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(R2076) New Exact Solution of Gilson–Pickering Equation in Plasma
Get PDFIn this paper, we use Paul-Painlev´e approach method, extended rational sine-cosine method and extended rational sinh-cosh method to construct the exact solution of the nonlinear Gilson-Pickering (GP) equation in plasma. The exact solution of GP equation obtained by the above three methods is new, and we use mathematical software to draw the two-dimensional and three-dimensional graphs of the new exact solutions. Through the study of nonlinear equations in plasma, this study will enrich the research and connotation of nonlinear development equations in plasma
What Are The Potential Drivers Of Nil Perception Among Student-Athletes?
Get PDFThis dissertation investigated the impact of the NCAA\u27s Name, Image, and Likeness (NIL) policy on student-athletes\u27 college choice. By synthesizing existing academic literature on NIL and college choice models, the study established a comprehensive theoretical framework. The research employed quantitative methods, gathering data through a survey to explore their perceptions and experiences with NIL. The analysis revealed that NIL significantly influenced college selection, with factors such as scholarship type, sport type, and geographic background of the athletes playing crucial roles. Interestingly, most respondents were aware of NIL policies before starting their college search. Demographic insights showed a slight female majority among participants, most of whom received some form of scholarship. This study enhances understanding of the strategic considerations student-athletes undertake in response to NIL policies
Keywords: NCAA, nil, student-athlete, college choice, scholarship, region, spor
Sports Leadership And Team Performance: The Case Of NFL Head Coaches
Get PDFThis research aimed to isolate and emphasize the role of coaching in a sports team’s success within the National Football League (NFL) context, bridging the gap between academic research and practical applications in sports leadership. For this purpose, data from the 2014-2023 NFL seasons and Pro Football Reference were analyzed to evaluate the impact of coaches’ leadership styles on NFL teams’ performance. Extant literature focused on the characteristics of individual players, teams, and coaches, not necessarily related to leadership style, that can lead to team success. Thus, emphasizing the direct impact of leadership style represents a potentially significant contribution to this literature. The study employed textual analysis for classification using interviews with NFL coaches and similar sources to address the challenges of categorizing NFL coaching behaviors into distinct styles. It then used multivariate regression analysis to test several hypotheses linking leadership styles, specifically transformational and autocratic, to team outcomes. Factors such as coach experience and tenure were considered as controls to ensure the validity of the findings. The results showed that although the NFL is dominated by autocratic coaches, transformational leadership significantly improves a
team’s chance of success, that is, making it to the playoffs. Ultimately, the findings inform decision-making processes for NFL team owners, managers, and coaches when selecting coaching staff members and developing strategic plans for their teams. Additionally, the insights generated from this research could have broader applications beyond the NFL and inform coaching practices in other sports leagues or non-sports contexts in which leadership and team performance are critical.
Keywords: NFL, sports coaching, leadership style, transformational leadership, autocratic leadership, sports team performanc
Impact Of Educational Sessions On Compassion Fatigue Among Home Healthcare Nurses: An Evidence-Based Practice Project
Get PDFBackground: Nurses are compassionate professionals who provide critical care, often at the expense of their own well-being. As the healthcare system faces rapid changes due to an aging population, nursing shortages, and the impact of COVID-19, compassion fatigue has become increasingly common. Despite its prevalence, few healthcare institutions address this issue. Objective: The objective of this DNP project was to evaluate whether weekly educational sessions enhanced perceptions of a positive quality of life, which typically declines with increased compassion fatigue, as measured by the Professional Quality of Life (ProQOL) scale. PICOT Question: Do weekly educational sessions on compassion fatigue (I) among nurses in home healthcare settings (P) improve scores (O) on the ProQOL scale over a 6-week period (T)? Methodology: The target population consisted of 50 home healthcare nurses. Participants attended weekly 20-minute educational sessions via Zoom that provided information on compassion fatigue and self-care strategies and aimed to enhance compassion satisfaction (CS). The ProQOL scale, which measures CS, burnout, and secondary traumatic stress (STS), was administered before and after the six-week intervention to assess changes in professional quality of life. Results: The intention-to-treat analysis revealed significant improvements in CS (p = .007) and reductions in burnout (p = .021), though no statistically significant reduction was observed in STS (p = .284). In the per-protocol analysis, the changes in CS remained significant (p = .027), whereas reductions in burnout (p = .103) and STS (p = .139) were not statistically significant. Conclusion: The educational sessions effectively increased the nurses’ fulfillment in their caregiving roles and reduced burnout. However, addressing STS may require more comprehensive interventions. The intervention positively impacted the nurses’ well-being and job satisfaction, reinforcing the importance of educational support in mitigating compassion fatigue. Implication for Practice: Educational interventions focused on compassion fatigue can be valuable in promoting the mental health of home healthcare nurses. By improving CS and reducing burnout, such programs contribute to a healthier work environment, leading to better patient care and increased nurse retention.
Keywords: compassion fatigue, burnout, compassion satisfaction, secondary traumatic stress, home healthcare nurse
(R2090) Analysis of Heat and Mass Transfer in MHD Boundary Layer Flow of Chemically Reacting Fluid
Get PDFAnalysis of the effects of heat and mass transfer on the chemically responding boundary layer flow of a Casson fluid across a porous stretched sheet in the existence of a crosswise magnetic field is the aim of the existing work. The partial differential equations that control the current flow problems can be converted into similarity equations by applying the right similarity technique. Our goal is to use the DTM-Pade approximation to analytically solve the derived similarity equations. The transformed similarity equations are a group of nonlinear ordinary differential equations for the present flow problem. The analytical approach of the differential transform method (DTM) with Pade approximant has been used to solve the group of nonlinear ordinary differential equations. For the velocity, temperature, and concentration, graphical approximate analytical solutions are presented. It is invigilated that increasing the Casson parameter decreases the velocity field, and the temperature and concentration increase while enhancing the Casson parameter
Existence and Uniqueness of Solutions of Sobolev Type Second Order Integrodifferential Equation
Get PDFThe primary concern of this article is to establish the existence, uniqueness and continuous dependence on initial data of mild solutions of second order mixed integrodifferential equations of Sobolev type in Banach spaces. For this objective, we employ the idea of strongly continuous cosine family of operators, the modified version of Banach theorem and Grownwall’s inequality. The model is demonstrated to elucidate the abstract conclusion
Utilization of Caputo Fractional Derivative in MHD Nanofluid Flow With Soret and Thermal Radiation Effects
Get PDFIn existence of heat diffusion and thermal radiation, an analytical equation is found for unsteady MHD flow past an exponentially accelerating vertical plate in optically thick water based nanofluid. The governing equations are made dimensionless by similarity transformation. A definition of Caputo fractional derivative is applied to generalize governing system of partial differential equations. Laplace transform techniques are applied and obtained the analytical solutions of proposed problems. For a physical point of view, numerical results are obtained using MATLAB software and presented via graphs. From the results, it is concluded that magnetic fields tend to reduce velocity. It is also worth noting that the heat transfer process improved with thermal radiation parameter whereas, mass transfer process improved with thermal diffusion
Effects of Magnetic Field and Chemical Reaction on a Time Dependent Casson Fluid Flow
Get PDFThis research paper deals with the effect of chemical reactions and magnetic fields on the hydrodynamics fluid flow of Casson fluid. The novelty of this work is the inclusion of time-dependent flow across a vertical plate with a stepped concentration at the surface in a porous media. The stated phenomenon is modeled in the PDE system and is adapted in the ODE system through similarity transformation. The LT (Laplace Transform) and ILT (Inverse LT) are used to obtain the analytical results for regulating dimension-free movement, thermals, and concentration expression. The exact expression of shear rate, heat exchange rate, and mass exchange rate are obtained. The consequences of different tangible parameters in proposed problems were presented by diagrams. From the result, it is concluded that velocity profiles are delayed with rising the number of magnetic fields. It can be analyzed that temperature is enhanced with thermal radiation, whereas concentration profiles are delayed with chemical reaction parameters
Green Synthesis Of Silver And Titanium Nanoparticles Using Erythrina Variegata Root Bark Extract And Evaluation Of Their Antioxidant And Cytotoxicity Effectiveness
Get PDFErythrina variegata belongs to the Erythrina genus, which consists of approximately 110 species of trees and shrubs. In its native regions, different parts of the plant have been used for its effectiveness in treating asthma, epilepsy, bacterial infections, and wounds. Characterization studies have been done for this plant, and researchers have identified several alkaloids, flavonoids, and other active phytoconstituents that help treat different ailments. Prior research has focused on the phytochemical profile of E. variegata’s leaves, flowers, and stem bark. This work aimed to address gaps in the characterization of E. variegata’s root bark while exploring the effectiveness of titanium and silver nanoparticles in cytotoxicity, antioxidant, electrochemical studies, and bioactive property enhancement. Overall research questions included whether the phytochemical profile of this medicinal plant could be expanded and whether this plant possessed antioxidant and cytotoxic capabilities to be used in human and environmental health applications. The methodology included preparing E. variegata root bark extract, examining bioactive compounds in the pure extract alone via GC-MS, and using the extract to synthesize silver and titanium nanoparticles. The synthesized nanoparticles were characterized using UV-visible spectroscopy, Fourier Transform Infrared spectroscopy (FTIR), Scanning Electron Microscopy (SEM), Energy Dispersive X-ray spectroscopy (EDS), and dynamic light scattering experiments. The mass spectrometry results confirm the presence of bioactive compounds known to belong to the Erythrina genus and some compounds unique to the root bark. Characterization studies confirmed the formation of titanium and silver nanoparticles using the plant’s extract. While examining the radical scavenging and cytotoxicity effectiveness of the plant nanoparticles, it was discovered that silver and titanium nanoparticles synthesized using the root bark extract could maintain and enhance specific bioactive properties of the plant. The research presented in this work sought to enhance current knowledge on chemical components regarding E. variegata and examine changes in phytochemical properties when used to synthesize silver and titanium nanoparticles. Through characterization experiments and the conduction of foundational application studies, this study was designed to contribute to the progress of incorporating natural products to enhance human and environmental health while promoting the use of green chemistry techniques.
Index Terms- Erythrina variegata, dynamic light scattering (DLS), energy dispersive X-ray spectroscopy (EDS), fourier transform infrared spectroscopy (FTIR), gas chromatography-mass spectrometry (GC-MS), green nanoparticle synthesis, scanning electron microscopy (SEM), ultra-violet visible spectroscopy (UV)