Triple Diffusion Research Articles

Numerical investigation for bioconvection flow of radiative viscoelastic nanofluid with triple diffusion and higher-order slip effects in a porous medium

Owing to enhanced thermal features, the study of nanofluids has become motivating research area which include various applications in renewable energy, thermal management devices, heat exchangers, microelectronics cooling, automotive industry etc. Owing such applications in mind, the aim of current investigation is to present a triple diffusion flow of viscoelastic nanofluid in presence of higher order slip effects. The problem investigates the insight of thermo-diffusion phenomenon with visualization of heat transfer, solutal concentration, nanoparticles concentration and bioconvection applications. The radiative impact with nonlinear relations and heat source are incorporated in the heat equation. The numerical simulations of problem have been performed via shooting scheme. Various applications are claimed with variation of flow parameters. It has been observed that the increase of the slip parameter enhances both the temperature nanofluid and concentration profiles. The solutal concentration profile increases due to Dufour Lewis number. Moreover, the change in nano-Lewis number leads to a decrease of concentration profile.

Unveiling the Triple Diffusion Bioconvective Applications for Couple Stress Nanofluid Due To an Oscillating Regime with Variable Thermal Features

Thermal engineering and industrial processes see various multidisciplinary applications due to the enhanced thermal performances of nanomaterials. The nanomaterials preserve a profound breakthrough in enhancing the heat transfer phenomenon. The objective of the current investigation is to address the thermal applications of couples-stress nanofluid in the presence of triple diffusion effects. The analysis is subject to the bioconvective significance of the suspension of microbes. The viscosity and thermal conductivity of a couple stress fluids are assumed to be variable. Moreover, we endorse linear thermal radiation effects and approach the problem with an effective Prandtl number. The source of flow is an oscillatory, porous stretching surface. Based on suggested flow assumptions, the model is represented via nonlinear couple partial differential equations (PDEs). We employ the homotopy analysis scheme to forecast the analytical simulations. The physical outcomes for the involved parameters are observed for the modeled problem. Various aspects based on the deduced results are claimed. Based on the performed analysis, it is observed that the magnitude of skin friction decreases due to variations in the couple-stress fluid parameter. The heat increases with the modified Dufour number and variable thermal conductivity coefficient. Furthermore, an increasing behavior of nanoparticle solutal concentration has been observed due to the Dufour-Lewis number.

Lie scaling transformations for the analysis of MHD flow with radiation, Soret, and Dufour effects as well as viscous dissipation across a convective surface during triple diffusion

The dynamics of an incompressible, triple-diffusive medium flowing across a linearly stretched surface are examined in this study, taking into account the effects of radiation, viscous dissipation, magnetohydrodynamics (MHD), and the Boussinesq approximation. The work uses simulations to investigate how the combined effects of Soret (thermal-diffusion) and Dufour (diffusion-thermo) phenomena interact with MHD restrictions. Using the Lie-group transformation approach, the goal is to find symmetry reductions in the governing partial differential equations. The method of Runge-Kutta shooting is used to solve the modified system of equations. To show the effects of key factors, such as the buoyancy ratio and magnetic field parameters, a visual analysis is performed. The results show that for both fluid flow scenarios, a rise in the magnetic field parameter causes a drop in the velocity profile, with velocity gradients decreasing by a good percentage. Similar to this, changes in the buoyancy ratio factors cause notable adjustments to the distributions of salt concentrations. When the magnetic parameter varies, the Nusselt number decreases approximately 14.29 %. While interesting behavior is depicted in triple diffusion scenarios, the Nusselt number increase approximately 9.52%. when values of soret effect Sr varies, the percentage of Sherwood number Shr in double diffusion decreases by 40% whereas in triple diffusion the Sherwood number increase interestingly about 33.33%. The precision and dependability of the conclusions are verified by contrasting the simulation results with previously published research.

Numerical exploration of electroosmotically regulated squeezing rotating flow of TiO2/water nanofluid in a parallel plate channel under triple diffusion convection

The basic motive of this article gives a rudimentary insight into the triple diffusive convective flow of ionic aqueous solution-based titanium dioxide (TiO2) nanofluid amidst two rotating parallel plates. The lower plate is stationary and permeable, allowing the lateral suction/injection of the fluid, while the upper plate is impermeable and moves towards the lower plate. The fluid flow is explored under the simultaneous implementation of electric and magnetic forces. The presence of axial electric force across the plates with an ionic solution between them generates the electroosmotic phenomenon. The Oberbeck-Boussinesq approximation is utilized to include the solutal buoyancy forces occurring due to the concentration gradient of two different solutes. The appropriate similarity transformation is used to reform the governing equations which are resolved using the built-in numerical solver bvp4c of MATLAB. The computations reveal that velocity in the case of injective flow is larger than in the case of suction through the bottom plate. The forwarding electric field contributes to the primary velocity profile at the lower plate while velocity declines near the top plate. For solutes 1 and 2, the modified Dufour number and Dufour Lewis numbers have an opposing effect on the Nusselt number at the lower and upper plates.

A tripe diffusion bioconvective model for thixotropic nanofluid with applications of induced magnetic field

Owing to enhanced thermal characteristics of nanomaterials, multidisciplinary applications of such particles have been utilized in the industrial and engineering processes, chemical systems, solar energy, extrusion processes, nuclear systems etc. The aim of current work is to suggests the thermal performances of thixotropic nanofluid with interaction of magnetic force. The suspension of microorganisms in thixotropic nanofluid is assumed. The investigation is further supported with the triple diffusion flow. The motivations for considering the triple diffusion phenomenon are associated to attaining more thermal applications. The flow pattern is subject to novel stagnation point flow. The convective thermal constraints are incorporated. The modeled problem is numerically evaluated by using shooting technique. Different consequences of physical parameters involving the problem are graphically attributed. The insight analysis is presented for proposed problem with different engineering applications. It is claimed that induced magnetic field enhanced due to magnetic parameter while declining results are observed for thixotropic parameter. The heat transfer enhances due to variation of Dufour number. Furthermore, low profile of nanoparticles concentration has been observed for thixotropic parameter and nano-Lewis number.

Modeling and analysis of the triple diffusion unsteady flow of couple stress nanofluid with variable viscosity and distinct thermal sources

Thanks to their optimal thermal characteristics, nanomaterials stand out for their varied applications in heat transfer systems, energy storage, industrial processes, and biomedical research. Recently, scientists explored various dynamic properties in nanofluid flow to develop an even better thermal model. In this context, the phenomenon of triple diffusion in nanofluids constitutes an active area of research, offering promising applications in nanotechnology, metallurgical processes, chemical reactors, and thermo-diffusion processes. This paper analyzes the triple diffusion flow of a torque-constrained nanofluid, induced by a periodically oscillating porous surface, taking into account the importance of variations in thermal consequences. The viscosity of the torque-constrained nanofluid is assumed to be temperature-dependent. The analysis takes into account the variable role of thermal conductivity, mass diffusivity, and solute volume fraction. The modeling of the problem is expressed by coupled nonlinear partial differential equations. The semi-analytic technique, known as the homotopic analysis scheme, is used for resolution. The solution is validated and confirms the convergence region. The physical aspects of the parameters are examined with regard to the parameters involved. The simulated observations reveal that with the Dufour–Lewis factor and varying mass diffusivity, an increase in solute concentration is seen. The concentration of nanoparticles decreases with the nano-Lewis number.

Enhancement of heat transfer due to nonlinear radiative Burgers nanofluid with triple diffusion and heat source effects

This investigation predicts the assessment of mass and heat transfer due to Burgers nanofluid. The investigation is further supported by triple diffusion flow. Variable thermal conductivity is accounted to endorse the thermal flow. In the heat equation, the extension is suggested by utilizing the external heat source and nonlinear radiated phenomenon. Computations for modeled problems are achieved by the shooting method. The fundamental role of parameters governing flow is noticed which is physically attributed. It is observed that the heat transfer rate is enhanced due to the modified Dufour number. The solutal concentration declined for the regular Lewis number. Furthermore, the nanoparticles concentration reduces due to the nano-Lewis number. The depicted results convey novel applications in chemical processes, cooling control systems, refrigeration, solar energy, extrusion processes, etc.

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.

Relaxation analysis and entropy simulation of triple diffusive slip effect on magnetically driven Casson fluid flow

ABSTRACT In this article, we explore a novel numerical solution of a triple diffusive flow of Casson fluid taking slip boundary condition on a stretching sheet along with suction and magnetic field effects. Total entropy generation in flow of viscous fluid under coupling effects of concentrations of two heterogeneous salts () is evaluated by different Bejan numbers. Magnetic Bejan number and mass Bejan number have been defined for the estimation of novel irreversibilities due to salts’ concentrations and magnetic retardation over the non-linearly stretching sheet. Order reduction and then finite difference techniques are employed on system of equations thus obtained. Persuasive iterative scheme, successive over relaxation method, encoded via MATLAB has been utilized to numerically simulate discretised system of ordinary differential equations. Significant impacts of prime parameters on entropy generation rate and different Bejan numbers are physically interpreted through graphs for both linear as well as non-linear stretching cases. Magnetic force tends to decrease the entropy generation rate while enhances the magnetic Bejan number considerably. Entropy generation rate in triple diffusion is higher than double diffusion. Outcomes may be useful in automobiles industries, waste-water treatment, petroleum industries, food processing mills and mechanical systems under controlled conditions.

Bioconvective periodic MHD Eyring-Powell fluid flow around a rotating cone: Influence of multiple diffusions and oxytactic microorganisms

Investigating the effects of periodic magnetic field and triple diffusion on bioconvection flow through a rotating cone populated by oxytactic bacteria and an Eyring-Powell fluid is innovative and significant. The magneto-bioconvection flow of an Eyring-Powell multi-diffusive fluid across a spinning cone is investigated in this paper, considering the effect of oxytactic microorganisms. The non-similar technique is used in the mathematical analysis of the flow over a spinning cone. The flow under consideration contains two diffusive species: liquid hydrogen and liquid oxygen. In light of the periodic magnetic field, the surface gradients, notably skin friction, exhibit wavy effects in the boundary layer domain. The governing equations for the fluid flow in the current flow problem, accompanied by heat diffusion, species diffusion, rotation, bioconvection, and periodic magnetic, are highly coupled nonlinear PDEs dependent on the proper initial and boundary conditions. Mangler's transformations convert them into non-dimensional forms, and numerical non-similar solutions are produced using implicit finite difference approximation and quasi-linearisation. The enriching values of bioconvective Rayleigh number Rb decline the velocity F, as a result, lessen the friction between the surrounding fluid and the cone's surface. The improving Peclet number Pe and microbial density difference σ reduced the microorganism density profile and heightened the microorganism density number Re-1/2Nn.

Successive over relaxation (SOR) methodology for convective triply diffusive magnetic flowing via a porous horizontal plate with diverse irreversibilities

Entropy generation and triple diffusive convection is not explored yet taking the combined effects of suction and magnetohydrodynamic in a flow through porous medium. Irreversibility in mass diffusivity due to magnetic field has substantial effects on mass and heat transport rate. A novel model obeying Darcy law and Boussinesq approximation is developed for the entropy generation analysis under the influence of coupling effects of concentrations of two heterogeneous salts in the flow of a Newtonian fluid. Magnetic Bejan number and mass Bejan number have been defined for the estimation of novel irreversibilities due to salts’ concentrations and magnetic retardation. Governing equations are transformed by employing similarity variables; the dimensionless system thus obtained is discretized by the finite differences and, then simulated numerically via Successive over Relaxation (SOR) methodology. It’s worth noting that suction at the surface along with magnetic force and porosity tends to decrease local as well as surface entropy generation rates and also the novel magnetic Bejan number considerably. Furthermore, entropy generation rate in triple diffusion is higher than double diffusion.

Analysis of an unsteady triple diffusion through quadratic Boussinesq approximation from a rotating cone in a rotating fluid

Analysis of an unsteady triple diffusion through quadratic Boussinesq approximation from a rotating cone in a rotating fluid

Entropy generation analysis from the time-dependent quadratic combined convective flow with multiple diffusions and nonlinear thermal radiation

Diffusions of multiple components have numerous applications such as underground water flow, pollutant movement, stratospheric warming, and food processing. Particularly, liquid hydrogen is used in the cooling process of the aeroplane. Further, liquid nitrogen can find applications in cooling equipment or electronic devices, i.e ., high temperature superconducting (HTS) cables. So, herein, we have analysed the entropy generation (EG), nonlinear thermal radiation and unsteady (time-dependent) nature of the flow on quadratic combined convective flow over a permeable slender cylinder with diffusions of liquid hydrogen and nitrogen. The governing equations for flow and heat transfer characteristics are expressed in terms of nonlinear coupled partial differential equations. The solutions of these equations are attempted numerically by employing the quasilinearization technique with the implicit finite difference approximation. It is found that EG is minimum for double diffusion (liquid hydrogen and heat diffusion) than triple diffusion (diffusion of liquid hydrogen, nitrogen and heat). The enhancing values of the radiation parameter R d and temperature ratio θ w augment the fluid temperature for steady and unsteady cases as well as the local Nusselt number. Because, the fluid absorbs the heat energy released due to radiation, and in turn releases the heat energy from the cylinder to the surrounding surface.

Water adsorption kinetics of silica based porous desiccants by volumetric method

The adsorption kinetics of solid desiccants is critical for the design and optimal operation of air-conditioning systems. However, owing to the complex combination of diffusion processes in the interparticle layer and intraparticle mesopores/micropores, adequately illustrating the adsorption kinetics of solid desiccants is difficult. In this study, the adsorption kinetics of a microsphere silica gel bead was investigated using the volumetric method in a limited batch adsorption system. An analytical solution was adopted for the biporous diffusion model to obtain the effective mesopore diffusivity. A comprehensive diffusion model was developed based on the initial estimation by the analytical solution. The model, i.e., the triple diffusion resistance model that includes three transport resistances, viz., interparticle, mesopore, and micropore resistance was subsequently validated through an experiment. The results show that the rate-limiting step in the entire diffusion and adsorption process changes from intraparticle to interparticle diffusion with increasing sample mass. The proposed model considering the effect of interparticle diffusion successfully determines the effective mesopore diffusivity for each sample mass.

High heterogeneous compatibility of HfB2-SiC ceramic and Zr-4 alloy with in-situ assembled interface

HfB2-based ceramics, such as HfB2-SiC, are promising materials of neutron control rods. Under nuclear conditions, the interfacial compatibility between the HfB2-SiC control rod and the guide tube (made of Zr-4 alloy) is critical in the operation. The present study demonstrated the high compatibility of the two heterogeneous materials even at 1400 °C. The formation of an in-situ assembled triple diffusion layer with stable phases and dense structures largely improved the interface compatibility. In addition, the as-produced phases with unique microstructures were organized at the interface. ZrSi formed typical columnar crystals with strong [001] fiber texture, which extended in the direction favorable to the interface. ZrB2 grains grew as needle shapes and entered the Zr-4 alloy substrate. These unique morphologies clearly revealed an interface with strong stability and high compatibility. The results provide the basis for the application of HfB2-based ceramics in nuclear infrastructures.

The unsteady nonlinear convective flow of a nanofluid due to impulsive motion: Triple diffusion and magnetic effects

• The unsteady nonlinear convection due to impulsive motion is investigated. • Governing equations have been transformed using Mangler's transformations. • Quasi-linearization technique is utilized for solution of the problem. • The surface drag coefficient increases with magnetic parameter. • Heat transport rate rises only when the Eckert number is positive. By a semi-similar approach, the paper aims to study the unsteady nonlinear convection due to impulsive motion with triple diffusion and magnetic effects. Since the mainstream has been set into impulsive motion, the fluid motion is unsteady. Simultaneously, the temperature of the surface is abruptly changed from its ambient fluid temperature. The influence of chemical reactions and convective boundary constraints are also considered in this investigation. The nonlinear coupled partial differential equations (PDEs) with appropriate boundary conditions that govern the given problem are transformed into dimensionless equations by using Mangler's transformations. For mathematical computations, the technique of Quasi-linearization and second order implicit finite difference method are utilized, and so obtained results are semi-similar solutions that are discussed with the aid of graphs. The results reveal that for the case of aiding buoyancy, the surface drag coefficient increases about 5% when the nonlinear convection parameter increases from 0 to 3 and about 61% when the magnetic parameter increases from 0 to 0.5. The heat transfer rate enhances about 65% for variation of the magnetic parameter from 0 to 0.3 for a positive Eckert number. The mass transfer rate is pronounced more for linear chemical reaction than the nonlinear chemical reaction for the constructive chemical reaction parameter. It is found at about 7% for Schmidt number 240. The current findings are compared to previously reported literature and are found to be in good agreement.

A numerical study on MHD triple diffusion mixed convective flow over a yawed cylinder

A numerical study on MHD triple diffusion mixed convective flow over a yawed cylinder

LTNE Effects on Triple-Diffusive Convection in Nanofluids

Abstract Triple-diffusive convection for nanofluids in which differences in density are derived because of triple diffusion process, i.e., with three diffusing components: nanoparticles, solute, and heat, using more realistic two temperature model with separate thermal energy equations for the two phases of the considered nanofluid has been investigated by making use of the method of superposition and one term Galerkin technique. A complex system with local thermal non-equilibrium (LTNE) effects along with the Brownian motions and thermophoresis to account for nanoparticles has been considered. The problem is solved for top-heavy arrangement of nanoparticles leading to stationary mode of convection and numerical computations are carried out by using Mathematica software. An additional solute concentration equation supplements the conservation equations due to the existence of solute, which introduces two additional nondimensional parameters, whereas three additional parameters came into existence due to the consideration of LTNE effects. The critical Rayleigh number remains constant for smaller values of interphase heat transfer parameter, whereas it diminishes for the intermediate range and approaches to constant value for higher ranges of the parameters. What all this means is that only the intermediate range of Nield parameter shows stabilizing/destabilizing effects. Interestingly, the additional parameters Lewis number and solute Rayleigh number enhance the effect of destabilization of considered nanofluid layer.

Cattaneo–Christov model for triple diffusive natural convection flows over horizontal plate with entropy analysis embedded in porous regime

This research interprets the features of triple diffusion in naturally convected viscous material flow through a horizontal plate embedded in a porous regime. The heat and mass transmission process is evaluated by the implication of Cattaneo and Christov (CC) models of energy and mass diffusions. Entropy analysis is executed with the help of the second law of thermodynamics. The homogeneous and local thermal equilibrium is assumed for porous medium. The physically modeled expressions are reframed into an ordinary differential system. This re-structured system of expressions is computed numerically by the implication of the Runge–Kutta Fehlberg method. The computed solutions are visualized graphically and in numeric forms. The validation of present solutions is reported by the comparative benchmark with already available results in a limiting sense. It is evident that the opposing and assisting flows show higher entropy generation at the convective wall. An increment in surface entropy generation rate is achieved for higher thermal and solutal relaxation times.

Quadratic mixed convective nanofluid flow past a moving yawed cylinder in the presence of thermal radiation and diffusive liquids

AbstractThe fluid flow around a yawed cylinder helps to understand the practical implications for undersea applications, such as managing transference, separating the boundary layer above submerged blocks, and suppressing recirculating bubbles. As many authors such as Roy, Chiu and Lienhard, Roy and Saikrishnan, and Revathi et al. have analyzed a boundary layer flow over a yawed cylinder, and their work sticks to only forced convection, we are interested to work on mixed convection flow. Therefore, the work of these researchers has stimulated us to work on the present article. As a result, we have examined the work on triple diffusion quadratic mixed convective nanofluid flow over a moving yawed cylinder. The impact of yaw angle, which exists due to the inclination of a vertically moving cylinder away from the origin, is mathematically investigated in the present paper by converting the governing equations into a compatible form using appropriate nonsimilar transformations and the quasilinearization technique. Nanofluids have crucial usages in science and technology, marine engineering, and applications in industries such as plastic, polymer industries, cancer home therapy, and building sciences. Many processes in new engineering areas occur at high temperatures, and knowledge of radiation heat transfer becomes very important for designing the pertinent equipment. Nuclear power plants, gas turbines, and the various propulsion devices for aircraft, missiles, satellites, and space vehicles are examples of such engineering areas. The finite difference approximation is employed to solve the resulting equations. Enhancing the magnitude of thermal radiation enhances the temperature of the liquid and the energy transport strength. However, liquid hydrogen and liquid oxygen species concentration patterns are reduced in nanofluid compared to traditional liquids. At the same time, the outcomes behave conversely in the case of their wall gradients. Furthermore, the temperature of the liquid enhances the enhancing values of Brownian motion and thermophoresis characteristics. Moreover, nanoparticle mass transport augments with enhancing yaw angle and Lewis number values. Both species' concentration profiles decrease for increasing values of yaw angle. The velocity profiles increase for increasing values of velocity ratio parameter in the spanwise and chordwise directions.