Influence Of Thermal Radiation Research Articles

Effect of slip velocity on Newtonian fluid flow induced by a stretching surface within a porous medium

This article aims to examine an unsteady 2-D laminar flow of magnetohydrodynamic fluid caused by an elastic surface immersed in a permeable medium under the influence of thermal radiation and extended heat flux. Thermal conductivity and viscosity both are supposed to vary with temperature. This flow model also includes velocity slip, heat source, and joule heating. The governing equations of the fluid, including momentum and energy equations, of the proposed problem are transfigured into a system of interconnected non-linear ordinary differential equations through similarity transformations. The resultant equations are solved efficiently by employing the shooting technique in combination with the fourth-order Runge-Kutta method. Numerical values and the effect of numerous governing factors on the flow field, temperature distribution, local skin friction coefficient, and Nusselt number are showcased via graphs and tables. The investigation reveals that velocity slip, heat source, and porosity parameters enhance the temperature field while diminishing the velocity field. Furthermore, the velocity slip parameter notably reduces both the coefficient of skin friction and the Nusselt number.

Mathematical analysis of heat and mass transfer efficiency of bioconvective Casson nanofluid flow through conical gap among the rotating surfaces under the influences of thermal radiation and activation energy

In the current proceeding, the flow of incompressible non-Newtonian nanofluid called Casson nanofluid is considered. A conical gap occurred among the rotating disc and the cone filled with the fluid flow. Heat and mass transport through this nanofluid is done by the convection mode of heat transfer. The impacts of microorganisms, chemical processes, thermal radiation, minimal amount of energy, and magnetic field are also considered in the mathematical model of flow problem. The Casson nano-fluid governing equations are interpreted in cylindrical coordinates. By implementing proper similarity transformations, the modeling PDEs of energy, momentum, concentration, and microorganism density are transformed into non-linear ODEs. A set of non-linear ODEs that deals with the distributions of temperature, velocity, concentration, and motile microorganisms produced by this technique. MATLAB in-built ‘bvp4c‘ technique is utilized to solve these equations. Findings are displayed graphically and elaborated theoretically. The primary goal of this work is to examine the effects during the rotation of the disc and cone as well as the impacts of other variables on the rotation. The nano-fluid temperature and radial velocity are found to be negatively impacted by the rotation parameter whereas azimuthal velocity is positively impacted. The parametric values are taken as 0.1<Nb<0.7, 0.1<λ<0.4, 1.0<Pr<2.50.1<M<0.4, 1.0<Rb<4.0, 0.1<Nr<0.4, 0.1<Sc<3.0, 0.1<Nt<0.4 for the purpose of generating modified results. From published and current results noted that rotation parameter effects impacted the transfer rate of the nanofluid.

Thermal transport of radially magnetized peristalsis of non-Newtonian nanofluid through an asymmetric curved channel

Present examination explores the heat and mass transfer phenomena for magnetohydrodynamics (MHD) peristaltic transport of diethylene glycol (DEG)-based Cross nanofluid through an asymmetric curved channel. The mass and thermal characteristics of nanofluid are established through the assessment of Buongiorno nano-liquid model, which allows to identify intriguing features of thermophoretic and Brownian diffusion coefficients. Further, velocity slip conditions are enforced on the peristaltic walls. The influences of thermal radiation, radius-dependent magnetic field and viscous dissipation are also taken into consideration. The governing equations are simplified by employing lubrication theory (“biological estimate of the creeping transportation phenomenon”), and resulting system is tackled numerically. Impacts of different flow parameters on the nanofluid’s velocity, nanomaterials concentration profile, heat and mass transfer, streamlines, temperature of nanofluid, and stresses at the wall are analyzed via graphs and tables. The findings of this investigation report that nanofluid’s temperature enhances against Hartmann and Brinkman numbers, whereas it declines for the thermal radiation parameter. The distribution of the concentration profile decreases for Brownian motion while it increases for the thermophoresis parameter. Further, a development in the stresses, thermal and mass transfer rates at the boundary is seen for better values of the Hartmann number. Additionally, higher values of the velocity slip parameter show increasing behavior for the velocity of nanofluid near the walls of the channel. The effects of MHD with magnesium aluminate nanoparticles suspended in DEG base fluid-based nanofluid through an asymmetric curved conduit have many uses in industry, organic compounds, biomedical engineering, and commercial productions, such as brake fluid, tobacco, polyester resins, certain dyes, printing ink, polyurethanes, glue, resins, antifreeze, nitrocellulose, oils, cigarettes, plasticizers, and so forth. DEG-based nanofluids are also used in human medications, including acetaminophen and sulfanilamide, which can result in incidents of human poisoning, some of which have been fatal, either intentionally or unintentionally.

Forced convective tangent hyperbolic nanofluid flow subject to heat source/sink and Lorentz force over a permeable wedge: Numerical exploration

Abstract The magnetohydrodynamics tangent hyperbolic nanofluid (THNF) flow with the mutual impact of melting heat transfer and wedge angle over a permeable wedge is investigated numerically in the present study. Electronic devices generate excessive heat during operations, so THNF is often employed to regulate them. THNF has the ability to neutralize heat with greater efficacy, thereby reducing the probability of overheating. The influence of thermal radiation, Soret and Dufour, and heat source/sink is also observed on the fluid flow. The modeled equations are simplified to the lowest order through the similarity conversion. The obtained set of dimensionless equations is further calculated numerically by employing the parametric continuation method. The computational findings of the present study are compared to the published results for accuracy purposes. It has been detected that the results are precise and reputable. Moreover, from the graphical results, it has been perceived that the effect of permeability factor (K p) reduces the fluid flow. The rising effect of wedge angle factor enhances the energy dissemination rate and shearing stress; however the augmentation of Weissenberg number drops skin friction and energy transference rate.

Consequences of Thermal Diffusion and Chemical Reaction on Mixed Convection MHD Casson Fluid through Porous Media with Inclined Plates

In this present article, we analyzed the effects of Thermal diffusion and chemical reaction on nonlinear mixed convection MHD flow of viscous, incompressible and electrically conducting fluid past an inclined porous channel under the influence of thermal radiation and chemical reaction. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using two term perturbation technique. The numerical values of fluid velocity, fluid temperature and species concentration are displayed graphically whereas those of skin friction coefficient, rate of heat transfer and rate of mass transfer at the plate are presented in tabular form for various values of pertinent flow parameters. It is observed that the velocity is decreased with increasing magnetic field parameter. The resultant velocity and concentration has enhances with increasing thermal diffusion parameters. The study is relevant to chemical materials processing applications.

New insights into MHD squeezing flows of reacting-radiating Maxwell nanofluids via Wakif's–Buongiorno point of view

AbstractThis work presents a computational investigation of a squeezing nanofluid flow under the influence of thermal radiation, magnetohydrodynamics (MHD), and chemical process in a constrained parallel-wall geometry. In this study, the non-Newtonian behavior of a rate-type (Maxwell) nanofluid is captured by rheological expressions that serve as the foundation for the flow formulation. This kind of thinking makes it possible to simulate the intricate nanofluid behavior that incorporates the elastic and viscous responses, which are useful in a variety of situations related to nanofluid dynamics, rheology, and materials science. Additionally, the transport equations are modeled properly using Wakif's–Buongiorno nanofluid model. The equations reflecting the dynamics of the nanofluid and heat-mass transport are developed based on admissible physical assumptions, such as the negligible viscous dissipation as well as the lower magnetic Reynolds number. After that, several similarity variables are introduced in these equations to get the dimensionless formulation form. Akbari–Ganji's method is used to carry out extensive computational simulations. Our results show that the increased squeezing parameters lead to larger horizontal and vertical velocities. On the other hand, the temperature showed a reverse relationship with the increasing squeezing parameters and exhibiting a cooling impact.

The Influence of the Heat Transfer Mode on the Stability of Foam Extinguishing Agents

The mass loss mechanisms of an aqueous film-forming foam (AF foam), an AR/AFFF water-soluble film-forming foam extinguishing agent (AR foam), and a Class A foam extinguishing agent (A foam) at different levels of thermal radiation, thermal convection, and heat conduction intensity were studied. At a relatively low thermal radiation intensity, the liquid separation rate of the AF, AR, and A foams is related to the properties of the foam itself, such as viscosity and surface/interface tension, which are relatively independent of the external radiation heat flux of the foam. At low radiation intensity (15 kW/m2 and 25 kW/m2), the liquid separation rate of the AF and A foams is relatively stable. When the heat flux intensity is 35 kW/m2, the liquid separation rate of the AF and A foams increases notably, which may be mainly due to the rapid decrease in foam viscosity. And the mass loss behavior is dominated by liquid separation in the AF, AR, and A foams under the influence of thermal radiation and thermal convection. Under the same experimental conditions, the liquid separation rate of AF is the fastest. There is no significant difference in the evaporation rates of the three kinds of foam in the same heat conduction condition. In addition, the AR and A foams usually have a 25% longer liquid separation time (t) under thermal radiation and thermal convection, and the thermal stability is better than AF foam. The temperature reached by the AF foam layer under thermal convection was lower than that of the AR and A foams, and the time for the foam layer to reach the highest temperature under heat conduction was longer than that of the AR and A foams.

Characteristics of MWCNT, SWCNT, Cu and water based on magnetized flow of nanofluid with Soret and Dufour effects induced by moving wedge: Consequence of Falkner–Skan power law

Soret and Dufour effects are utilized in designing efficient heat exchangers, optimizing separation processes, and understanding biological transport phenomena. A wedge-shaped structures aid in aerodynamics, optics, seismic resistance, and biological studies. Due to these application the consequences Soret and Dufour effects on flow of nanofluid due to wedge have been investigated. The characteristics of water ( H 2 O ) as a base fluid and single-walled carbon nanotubes ( SWCNTs ) , multi-walled carbon nanotubes ( MWCNTs ) , and copper ( Cu ) nanoparticles are taking into account. The influence of thermal radiation and heat source/sink are part of this investigation. Similarity variables are used to sort out the complexity of fundamental governing equations. Maple via Runge–Kutta–Fehlberg method (RKF45) is used to solve resulting system of ordinary differential equations (ODEs). The graphical and tabulated results of velocity, temperature, and concentration profiles are plotted against different parameters involved in this study. The findings indicate that modifying the moving wedge factor reduces the temperature distribution. By increasing value of magnetic constraint the velocity distribution increased, the temperature and concentration distribution both are increased for varying the value of Dufour, and Soret and source/sink parameters.

Influence of thermal radiation and shape factor on a hybrid nanofluid flow over a permeable flat plate with cross-diffusion effects: An irreversibility analysis

Understanding and controlling the shape factors of nanoparticles in fluid flow problems is crucial for optimizing heat transfer, fluid dynamics, and various applications such as nanofluids, drug delivery systems, catalysis, and nanocomposites. By tailoring the shape of nanoparticles, researchers can manipulate their behavior, dispersion, and interaction with the fluid, thereby optimizing the desired outcomes in various fluid flow problems. The meticulous investigation uncovers the integration of entropy analysis in the investigation of the flow of convective magnetohydrodynamic hybrid nanofluid via a permeable flat surface, by considering the effects of Dufour, viscous dissipation, Soret, and thermal radiation. The governing equations are converted into a set of nonlinear ordinary differential equations using appropriate similarity transformations and then solved using the bvp4c solver, a MATLAB in-built function. We display the outcomes for three different shape factors: platelet, cylinder, and brick. The skin friction coefficient increases at a rate of 1.5089 for the brick shape, 1.5163 for the cylindrical shape, and 1.5212 for the platelet shape when the mixed convection parameter lies between 1 and 5. In this regard, it is important to point out that there is a direct connection between the increase in temperature transmission rate and a decline in the Dufour number ( Du ). It has been found that when 1 ≤ Du ≤ 2.4 , the Nusselt number decreases by 0.4786, 0.4618, and 0.4512 for brick, cylinder, and platelet shapes, respectively. A decline in the Sherwood number is noticed with an upsurge in the Soret number ( Sr ). There is a noticeable increase of 0.0442 in the Sherwood number for brick shape, 0.0438 for cylinder form, and 0.0435 for platelet form when 1 ≤ Du ≤ 2.4 . Furthermore, we have detected that an increase in the radiation parameter amplifies both the Bejan number and the profiles of entropy formation.

Peristaltic mechanism of Ellis fluid with viscous dissipation and thermal radiation induced by cilia wave

Bioheat transfer analysis in tissue has attracted the attention of numerous researchers due to its widespread potential applications in the medical field, mainly in thermotherapy and the human thermoregulation system. Also, temperature regulation of the human body primarily occurs through bioheat transfer. Due to the widespread biomedical applications of bio-heat transfer, we aim to investigate the movement of biofluid and bioheat in human organs with the influences of thermal radiation and ciliary waves. The mathematical model for Ellis fluid flow through a tube includes the metachronal wave of cilia motion and convective conditions. The governing equations are created based on mass, momentum conservation, and energy. The current problem is displayed and exact solutions are managed under long wavelength [Formula: see text] and low Reynolds number [Formula: see text] approximations. An analytical approach is employed to derive expressions for longitudinal velocity, temperature, pressure gradient, and stream function as a function of the parameters of the problem. The physical behavior of the peristaltic motion of the Ellis fluid is explained in detail and illustrated graphically for various parameter values. The results of the current study provide potential information for advancement in the biomedical industry, particularly in the development of biomedical devices and processes.

Study of mass and heat transfer for peristaltic transport of cross nanofluid through a curved channel

AbstractNanoparticles have significant applications in drug delivery systems, heat exchanges, treatment of several diseases and chemical reactions. The Cross non‐Newtonian nanofluid model for heat and mass transfer inspection with diethylene glycol‐based fluid is highlighted in this study. The magnesium aluminate nanoparticles are used to evaluate nanofluid characteristics. The current investigation explores the numerical results for magnetohydrodynamics (MHD) peristaltic movement of Cross‐nanofluid via a curved channel under the influences of thermal radiation, heat sink/source and Joule heating. The effects of viscous dissipation, thermophoretic, variable thermal conductivity and Brownian diffusion coefficients in the presence of mass and thermal convection are also taken into consideration. Flow problem is modeled using fundamental conservation laws, and the resulting nonlinear partial differential equations (PDEs) are reduced to a system of nonlinear ordinary differential equations (ODEs) by employing long wavelength and a small Reynolds number approximations. Simplified systems of ODEs are addressed by adopting numerical technique via the NDSolve built‐in command in Mathematica. Furthermore, graphical presentations explain the behavior of relevant flow parameters. Results indicate that better values of the magnetic number and the thermophoresis parameter increase the rate of mass transfer. Results indicate that the nanofluid's temperature increases by improving values of the Brinkman number and falls with the thermal radiation parameter. It is also stated that the nanofluid's velocity reduces near the lower wall for greater values of Hartman number. Moreover, heat transfer rate improves for larger values of the heat generation parameter and curvature parameter.

Activation energy analysis of mobile microorganisms using conductive nanofluid flows: Mitigating toxic algal blooms in biotechnology applications

Motile microorganisms play a central role in ecosystems in both natural habitats and laboratory settings. Their contribution to nutrient cycling is crucial and their impact on human health can be significant. Furthermore, they are promising in various biotechnological applications. Ongoing studies of microbial motility represent a dynamic and evolving field of research with profound implications for our understanding of biology, ecology, and environmental science. The thermal properties of the base material are extremely advanced and enable a wide range of industrial, technical and process applications due to their thermal radiation, variable heat transfer properties and activation energy. Researchers are still working hard to find renewable energy sources that are both economical and environmentally friendly. In this regard, the past decade has seen growing interest in the potential of nanoparticles as renewable energy sources. The current study aimed to learn more about the rheological properties of thixotropic nanofluids on the surface of Riga surrounded by rotating bacteria. For this, theoretical investigations have been performed on 3D magneto-hydrodynamic micropolar-based Casson nanofluid on the surface of Riga surrounded by rotating bacteria. The influence of thermal radiation, activation energy and heat generation are considered in the present scenario. The rheology of Brownian motion, micro rotation and thermophoresis also accounted for. Classical equations of motion in the form of PDEs are transformed into ODEs by applying similarity variables. The converted ODEs are then solved with the help of a shooting algorithm using Bvp4c MATLAB software. From an engineering point of view, the impression of physical flow parameters dimensionless profiles is demonstrated graphically and in the form of tables. The outcomes show that enhancing the porosity parameter significantly reduces the velocity profiles while the opposite behaviour is noted for the viscoelastic parameter. Moreover, temperature and concentration fields are boosted by thermophoresis and concentration exponents. Present results are validated with the existing ones. The current study has the potential to improve the stability achieved by the bioconvection of nanomaterials.

Significance of radiation on the Brinkman-type nanofluid with variable surface velocity embedding with porous matrix

The current flow phenomena based on the flow of water-based nanofluid corresponding to the variable surface velocity. Further, the electrically conducting fluid embedding with porous matrix with an inclusion of thermal radiation enriches the study as well. Because of the varied industrial applications for the use of nanoparticle concentration with radiating heat that is used in cooling process has significant role for the enhancement of heat transport properties. Besides to it in several other applications like engineering, biomedical, and nuclear science the contribution of nanoparticle shows its extensive properties. The main goal of the proposed investigation is to study the influence of thermal radiation on the Brinkman-type nanofluid in the presence of porous matrix. Further, the behavior of variable surface velocity enriches the study. The proposed designed time dependent model associated with various physical restrictions is taken care of analytically using Laplace Transformation Technique and their behavior is deliberated through graphs. However, the validation as well as convergence criteria of the present methodology correlate with the earlier investigation.

Numerical stability of magnetized Williamson nanofluid over a stretching/shrinking sheet with velocity and thermal slips effect

A numerical investigation is carried out on multiple solutions over a stretching/stretching sheet to examine the influence of thermal radiation, Lorentz force, velocity, and thermal slips on Williamson nanofluid. Nanofluids have significant applications owing to their potential properties and versatility. The Navier-Stokes equations are converted in terms of PDEs, which are then altered to ODEs through suitable transformations. The novelty of the current study is to investigate the stability of the Williamson nanofluid with the Prandtl effect over stretching/stretching sheets. The numerical results are obtained by using the Runge-Kutta order 4th-method. The analysis observes two branches (dual solutions) for different parameters due to shrinking phenomena. Due to the non-uniqueness of the solutions, a stability analysis is implemented, and it is observed that the upper branch (first solution) is trustworthy. Dual solutions exist for a shrinking state ( λ 1 c ≤ λ 1 ≤ − 0.4578 ), the single branch exists when λ 1 > − 0.4578 , and no branch exists when λ 1 ≤ λ 1 c . The findings demonstrate that as the slips and heat parameters are improved, the boundary layer thickness for the multiple solutions declines. Furthermore, the present analysis reveals that when the Williamson parameter is enhanced, the dual solutions for the concentration and temperature profiles are also increased. A validation analysis is carried out with published work and excellent agreement is established.

ANN model for magnetised Casson fluid flow under the influence of thermal radiation and temperature stratification: Comparative analysis

AbstractThe article compares the performance of multi‐layer back‐propagated neural networks using the Levenberg–Marquardt (LMS) method and Bayesian Regularization Scheme (BRS) for analysing heat transfer in magnetized Casson fluid over flat and cylindrical surfaces. Factors like mixed convection, Joule heating, thermal radiation and temperature stratification are considered. Both LMS and BRS prove effective in handling complex interactions in numerical studies. Non‐linear ODE systems are solved using a shooting technique to obtain Nusselt number datasets, which are then divided for training, testing and validation purposes. The accuracy of the artificial neural network (ANN) results is confirmed by the agreement between predicted and target Nusselt numbers. Analysis of mean square error (MSE), regression fitness and error histogram further validates ANN adeptness. Furthermore, heat transfer rate is increasing for the Casson parameter, Grashof number and radiation parameter, while, it declines for stratification parameter, Prandtl and Eckert number. The study explores the impact of various parameters on velocity and temperature profiles, revealing that ANN provides accurate Nusselt number results for both flat and cylindrical surfaces. The research contributes a novel perspective to understanding ANN behaviour in heat transfer analysis, particularly for magnetized Casson fluid flow over two stretching surfaces.

Cattaneo-Christov Heat Flux and Thermal Radiation in MHD Nanofluid Flow over a Bi-directional Stretching/Shrinking Surface

Nanofluids have gained popularity due to their better thermophysical properties and usefulness in daily life such as electronic design, solar energy, heat exchanger tubes, and cooling systems, among others. We have looked at the influence of thermal radiation, Cattaneo-Christov heat flux, and slippage on three-dimensional flow of MHD nanofluid along a surface which is stretched/shrinks in both directions in this study. The transformed ordinary differential equations are solved analytically, using homotopy analysis technique. A graphical analysis for the flows for numerous physical features has been presented. It has been observed that the fluids axial and transverse velocities are decreased by the magnetic field parameter, the suction/injection parameter, as well as by the slip parameter for stretching, whereas for shrinking, they are increased. The radiation parameter, heat transfer Biot number, and thermal relaxation parameter increases the nanofluids temperature. Bar charts were also used to evaluate how the physical parameters affect the skin friction coefficient and Nusselt number.

Non-similar analysis of MHD hybrid nanofluid flow over an exponentially stretching/shrinking sheet with the influences of thermal radiation and viscous dissipation

This article presents non-similar analysis of Tiwari-Das hybrid nanofluid flow toward the exponentially expanding/shrinking sheet. Aluminum oxide ( A l 2 O 3 ) and copper ( Cu ) nanoparticles have been dispersed in the water. The significance of viscous dissipation, thermal radiation, magnetic fields, and heat sources has been observed in this work. A mathematical system is transmuted into a dimensionless, non-similar form by the utilization of non-similar transformations. The non-similar partial differential system is simulated by employing local non-similarity up to the 3rd order of iteration via bvp4c. The significance of flow constraints versus energy and velocity profiles is demonstrated through figures and tables. The fluid velocity decreases with expanding magnetic field ( M ) and injection parameters ( S ) . Energy profile grows as radiation ( Rd ) and heat generating ( Q ) parameter increases. The thermal profile is thought to be diminished by an expansion in the Prandtl number ( Pr ) . Stretching parameter ( λ ) increases cause a reduction in the temperature profile, whereas the heat profile grows as the Eckert parameter ( Ec ) increases. For particular values of the skin friction ( C f ) and Nusselt number ( Nu ) , numerical values are produced using local similarity and local non-similarity approaches. The findings indicate that skin friction decreases as the magnetic parameter ( M ) rises, but an expansion of the Prandtl number creates a growth in the Nusselt number. Excellent agreement between the current work and the published article is discovered in limiting cases.

Analysis of heat, mass transfer, and microorganism density rates in bioconvection nanofluid flow under the influence of thermal radiation using response surface methodology

This article presents innovative studies on bioconvection caused by microorganisms in a nanofluid flow with nonlinear radiation effects over a vertical plate. The set of governing partial differential equations is transformed by the similarity transformation into a set of nonlinearly coupled ordinary differential equations (ODEs). These are then solved numerically using the fourth-order Runge–Kutta method. The current findings are in remarkable agreement with the previous studies found in the literature. It is noted that the impact of bioconvection Lewis number and Peclet number on the microbe density rate profile gets reduced, and the increasing effect of the nonlinear thermal radiation parameter on the temperature profile is observed, which maintains the heat transmission distances inside the boundary layer. Additionally, the interactions of heat, mass transfer, and microbe density rates with the selected input parameters are discussed using the response surface methodology (RSM). This model is more applicable in a variety of fields, including synthetic biology, biofuel cells, and drug delivery devices.

Radiation effect on stagnation point flow of Casson nanofluid past a stretching plate/cylinder

The exclusive behaviour of nanofluid has been actively emphasized due to the determination of improved thermal efficiency. Hence, the aim of this study is to highlight the laminar boundary layer axisymmetric stagnation point flow of Casson nanofluid past a stretching plate/cylinder under the influence of thermal radiation and suction/injection. Nanofluid comprises water and Fe3O4 as nanoparticles. In this article, a novel casson nanofluid model has been developed and studied on stretchable flat plate or circular cylinder. Adequate rational assumptions (velocity components) are employed for the transformation of the governing partial-differential equations into a group of non-dimensional ordinary-differential formulas, which are then solved analytically. The momentum and energy equations are solved through the complementary error function method and scaling quantities. Using various figures, the effects of essential factors on the nanofluid flow, heat transportation, and Nusselt number, are determined and explored. From obtained results, it is observed that the velocity field diminishes owing to magnification in stretching parameter B\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$B$$\\end{document} and Casson fluid parameter Λ\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\Lambda$$\\end{document}. The temperature field increases by amplifying radiation Nr\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$N_{r}$$\\end{document}, and solid volume fraction parameter ϕ\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\phi$$\\end{document}. The research is applicable to developing procedures for electric-conductive nanomaterials, which have potential applications in aircraft, smart coating transport phenomena, industry, engineering, and other sectors.

Numerical simulation of entropy generation in thermo-magnetic convection in an inverted T-shaped porous enclosure under thermal radiation

PurposeThermo-magnetic convective flow analysis under the impact of thermal radiation for heat and entropy generation phenomena is an active research field for understanding the efficiency of thermodynamic systems in various engineering sectors. This study aims to examine the characteristics of convective heat transport and entropy generation within an inverted T-shaped porous enclosure saturated with a hybrid nanofluid under the influence of thermal radiation and magnetic field.Design/methodology/approachThe mathematical model incorporates the Darcy-Forchheimer-Brinkmann model and considers thermal radiation in the energy balance equation. The complete mathematical model has been numerically simulated through the penalty finite element approach at varying values of flow parameters, such as Rayleigh number (Ra), Hartmann number (Ha), Darcy number (Da), radiation parameter (Rd) and porosity value (e). Furthermore, the graphical results for energy variation have been monitored through the energy-flux vector, whereas the entropy generation along with its individual components, namely, entropy generation due to heat transfer, fluid friction and magnetic field, are also presented. Furthermore, the results of the Bejan number for each component are also discussed in detail. Additionally, the concept of ecological coefficient of performance (ECOP) has also been included to analyse the thermal efficiency of the model.FindingsThe graphical analysis of results indicates that higher values of Ra, Da, e and Rd enhance the convective heat transport and entropy generation phenomena more rapidly. However, increasing Ha values have a detrimental effect due to the increasing impact of magnetic forces. Furthermore, the ECOP result suggests that the rising value of Da, e and Rd at smaller Ra show a maximum thermal efficiency of the mathematical model, which further declines as the Ra increases. Conversely, the thermal efficiency of the model improves with increasing Ha value, showing an opposite trend in ECOP.Practical implicationsSuch complex porous enclosures have practical applications in engineering and science, including areas like solar power collectors, heat exchangers and electronic equipment. Furthermore, the present study of entropy generation would play a vital role in optimizing system performance, improving energy efficiency and promoting sustainable engineering practices during the natural convection process.Originality/valueTo the best of the authors’ knowledge, this study is the first ever attempted detailed investigation of heat transfer and entropy generation phenomena flow parameter ranges in an inverted T-shaped porous enclosure under a uniform magnetic field and thermal radiation.