This research investigates the influence of combined effect chemically reactive and thermal radiation on electrically conductive stagnation point flow nanofluid in presence a stationary magnetic field. Furthermore, Newtonian heating, dissipation, activation energy are considered. The boundary layer theory developed constitutive partial differential momentum, energy, diffusion balance equations. fundamental model is changed to system coupled ordinary equations (ODEs) via proper...

The current study examines the propagation of surface waves in an asymmetric rotating doubly coated nonhomogeneous half space. coating layers are assumed to be made different homogeneous isotropic materials, while overlaying space layer is considered exponentially varying material properties. consequential exact vibrational displacements and dispersion relation determined analytically, addition approximate validation via application asymptotic procedure within long wave limit. Two cases...

Diabetes is a chronic disease and major public health concern all over the world, even when made feasible to learn about root cause of by awareness along with methods prevention. This study introduces mathematical deterministic model that describes progression type 2 diabetes, integrating component saturation treatment function named Holling II. The presented work investigates numerically analyzes impact various strategies, such as consistent physical activity, healthy diet, access medical...

The fractional regularized long wave equation and the nonlinear shallow-water are noteworthy models in domains of fluid dynamics, ocean engineering, plasma physics, microtubules living cells. In this study, a reliable efficient improved F-expansion technique, along with beta derivative, has been utilized to explore novel soliton solutions stated equations. Consequently, study establishes variety involving trigonometric, hyperbolic, rational, algebraic functions. By setting appropriate values...

<abstract><p>The current manuscript critically examines the propagation of horizontally polarized shear waves on dispersion a highly inhomogeneous thin bonded bi-material plate when load due to Winkler's elastic foundation is prescribed. An analytical procedure solution deployed for study; in addition exploitation effective boundary conditions approach asymptotic examination. The overall inference study realization fact that vibrational displacements both layers are enhanced by...

Abstract This article investigates the long-wave anti-plane shear motion in a symmetric three-layered laminate composed of pre-stressed compressible elastic layers. The layers are perfectly bonded, while traction-free and fixed boundary conditions considered on outer faces laminate. In both cases, dispersion relation is obtained terms anti-symmetric decompositions. Numerical results an asymptotic analysis presented, corresponding to three possible vibration modes. It revealed that...

This research delves into the radial vibrations of dissipative poroelastic spherical shells, which are embedded within an elastic foundation and subjected to rotational dynamics. The analysis identifies that inclusion effects gives rise a transcendental, complex-valued frequency equation. A numerical approach, specifically bisection method, is employed in MATLAB for solution derivation. In instances where argument relatively small, study leverages asymptotic expansions Bessel functions,...

The nanomaterials are the most effective thermal approach which reflects many applications in sectors of nanotechnology, engineering and industries. This theoretical investigation presents effectives micropolar presence variable features activation energy. nanofluid containing microorganisms order to improves stability nanomaterials. analysis is performed by using solutal boundary constraints. problem switched into system ordinary ones with aid appropriate transformation. solution procedure...

In this paper, we provide a generic mathematical framework for scabies transmission mechanisms. The infections involving susceptible, highly contagious people and juvenile scabiei mites are characterized by of ordinary differential equations (DEs). objective study is to examine the evolution disease employing revolutionary configuration termed fractal-fractional (FF) Atangana-Baleanu (AB) operator. Generic dynamical estimates used simulate underlying pace growth vulnerable people, clinical...

In this paper, long-wave anti-plane shear motion in a multilayered laminate composed of pre-stressed compressible elastic layers is investigated. The the are perfectly bonded, while fixed-free boundary condition prescribed on outer faces laminate. solution model determined analytically via propagator matrix and numerically through asymptotic approach. Moreover, numerical results featuring harmonic curves presented graphically, together with an analysis vibration modes. As special case...