The Darcy-Frochheimer flow scheme is important in industries where a higher stream rate impact prominent occurrence, for illustration in, petroleum engineering. In this article, we examine the influence of Cattaneo-Christov heat fluxing on flowing Sutterby nanofluid via stretchable surface with chemical reactive and radiative impacts. highest-order nonlinear partial differential equation addressed by utilizing similarity function new set ordinary developed. obtained equations are then...

The main goal of the present investigation is to evaluate radiative heat aspect on bio-convective flowing magnetized Reiner-Philippoff nanoparticle toward a wedge with Darcy-Forchheimer and swimming microorganisms impacts. Heat mass transport assessment described in occurrence source/sink, Arrhenius activation energy, nonlinear thermal radiation. purpose current studies build framework for nanomaterials that incorporates thermophoretic Brownian motion phenomena. A suitable transformation...

This research extends to investigate the effects of activation energy and thermal radiation on mixed convection striation point flow Carreau liquid toward stretchable sheet. Heat transport assessment is utilized in existence energy. For flowing formulations, substance rheological relationships are used. modelling simulation, Buongiorno nanoliquid model with thermophoretic Brownian diffusion features The obtained partial differential equation converted an ordinary by utilizing appropriate...

In this study, the combine impacts of nonlinear thermal radiation and chemical reaction on bioconvection flow magneto-Sisko fluid along a stretching cylinder with motile microorganism are investigated. The effects variable conductivity non-uniform heat source/sink also taken into consideration in mathematical modelling. analysis is total theoretically current model depicts influence thermophoresis diffusion Brownian motion using Buongiorno model. proper scaling transformation used to convert...

The research focuses on the rheological characteristics of Williamson nanofluid bioconvection flow past a stretching cylinder embedded in Darcy-Forchheimer medium. thermal radiation properties are used to make changes energy equation. peak topic Arrhenius activation is also included, as convective boundary conditions. idea microorganisms introduced stabilize nanoparticle suspensions. To numerically solve transformed nonlinear equations momentum, energy, concentration, and motile microbe...

Abstract The main feature of the current investigation is to analyze magnetohydrodynamic mixed convection flow Cross fluid. Flow due a movable thin needle with Soret and Dufour effect. Heat generation/absorption nonlinear heat radiation are used in energy equation. Characteristics chemical reaction thermal activation given special attention. Appropriate variables introduced for transformation partial differential equations ordinary equations. With assistance Runge–Kutta Fehlberg's fourth-...

The non-Newtonian liquid scheme is created to address the limitations of classical (Newtonian) in terms accurately reflecting real-world fluid flow behavior industrial applications and improving operational efficiency. Reiner–Philippoff model, one many extant models, modeling fluids, concern because it only captures a few features some circumstances. Thus, this study aims investigate theoretical aspects Cattaneo–Christov for heat diffusion fusion stream presence Darcy–Forchheimer media....

Abstract In this study, we analyzed the time-dependent, 2D, inclined magnetohydrodynamics mixed convection stagnating point flow of nanoparticle toward a permeable stretchable surface with radiative heat effect. Four different types water-based nanomaterials, namely titanium dioxide <?CDATA $\left(Ti{O}_{2}\right),$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mfenced close=")" open="(" separators=""> <mml:mrow> <mml:mi>T</mml:mi> <mml:mi>i</mml:mi>...

This article examines the chemically reactive process of time-dependent bioconvective magnetohydrodynamic Williamson nanofluid flowing toward a wedge with radiative heat in presence gyrotactic motile microorganisms. The main goal is to boost transport. Nanoparticles are most significant and widely utilized source both science industrial mechanisms. Nanotechnology remarkable thermal properties has variety roles laser diode, energy transport, boilers, power generation, MEMS, medication, cool...

The goal of this research is to address the electrical magnetohydrodynamic flow hybridity nanoparticles through a stretched surface with impact Darcy–Forchheimer permeable medium. By identifying appropriate similarity factors, partial differential equation converted into set ordinary help R-K fourth-order approach based on shooting technique. velocity, thermal, friction factor coefficient, and heat transport are investigated comprehensively for influence numerous blossoming parameters refer...

This article delves into the domain of low bandgap perovskite solar cells, driven by quest for enhanced device performance and expanded access to various energy spectra. The study systematically explores materials, design, optimization strategies pertinent cells. initial section focuses on current status scrutinizing approaches enhance bandgap, stability, charge transport. Novel materials such as mixed-halide perovskites, double quantum dots are examined improve efficiency broaden spectral...

This article investigates the bioconvection flow of Oldroyd-B nanomaterial toward an exponentially stretched surface considering effect Darcy-Brinkman-Forchheimer, nonlinear thermal radiation, buoyancy driven forces, and Arrhenius chemical reaction. Features heat transport are presented in presence activation energy distinction. The variations thermophoretic Brownian motion taken into account concentration distribution. Nonlinear partial differential equations (PDEs) transformed set ordinary...

This continuation presents the applications of on-uniform heat source/sink and viscous dissipation in megnetohydrodynaimcs (MHD) flow Casson nanoparticles toward a porous stretchable sheet. The model is presented terms governing expressions for which non-dimensional transmuted set retained by utilizing relevant similarities modification. These equations are numerically resolved famous shooting technique. influence numerous parameters such as parameter, elastic porosity Prandtl number,...

The aim of the present study was to explore effect a non-uniform heat source/sink on unsteady stagnation point flow Carreau fluid past permeable stretching/shrinking sheet. novelty model enhanced with additional effects magnetohydrodynamics, joule heating, and viscous dissipation. nonlinear partial differential equations were converted into ordinary assistance appropriate similarity relations then tackled by employing Runge-Kutta-Fehlberg technique shooting method. impacts pertinent...

In the present analysis, thin film flow of Carreau fluid under consequences uniform magnetic field over an extending substrate has been addressed. Marangoni convection and couple stress also considered to find fine point flow. The intention behind this work is enhance energy mass transmission rate a stretching sheet. phenomena have modeled in form system PDEs, which are reduced dimensionless ODEs through similarity approach. results obtained via analytical framework homotopy analysis method...

A mathematical model of time-dependent thin-film flow Carreau liquid over a stretching surface is studied in this investigation the presence couple stress and uniform magnetic field. To explain properties heat mass transport phenomena, influence both thermophoresis Brownian motion variables used. For conversion framework (momentum, heat, concentration expression with boundary conditions) into set ordinary differential equations, appropriate transformation technique followed. By using...

This research aims to establish the MHD radiating convective nanofluid flow properties with viscous dissipation across an exponentially accelerating vertical plate. As plate accelerates, its temperature progressively increases. There are two separate types of water-based nanofluids that include copper ([Formula: see text]) and titanium dioxide nanoparticles, respectively. The most crucial aspect this investigation is finding a closed-form solution nonlinear coupled partial differential...

This study deals with the investigation of thermal transport natural convection flow a second grade bio-nanofluid in vertical channel. Nanoparticles, Alumina (Al2O3) and Titania (TiO2) are combined Sodium Alginate (SA) as non-Newtonian base fluid. The structure has been modeled form governing differential equations which then non-dimensionalized solved by means Laplace Fourier sine transforms to obtain solutions for temperature velocity field. These satisfy well all initial boundary...