Mass Transpiration Research Articles

An Effect of Mass Transpiration and Darcy–Brinkman Model on Ostwald–de Waele Ternary Nanofluid

An Effect of Mass Transpiration and Darcy–Brinkman Model on Ostwald–de Waele Ternary Nanofluid

Computational and artificial neural network study on ternary nanofluid flow with heat and mass transfer with magnetohydrodynamics and mass transpiration

Computational and artificial neural network study on ternary nanofluid flow with heat and mass transfer with magnetohydrodynamics and mass transpiration

Linear stability analysis of micropolar nanofluid flow across the accelerated surface with inclined magnetic field

PurposeThe purpose of this paper is to study the two-dimensional micropolar fluid flow with conjugate heat transfer and mass transpiration. The considered nanofluid has graphene nanoparticles.Design/methodology/approachGoverning nonlinear partial differential equations are converted to nonlinear ordinary differential equations by similarity transformation. Then, to analyze the flow, the authors derive the dual solutions to the flow problem. Biot number and radiation effect are included in the energy equation. The momentum equation was solved by using boundary conditions, and the temperature equation solved by using hypergeometric series solutions. Nusselt numbers and skin friction coefficients are calculated as functions of the Reynolds number. Further, the problem is governed by other parameters, namely, the magnetic parameter, radiation parameter, Prandtl number and mass transpiration. Graphene nanofluids have shown promising thermal conductivity enhancements due to the high thermal conductivity of graphene and have a wide range of applications affecting the thermal boundary layer and serve as coolants and thermal management systems in electronics or as heat transfer fluids in various industrial processes.FindingsResults show that increasing the magnetic field decreases the momentum and increases thermal radiation. The heat source/sink parameter increases the thermal boundary layer. Increasing the volume fraction decreases the velocity profile and increases the temperature. Increasing the Eringen parameter increases the momentum of the fluid flow. Applications are found in the extrusion of polymer sheets, films and sheets, the manufacturing of plastic wires, the fabrication of fibers and the growth of crystals, among others. Heat sources/sinks are commonly used in electronic devices to transfer the heat generated by high-power semiconductor devices such as power transistors and optoelectronics such as lasers and light-emitting diodes to a fluid medium, thermal radiation on the fluid flow used in spectroscopy to study the properties of materials and also used in thermal imaging to capture and display the infrared radiation emitted by objects.Originality/valueMicropolar fluid flow across stretching/shrinking surfaces is examined. Biot number and radiation effects are included in the energy equation. An increase in the volume fraction decreases the momentum boundary layer thickness. Nusselt numbers and skin friction coefficients are presented versus Reynolds numbers. A dual solution is obtained for a shrinking surface.

Two-phase numerical simulation of thermal and solutal transport of zero mass flux conditions over a porous deformable disc: The extension of Jeffrey-Hamel model

In recent times, numerous assertions on the thermophysical properties of nanoliquids in various flow regimes, particularly the laminar flow regimes have been documented in the literature. With this focus, this theoretical investigation is to explore multiple solutions of the laminar two-dimensional Jeffrey fluid describing the Buongiorno nanofluid model and features of heat transport near a stagnation point across a movable radial disc. Also, the study seeks to explore the effects of zero mass flux and velocity of mass transpiration embedded within a Jeffrey fluid. With the help of the ansatz similarity transformations, the study simplifies complex partial differential equations into a set of ordinary differential equations, facilitating numerical dual solutions employing the bvp4c solver. The multiple solutions become apparent in a specific range of the shrinkable parameter. The results of the present study show that the suction parameter intensifies the phenomena of friction factor in the upper solution, whereas an annulment trend is observed in the lower solution. In addition, the shear stress and heat transfer rate decline with higher impacts of the Deborah number for the first solution while a monotonical behaviour is seen for the second solution. Besides, the absolute critical value decreases owing to the change value of the Deborah number, as a result, the separation of the boundary layer accelerates. Moreover, the heat transfer rate declined by about 0.29%, 0.37%, and 0.28% for the FBS and 0.30%, 0.32%, and 0.28% for the SBS with larger values of Nta, Nba and Sca, respectively. Lastly, the outcomes of the present examination with existing data are an excellent match for the limiting cases.

Darcy–Brinkman model for Boussinesq–Stokes suspension tetra dusty nanofluid flow over stretching/shrinking sheet with suction/injection

This study examines the Darcy–Brinkman model for 2-D magnetohydrodynamic fluid flow across porous stretching/shrinking surfaces. We consider water as a traditional base fluid in which the Al2O3, Silver (Ag), Titanium dioxide (TiO2 ), and Gold (Au) nanoparticles are submerged in preparation of a tetra-dusty nanofluid. The novelty of the present problem is to examine the influence of Boussinesq-Stokes suspension tetra dusty nanofluid flow with the Darcy–Brinkman model. The governing nonlinear partial differential equations are transferred to a set of ordinary differential equations through suitable similarity conversions. The methodology, the governing equations of fluid and dusty phases is transformed into nonlinear ODEs using similarity transformations. The findings demonstrate that the tetra nanofluid phase heat and mass transpiration performance is greater compared to the dusty phase. Developing tetra dusty nanofluid has significantly upsurged the heat transmission for manufacturing with numerous applications in engineering, biological, and physical sciences.

Correction: Impact of MHD and Mass Transpiration on Rivlin–Ericksen Liquid Flow over a Stretching Sheet in a Porous Media with Thermal Communication

Correction: Impact of MHD and Mass Transpiration on Rivlin–Ericksen Liquid Flow over a Stretching Sheet in a Porous Media with Thermal Communication

Darcy–Brinkman Model for Ternary Dusty Nanofluid Flow across Stretching/Shrinking Surface with Suction/Injection

Understanding of dusty fluids for different Brinkman numbers in porous media is limited. This study examines the Darcy–Brinkman model for two-dimensional magneto-hydrodynamic fluid flow across permeable stretching/shrinking surfaces with heat transfer. Water was considered as a conventional base fluid in which the copper (Cu), silver (Ag), and titanium dioxide (TiO2) nanoparticles were submerged in a preparation of a ternary dusty nanofluid. The governing nonlinear partial differential equations are converted to ordinary differential equations through suitable similarity conversions. Under radiation and mass transpiration, analytical solutions for stretching sheets/shrinking sheets are obtained. Several parameters are investigated, including the magnetic field, Darcy–Brinkman model, solution domain, and inverse Darcy number. The outcomes of the present article reveal that increasing the Brinkman number and inverse Darcy number decreases the velocity of the fluid and dusty phase. Increasing the magnetic field decreases the momentum of the boundary layer. Ternary dusty nanofluids have significantly improved the heat transmission process for manufacturing with applications in engineering, and biological and physical sciences. The findings of this study demonstrate that the ternary nanofluid phase’s heat and mass transpiration performance is better than the dusty phase’s performance.

Comment on Vishalakshi et al. MHD Hybrid Nanofluid Flow over a Stretching/Shrinking Sheet with Skin Friction: Effects of Radiation and Mass Transpiration. Magnetochemistry 2023, 9, 118

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An MHD nanofluid flow with Marangoni laminar boundary layer over a porous medium with heat and mass transfer

ABSTRACT The current work considers two-dimensional incompressible fluid flow with heat transfer over a porous medium with mass transpiration and Marangoni boundary condition. The nanoparticles of graphene are mixed in water to improve thermal efficiency. It behaves as a heater upon increasing its solid volume fraction, Eckert number, and as a cooler upon increasing suction. This flow has remarkable interest due to its applications in glues, silicon wafers, heat exchangers, paints, crystal growth in space, etc. The ordinary differential equations (ODEs) are obtained from the considered partial differential equations (PDEs) using similarity transformation technique. Then the solutions are analytically recovered from the system of ODEs. The solutions of temperature and concentration fields are obtained in terms of Laguerre polynomial. The impacts of different parameters, such as Marangoni number, inverse Darcy number, Prandtl number, and Eckert number are analysed using graphical observations. Specially mentioned is Marangoni convection, which contains many industrial and engineering applications such as in nanotechnology, atomic reactors, soap films, semiconductor processing, and atomic reactors. This work adds the effect of graphene water nanofluid which enhance the thermal efficiency in a better way than the base fluid and explains the physical problem on the basis of chemically radiative Marangoni flow.

An impact of ternary nanofluid on a micropolar fluid with inclined MHD, slip flow and heat transfer

PurposeThe purpose of this study is to analyze the impact of inclined magnetohydrodynamics (MHD) and thermal radiation on the flow of a ternary micropolar nanofluid on a sheet that is expanding and contracting while applying mass transpiration and velocity slip conditions to the flow. The nanofluid, which is composed of Au, Ag and Cu nanoparticles dispersed in water as the base fluid, possesses critical properties for increasing the heat transfer rate and is frequently used in manufacturing and industrial establishments.Design/methodology/approachThe set of governing nonlinear partial differential equations is transformed into a set of nonlinear ordinary differential equations. The outcome of this differential equation is solved and obtained the closed-form solution and energy equation in the form of hypergeometric functions.FindingsThe velocity, micro-rotation and temperature field are investigated versus a parametric variation. The physical domains of mass suction or injection and micropolar characteristics play an important role in specifying the presence, singleness and multiplanes of exact solutions. In addition, many nondimensional characteristics of the profiles of temperature, angular velocity and velocity profiles are graphically shown with substantial consequences. Furthermore, adding nanoparticles increases the heat transfer rate of the fluid used in manufacturing and industrial establishments. The current findings may be used for better oil recovery procedures, smart materials such as magnetorheological fluids, targeted medicine administration and increased heat transmission. Concerning environmental cleanup, nanomaterial fabrication and biomedical devices, demonstrate their potential influence in a variety of disciplines.Originality/valueThe originality of this paper is to analyze the impact of inclined MHD at an angle with the ternary nanofluid on a micropolar fluid over an expanding and contracting sheet with thermal radiation effect.

Darcy-Forchheimer flow of Ag–ZnO–CoFe2O4/H2O Casson ternary hybrid nanofluid induced by a rotatory disk with EMHD

This study comprehensively inspects the steady, three-dimensional electromagnetohydrodynamics Darcy-Forchheimer slip flow upon a Casson ternary hybrid nanofluid through a porous rotatory disk. The study plunges into the repercussions of key factors namely thermophoresis, chemical reaction, viscous dissipation, Brownian movement, thermal radiation, and activation energy attributes of the ternary hybrid nanofluid. The current endeavour is inspired by the flourishing requirement in several energy-related and industrial applications. A mathematical configuration is formed to express the fluid flow system and heat and nanoparticle mass transpiration processes. Then partial differential equations administrating our mathematical model, are reformed into ordinary differential equations with the assistance of specific similarity conversions and eventually interpreted numerically using the noteworthy bvp4c scheme. The consequences of discrete flow factors upon temperature, concentration, and velocity profiles and Nusselt number, skin friction’s coefficient, and Sherwood number are investigated. The achieved outcomes disclose the electric parameter aids in upgrading the tangential velocity and temperature profiles. The outcomes reveal that for Casson ternary hybrid nanofluid, the heat and mass transpiration rates elevate by 19.23% and 51.28%, respectively, compared to Casson nanofluid whereas skin friction coefficient is retrogressed by approximately 8.96% for Casson ternary hybrid nanofluid compared to ternary hybrid nanofluid.

HIEMENZ STAGNATION POINT FLOW OF A TERNARY NANOFLUID AND HEAT TRANSFER DUE TO POROUS STRETCHING/SHRINKING SHEET WITH BRINKMAN MODEL

The role of the Brinkman model is analyzed in the current work by taking the flow of ternary hybrid nanofluids with heat transfer in the presence of radiation and mass transpiration. The ordinary differential equations (ODEs) are yielded from the partial differential equations (PDEs) by using similarity variables. This flow is used in many real life significances viz., glass blowing, petroleum products, polymer extrusion, and so on. The role of the Brinkman model and radiation is used in velocity and heat equations. These equations are solved exactly to get a solution domain and confluent hypergeometric equation. Three types of nanoparticles, namely Al<sub>2</sub>O<sub>3</sub>, single wall carbon nanotubes, and graphene are inserted in the flow to enhance thermal efficiency. Additionally, dual behavior is seen in the instance of the shrinking sheet. Also, a unique solution is observed at the stretching sheet case. The novelty of the current analysis explains the stagnation point flow by considering the effect of the Brinkman model in the presence of ternary nanoparticles. By using these nanoparticles, the main goal of the current work is achieved. It includes the effect of the Brinkman model on ternary nanofluids, and the comparison between three nanoparticles can be achieved. The results of various parameters viz., solid volume fractions, mass transpiration, radiation, Brinkman number, porous medium parameter, and heat source/sink parameter can be examined with the help of graphical arrangements. At the end, we conclude the important outcomes as the solution domain value decays on rising values of porous medium parameter and mass transpiration values rise on increaing values of the solution domain.

A NANOFLUID COUPLE STRESS FLOW DUE TO POROUS STRETCHING AND SHRINKING SHEET WITH HEAT TRANSFER

The analysis of current work portrays the exact solution of couple stress fluid flow with heat transfer. Three varieties of nanoparticles are placed inside the flow to achieve better thermal conductivity. A porous sheet inside the fluid flow is considered to yield new results of the study. With the use of similarity variables, the controlling partial differential equations of the issue are converted into ordinary differential equations. Analytical analysis is used to determine the domain and solution of the momentum and energy equations in terms of the Laguerre polynomial. In addition, skin friction and Nusselt number are also verified using nondimensional different controlling parameters, such as thermal radiation, the couple stress fluid parameter, solid volume fractions, mass transpiration, and so on, to verify the results of this work. The present work is very good argument with a previously published paper, and it also covers many industrial applications, namely entropy generation, polymer production, automotive cooling systems, and microelectronics.

Stability scrutinization and model development for mixed convective non-Newtonian hybrid nanomaterial flow in thermal system over a vertical shrinking surface

The development of a better extremely high-efficiency coolant classified as nanofluid for numerous engineering and industrial technologies has been made possible by recent advancements in nanotechnology. In this work, we investigate the impression of an irregular heat generation or heat absorption on the improvement of heat transfer of Williamson hybrid nanoparticles composed of water-based Ag and MgO over a porous surface that is shrinking and stretching. The assisting and opposing flows are also provoked. The non-linear model based on differential equations is derived and numerically handled via a bvp4c process based on some reasonable assumptions. In an appropriate region of mixed convection, mass transpiration velocity, and shrinking surface characteristics, two dissimilar branch outcomes are discovered with the change of the influential parameters. In addition, the analysis of the temporal stability to moderate disruptions is executed on these multiple solutions. It is also discovered that whereas the lower solution is unstable with negative lowest eigenvalues, the upper solution is stable and essentially realistic. In addition, the friction factor and the rate of heat transfer rose by nearly 0.129% and 0.039% for the upper branch solution for superior nanoparticle volume fraction, respectively, and decreases by nearly 0.101% and 0.044% for the lower branch solution. Moreover, the outlines of temperature escalates due to the heat source and decelerates due to the heat sink. Finally, the present fallouts are assessed with the prior findings in a specific case to demonstrate the correctness of the existing technique. This study has a wide range of intriguing applications like heating and cooling systems, geothermal energy plants, aerodynamics, and the manufacture of gate disc valves, etc.

An effects of mass transpiration and inclined MHD on nanoboundary layer of an ostwald-de waele fluid due to a shrinking boundary

This paper examines the power-law nanofluid flows due to a shrinking sheet with mass transpiration under inclined MHD. The governing partial differential equations are similarly transformed into nonlinear ordinary differential equations and solved analytically. The mathematical model through analytical solutions graphically shows that the flow's dynamics depending on the Chandraselhar number, mass transpiration, nanofluid and inclined angle parameters. The main findings and methods of the present work includes the closed-form exact solutions are examined for some special cases and one of them is an algebraic solution. Specific and quantitative analytical solutions provide important understanding to the boundary layer flow for power-law nanofluid. The present study reveals that the magnetic field significantly increases the magnitude of the skin friction and mass transpiration. Cu-H2O nanofluid is used to examine the entaire calculation. Nanofluids are suspensions of nanoparticles in fluids that show significant enhancement of their properties at modest nanoparticle concentration.

An influence of radiation and magnetohydrodynamic flow of hybrid nanofluid past a stretching/shrinking sheet with mass transpiration

AbstractThis research focuses on energy convention and mass transpiration in magnetohydrodynamic hybrid nanofluid (Al2O3–Cu) flows driven by a moving surface, which build numerous applications such as inducing hypothermia in cancer tumors, reducing bleeding in severe injuries, and performing magnetic resonance imaging are only a few medical applications applying magnetohydrodynamics A similarity transformation describes the representational construction of the steady two‐dimensional nonlinear partial differential equations (PDEs) to a set of nonlinear ordinary differential equations (ODEs). Above equations subject to corresponding boundary conditions are analytically solved. Specifically, the energy equation with radiation effect is solved analytically using incomplete Gamma function. Moreover, the graphs included physical representations of the measurement can be found in this paper. In summary, our findings demonstrate that mass‐transfer induced slip has a non‐negligible impact on flows driven by a moving sheet. Mass transfer induced slip may even be able to dominate the flow driven effect of the moving sheet by changing the flow directions to flow against the sheet motion and also thermal radiation parameter increases as thermal boundary layer increases.

Impact of Navier’s slip and MHD on laminar boundary layer flow with heat transfer for non-Newtonian nanofluid over a porous media

The current studies analytically summarize the impact of magnetohydrodynamic and thermal radiation on the non-Newtonian continuous uniform motion of viscid non-compressible nanofluid across a penetrable stretching/shrinking sheet, even though accomplish Navier's first and second order slips along mass transpiration. Blood-bearing silver and copper nanomaterials have distinct flow and heat transfer properties when exposed to heat. Silver (Ag) as well as copper (Cu) nanoparticles are assumed to be present in blood as the non-Newtonian liquid; this fluid serves as the base. We anticipate that the current study will be useful in fields including food, petrochemical products, and medicines, as well as blood circulation, and highly beneficial for patients who are dealing with blood clotting in the uterus, which may result in infertility or cancer, to evaluate the blood flow in the tube. Employing the similarity conversion technique, the ruling partial differential equations are modified into a couple of non-linear ordinary differential equations. Then the transformed ordinary differential equations are analytically solved with the Laplace transformation and expressed in terms of an incomplete gamma function. The current analytical results are compared to previous studies. It is addressed how several physical features such as magnetic field M, Navier’s first and second order slip, permeability, Prandtl number Pr, and radiation parameter affect non-dimensional velocity as well as temperature patterns through graphs. The results obtained reveal that there is an enhancement in the rate of heat transfer with the rise in nanoparticle volume fraction and radiation. The temperature distribution is also influenced by the presence of Prandtl numbers, radiation, solid volume fraction, permeability, and slip conditions. This shows that the solid volume fraction of nanoparticles can be used to control the behaviour of heat transfer and nanofluid flows.

Micropolar Fluid Flow Through a Porous Stretching/Shrinking Sheet with Mass Transpiration: An Analytical Approach

In this paper, the flow of a micropolar fluid over a stretching or shrinking sheet is investigated under magnetohydrodynamic (MHD) conditions. Such a flow is described by highly nonlinear PDEs. Using the similarity transformation technique, the PDEs governing the flow are reduced to a system of nonlinear ODEs, which further allows a closed-form analytical solution. The effect of the microrotation on the skin friction coefficient, the dimensionless forms of the velocity, and the temperature flow fields in the neighborhood of the stretching or shrinking sheet are discussed for various combinations of the dimensionless parameters. The numerical results reveal that the micropolar flow may accelerate or deaccelerate depending upon the numerical values of the mass transpiration and the permeability of the porous sheet. An increase in the tangential and the angular flow velocities is found to occur with an increase in the microrotation. Further, it is observed that the increase in the microrotation increases the skin friction coefficient.

An exact solution for two-dimensional laminar boundary layer flows in porous media under stretching/shrinking boundary with power-law velocity

BackgroundThe boundary layer flow past stretching/shrinking sheet is widely discussed due to their significance in chemical and engineering applications. A class of laminar boundary layer flows driven by a permeable stretching/shrinking boundary with power-law velocities is under investigation as well as in the presence of mass transpiration and Darcy-Brinkman porous media. Problem sectionThe fluid flow modelled into coupled highly non-linear partial differential equations and these are mapped into nonlinear ordinary differential equations via similarity transformations, which as a consequence are analytically solved. Significant findingsThe domain of solution so derived is a function of mass transpiration, stretching/shrinking boundary, Brinkman viscosity ratio and power-law index. The associated nonlinear equations exhibit lower- and upper-branch solutions that reveal very interesting axial and transverse profiles for various physical parameters under different cases of power-law indices. The boundary-layer effect of various power-law indices over the moving surface is thoroughly revisited in the present study to include the influence of mass transpiration and porous media. In the mass suction case, velocity is a monotonically decreasing function and highest velocity happens at the wall. In the mass injection case, the highest velocity does happen in the fluid region.

Consequences of mass transpiration and thermal radiation on Jeffery fluid with nanofluid

The present work is focused on the stagnation point flow over a Jeffery fluid flow through a stretching/shrinking sheet. The nanoparticles namely Cu are considered by exploiting water-based fluid. The governing nonlinear system of partial differential equations is converted into a system of highly nonlinear ordinary differential equations via a similarity transformation. Therefore, it is quite significant to assimilate the analytical extension of heat transfer and mass transfer fluid in the presence of porous under the influence of slip velocity. The analytical solution available for nondimensional momentum, heat transfer, and concentration profiles across the boundary layer is examination is done by checking the various values of physical parameters viz., Prandtl number, Radiation parameter, stretching/shrinking parameter, and mass transpiration for the flow and heat transfer which are obtainable through graphs. The present work on nanofluids flowing through stretching/shrinking surfaces has numerous applications in biomedicine, solar energy, cooling, nuclear system cooling, etc.