This research explores numerically the impact of aligned magnetic field on Williamson's nanofluid a stretching surface with convective boundary conditions. The ordinary differential equations (ODE's) are obtained from partial (PDE's) employing transformation similarity. Such computed respective limits Runge-Kutta – Fehlberg's fourth-fifth order method along shooting procedure. functions many parameter values flow profiles graphically presented and examined. current results agree well...

A numerical model is employed for the nanofluid flow and heat transfer from an infinite vertical plate in existence of a magnetic field, thermal radiation viscous dissipation. The solution basic governing equations was obtained by finite element procedure. collection nanofluids with fraction nanoparticle volume comprising nanoparticles aluminium oxide, copper, titanium oxide included less than or equal to 0.04. With aid non-dimensional parameters, mathematical results velocity temperature...

The current study reveals the impact of MHD heat transfer properties an incompressible viscous fluid were numerically solved across a continuously expanding horizontal cylinder immersed in porous material existence internal production/sink. partial differential equations which govern flow with boundary constraints converted to collection non-linear ODE's aid similarity variables and then by using Keller-Box approach. components velocity, temperature, as well friction factor, rate all...

During thermal radiation treatments, heat therapies, and examination procedures like scans X-rays, the cylindrical blood vessels may get stretched; meanwhile, flow through those affected due to temperature variations around them. To overcome this issue, work was framed explore impact of transmission in a Carreau fluid (CFF) stretching cylinder terms nonlinear rate irregular source/sink. Temperature-dependent conductivity are taken into consideration study. tranform complicated partial...

In this investigation the impact of heat generation or absorption on steady MHD flow stretched semi-infinite vertical plate through porous media in involvement variable suction/injection, magnetic field, and thermal radiation influences. With help similarity transformations, basic governing PDE's are modified to ODE's. The obtained nonlinear ODE's solved by using RK 4th order along with shooting technique. achieved results shown graphs, physical dimensions subject tables is studied....

The present research paper aims to study the effect Heat source on an MHD Casson fluid through a vertical fluctuating porous plate. Dimensional non-linear coupled differential equations transformed into dimensional less by introducing similarity variables. nondimensional ordinary of velocity, temperature is solved Galerkin element technique. influence flow parameters like (γ), Permeability (K), magnetic number (M), Phase angle (ωt), Prandtl (Pr), other physical quantities velocity along with...

This article concentrates on the impact of Hall current, Radiation, Soret, and Dufour an unsteady MHD Natural convective flow over infinite vertical plate fixed in a porous media. The entire system is supposed to revolve with unvarying angular velocity Ω′around perpendicular transverse magnetic field enforced along normal which coordinated fluid area. solution non-deimensional governing equations boundary conditions are solved by using effeicient Galerkin Method. effect different pertinent...

The current article discuss the interaction between Ohmic heating and chemical reaction impact on MHD micropolar fluid flow past a stretching surface in existence of using Runge–Kutta–Fehlberg method (RKF-45) along with shooting procedure. By applying some similarity transformations, governing equations were changed to ODEs. Numerical consequences calculated for many values pertinent factors flow, angular velocity, thermal, mass transfer are exposed graphically numerical outcomes skin...

Abstract The present article investigates the influence of Joule heating and chemical reaction on magneto Casson nanofluid phenomena in occurrence thermal radiation through a porous inclined stretching sheet. Consideration is extended to heat absorption/generation viscous dissipation. governing partial differential equations were transformed into nonlinear ordinary numerically solved using Implicit Finite Difference technique. analyses effect various physical flow parameters velocity, heat,...

In the Carreau nanofluid (CNF) flow, transmission of heat through stretching cylinder is observed in two terms, one non-linear and other irregular sink/source. this study we thermal radiation conductivity which depends on temperature. We use similar variables to translate complex partial differential equations into ordinary equations. By using shooting method (SM), can find series solution highly order nonlinear ODEs. For some particular results compare with published results. Two different...

Abstract The present model deals with the consequence of Dufour, activation energy, and generation heat on electromagnetohydrodynamic flow hyperbolic tangent nanofluid via a stretching sheet. This offers broad significance in several engineering fields. With adequate similarity variables, regulating governing equations PDEs are renovated into nonlinear ODEs. numerical output produced ordinary differential is conducted MATLAB bvp4c. influence increasing features temperature, velocity,...

The primary goal of this work seems to be investigate the numerical results steady 2-D MHD stagnation point flow an incompressible nanofluid along a stretching cylinder. This paper also investigates effects radiation and convective boundary conditions. Brownian motion thermophoresis are included into model. Similarity transformations used modify obtained momentum, energy, nanoparticle volume fraction equations. distributions velocity, temperature, fractions all numerically computed using...

The present article deals with the influence of a magnetic field on unsteady MHD water-based nanofluid flow across an infinite flat plate ramped temperature gradient and radiative heat transfer in porous material is investigated. Two forms nanofluids comprising silver, titanium dioxide are considered. finite element technique used to solve governing partial differential equations, approximate results provided. temperature, velocities, rate transfer, shear stresses nano-fluids at depicted...

In this article, we investigate the behavior of a progressively stretched porous sheet by studying flow and heat transmission in boundary layer. The novelty problem is to examine activation energy Joule heating across melting surface. word for radiation included temperature computation. Similarity transformations are used transform partial differential equations into nonlinear ordinary problems involving movement, temperature, concentration. most effective solutions these found with help...

This research analyses the unsteady MHD flow via a porous medium past an accelerating vertical plate in thermally stratified of fluid existence viscous dissipation. The under consideration is assumed to be non-scattering, gray that absorbs and emits radiation. governing equations are discretized by employing finite difference approach(FDM) utilizing MATLAB software. Graphs table used exemplify impact factors on velocity temperature profiles. findings indicate decrease increase occur whenever...

An investigation of the flow and heat transfer in boundary layer is provided here to characterise behaviour a porous exponentially stretched sheet. At boundary, Joule dissipation Activation energy taken into account rather than no-slip conditions being present. In equation for temperature, there factor that accounts thermal radiation. The momentum temperature partial differential equations are transformed highly nonlinear ordinary via similarity transformations. Runge–Kutta-Fehlberg method...

Numerical solutions to the problems of heat generation and chemical reaction as well mass transfer in a 2-D viscous, electrically conducting fluid oscillating through an infinite vertical permeable moving plate saturated porous material subject transverse magnetic field are considered. The flow equations explain how things work by Finite Difference Method (FDM). impacts different factors on fields talked about. It has been found that velocity goes up both permeability increase. Although it...

This present research is focused on unsteady MHD (Magnetohydrodynamics) nanofluid flow past a vertically accelerated plate through porous medium in the existence of heat source and radiation impacts. All three ingredients are thought to be nanofluids based water that can conduct electricity. The effects electromagnetic fields considered. numerical explanations governing equations achieved using finite difference method. Graphical demonstrations temperature velocity Ag-water TiO2-water shown....

This study examines the heat and mass transfer phenomena that take place in a vertical channel containing immiscible fluids, specifically micropolar viscous fluids. The main objective is to explore impact of variable viscosity, velocity slip, other pertinent parameters on various properties, including velocity, angular temperature, diffusion. investigation reveals significant correlation between these observed effects. Also analyzes rates heat, mass, both boundaries channel. comprehensive...

This study has been carried out to understand the unsteady MHD slip flow of a water-based ternary hybrid nanofluid including spherical Cu, titanium dioxide TiO2 and cylindrical Al2O3 nanoparticles across an angled sheet. The complicated scenario above investigates how ternary-hybrid behaves when it is stretched inclined surface in existence magnetic field. In complex thermal systems such as energy-generating technologies cooling mechanisms, understanding this relationship essential....

An analysis has carried out to study effect of Soret number on MHD free convection flow heat and mass transfer an electrically conducting non-Newtonian fluid through a vertical moving porous plate. Set governing non linear coupled differential equations are converted dimensional set partial by introducing the suitable variables. Galerkin finite element technique is applied velocity, temperature concentration profiles get numerical solutions. The physical quantities chemical reaction, dufour,...

The present study explores the thermal and Joule heating effect of Casson nanofluid flow with chemical reaction over an inclined porous stretching surface. results heat source/sink, viscous dissipation, suction are regarded. new physical governing equations partial differential converted into nonlinear ordinary numerically resolved employing implicit finite difference technique. influence on velocity, temperature, concentration fields many variables addressed. numerical graphical findings...