The study of the unsteady fractional advection–diffusion equation (ADE) is carried out in cylindrical geometry along with time-exponential concentration on a surface. We have used Caputo-Fabrizio time-fractional derivative for model advection–diffusion. analytical solutions solute are determined by using integral transformations. For comparison, we also present numerical scheme to get solution different parameters' values. time ordinary approximation, use finite difference method. space...

Nanofluid technology represents a significant breakthrough in thermal engineering, with widespread applications spanning heat exchangers, cancer treatment, and storage systems. Despite its success improving transfer rates diverse devices, the challenge of enhancing conductivity using nanoparticles looms large. This study aims to elucidate 2D flow nanofluid under suction/injection over stretching wedge. It considers factors such as Brownian thermophoretic diffusions, nonlinear generation,...

This article explores the Jeffery-Hamel flow of an incompressible non-Newtonian fluid inside non-parallel walls and observes influence heat transfer in field. The is considered to be micropolar that flows a convergent/divergent channel. governing nonlinear partial differential equations (PDEs) are converted coupled ordinary (ODEs) with help suitable similarity transformation. resulting analysis determined analytically utilization Taylor optimization method based on evolution (DE) algorithm....

This paper deals with the fully-developed two-layer Eyring–Powell fluid in a vertical channel divided into two equal regions. One region is filled clear and other nano-Eyring–Powell fluid. The flow observed under uniform wall temperature concentration boundary conditions for combined heat mass transfer. governing coupled nonlinear ordinary differential equations (ODEs) of each layer are analytically solved by using optimal homotopy analysis method (OHAM) based on (HAM). HAM an efficient...

The time-fractional advection-diffusion equation with Caputo-Fabrizio fractional derivatives (fractional without singular kernel) is considered under the time-dependent emissions on boundary and first order chemical reaction. non-dimensional problem formulated by using suitable dimensionless variables fundamental solutions to Dirichlet for are determined integral transforms technique. ordinary equation, diffusion obtained as limiting cases of previous model. Using Duhamel’s principle,...

This study deals with the numerical investigation of Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid presence an outer magnetic field by using Haar wavelet method. flows occur various practical situations involving between two non-parallel walls. Applications such fluids biological industrial sciences brought a great concern to characteristics converging diverging channels. A suitable similarity transformation is applied transform nonlinear coupled partial differential equations...

The unsteady natural convection flow of an incompressible viscous fluid near a vertical plate that applies arbitrary shear stress to the is studied using Laplace transform technique. due both and heating plate. Closed-form expressions for velocity temperature are established under usual Boussinesq approximation. For illustration purposes, two special cases considered influence pertinent parameters on motion graphically underlined. required time reach steady state in case oscillating stresses...

Energy generation is currently a serious concern in the progress of human civilization. In this regard, solar energy considered as significant source renewable energy. The purpose study to establish thermal model presence spherical Au-metallic nanoparticles. It numerical work which studies unsteady magnetohydrodynamic (MHD) nanofluid flow through porous disks with heat and mass transfer aspects. Shaped factor nanoparticles investigated using small values permeable Reynolds number. order...

Abstract The key objective of this paper is to study the imprecise biological complexities in interaction two species pertaining harvesting threshold. It explained by taking prey–predator model with parameters and fractional order generalized Hukuhara (fgH) differentiability. In vain, different possible systems are constructed, according increasing decreasing behavior population growth. Feasibility stability analyses equilibrium points stated models also discussed means variational matrix...

Based on three immediate consequences of the governing equations corresponding to some unidirectional motions rate type fluids, new motion problems are tackled for exact solutions. For generality purposes, solutions developed shear stress boundary value generalized Burgers fluids. Such solutions, which instead its differential expressions is given boundary, lack in literature such Consequently, first fluids induced by an infinite plate or a circular cylinder that applies constant f...

Abstract The velocity field and the adequate shear stress corresponding to unsteady flow of a generalized Oldroyd-B fluid in an infinite circular cylinder are determined by means Hankel Laplace transforms. solutions that have been obtained, written terms G-functions, satisfy all imposed initial boundary conditions. similar for Maxwell fluids as well those ordinary obtained limiting cases our general solutions.

The helical flows of couple-stress fluids in a straight circular cylinder are studied the framework newly developed, fully determinate linear theory. fluid flow is generated by motion with time-dependent velocity. Also, vector given on cylindrical surface and nonslip condition considered. Using integral transform method, analytical solutions to axial velocity, azimuthal nonsymmetric force-stress tensor, obtained. obtained incorporate characteristic material length scale, which essential...

Graphite carbon nitride (g-C3N4) is well recognized as among the most important products for photocatalytic processes, such CO2 elimination, water isolation, purification and remediation of environment by processing organic contaminants, also have remarkable characteristics includes outstanding properties optical good thermal physiochemical efficiency with broad applications. The calculation topological index a molecular structure empowers researchers to superior comprehension physical...

Starting flows of a viscous incompressible fluid, modeled by the time-fractional derivatives, within rotating channel due to an impulsive pressure gradient are studied. Using eigenfunction expansion, analytic solutions in series form obtained. The flow ordinary fluid is studied as special case problem. convergence proved. In addition, using classical analytical method, coupled with Laplace transform and Stehfest’s algorithm, approximate solution found. rates x- y-directions determined....

In theoretical chemistry the quantitative parameters which are used to describe atomic topology of graphs termed as topological indices. Through these indices many physical and chemical characteristics such melting point, entropy, energy generation vaporisation enthalpy compounds can be predicted. The theory has a significant use in measuring relationship certain associated with various this paper, we compute novel based on eV- ve-degrees for starphene St[n,m,l] fenestrene F[n,m]. A...

The aim of this paper is to explore Noether symmetries Bianchi type II universe in the modified teleparallel [Formula: see text] gravity, where a function torsion scalar text]. In physical context, selection provides constraints that are helpful building conservation laws. Some well-known examples such laws energy and momentum. study, initially, we certain classes considering linear as well nonlinear gravity models. view models, equations motion have been solved twelve cases. each cases,...

One-dimensional transient flows of two layers immiscible fractional Maxwell fluids in a rectangular channel is investigated.The studied problem based on mathematical model focused the with memory described by constitutive equation time-fractional Caputo derivative.The flow domain considered regions namely one clear region and another filled homogeneous porous medium saturated generalized fluid.Semianalytical analytical solutions to initial-boundary conditions interface fluid-fluid are...

Nanomaterials are chemical compounds or substances which moderately produced and used. engineered to reveal novel properties of nanocells that contrast with related non-visible substances, such as expanded consistency, conductivity synthetic reaction. Topological indexes quantities molecules capture the harmony molecular structures give scientifically properties, as: viscosity, boiling point, radius gravity, so on. Their demands in genetics, chemistry, physics nanoscience infinite. The...

In a rectangular region, the multilayered laminar unsteady flow and temperature distribution of immiscible Maxwell fractional fluids by two parallel moving walls are studied. The fluid occurs in presence Robin’s boundaries linear fluid-fluid interface conditions due to motion on its planes time-dependent pressure gradient. problem is defined as mathematical model which focuses memory, represented constituent equation with Caputo time-fractional derivative. integral transformations approach...