Effect Of Terms Research Articles

Properties of collisional plasma sheath with ionization source term and two-temperature electrons in an oblique magnetic field

A collisional magnetized plasma sheath with two groups of electrons has been studied using a fluid model including the effects of the ionization source term and the collisional force between ions and neutral atoms. Two kinds of non-Maxwellian descriptions of electron velocity distribution, non-extensive distribution and truncated distribution, are applied in the model, and the ionization effects of both kinds are considered. By applying Sagdeev potential, the modified Bohm sheath criterion is derived. The effects of ionization, magnetic field, and high-temperature electron concentration ratio on plasma sheath density, potential, sheath thickness, and ion kinetic energy are studied. In cases with high background gas density, ion density accumulates at the sheath edge position, forming a peak and manifesting as a rapid drop in the potential profile. The distribution characteristics of electrons have a significant impact on the transport properties of ions. Oscillations and non-monotonic characteristics of net charge near the sheath edge occur as the magnetic field angle increases, leading to an increase in the sheath layer width. It can be seen that in the case of a collisional sheath structure with high-temperature electrons, it is essential to consider the sheath changes induced by the ionization and the collisional force. Compared to a symmetric electron velocity distribution, the actual thickness of the sheath layer in a truncated electron distribution assumption could be significantly reduced.

Comprehensive soliton solutions of fractional stochastic Kraenkel–Manna–Merle equations in ferromagnetic materials

The inner characteristics of numerous nonlinear phenomena that arise in real-life problems are stated through nonlinear partial differential equations. This exploration is conducted with fractional stochastic Kraenkel–Manna–Merle model in ferromagnetic materials and achieved ample soliton solutions by adapting enhanced rational (G′/G)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$({G}^{\\prime}/G)$$\\end{document}-expansion and improved tanh schemes. Ferromagnetic materials play a vital role in telecommunications applications, data storage, and manipulation. A new wave variable in the sense of confirmable fractional derivative is utilized to convert the governing model into the ordinary system. The motions of ultra-short-wave pulses in ferrite’s materials are analyzed by showing the effects of fractional derivatives and noise terms on the Brownian motion through multiple diverse 3D, 2D and contour plots. Periodic, singular periodic, kink, anti-kink etc. are visualized under the different parameter’s values involved in the obtained solitary wave solutions. The outcomes made available in the current study might play vital role to depict relevant intricate nonlinear phenomena and inspire the researchers to consider the utilized techniques in further studies.

Exact solutions of hydromagnetic convective flow in a microchannel with superhydrophobic slip and temperature jump: Microfluidics applications

AbstractThe researchers explored the free convective flow of a hybrid nanofluid in a vertical microchannel with a rectangular cross‐section. Notably, both channel walls were heated alternately, and a transverse magnetic field was applied across the channel. The channel walls had unique properties, one of which was nonslip and the other was exceedingly hydrophobic. The major purpose was to investigate the effects of magnetism and superhydrophobicity on important flow parameters. The differential equations in the investigation were solved, producing accurate results. The study yielded some significant discoveries. First, when heated, the magnetic parameter reduced skin friction on both sides. Second, in both heating conditions, the magnetic field reduced flow rate and velocity. The flow rates in the two reported situations were similar at a crucial temperature jump coefficient. Furthermore, for low‐temperature jump coefficients, heating the superhydrophobic side reduced the Nusselt number whereas heating the nonslip side had no magnetic effect. The percentage change in the value of Nusselt number and velocity decreases continuously with increase in nonlinear density variation with temperature (NDT) parameter and magnetic parameter. The percentage increases in the value of skin friction with increase in temperature jump and slip length but decrease in the percentage of skin friction for the effect of magnetic term and NDT parameter. As the NDT parameter increases, the velocity percentage rises to 50.59% when the superhydrophobic surface is heated and to 84.30% when the nonslip surface is heated. The temperature jump is statistically significant for the value of the Nusselt number and skin friction for the no‐slip surface condition. These discoveries have practical consequences for the design and management of both tiny and large‐scale systems, with possible applications in microfluidics, microelectronics, nanoscience, and nanotechnology.

Numerical investigation about effects of flow sediment-storage variation on capacity modelling of morphological evolutions

The capacity model based on the Exner equation has been widely used to simulate bed load sediment transport. However, most of their governing equations neglect a sediment storage term (∂hCe/∂t), of which the impact on bed load transport simulation is unknown and needs to be better comprehended. This paper has split the capacity model into two sub-models: one with the sediment storage term and the other without the sediment storage term. The two sub-models are applied to simulate a series of typical bed load transport processes, such as dam-break flooding and swash flows. A comparison of their results is used to shed light on the effect of sediment storage term on flows and morphological evolutions. It is shown that for both dam-break flooding and swash flows, neglection of the inflow sediment storage may lead to under-estimation of bed erosion or over-estimation of bed deposition, which further affects the computed hydrodynamics greatly. Moreover, it is shown that including this factor can improve quantitative accuracy of sediment transport estimation. These indicate an important role of this factor and accordingly the present work provide a numerical justification for using sediment storage terms in capacity models.

Anharmonic effects on the squeezing of axion perturbations

It is assumed in standard cosmology that the Universe underwent a period of inflation in its earliest phase, providing the seeds for structure formation through vacuum fluctuations of the inflaton scalar field. These fluctuations get stretched by the quasi-exponential expansion of the Universe and become squeezed. The aim of this paper is to deepen the understanding of the squeezing process, considering the effect of self-interactions. Axion-like particles can provide a useful setup to study this effect. Specifically we focus on the consequences that a non-trivial evolution of the background axion field has on the squeezing of the perturbations. We follow the evolution of the axion's fluctuation modes from the horizon exit during inflation to the radiation-dominated epoch. We compute Bogoliubov coefficients and squeezing parameters, which are linked to the axion particle number and isocurvature perturbation. We find that the quantum mechanical particle production and the squeezing of the perturbations are enhanced, if one accounts for anharmonic effects, i.e., the effect of higher order terms in the potential. This effect becomes particularly strong towards the hilltop of the potential.

A Study of the Stability of Integro-Differential Volterra-Type Systems of Equations with Impulsive Effects and Point Delay Dynamics

This research relies on several kinds of Volterra-type integral differential systems and their associated stability concerns under the impulsive effects of the Volterra integral terms at certain time instants. The dynamics are defined as delay-free dynamics contriobution together with the contributions of a finite set of constant point delay dynamics, plus a Volterra integral term of either a finite length or an infinite one with intrinsic memory. The global asymptotic stability is characterized via Krasovskii–Lyapuvov functionals by incorporating the impulsive effects of the Volterra-type terms together with the effects of the point delay dynamics.

Breather solutions for a radially symmetric curl-curl wave equation with double power nonlinearity

This paper is concerned with breather solutions of a radially symmetric curl-curl wave equation with double power nonlinearity ρ(x)utt+∇×(M(x)∇×u)+μ(x)u+vp(x)|u|p−1u+vq(x)|u|q−1u=0,where (x,t)∈R3×R, u:R3×R→R3 is the unknown function, M:R3→R3×3 and ρ,μ,vp,vq:R3→(0,+∞) are radially symmetric coefficient functions with 1<p<q. By considering the solutions with a special form u=y(|x|,t)x|x|, we obtain a family of ordinary differential equations (ODEs) parameterized by the radial variable r=|x|. Then we characterize periodic behaviors and analyze the joint effects of the double power nonlinear terms on the minimal period and the maximal amplitude. Under certain conditions, we construct a 2πρ(0)/μ(0)-periodic breather solution for the original curl-curl wave equation and find such a solution which can generate a continuum of phase-shifted breathers.

Effects of Triangular Wave Injection and Current Differential Terms on Multiparameter Identification for PMSM

Effects of Triangular Wave Injection and Current Differential Terms on Multiparameter Identification for PMSM

Bank Credit and Loan Repayment Rates During Covid-19 In Kabale District: A Case of Lyamujungu Sacco

The objective of the study was to investigate the impact of bank credit on loan repayment rates in the Kabale region using Lyamujungu SACCO as the case study. Loan repayment performance at Lyamujungu SACCO has rapidly declined. The loan manager said the situation was getting worse and there was almost no ability to repay the loan. This has to do with the borrower's personality, solvency, and credit history. Members will flee from SACCO if the situation persists. The objectives of the study are:To establish the effect of borrower characteristics on loan repayment during COVID-19 in Lyamujungu SACCO, Examine the impact of borrower's loan solvency on repayment during the COVID-19 pandemic in Lyamujungu SACCO and Determining the effect of borrower's credit term on repayment during the COVID-19 pandemic at Lyamujungu SACCO. This study used a cross-sectional survey method to examine, characterize and compare bank credit and loan repayment in Kabale district, using Lyamujungu SACCO as the case study. The sample size for each subject type was determined using the table of Krejcie and Morgan (1970) cited in Amin (2005). Out of 150 samples, a sample of 108 people was selected for the study. The researcher used both purported sampling and simple random sampling to select members/clients of SACCO. The simple stochastic method is suitable for large numbers like SACCO customers. Based on the results in the table, the null hypothesis for all three variables is rejected, with a significance level of (p = &lt;.000, p = &lt;.040, and p = &lt;.001) for " The average score of the borrower's character during the repayment period", "The average score of the borrower's capacity during the repayment period" and "The average score of the borrower's credit periods during the repayment period debt" respectively. This means that there is evidence that the distribution of mean scores for each of the three variables is not the same depending on the borrower's ability to repay. The study concluded that labor productivity growth decreased and therefore income decreased, investment decreased and affected the borrower's ability to repay loans during the covid-19 pandemic in lyamujungu SACCO. The study recommends that SACCOs conduct a pre-customer assessment before granting a loan and an ongoing review process before and during loan repayment. This way, the bank will be able to know the exact trajectory of the borrower's performance in terms of repayment. This should be reinforced by effective customer relationship management, where the bank acts as more than just a source of credit

In-Plane Mixed-Mode Brittle Fracture Assessment of Harsin Marble Using HCSP Specimen

The primary objective of this manuscript is studying the effect of T-stress term (T) on the crack propagation angle (CPA) and fracture toughness of in-plane mixed mode loading by utilizing a generalized form of minimum strain energy density (SED) criterion. The generalized criterion considers the influence of the first non-singular term of the Williams stress field as well as the conventional stress intensity factors (SIFs). A specimen known as a holed-cracked square plate (HCSP) composed of white Harsin marble is used for a wide range of in-plane mixed-mode fracture studies. HCSP is a square plate containing two cracks that are placed along each other in the circumference of a hole at the center of the specimen. The experimental results from mixed-mode fracture test by using proposed geometry are then compared with the results obtained theoretically from the conventional and generalized form of SED. It is demonstrated that the generalized criterion which includes the T, is substantially in agreement with the experimentally observed in-plane mixed-mode fracture results when compared to the SED criterion.

Effect of the farmer term of trade and farmworkers wages on rural unemployment and poverty in Indonesia

This study aims to determine the determinants of the welfare of agricultural sector workers who come from poor households in rural areas. The exchange rate of farmers and the wages of farm laborers will affect the level of employment in the agricultural sector, which in turn will affect the level of rural poverty. The methodology used in this study uses a panel data regression model with a recursive equation model. The best model for unemployment estimation is the random effect model, while the best model for poverty estimation is the fixed effect model. The results showed that the daily wage of farm laborers had a significant negative effect on unemployment. This may be due to the fact that higher wages will increase the number of workers who are willing to work in the agricultural sector, so unemployment will fall. While the unemployment variable has a significant positive effect on the level of rural poverty. The practical implication of these research findings is that to reduce poverty in rural areas, efforts from the government are needed to increase the wages of farm laborers, as the government sets minimum wages in the formal sector. The higher daily wages of agricultural laborers will attract unemployed people in villages to work in the agricultural sector.

Designing a novel fractional order mathematical model for COVID-19 incorporating lockdown measures

This research focuses on the design of a novel fractional model for simulating the ongoing spread of the coronavirus (COVID-19). The model is composed of multiple categories named susceptible S(t)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$S(t)$$\\end{document}, infected I(t)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$I(t)$$\\end{document}, treated T(t)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$T(t)$$\\end{document}, and recovered R(t)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$R(t)$$\\end{document} with the susceptible category further divided into two subcategories S1(t)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$${S}_{1} (t)$$\\end{document} and S2(t)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$${S}_{2} (t)$$\\end{document}. In light of the need for restrictive measures such as mandatory masks and social distancing to control the virus, the study of the dynamics and spread of the virus is an important topic. In addition, we investigate the positivity of the solution and its boundedness to ensure positive results. Furthermore, equilibrium points for the system are determined, and a stability analysis is conducted. Additionally, this study employs the analytical technique of the Laplace Adomian decomposition method (LADM) to simulate the different compartments of the model, taking into account various scenarios. The Laplace transform is used to convert the nonlinear resulting equations into an equivalent linear form, and the Adomian polynomials are utilized to treat the nonlinear terms. Solving this set of equations yields the solution for the state variables. To further assess the dynamics of the model, numerical simulations are conducted and compared with the results from LADM. Additionally, a comparison with real data from Italy is demonstrated, which shows a perfect agreement between the obtained data using the numerical and Laplace Adomian techniques. The graphical simulation is employed to investigate the effect of fractional-order terms, and an analysis of parameters is done to observe how quickly stabilization can be achieved with or without confinement rules. It is demonstrated that if no confinement rules are applied, it will take longer for stabilization after more people have been affected; however, if strict measures and a low contact rate are implemented, stabilization can be reached sooner.

Characterizing suspended particle dispersion in wetland flows: Impact of settling velocity and vegetation factor

Predicting the dispersion process of suspended particles with settling velocity in wetland flows holds significant implications for various ecological and environmental applications. This study analytically investigates the dispersion process of fine settling particles in wetland flows due to an instantaneous release source through the asymptotic expansion method. The effect of high-order terms is incorporated. The impact of vegetation factor and settling velocity on characteristic coefficients (including mass retained in the flow, advection velocity, longitudinal dispersion coefficient, skewness, and kurtosis), vertical mean, and two-dimensional concentration distribution are analyzed. Analytical solution is validated by numerical result through random displacement method. Results demonstrate that the vegetation factor does not influence the vertical mass distribution, and a larger settling velocity results in a higher concentration of mass in the bed wall layer. The longitudinal dispersion coefficient does not exhibit a monotonic relationship with the settling velocity. The position of mass centroid of the vertical mean concentration is biased more to the upstream with the larger settling velocity. At larger times, the vertical mean concentration approximates a normal distribution, with skewness and kurtosis nearing zero. Under the influence of settling velocity, the bed wall layer exhibits a high concentration zone in the two-dimensional concentration distribution. These results can help the understanding of sediment dynamics, nutrient cycling, pollutant transport associated with the wetland flows.

Numerical solution of nonlinear diffusion advection Fisher equation by fourth‐order cubic B‐spline collocation method

AbstractThis article investigates the effect of diffusion, advection and Fisher terms when nonlinear diffusion occurs in a porous medium. The main advantage of this article is the derivation of a fourth‐order cubic B‐spline collocation method to solve the nonlinear advection‐diffusion Fisher equation, which represents many important natural phenomena. The Crank‐Nicholson method has been used to discretize space and time. The salient feature of the article is the demonstration of the unconditional stability of the proposed method using the Fourier method. While applying on existing problem having an exact solution, it is shown through error analysis that our proposed scheme is very effective. The important feature of the article is the graphical showcasing of the solution profiles for different particular cases.

Stagnation point flow for the dynamics of thermal enhancement in nanofluid by a convective extending surface with suction/injection and heat source

We intend to analyze the influences of heat dissipation and heat generation on steady nanofluid stagnated flow along an extending surface along with thermal boundary layers. Water-based Cu and Al2O3 nanoparticles are considered. Moreover, the mechanism of injection/suction has been analyzed for such flows. Fundamental governing equations for the flow of an isotropic in-compressible thermally radiative single-phase nanofluid are defined by the set of nonlinear Partial Differential Equations (PDEs) which are transmuted to Ordinary Differential Equation (ODEs) and dealt with numerically by using Runge–Kutta (RK) fourth-order adopting shooting technique that gives approximate simulations. The numerical findings are illustrated as graphical and tabular representations after a careful parametric examination of determined parameters is carried out. The current outcomes specify that the velocity profiles decrease under the influence of magnetic strength while heat distribution positively changes under the effect of magnetic strength, heat source, radiative term and Biot number quantity. The temperature profiles behave negatively with the thermal Grashof number and Prandtl number. Moreover, the comparative simulations of the ongoing study with existing the literature for ensuing the obtained simulations have been worked out.

Angular momentum distribution of a quark dressed with a gluon

We investigate the different decompositions of the angular momentum in QCD for a relativistic spin 1/2 composite state, namely a quark dressed with a gluon. We use light-front Hamiltonian perturbation theory, and in the light-front gauge, use the two-component framework by eliminating the constrained degrees of freedom. We also investigate the different decompositions of the angular momentum at the level of two-dimensional densities in the front form, including the effect of the so-called potential term. In this work, we consider the contribution coming from the quark part of the energy-momentum tensor. We contrast the different decompositions and also compare with other calculations in the literature. We also present the gravitational form factor related to the antisymmetric part of the energy-momentum tensor. Published by the American Physical Society 2024

Pain Predicts Dropout From Substance Use Treatment.

This project aimed to characterize the relationship between physical pain experienced at time of entry to residential treatment for substance use disorders (SUDs) and the frequency of treatment dropout. We hypothesized that both endorsement of recent pain and higher magnitude of endorsed pain intensity would be associated with higher dropout rates. We further hypothesized that these effects would be exacerbated among patients with opioid use disorder (OUD). Participants included 1,095 individuals in residential treatment for SUD. Data were collected within 24 hours of treatment entry. Analyses were conducted using logistic regression with dropout as the dependent variable. Dropout was operationally defined as leaving treatment against medical advice or being discharged from treatment because of use of substances. Pain (including endorsement and intensity) was the primary independent variable in all analyses. Analyses included demographic and affective covariates and included both main effects of OUD and interaction terms between OUD and pain. Pain endorsement was associated with greater frequency of dropout (odds ratio [OR] = 1.49, p = .04). Higher levels of pain intensity predicted increased rates of dropout (OR = 1.13, p < .01). In contrast with our hypothesis, no interactions between OUD and pain were observed. These results underscore the import of integrating pain monitoring and pain interventions as core components of treatment for SUD. Our findings are highly consistent with a growing literature recognizing the impact of pain across a constellation of important treatment outcomes and provide novel data strongly suggesting that pain predicts early cessation of treatment.

Onset of instability in Darcy–Forchheimer porous layer with power‐law saturating fluid

AbstractThe paper investigates the effects of the Forchheimer term (form drag) and vertical pressure gradient on the buoyancy‐induced instability of power‐law saturating fluid in a porous plane medium. Two isobaric permeable layers are assumed to sandwich the horizontal porous plane. In the meantime, Dirichlet and Neumann equations are the thermal boundary conditions considered for the lower and upper layers. A base flow developed analytically via the governing equations is just in function of the Péclet number , with no dependence on the characteristic parameter of the power law fluid. A linear stability analysis consists of substituting a base flow with a small perturbation into the governing equations leads to a four‐order eigenvalue problem. An analytical solution is performed for the asymptotic cases of an infinite wavelength. The Runge–Kutta solver is applied together with the shooting technique to evaluate numerical solutions for the general case of nonnegligible wave numbers. Among the findings is the contribution of the Forchheimer term in the variation of the threshold Péclet number whose value can switch the wave numbers from zero to nonzero and increase the stability of the system.

Do institutions matter for oil prices and economic growth relationship?: A regulatory policy implication

This study empirically investigates the moderating effect of institutional quality on the oil price-economic growth relationship among selected African oil-importing economies for a thirty-year period from 1990 to 2020. The study employs a panel autoregressive distributed lag (PARDL) model using a pooled mean group estimator (PMG) with oil price and institutional quality as the main variables. Results from the analyses indicate that oil price increase has a negative effect on economic growth in oil-importing countries and these results are consistent with the previous findings by Kudabayeva et al. (2024) amongst others. Moreover, the study established a positive and significant effect of institutional quality on economic growth. The positive and significant effect of the interaction term between oil price and institutional quality suggests that better quality institutions are critical for moderating the negative effects of oil price changes on economic growth, consistent with findings by Abdelsalam (2023). The findings from this study suggest that net oil importers should focus on eliminating dependency on oil energy and promote investment into alternative non-petroleum renewable energy sources for sustainable development. Policy reforms should focus on strengthening of robust institutions to mitigate the effects of oil price shocks and promote the growth prospects of African countries.

The Riemann Problem for the Blood Flow Model with Body Force Term

In this paper, we study the Riemann problem for the blood flow model with body force term. The Riemann solutions involve the rarefaction waves, the shock waves, and the collapsed state. Due to the effect of body force term, the solutions are not self‐similar. By a transformation, the system can be transformed into the nonreducible blood flow model. The existence of the simple wave solutions to the nonreducible blood flow model is obtained by the method of characteristic decomposition. All Riemann solutions are constructed for any given Riemann initial data. The simple wave and shock wave connected to two constant states on both sides are not straight lines, which are the key innovation and different from the results for the reducible system.