An online module to deal with PCA has been developed in ASP scripting language based on Server-Client Architecture. The module produces descriptive statistics via subprogram Descriptive Stats, computes eigenvalues and eigenvector using MxEigen Jacobisub-program, order eigenvector through MxEigsrtsub-program and finally produces eigenvalues, eigenvectors, output loadings and components scores through Output Eigenval, Output Loadings, Output Scoressub-programs. A user friendly interface has been developed for entering or pasting the data, entering various parameters such as number of variables, number of observations and selection of covariance/correlation matrix. A complete procedure for how to perform principal component has also been provided in help file.
This study focused on the analysis of two-dimensional incompressible magnetohydrodynamic Carreau nanofluid flow across a stretching cylinder containing microorganisms with the impacts of chemical reactions and multiple slip boundary conditions. Moreover, the main objective is concerned with the enhancement of thermal transportation with the effect of heat source and bioconvection. By assigning pertinent similarity transitions to the governing partial differential equations, a series of equations (ODES) is generated. An optimum computational solver, namely the bvp5c software package, is utilized for numerical estimations. The impact of distinct parameters on thermal expansion, thermophoresis, and the Nusselt number has been emphasized, employing tables, diagrams, and surface maps for both shear thinning (n < 1) and shear thickening (n > 1) instances. Motile concentration profiles decrease with Lb and the motile microorganism density slip parameter. It is observed that with increasing values of Pr, both the boundary layer thickness and temperature declined in both cases. The Weissenberg number demonstrates a different nature depending on the type of fluid; skin friction, the velocity profile and Nusselt number drop when n < 1 and increase when n > 1. The two- and three-dimensional graphs show the simultaneous effect of involving parameters with physical quantities. The accuracy of the existing observations is evidenced by the impressive resemblance between the contemporary and preceding remedies.
The objective of the current analysis is to study the influence of MHD on flow of an ethylene glycol-based nanofluid containing copper nanoparticles through a exponential stretching sheet. Several parameters including Dufour, thermal radiation, Magnetohydrodynamic (MHD), and Eckart number, were investigated for their impacts on fluid flow, heat and mass transfer profiles, and thermal convective boundary conditions, while Navier velocity slip was also considered. The basic PDEs are transformed into nondimensional ODEs using appropriate transformations and numerically characterized by bvp4c. The graphs examine the influence of relevant parameters on heat and mass transfer profiles. The velocity profile decrease with slip effect. As the Biot number increased, the thermal layer became thicker. The Nusselt number are the decline functions of magnetic field, Eckert number and Brownian diffusion but the local Sherwood number enhanced with these parameters. The Nusselt number intensifies with radiation parameter Rd, slip parameter \(\lambda\) and Biot numberBi. The temperature and concentration profiles rises with increase in Nt.
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