Nonlinear Thermal Radiation Research Articles

Thermal and flow characteristics of micropolar nanofluid with microorganisms: Insights from the Darcy-Forchheimer relation

The Darcy-Forchheimer relation is a key concept utilized in the analysis of fluid dynamics, specifically in understanding the pressure drop experienced by a fluid as it traverses a porous medium or a conduit with added resistance. This resistance may stem from various factors such as turbulence and viscosity. The Forchheimer coefficient serves as a metric to quantify this resistance and is typically determined through empirical studies or computational modeling. Its value is influenced by parameters like the porosity of the medium and the characteristics of the particles within it. Grasping the intricacies of the Darcy-Forchheimer relation empowers engineers and researchers to make precise predictions regarding pressure differentials and to devise efficient fluid flow systems. This knowledge is particularly vital in sectors such as oil and gas, chemical manufacturing, and environmental management. The aim of this study is to explore the application of the Darcy-Forchheimer relation within the domain of electro-magneto-hydro-dynamics flow of Micropolar nanofluid over a deformable surface. The investigation considers the impact of bio-convection (microorganisms) and the presence of a first-order chemical reaction. The energy equation accounts for phenomena like viscous dissipation, nonlinear thermal radiation, convective heat transfer, and the Soret and Dufour effects. Additionally, the research delves into the stochastic and thermophoretic attributes of the system. The governing equations of the problem were transformed into a dimensionless system and solved using the ND-solve technique. Graphical analyses were conducted to examine fluid flow, microrotation velocity, microorganism distribution, concentration, particle behavior, and temperature in relation to key flow variables. The findings indicate that higher Hartman numbers have a reverse effect on temperature and velocity profiles. An increase in the material variable results in a decrease in microrotation velocity. Temperature is influenced by vector radiation. Concentration shows contrasting trends for random and thermophoresis variables. The presence of motile microorganisms reduces the bioconvection Lewis and Peclet numbers.

Evaluation of homogeneous-heterogeneous chemical response on Maxwell-fluid flow through spiraling disks with nonlinear thermal radiation using numerical and regularized machine learning methods

ABSTRACT The present study addresses the effects of nonlinear thermal radiation and heat fall/rise on the thermal radiated viscoelastic fluid flow through spiraling disks with a homogeneous and heterogeneous chemical response. The properties of the Cattaneo-Christov heat flux model, a revised model of conventional Fourier’s law that predicts thermal relaxation properties, are examined in detail. The rotation of both the disks in the same and opposite directions is evaluated. The effect of heterogeneous-homogeneous chemical reactions is also considered in the present communication, making the study reasonably adaptable. The coupled partial differential equations, such as energy, momentum, and concentration, are transformed into ordinary differential equations by von Kármán variables. The outcomes of the present work confirm that flow behavior is reversed due to stretching action. Velocity and pressure profiles are reduced with the impact of Deborah’s number. In addition, it is noticed that increasing heterogeneous-homogeneous reaction parameters decreases the fluid concentration. Numerically computed values are compared with the predicted results using L.R. regularized L.R. and regularized S.V.R. It is observed that the regularized L.R. method outperformed the other two machine learning methods. Graphical illustrations of axial, radial, and tangential flows and concentration and temperature profiles are illustrated in graphs.

Analysis of radiative mixed convective heat transfer for non-Newtonian fluid with heat generation/absorption phenomena

The current work consists of investigating the heat generation/absorption and non-linear thermal radiation effects for two-dimensional mixed convective bi-viscosity fluid flow inside the C-shaped enclosure with uniformly heated left and linearly heated top and bottom walls. The physical flow problem is governed by applying the constitutive laws of bi-viscosity model, conservation of mass, momentum and energy balance equations. The governing non-linear coupled partial differential equations is transformed into the algebraic nonlinear system by using Galerkin's finite-element technique after eradicating the pressure terms via the penalty method, and then the Newton–Raphson technique is used to solve it. It is noted that at a low value of [Formula: see text] (which gives the high plasticity of the bi-viscosity liquid), only the primary circulations with intensity [Formula: see text] appeared, but at a high value of [Formula: see text] decreased the plasticity which caused enhanced buoyancy-driven that generate also the secondary bowls with intensity [Formula: see text] inside the enclosure. The heat transfer rate increased [Formula: see text] by an increase in the Reynolds number from [Formula: see text] to [Formula: see text]. The findings of this study will play a role in improving the thermal performance of microelectronic devices, cooling systems, food processing, solar collectors, and high performance boilers by tracing the energy transport trajectories through heatlines.

Time-dependent Darcy–Forchheimer flow of Casson hybrid nanofluid comprising the CNTs through a Riga plate with nonlinear thermal radiation and viscous dissipation

Abstract Carbon nanotubes (CNTs) are gaining popularity due to their expanding uses in industrial and technical processes, such as geothermal reservoirs, water and air filters, coatings, solar collection, ceramic material reinforcement, electrostatic dissipation, etc. In addition, the CNTs have superior electrical conductivity and biocompatibility. Based on the aforementioned applications, the current work examines the time-dependent and Darcy–Forchheimer flow of water/glycerin-based Casson hybrid nanofluid formed by single-walled CNTs and multi-walled CNTs over a Riga plate under velocity slip. The energy expression is modeled through nonlinear thermal radiation and viscous dissipation impacts. The incorporation of convective boundary condition into the current model improves its realism. By employing suitable variables, the governing models are re-framed into ordinary differential equations. The bvp4c and the homotopy analysis method are used to find the computational results of the re-framed equations and boundary conditions. The novel characteristics of a variety of physical parameters on velocity, temperature, skin friction coefficient (SFC), and local Nusselt number (LNN) are discussed via graphs, charts, and tables. It is found that the fluid velocity decays when enriching the Forchheimer number, unsteady and porosity parameters. The radiation parameter plays an opposite role in convective heating and cooling cases. The modified Hartmann number enhances the surface drag force, and the Forchheimer number declines the SFC. The unsteady parameter develops the heat transfer rate, and the Forchheimer number suppresses the LNN. The simulated flow problem has many applications in engineering sectors, including ceramic manufacture, heating and cooling systems, energy storage units, thermodynamic processes, and other fields.

Triple-diffusive free convection enhancement at the stagnation point on moving sheet under the influence of hall effect and mass flux

This study seeks to examine the impact of convective heat transfer, buoyancy ratios, hall current effect, nonlinear thermal radiation, Schmidt number, Prandtl number and mass flux condition on the temperature profiles, velocity profiles and concentration profiles. The research explores into mass and heat transfer characteristics of a stagnation point flow of a free convective triple diffusion with considerations for convective boundary constraints and nonlinear thermal radiation over a mobile vertical plate. To elucidate the aims and methodology, the study utilizes similarity transformation to convert the governing partial differential equations into a set of nonlinear ordinary differential equations. Numerical solutions are obtained employing a fourth-order Runge-Kutta shooting strategy. The findings, showcased through graphical representations, unravel the intricate interplay of parameters, shedding light on flow distribution, temperature, and velocity profiles. These quantitative results not only enhance our scientific understanding of fluid dynamics but also hold practical implications across diverse sectors. Notably, the acquired insights are poised to benefit fields such as environmental science and engineering, where optimizing heat and mass transfer processes is paramount. This research thus contributes valuable perspectives to both the theoretical framework of fluid dynamics and its real-world applications.

Soret and dufour effects on unsteady non-linear mixed convection flow past a stretching sheet influenced by non-linear thermal radiation

This article presents a novel mathematical model to analyze the behavior of a time-dependent, incompressible, non-linear (quadratic) mixed convection flow across a stretching surface heated by convection. The model takes into account the influence of non-linear thermal radiation, along with the Soret and Dufour effects. The equations governing the flow characteristics in the boundary layer approximation are derived and transformed into ordinary differential equations (ODEs) using similarity variables. The second-order ODEs are transformed into an initial value problem, which is then numerically solved using the bvp4c solver in MATLAB. The novel findings of the study have been presented using graphs and tables. The intensification of non-linear convection parameters has been shown to lead to the development of velocity near the sheet while simultaneously reducing velocity toward the free stream. The non-linear convection parameters reduce the temperature distribution, while the temperature ratio and the non-linear thermal radiation parameters enhance it. The non-linear convection parameters ( 0.5 ≤ α 1 , α 2 ≤ 2.0 ) , temperature ratio ( 1.2 ≤ θ w ≤ 1.5 ) , and non-linear thermal radiation ( 1.0 ≤ Rd ≤ 1.5 ) , parameters are influential factors in decreasing the surface drag force (by about 15.4%, 28.5%, 4.4%, and 4.3%) and increasing the cooling rate (by about 0.4%, 0.5%, 19.5%, and 23%), respectively. The Biot ( 0.5 ≤ Bi ≤ 1.0 ) number is also found to significantly contribute toward enhancing the cooling rate of the system by about 51.6%.

Chemical reaction, slip effects and non-linear thermal radiation on unsteady MHD Jeffreys nanofluid flow over a stretching sheet

“The boundary layer flow past the stretching surface by the velocity slip and the temperature jumping boundary situations is the imperative type of the flow and temperature transports happening in a number of engineering and industrial applications. Keeping in this mind, the magnetohydrodynamic (MHD) flow and temperature transport of the Jeffreys nanoliquid past a stretching sheet by the non-uniform temperature source and/or sink is explored in the current investigation. The governing scheme of the partial differential equations represents the prescribed problem and is condensed into the non-linear ordinary differential equations with the help of similarity transformations. The revised non-dimensional equations are solved computationally making use of the Runge-Kutta-Fehlberg 45 order method and the shooting method. The results are comparing by the published work for some limiting cases and they are examined to the outstanding agreements. The impacts of all flow significant parameters are traced in terms of the tables and graphical profiles. This is established that, both initial and second order velocity slip parameters trim downs the thickness of momentum boundary layers and therefore decreases the velocity as a results of these one might found the increases in the thermal boundary layer.” The boundary layer thickness and the fluid velocity increases with increase in Deborah number.

Thermal proficiency of magnetized and radiative cross-ternary hybrid nanofluid flow induced by a vertical cylinder

Abstract The ternary hybrid nanofluid leads to a significant enhancement in thermal performance applications like heat transfer in automotive engines, solar thermal energy storage, aerospace, and electronic cooling. The present study investigates the thermal characteristics of a ternary hybrid magnetized and radiated cross nanofluid comprising Al2O3, TiO2, and Ag nanoparticles in water subjected to combined convection flow around a vertical cylinder. Furthermore, innovative effects of the magnetic field, absorber surface of the cylinder, non-linear thermal radiations, and effective thermophysical characteristics of ternary nanofluid are taken, and a new model for heat transport is successfully achieved. The governing equations in the form of partial differential equations (PDEs) are obtained through Navier–Stokes and heat equations by applying current assumptions. The system of PDEs is converted into a set of ordinary differential equations (ODEs) via a similarity variable. The built-in code bvp4c in Matlab software further exercises the dimensionless ODE equations numerically. Adding multiple nanoparticles and the magnetic field effect enhances the heat transfer rate in the ternary hybrid cross nanofluid. The Weissenberg number reduces the velocity, the radiation parameter increases heat transport, and the increased volume friction of nanoparticles enhances thermal conductivity and rapid heat transport.

Irreversibility scrutiny of SWCNT and MWCNT nanofluid convective flow using Darcy-Forchheimer rule in an upright microchannel with variable thermal conductivity and Brownian motion and thermophoresis

Carbon nanotubes are used to attain greater thermal transfer rates in a various of enormous applications in the field of microsystem, emission, conductive polymers, fibers, and fabrics. Hence the aim of this article is to explore the entropy generation analysis of single wall carbon nanotubes and multiwall carbon nanotubes flow in an upright micro channel with variable thermal conductivity. The exponential heat source and non-linear thermal radiation were considered. The micro channel retains the no slip and convective boundary conditions. The Buongiorno model was used in this study, which emphasizes the light on Brownian motion and thermophoresis phenomena that occur during the fluid flow. Darcy- Forchheimer model is also taken into account. The governing equation numerically solved by employing Runge-Kutta Fehlberg's fourth-fifth order. The repercussion of this study upholds that the inflates of variable thermal conductivity magnify the thermal field. Entropy production inflates at right wall of the channel with augmented Brownian parameter and exhibits exactly opposite behavior at left wall of the channel. One of the important tasks of the investigation was to compare SWCNT and MWCNT. The findings confirmed that multiwall carbon nanotubes exhibit more magnificent heat and mass transfer than single wall carbon nanotubes.

Bioconvective flow analysis of non-Newtonian fluid over a porous curved stretching surface

The aim of current investigation is to explore the two-dimensional Darcy flow of second grade fluid with homogenous and heterogeneous reactions toward a porous curved stretching surface. The thermal features the bioconvective flow are observed with the impact of joule heating, nonlinear thermal radiation, and non-uniform heat source/sink. The thermal stratification conditions are imposed on the boundary of the surface with magnetic field which is normal to surface. Flow model momentum and energy equations are converted into the system of nonlinear ordinary differential equations with some appropriative transformation. These nonlinear equations are tackled numerically with the utilization of Bvp4c approach. The graphical and tabulated results are obtained and discussed thoroughly. It is noticed that for the larger Darcy-Forchheimer number F, porosity parameter [Formula: see text], and Hartman number M, the fluid velocity decreases, while curvature parameter [Formula: see text] exhibits the reverse trend on the velocity field. Further, increment in the fluid temperature is observed by the escalation of the Hartman number M and Eckert number Ec, because more resistance produces larger energy in the fluid. This research contributes to understanding the complex interplay of parameters governing fluid dynamics and thermal behavior near porous curved surfaces, shedding light on the impact of various factors on velocity and temperature distributions.

Chemically reactive aspects of stagnation-point boundary layer flow of second-grade nanofluid over an exponentially stretching surface

Assessing the stagnation-point flow of a second-grade nanofluid with an induced magnetic field and the effects of Joule heating toward an exponentially extending surface is the leading goal of the current effort. The modeling of the thermal and solute energy equations has taken into account nonlinear thermal radiation as well as the impact of activation energy. The boundary of the sheet is subjected to the zero-mass flux and thermal slip boundary conditions. The simulated flow equations are converted into coupled nonlinear ODEs (ordinary differential equations) using similarity variables. The BVP4C MATLAB technique is used to numerically resolve these ODEs. Graphs and tabular data are used to perform the physical debate. The importance of a greater estimation of the magnetic Prandtl number and magnetic parameter is emphasized in order to obtain a better induced magnetic field profile. Additionally, the greater estimations of the second-order fluid parameter increase the rates of friction and heat transmission.

Numerical investigation on MHD non-Newtonian pulsating Fe 3 O 4-blood nanofluid flow through vertical channel with nonlinear thermal radiation, entropy generation, and Joule heating

The main aim of the present investigation is to examine the effect of nonlinear thermal radiation, slip, and Joule heating on MHD Pulsatile flow of third-grade ferro-nanofluid via vertical channel with entropy generation. The significance of this study is that it has plenty of physiological applications like cancer treatment, vitamin injections, dialysis, heart–lung machines during surgeries and industrial applications like filtration, pharmaceutical fluid production, and dispensing cosmetic/glue emulsions with no contamination. Furthermore, the ferro-nanoliquid model is the best model for numerous bio/industrial fluids. Therefore, this study explores the entropy analysis of pulsating third-grade ferro-nanoliquid flow between two parallel vertical walls under an applied magnetic field. Blood is taken as a base fluid (third grade), and iron oxide is used as nanoparticles. The governed nonlinear partial differential equations (PDEs) are nondimensionalized, and then the perturbation technique is employed to attain the set of nonlinear ordinary differential equations (ODEs). The bvp4c technique with MATLAB software is utilized to obtain the solutions for the set of ODEs. The deviations in several physical quantities on the flow variables are deployed via graphs. An increment in Eckert number and radiation parameter accelerates the temperature. Entropy generation rate and Bejan number are accelerated for greater values of radiation parameter. The values of the skin friction and Nusselt number against various physical parameters are presented in tables.

The electrically conducting water-based nanofluid flow containing titanium and aluminum alloys over a rotating disk surface with nonlinear thermal radiation: A numerical analysis

Abstract A metallic alloy is a combination of two or more elements, often called a compound or a solution. Steel is largely composed of carbon, a nonmetal, but alloys are often made up of metals. In this article, the authors have explored the electrically conducting water-based viscous nanofluids flow past a rotating disk surface. The nanofluids flow is composed of titanium and aluminum alloys where water is used as a base fluid. Two important cases, namely the stretching case and the shrinking case, were investigated to analyze the flow behaviors due to the different embedding factors. The impacts of viscous Joule heating, thermophoresis, Brownian motion, activation energy, nonlinear thermal radiation, and chemical reaction are investigated here. By employing an appropriate set of variables for shifting the leading equations to dimension-free form. The mathematical model is solved numerically by incorporating the bvp4c MATLAB scheme. Current work is validated with previous studies. The outcomes showed that the radial velocity increases when the disk surface stretches and reduces when the disk surface shrinks. On the other hand, the Azimuthal velocity increases when the disk surface shrinks and reduces when disk surface stretches. Both the radial and Azimuthal velocities are the diminishing functions of the magnetic factor, whereas temperature is the growing function of magnetic factor. In addition, the temperature is more influenced by the magnetic factor in the case of nonlinear radiation. The higher magnetic factor increases skin friction. In addition, the stretching case experiences more surface drag than the shrinking case. It is found that nanofluid flow containing titanium alloy has perceived the greater impacts of the embedded factors compared to the nanofluid flow containing aluminum alloy.

Irreversibility scrutiny of chemically reactive Powell–Eyring liquid flow in a microchannel with Buongiorno model: a hybrid nanoparticles aspect

Hybrid nanoliquids are a miscellany inventive magnificence of nanoliquid that have been used in the province of thermal transfer such as microfluidics, protection, naval, and acoustics. Hence the main theme of the current work is to elucidate the mass and thermal behaviour of Powell-Eyring fluid flowing through an upright microchannel along with irreversibility analysis and to scrutinize the outcome of non-linear thermal radiation. The ethylene glycol and water are the base fluid with Fe3O4 − Ag nanoparticles have been considered. Chemical reactions and buoyant forces are deliberated in the study. Brownian motion, thermal dependent heat source, and thermophoresis impact were considered. Convective and slip conditions are taken at the boundaries of the channel. The governing equations were solved numerically by using Runge-Kutta Fehlberg’s fourth-fifth order. The exploration of this study upholds the amplification of solutal the Grashof number amplifying the velocity field. A significant decrement was noticed in entropy with an inflated Powell-Eyring-fluid parameter. The concentration field of the fluid flow is enhanced with the improved Schmidt number. The outturn therein established that the rate of thermal transfer in Fe3O4 −Ag/EG based hybrid nanoliquid is more remarkable when compared to Fe3O4 −Ag/water based hybrid nanoliquid.

Numerical investigation of thermal radiation with entropy generation effects in hybrid nanofluid flow over a shrinking/stretching sheet

Abstract The need for efficiency in nanotechnology has spurred extraordinary development. Hybrid nanofluids, which are base fluids injected with nanoparticles, have a great potential for thermal enhancement in thermal systems. Particularly promising for magnetic thermal engineering are magnetic hybrid nanofluids. Understanding dynamic transport in Graphene Oxide (GO)–Fe3O4/H2O and GO/H2O nanofluids over stretching and shrinking surfaces, with severe entropy consequences, is still uncharted territory. To fully grasp this complexity, our study examines the numerical investigation of entropy formation in magnetohydrodynamic (MHD) hybrid nanofluids. The aim of this study is to establish a mathematical framework for understanding entropy production in the context of MHD, unsteady, incompressible flow of hybrid nanofluid flow over surfaces that experience both stretching and shrinking. The investigation encompasses the influence of MHD effects and nonlinear thermal radiation on flow behavior. The governing modeled form is modified into solvable representations in Cartesian configuration and then addressed utilizing the built-in bvp4c approach in MATLAB. For numerous quantities of the relevant parameters, several key features of flow and heat transmission are explored, discussed, and illustrated utilizing tables and graphs. Furthermore, the heat transfer properties in a magnetic field have been improved dramatically. The comprehensive entropy generation rate was condensed by up to 41% as opposed to refined water, according to the findings from the analysis.

Dynamics of oxytactic microbes-infused cross nanofluid around a stretchy cylinder subject to Lorentz force, Arrhenius activation energy, and nonlinear thermal radiation

Dynamics of oxytactic microbes-infused cross nanofluid around a stretchy cylinder subject to Lorentz force, Arrhenius activation energy, and nonlinear thermal radiation

MHD unsteady flow of carbon nanotubes over nonlinear radiative surface with anisotropic slip conditions: computational analysis of irreversibility for Yamada-Ota model

In this study, the Yamada-Ota model is used to look for an analysis of irreversibility when there is nonsymmetric magnetohydrodynamic flow inside a nanoliquid made of carbon nanotubes (CNTs) across an unsteady three-dimensional stretching surface. In this investigation, both single- and multi-walled carbon nanotubes (SWCNTs and MWCNTs, respectively) are considered, as they are both suspended in a water solution. Anisotropic slip conditions, nonlinear thermal radiation, and an induced magnetic field are all accounted for in the model. The PDEs are changed into a group of nonlinear Equations using the non-similarity transformations and then solved by using the BVP4c program in MATLAB. The effects of important parameters like magnetic field strength, unsteadiness, nanoparticle volume fraction, slip conditions and nonlinear thermal radiation are also looked at. Increasing the nanoparticle volume percentage results in a greater velocity field for SWCNTs than for MWCNTs. The profile of entropy production exhibits an upward trend in relation to the parameters Φ, M , Br, Rd and θ w , however, it has a downward trend in relation to the parameter α. The Bejan number profile shows an upward trend in the concentration of α, while showing a decline in the cases of Φ, M , Br, Rd and θ w .

Suction/Injection Influence on Electrical MHD Nano-Fluid on a Nonlinear Radiative Flow Over a Stretching Sheet

The current communication’s goal is to look at how a radiative electrical MHD Casson nanofluid moves through a stretched sheet while being affected by nonlinear thermal radiation and suction/injection. The controlling equations incorporate a temperature and concentration parameter that is modified viscosity/thermal conductivity dependent in order to enrich the blood flow. By using similarity transformations, the system of PDEs is converted to an ODE, which is then numerically solved using the well-known fourth-order Runge-Kutta integration strategy based on the shooting method. The impacts of operating parameters on velocity, temperature and concentration profiles were explained and examined through tables and graphs. Temperature and concentration are increased as the injection (S < 0) increases. However, they show decrement when the suction (S > 0) increases.

A study of irreversibility on nonlinear thermal radiation and MHD flow of Casson and Carreau ternary hybrid nanofluid over a vertical porous plate: Numerical and statistical approach

This study looks at the effects of entropy generation on the flow of Casson and Carreau fluid ternary hybrid nanofluid over vertical plates with nonlinear thermal radiation. In this model, we used three different metals: gold (Au), titanium dioxide (TiO2), and silver (Ag) with the basic fluid being blood. The Homotopy Perturbation Method utilizes self-similarity to transform the coupled nonlinear partial differential equations into ordinary differential equations to solve them. The findings of the Numerical Method (NM) are compared to those of the Homotopy Perturbation Method (HPM) and HPM produces more dependable results. We use graphs to express the changes experienced by the entropy, temperature, velocity, and the Bejan number which are affected by the physical properties of the Casson and Carreau fluids, such as porosity, magnetic field, volume fraction, radiation, Brinkman number, and suction/injection. Nusselt number, skin friction, and streamlining are also investigated, and the obtained results are shown using graphs and tables. The regression analysis, and correlation for the Nusselt number, and skin friction were also performed. The velocity profile decreases for Casson and Carreau fluid over a vertical plate while the magnetic field parameters increase. An increase in the magnetic parameter increases the Lorentz force, which produces the resistance to the flow of fluid, and this is how velocity decreases. The increase in magnetic field and heat radiation leads to a corresponding rise in entropy generation for both Carreau and Casson fluids. This entire research focuses on ternary hybrid nanofluids, which have numerous applications. Some of them are solar thermal, automobile, biomedical, electric cooling, and optical. This study focuses on biomedicine applications such as bone regeneration, diabetes management, imaging applications, antimicrobial agents, and diagnostic applications.

Second law analysis on magnetohydrodynamics flow of Eyring-Powell hybrid nanofluid over a cylinder/plate with non-linear thermal radiation and Cattaneo-Christov heat flux: Numerical and semi-analytical simulations

This study looks at the Powell-Eyring hybrid nanofluids and the magnetohydrodynamic boundary layer effect on a plate and cylinder that are stretching. In this model, we have taken copper-aluminum oxides as the nanoparticles and water as the base fluid. Many different theoretical models now exist to depict the effect of Powell-Eyring fluid flows through a cylinder on thermal transfer. Furthermore, external magnetic forces are perfect for addressing the fluid’s substantial characteristics and managing the system’s momentum and heat transmission. We investigate the heat transport activities of two separate geometries in magnetohydrodynamic fluids by stretching a plate and cylinder with heat production, using Christov-Cattaneo’s heat flux hypothesis to describe the heat transport activities. We convert the basic partial differential equations (PDEs) into ordinary differential equations (ODEs) through accurate correspondence transformations. We solve these ordinary differential equations using the fourth-order Runge-Kutta method. We make use of the HPM on behalf of the nonlinear system to facilitate such a comparison, and demonstrate that graphs and tables can visualize its more precise and consistent results. An increase in the magnetic parameter results in an increase in the Lorentz force, which results in resistance to the flow of fluid, and this is how velocity decreases. For fluid flow, stretched cylinders are better than plates. Higher values of the temperature ratio parameter enhance the temperature profile. Calculating the Brinkman number leads to a decrease in the Nusselt number. It is possible to improve industrial processes like metal extrusion, hot rolling, glass blowing, glass-fibre manufacture, wire drawing, etc. by using this kind of theoretical research.