering-level computational model. Starting with the differential form of the Navier–Stokes equations for incompressible flow, the governing equations are simplified through a series of physically justified assumptions, including steady-state flow, negligible body forces, and fully developed internal flow within circular piping. The resulting momentum balance is reduced …

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Bridging Discrete And Continuous Systems: Fibonacci Sequences And Exponential Growth From Odes, Martyna Wojcik Aug 2026

Bridging Discrete And Continuous Systems: Fibonacci Sequences And Exponential Growth From Odes, Martyna Wojcik

Discovery Day - Daytona Beach

Bridging Discrete and Continuous Systems: Fibonacci Sequences and Exponential Growth from Ordinary Differential Equations       It has been observed that nature often exhibits specific patterns of growth and structure in biological systems and spiral formations. The Fibonacci sequence, defined as a discrete recursive sequence where each term is generated as the sum of the two preceding terms, “has been applied extensively to understand some natural phenomena” (Pakdemirli, 2023). In contrast, exponential growth describes a continuous process in which the rate of change of a quantity is proportional to its current value. Such behavior is modeled using differential equations that “produce solutions …

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Using H2ax As A Biological Indicator To Assess Radiation-Induced Bone Loss In Microgravity Environments, Angeline Nichols, Enoch Tonkin, Ana Lobaton, Jahzara Hope Aug 2026

Using H2ax As A Biological Indicator To Assess Radiation-Induced Bone Loss In Microgravity Environments, Angeline Nichols, Enoch Tonkin, Ana Lobaton, Jahzara Hope

Discovery Day - Daytona Beach

Long-duration space missions expose astronauts to microgravity and chronic low-dose radiation, both greatly impacting skeletal health. While mechanical unloading in microgravity is a well-known driver of bone loss, recent evidence indicates that radiation independently contributes to bone deterioration by increasing osteoclast activity, which remodel bone faster, and suppress osteoblast differentiation. H2AX, a histone protein that rapidly phosphorylates into y-H2AX in response to the double strands of DNA breaking, has emerged as a sensitive biological marker for radiation exposure. This project aims to determine the efficacy of H2AX in the presence of radiation-induced DNA damage in bone marrow, compared to microgravity …

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Analysis Of Non-Thermal Plasma’S Effects On Melanoma: A Biological Examination, Violet Ochrietor, Mia Nilsen, Arden Rodriguez, Ally Schwennesen Aug 2026

Analysis Of Non-Thermal Plasma’S Effects On Melanoma: A Biological Examination, Violet Ochrietor, Mia Nilsen, Arden Rodriguez, Ally Schwennesen

Discovery Day - Daytona Beach

Melanoma is a serious form of skin cancer that may present as a real and increased risk during long-term spaceflight due to radiation exposure and limited treatment options. Non-Thermal Plasma (NTP) has emerged as a promising therapeutic tool due to its ability to generate reactive oxygen and nitrogen species (ROS and RNS) that affect cellular functioning without causing temperature related damage to surrounding tissues. This project investigates the effects of NTP on melanoma cells through a biological examination of exposure time, frequency of plasma, and cellular growth conditions. Human melanoma cells and keratinocytes will be cultured and exposed to the …

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Exercise Intensity And The Effects On Mood And Wellbeing, Emily Amortegui, Ashley Albert, Riley Ensor, Keyanna Keyanna Jackson Aug 2026

Exercise Intensity And The Effects On Mood And Wellbeing, Emily Amortegui, Ashley Albert, Riley Ensor, Keyanna Keyanna Jackson

Discovery Day - Daytona Beach

With many students dealing with anxiety, sadness, and high levels of stress, mental health issues among college students have grown in intensity. A lot of research has been done on the possible benefits of physical activity for mental health, but most of it focuses on correlations rather than the biological mechanisms. The purpose of this study is to examine the effects of varying exercise intensities on physiological stress markers and mood in college students ages 18 to 25. To assure precise intensity levels, participants from Embry-Riddle Aeronautical University will work out at low, moderate, and high intensities while wearing heart …

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The Effect Of Snris On Pilot Reaction Time In Simulated Flight, Isabella Owen, Aidan Roach, Micah Henry, Casey Tressler Aug 2026

The Effect Of Snris On Pilot Reaction Time In Simulated Flight, Isabella Owen, Aidan Roach, Micah Henry, Casey Tressler

Discovery Day - Daytona Beach

Many aviators who are prescribed serotonin and norepinephrine reuptake inhibitors (SNRI) or selective serotonin reuptake inhibitors (SSRI) to treat mental health disorders such as major depressive disorder, general anxiety disorder, or post-traumatic stress disorder must halt their duties for a set amount of time. This is due to aviation authorities having data that suggests SNRIs and SSRIs lead to inhibitions in mental processes that can cause crashes or death. Most of the research that has been conducted examined the effects of SSRIs on individuals without mental health disorders in non-flight settings. This study will explore the effect SNRIs have on …

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Effects Of Microgravity And Gamma Radiation On Biofilm Growth, Anya Pavlidis, Kaitlyn Mills Mills, Eva Mcclory, Grant Erlinder, Allen Qiu Aug 2026

Effects Of Microgravity And Gamma Radiation On Biofilm Growth, Anya Pavlidis, Kaitlyn Mills Mills, Eva Mcclory, Grant Erlinder, Allen Qiu

Discovery Day - Daytona Beach

Biofilms are collections of bacteria that commonly grow on a variety of surfaces. They are resistant to environmental impacts as bacteria fortify themselves to a surface. Biofilms are commonly found on Earth, but more problematically are also found on spacecraft. On the ISS biofilms have developed in spaces like the workout area, food spaces, and most concerning in the Water Recovery System (WRS). Biofilms tend to react differently to attempted cleaning methods in space than they do on Earth and can be located in extremely difficult to reach places.   This study aims to explore the effects of gamma radiation on …

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Effects Of Sleep Duration And Perceived Stress Of Reaction Time In Undergraduate Students, Caitlin Wescott, Edna Urrutia, Ryan F. Rednick, David Still Aug 2026

Effects Of Sleep Duration And Perceived Stress Of Reaction Time In Undergraduate Students, Caitlin Wescott, Edna Urrutia, Ryan F. Rednick, David Still

Discovery Day - Daytona Beach

Sleep deprivation and psychological stress are common among undergraduate students and can negatively affect cognitive performance. Reaction time is an important indicator of attention and processing speed and plays a critical role in both everyday activities, such as driving, and high-performance environments where rapid responses are required. This study aims to examine how sleep duration and perceived stress levels influence reaction time in undergraduate students. Participants will report their sleep duration and perceived stress levels through short surveys and wearable sleep data, while reaction time will be measured using a standardized computerized reaction time test. By comparing reaction time across …

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Application Of Navier Stokes In Cfd, Hayden Kerkhoff, Gavin Palmer, Garret Seckinger Aug 2026

Application Of Navier Stokes In Cfd, Hayden Kerkhoff, Gavin Palmer, Garret Seckinger

Discovery Day - Daytona Beach

This project investigates the use of 2-Dimensional Computational Fluid Dynamics (CFD) to analyze aerodynamic behavior, then compare data with the numerical solution of the Navier–Stokes equations run by MATLAB. By leveraging open‑source and possible industry CFD platforms—including OpenFOAM and commercial solvers such as ANSYS Fluent and Inventor Professional—the study evaluates how computational methods simulate, optimize, and predict key aerodynamic quantities such as lift, drag, stall angle, and Reynolds number.   The project focuses on modeling an airflow over specific parameters, such as different angles of attacks and ISA Atmospheric Conditions. Parametric variations in density, angle of attack, chord length, and temperature …

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Cavitation In Pumps And Propellers: Causes, Effects, Prevention, And Future Trends, Gillian Negron Burgos, Olivia Wilson Aug 2026

Cavitation In Pumps And Propellers: Causes, Effects, Prevention, And Future Trends, Gillian Negron Burgos, Olivia Wilson

Discovery Day - Daytona Beach

In this research, we will explore cavitation in pumps and propellers, including its causes, effects on system performance, prevention methods, and future engineering solutions. Cavitation occurs when the local pressure of a flowing liquid drops below its vapor pressure, forming vapor-filled bubbles that collapse and damage mechanical components. Disciplines such as fluid mechanics, thermodynamics, and materials science contribute to understanding and mitigating cavitation in fluid machinery.   When vapor bubbles collapse near metal surfaces, they generate localized shock waves that cause pitting, erosion, vibration, and noise. These effects reduce efficiency, increase maintenance requirements, and shorten the lifespan of rotating machinery used …

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Mechanical Vibrations And Damping, Axon Deadrick, Will Standish, Tanay Agarwal Aug 2026

Mechanical Vibrations And Damping, Axon Deadrick, Will Standish, Tanay Agarwal

Discovery Day - Daytona Beach

Mechanical vibrations occur in many engineering systems and can be described using second-order differential equations. In this project, the motion of vibrating systems is studied using the mass–spring model. The focus is on three types of oscillations: free vibrations, dampened vibrations, and forced oscillations. Free vibration describes how a system moves when it is displaced and then released without any external force. Damped vibration includes effects such as friction or resistance that cause the motion to gradually decrease over time. Forced oscillations occur when an external force acts on the system and continuously drives the motion. This project also examines …

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