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The incorporation of three distinct nanoparticles in blood within the context of cubic autocatalysis holds significant potential for enhancing biomedical applications, particularly in targeted drug delivery and therapeutic interventions. The increased reaction rate improves the efficiency of catalytic processes within the bloodstream. This research investigates the thermal transport characteristics of a trihybrid Carreau nanofluid (blood) containing copper (Cu), titanium dioxide (TiO2), and aluminum oxide (Al2O3), nanoparticles in the context of a wedge‐shaped artery under the influence of autocatalytic cubic autocatalysis. Effects of thermal radiation, and heat generation are used for heat transport analysis, heterogeneous‐homogeneous chemical process included for blood concentration, and an inclined magnetic field is imposed for securitization of blood velocity. Also, the generated PDEs from the physical model are handled through similarity transformations and converted into ODEs. Bvp4c, a numerical technique is used to get the solution and then Levenberg‐Marquardt neural network (LM‐NN), a multilayer neural network scheme is used to train and predict the solution for each parameter. In addition, the numerical values of volumetric friction of coefficients enhance the thermal conductivity, and the heat transport rate is increased. The magnetic parameter, radiation and chemical processes enhance the rate of heat transport while the Weissenberg number reduces the velocity profile. [ABSTRACT FROM AUTHOR]

Magnetohydrodynamic, mass suction improves the efficiency of aggregation effects on flow and heat transfer of nanofluids over curved stretching/shrinking surface with Lorentz forces are explored in this research study, which is two-dimensional. In order to solve the partial differential equations, the similarity transformation is used to translate them into ordinary differential equations. Numerical analysis of the model is performed using RK- 4 technique coupled with the shooting technique. The local Nusselt number, velocity, and temperature profiles, as well as the skin friction coefficient, are all now being studied. The solution can be found by analyzing a precise range of characteristics, such as stretching/shrinking, suction, and curvature. These metrics critical values fall as the nanoparticle volume fractions increase, indicating that they are becoming more stable. [ABSTRACT FROM AUTHOR]

This study investigated gaps in existing knowledge on justice, desire for revenge, and associated factors in disaster research through data collected nearly three years post disaster on justice and revenge from survivors of the September 11, 2001 (9/11) attacks. A volunteer sample of 379 employees of eight affected businesses completed interviews and self-report questionnaires. Individual ratings on satisfaction with justice and desire for revenge were compared with demographic characteristics, disaster-related experience, posttraumatic stress disorder (PTSD), disaster-related distress, anger, and concerns about danger and safety. High levels of desire for revenge and relatively low levels of satisfaction with accountability for perpetrators of the 9/11 attacks were endorsed. Most of the associations between the justice scores and the revenge score with the disaster response variables were directionally consistent. Dissatisfaction with perpetrator accountability was associated with greater desire for revenge. Both of these variables were associated with greater concerns about danger and endorsement of security regulations at the expense of personal freedoms. [ABSTRACT FROM AUTHOR]

In this analysis, we considered the effects of Joule heating and partial slip boundary conditions on time dependent mixed convective nanofluid flow over a stretching sheet along with heat source/sink. The governing model is transformed into the system of nonlinear ODE's by using the well known transformations. In order to calculate the physical quantities of the problem, we use the higher order convergence method, called shotting method followed by Runge-Kutta Fehlberg method. The importance of different physical parameters on velocity, temperature and concentration profiles are calculated numerically. The parameters of engineering interest i.e, skin fraction, Nusselt and Sherwood numbers are also calculated. Finally, we concluded that the velocity profiles decrease by increasing values of A and M. Moreover the variation of temperature, velocity and concentration profiles are analyzed for the different physical parameters. [ABSTRACT FROM AUTHOR]

In this study, the blade coating process of a third-order fluid has been investigated. Flow between the narrow channel formed by the rigid blade and the web is generated due to the web motion and the constant pressure gradient. The governing equations of motion are simplified using lubrication approximation theory. We obtained analytical solutions for velocity field, pressure distribution, pressure gradient and coating thickness using perturbation method. How the model's dimensionless parameters affect velocity, pressure gradient, pressure and coating thickness are presented graphically and in tabulated form. We found that the third-order parameter provides a mechanism to control velocity, pressure, power input and the final coating thickness. [ABSTRACT FROM AUTHOR]

This article presents second language idiom acquisition research carried out in a Level 1 ESOL classroom. The research was conducted as part of a MA dissertation in applied linguistics for TESOL, and investigates how adult migrant ESOL students develop their understanding of idiomatic phrases. [ABSTRACT FROM AUTHOR]

In this paper the Homotopy Analysis Method (HAM), is applied to find the approximate solution of Hirota-Satsuma coupled (KdV) equations, which don't need a small parameter for solution. The results obtained by HAM is compared with exact solution, the results divulge that the Homotopy Analysis Method are most accurate, closed and suitable to exact solution of the equation, as compare to Homotopy Perturbation Method. It is predicated that the HAM can be found usually. [ABSTRACT FROM AUTHOR]

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This paper presents the analysis of the process of blade coating through a computational intensive method for an incompressible Newtonian fluid along with Magnetohydrodynamics (MHD). The slip between the substrate and the fluid is also taken into account. The nature of the existing steady solutions has been investigated with the help of exact and numerical methods. Those obtained exact solutions include the solutions for the velocity profiles, volumetric flow rate and pressure gradient. The important engineering quantities like maximum pressure, pressure distribution and load are also computed. It is assumed that the relative velocity between the plate and the fluid is proportional to the shear rate at the plate. An external magnetic field is applied normal to the plates. It is observed and concluded that both slip parameter and the magnetic field parameter serve as the controlling parameters in the industrial blade coating process. [ABSTRACT FROM AUTHOR]

This paper discusses analytical temperature distribution and the heat transfer from the rods having variable thermal conductivity. Homotopy analysis method (HAM) has been used to find the analytical solution for three different cases with the freedom of choosing auxiliary parameter, auxiliary function and the linear operator. Three cases of heat transfer were considered for the presented paper. The results for these were found to agree with the analysis by HAM which validated the proposed method. [ABSTRACT FROM AUTHOR]

The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems. If the noise terms exist, the Homotopy Analysis method gives the same series solution as in Adomian Decomposition Method as well as homotopy Perturbation Method (Wahab et al, 2015) and we get the exact solution using the initial guess in Homotopy Analysis Method using the results obtained by Adomian Decomposition Method. [ABSTRACT FROM AUTHOR]

A general analysis is made by homotopy perturbation method while taking the advantages of the initial guess, appearance of the embedding parameter, different choices of the linear operator to the approximated solution to the non-linear Schrodinger equation. We are not dependent upon the Adomian polynomials and find the linear forms of the components without these calculations. The discretised forms of the nonlinear Schrodinger equation allow us whether to apply any numerical technique on the discritisation forms or proceed for perturbation solution of the problem. The discretised forms obtained by constructed homotopy provide the linear parts of the components of the solution series and hence a new discretised form is obtained. The general discretised form for the NLSE allows us to choose any initial guess and the solution in the closed form. [ABSTRACT FROM AUTHOR]

This paper presents the heat transfer of a third grade uid be-tween two heated parallel plates for two models: constant viscosity model and Reynold's model. In both cases the nonlinear energy and momen-tum equations have been solved by HAM. The graphs for the velocity and temperature profiles are plotted and discussed for various values of the emerging parameters in the problem. The main effect is governed by whether or not the uid is non-Newtonian and the temperature effects are being referred to have a less dominant role. [ABSTRACT FROM AUTHOR]

This paper deals with the approximate analytical solution of the Navier-Stokes equations in cylindrical coordinates. The homotopy perturbation method is used to get the analytical approximation. Depending upon different available choices for the linear operator, we also have the advantage to choose different initial approximations to start our analysis. The analysis is done without calculating the Adomian's polynomials. [ABSTRACT FROM AUTHOR]

The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems. If the noise terms exist, the Homotopy perturbation method gives the same series solution as in Adomian Decomposition Method and we get the exact solution using two iterations only. [ABSTRACT FROM AUTHOR]

In this article the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to obtain analytic approximate solution to three system of nonlinear wave equations, namely two component evolutionary system of a homogeneous KdV Equations of order three (system-I) as well as (system-II) and the generalized coupled Hirota Satsuma KdV (System-III). [ABSTRACT FROM AUTHOR]