The present study highlights the flow of an incompressible nanofluid following non-Newtonian flow. fluid behavior is characterized by Casson prototype. occupies conical gap between rotating/stationary surfaces cone and horizontal disc. Heat mass transfer also considered. novelty proposed mathematical model supplemented with impacts a uniform magnetic field imposed vertically upon together Ohmic dissipation chemical reactions. constitutive equations have been interpreted along cylindrical...

The key objective of the current examination is to examine a symmetrically peristaltic movement microorganisms in Rabinowitsch fluid (RF). Boussinesq approximation, buoyancy-driven flow, where density with gravity force term taken as linear function heat and concentrations, kept mind. flow moves thermophoretic particle deposition horizontal tube peristalsis. distribution volume concentration are revealed by temperature radiation chemical reaction characteristics. originality existing study...

This work investigates a non-Newtonian MHD Carreau nanofluid over stretched vertical cylinder of an incompressible boundary layer with mobile microorganisms. The flow exists in permeable media and follows the modified Darcy’s law. An unchanged normal magnetic strength to walls saturates system. Ohmic dissipation, heat source, chemical reaction activation energy properties, heat, volumetric nanoparticles fraction as well microorganism profiles are covered. Thermal conductivity mass...

Abstract The nonlinear stability examination of two revolving magnetized liquid columns connecting completely submerged fluids in a permeable region is the aim existing paper. Two endless vertical cylinders occupied with magnetic make up present structure. Significantly, disturbance at border displays an azimuthal behavior. entire structure activated by unchanging field (MF). increasing interest atmospheric and oceanic dynamics primary motivation exploring this problem. To relax complication...

Abstract Purpose The objective of the present study is to analyze a damped Mathieu–cubic quintic Duffing oscillator as parametric nonlinear oscillatory dynamical system. This equation has multiple applications in diverse fields, including optics, quantum physics, and general relativity. There are concerns related periodic motion analysis boundary-value problems with elliptic symmetries. current effort aims determine frequency amplitude issues. Method non-perturbative approach (NPA) employed...

The movement of a non-Newtonian incompressible Prandtl-Eyring fluid layer over stretching/shrinking permeable plate is shown in the current work. flow stressed by an additional couple stress, altered uniform normal magnetic field, and saturated material. Heat transmission demonstrated using temperature-dependent heat source, exponential space-dependent Joule heating, viscous dissipations. Momentum, energy, chemical type concentration equations, coupled with appropriate boundary conditions,...

This article investigates Maxwell hybrid nanofluids (Cu-Al2O3/water and CuO-Ag/water) at a stagnation point over an extended sheet. The issue is motivated by its potential importance in enhancing thermal efficiency modern heat transfer applications, crucial optimizing manufacturing processes energy conservation technology. Therefore, the present study non-Newtonian nanoliquid across mixed convection boundary layer (BL) broadcast past shrinking/stretching surface containing nanoparticles. In...

Abstract Purpose The aim of the current study is to comparehend an analytical description different classes nonlinear Mathieu oscillators. van der Pol-Duffing-Mathieu oscillator, and generalized oscillator are examined. Additionally, hybrid Rayleigh-van oscillators, as well scrutinized. Method non-perturbative approach (NPA) utilized convert ordinary differential equations (ODEs), illustrated dynamical systems, into linear ones. approximate solutions derived independently in series expansion...

The current work scrutinizes a non-Newtonian nanofluid free convective flow induced by rotating stretchable disc. examination surveys the Stefan blowing and Cattaneo-Christov mass heat fluxes, as precise illustrative model. innovative aspects of ongoing project include analysis border sheet near revolving disc through thermophoresis, Reiner-Rivlin prototype features, random nanoparticle motion. model is considered together with effect an unvarying axial magnetic strength. constitutive...

Abstract The principal purpose of the current investigation is to indicate behavior tangent-hyperbolic micropolar nanofluid border sheet across an extending layer through a permeable medium. model influenced by normal uniform magnetic field. Temperature and nanoparticle mass transmission considered. Ohmic dissipation, heat resource, thermal radiation, chemical impacts are also included. results work have applicable importance regarding boundary layers stretching issues like rotating metals,...

The aim of the proposed scheme is to look at non-Newtonian Williamson magnetohydrodynamics (MHD) pulsatile movement an incompressible nanofluid in existence motile microorganisms. flow saturated porous media between two permeable vertical walls. fluid described by employing modified Darcy's law. An unchanged normal magnetic field pervades structure novelty ongoing work originates from a desire highlight role played microbes and bacteria, as well nanoparticles use significant pump flow. heat...

This study anticipates examining a slip bioconvective movement of non-Newtonian Sutterby nanofluid (SF) layer with motile microorganisms, where the fluid flows over curved stretching surface. The is taken across permeable medium under influence thermal diffusion, diffusion thermo, an unchanged vertical magnetic field (MF), joule heating, radiation, and chemical reactions. mathematical construction comprises momentum, energy, nanoparticles volume fraction, microorganism concentration...

The current work investigates a stream of motile microorganisms through Magnetohydrodynamics (MHD) flow an incompressible nanofluid following the non-Newtonian Jeffrey prototype. occupies space between two rotating stretching discs. This structure is stressed by constant magnetic field normal to discs with considering Hall current. heat energy Ohmic dissipation and thermal radiation. constitutive equations model have been explained in view cylindrical coordinates. fundamental partial...

The movement of microorganisms in addition to the magnetohydrodynamic (MHD) free convective peristaltic a non-Newtonian nanofluid obeying Carreau prototype is analyzed current study. In vertical tube, flow moves through porous media that fulfills modified Darcy law. Under heat dissipation and chemical reaction properties, temperature distribution volume concentration are reflected. innovation this study stems from involvement with velocity, temperature, nanoparticle distributions distinguish...

The present work demonstrates a boundary layer movement of an incompressible non-Newtonian Williamson nanoliquid. is around exponentially stretching permeable vertical surface. Moving motile microorganisms are implicated in the throughout medium considering modified Darcy law. buoyancy-driven flow presumed, where density expressed as being multiplied by gravity and chosen linear function heat, nanoparticle, microorganism concentrations. Analogous to sheet, exponential variable magnetic...

This paper considers the movement of an incompressible non-Newtonian Walters’ B liquid within a rotating annulus. The flow lies porous media and is magnetized by uniform normal magnetic field. Mass transmission included in arrangements homogeneous heterogeneous chemical reactions (HHCR) with thermal diffusion effect. Heat exposed temperature- dependent heat source (THS) exponential radial-dependent (ERHS), besides Joule heating viscous dissipations. mathematical construction shown momentum,...

In this paper the MHD of a Non-Newtonian unsteady flow an incompressible fluid under effect couple stresses and uniform external magnetic field is analysed by using Eyring Powell model. first approximation solution obtained Mathematica computational program with assuming pulsatile pressure gradient in direction motion. second order numerical non-linear partial differential equation finite difference method. The effects different parameters are discussed help graphs two cases.

In this study, we employed the M-truncated fractional singular manifold meth?od to analytically address (2+1)-dimensional Burgers equation. This approach involves reformulating original differen?tial equation into a more tractable form through introduction of manifold. transformation simplifies problem and often leads analytical solutions. We derive general solution expressed in terms arbitrary functions, which enables us accommodate variations system parameters or initial condi?tions....