Riga Plate Research Articles

Radiating and electromagnetic nanofluids flow over an exponentially accelerated Riga plate with heat sink

In current history, there has been a significant interest in contemporary nanostructures for nanoelectronic systems. These systems progressively employ dynamic media to boost efficiency. Inspired by its applications in engineering, The effect of radiation and heat sink on electromagnetic nanofluids flow past an exponentially accelerated Riga surface is studied analytically using the Laplace transform technique. The base fluid is water, and three selected nanoparticles are used: Copper, Titanium dioxide, and Aluminium oxide. The porous medium is taken into account, as well as the validity of the Boussinesq approximation. The influence of modified Hartmann number, heat absorption, Grashof number, and thermal radiation parameter on nanofluid velocity and temperature profiles is depicted graphically and discussed. The shear stress and Nusselt number are determined, and outcomes are presented via plots and a table. The exact solution shows that the modified Hartmann number, nanofluid volume fraction and heat sink tend to improve as the values of Shear stress (skin friction) for Cu – water nanofluid shows a comparative increase over Al2O3 and TiO2 nanofluids. Whereas the Radiation effect tends to decrease as the shear stress values for Cu–water nanofluids show a higher decline over Al2O3 and TiO2 nanofluids.

Effects of Brownian and thermophoresis on the nanofluid flow with zero nanoparticle mass flux and convective conditions through non-linearly expanding Riga plate

The present flow phenomena characterize the behavior of the Brownian motion and thermophoresis considering the Buongiorno model nanofluid through a non-linearly expanding Riga plate. The conjunction of thermal radiation with zero nanoparticle mass flux and convective boundary conditions enriches the thermal properties of the nanofluid. With the recent need in various industrial applications, the biomedical sector, for the design and development of the production process of various equipment, the role of nanofluid is vital. Further, the suitable variables leading to transformation rules are useful to get rid of the dimensional form of the governing equations. Traditional numerical technique with the help of shooting-based Runge–Kutta fourth-order technique is adopted for the solution of a transformed set of equations. The physical behavior of the characterizing components is presented and described briefly. Further, the important outcomes are the use of Hartmann number that overshoots the velocity profile, whereas the heat transfer retards significantly and enhanced thermophoresis attenuates the heat transfer rate.

A Local Thermal Non-Equilibrium Approach to an Electromagnetic Hybrid Nanofluid Flow in a Non-Parallel Riga Plate Channel

The fluid flow in a non-parallel configuration exists in the electronic heat removal devices, microchannel heat sinks, and angled confusers/diffusers. The fluids in these applications are prone to flow separation and bifurcations. To deal with such type of problems, a novel idea of a converging or diverging type Riga plate channel is introduced in this study. The Riga plates are utilised to produce the cross-flow magnetic and electric fields which give rise to an exponentially decaying Lorentz force. Also, a porous matrix with variable permeability is considered to fill the Riga plate channel. The thermal equilibrium state between the hybrid nanofluid and porous media is ignored i.e., a local thermal non-equilibrium (LTNE) approach is adopted to model the energy balance equations. The dimension-free form of the guiding equations is tackled by using the Chebyshev pseudospectral quasi-linearization method. The heat transfer rate is respectively incremented by 21.42% and 63.12% in the converging and diverging flow regimes, with the inclusion of a Riga Sheet. The skin friction coefficient is depressed with modified Hartmann number (Ha*) and porosity (ε) for the converging/diverging flow regime. The LTNE state alters to the LTE with Nield number (Ni), thermal conductivity ratio (γ) and ε.

Oblique stagnation point flow of magnetized Maxwell fluid over a stretchable Riga plate with Cattaneo-Christov heat flux and convective conditions

The current work deals with the oblique stagnation point flow phenomenon of a rate-type Maxwell fluid with the significance of the Cattaneo-Christov double diffusion theory. The Cattaneo-Christov theory is illustrated through the modified form of Fourier’s and Fick’s laws. The steady magnetized flow mechanism is observed in two dimensions through a stretchable convective Riga plate. In the mass and heat transfer analysis, the consequences of chemical reactions and thermal radiation are also incorporated. With the contribution of relevant dimensionless quantities, the setup of dimensionless equations is acquired which further takes the form of nonlinear equations. The physical significance of the numerous parameters on different features of the flow phenomenon is graphically exhibited. The interesting physical quantities are computed and numerically evaluated relative to the pertinent parameters. This study reveals that the thermal relaxation time parameter lowers the rate of heat transfer, and the thermal Biot number enhances the rate of heat transport. Moreover, the Deborah number minimizes the flow field of both tangential and axial velocities.

Darcy Forchheimer flow of chemically reactive magnetized ZnO-SAE50 nanolubricant over Riga plate with thermophoretic particle deposition: a numerical approach

Darcy Forchheimer flow of chemically reactive magnetized ZnO-SAE50 nanolubricant over Riga plate with thermophoretic particle deposition: a numerical approach

Computational and statistical exploration of a Riga plate sensor's activity in a Casson hybrid nanofluid with Arrhenius chemical kinetics

In recent years, there has been a growing interest in non-Newtonian hybrid nanofluids in biotechnology, bioinformatics, and microbiology. This study introduces a precise framework for analyzing the behavior of such nanofluids, employing the Casson fluid model. The investigation takes into account the presence of a perforated Riga plate sensor, which functions as an electromagnetic actuator. Additionally, the study considers the influence of Arrhenius chemical kinetics and heat radiation. The hybrid nanofluid under examination is created by blending copper and aluminium oxide nanomaterials with ethylene glycol (EG). To compute the resulting ordinary differential equations (ODEs), numerical algorithms, specifically the Runge-Kutta-Fehlberg (RKF45) and the shooting methods, are employed. The computational findings are presented using graphs and tables, illustrating the impact of critical physical parameters on transport profiles using Mathematica software. The results show higher concentrations of nanoparticles and temperature levels in Casson hybrid nanofluids compared to Casson nanofluids, while fluid velocity exhibits an inverse pattern. In addition, incorporating the chemical reaction parameter yielded a substantial 20% enhancement in the Sherwood number, accompanied by a concurrent 5% reduction in the Nusselt number. Furthermore, the study investigates the influence of the thermophoresis parameter, activation energy parameter, and Brownian motion parameter on the sensitivity of Sherwood and Nusselt Numbers, employing the Response-Surface-Methodology (RSM). The results highlight the significant impact of Nusselt numbers on thermophoresis and Brownian motion, as they are highly responsive to variations. Notably, among all physical entities, the Sherwood number is the most susceptible to changes in the activation energy parameter.

Influence of Chemical reaction and heat generation/absorption on Unsteady magneto Casson Nanofluid flow past a non-linear stretching Riga plate with radiation

The use of Casson fluid is of considerable importance in the manufacturing of pharmaceutical products, including the incorporation of china clay and biological fluids such as synovial liquids. Therefore, the primary objective of this work is to examine the characteristics of the Casson fluid flow. The Casson fluid is a non-Newtonian model often used to analyze the unsteady magnetohydrodynamic (MHD) heat and mass transfer in nanofluid flow scenarios across a non-linearly stretched Riga plate. The heat and mass transfer equations include the analysis of radiation and chemical reactions, respectively. Furthermore, the process of heat transmission is intensified by the existence of an external heat source or heat sink. By applying appropriate similarity transformations, the partial differential equations (PDEs) are converted into a set of nonlinear ordinary differential equations (ODEs). These ODEs are then solved numerically by utilizing the Runge-Kutta-Fehlberg-45 method, with the help of a shooting strategy. The validity of the study is determined by a comparative analysis of the present results in relation to prior research. The main objective of this research is to assess the influence of relevant flow parameters on the fluid flow, temperature, and concentration gradients, which will be visually represented and reported in tabular form. The augmentation of the Casson fluid coefficient (β) hinders the advancement of both velocity and temperature. The augmentation of the thermophoresis parameter (Nt) and magnetic factor (M) results in an elevation of θ(η) and a reduction in the curves depicting the volume fraction of nanoparticles. This study establishes a significant connection between many biological and engineering applications, particularly in the analysis of blood samples and the administration of drugs via blood circulation.

Gyrotactic microorganisms swimming in magneto-Sutterby-nanofluid over a sliding cylinder set in a Darcy-Forchheimer porous space with Arrhenius kinetics

This current study aims to analyze the bioconvection effect of gyrotactic microorganisms in a Sutterby nanofluid flow across a slippery horizontal cylinder with the participation of Arrhenius kinetics. The model for bioconvection analysis includes factors such as Brownian motion, thermophoresis, magnetic field, gravitation, and chemical reaction. The Darcy-Forchheimer rule is applied to assess the porous space’s resistance. By employing the necessary similarity maps, the PDEs in their nonlinear form are converted into a system of coupled ODEs. The converted ODEs are numerically computed by employing the Runge–Kutta-Fehlberg technique in combination with the shooting strategy. The impacts of significant physical factors on transport characteristics and engineering parameters are depicted with the dint of Mathematica software in tables and figures. The study showed that enhancing the chemical reaction and activation energy factors significantly inflates the nanoparticles’ concentration. Moreover, it must be acknowledged that the moment profile rarefies with the Darcy number’s elevation, but higher Forchheimer number seems to have the opposite effect. The new findings of this study have potential implications in biotechnology and automobile industry.

Motile microorganism-based ternary nanofluid flow with the significance of slip condition and magnetic effect over a Riga plate

Motile microorganism-based ternary nanofluid flow with the significance of slip condition and magnetic effect over a Riga plate

Soret and Dufour effects on MHD flow of a micropolar fluid past over a vertical Riga plate

Soret and Dufour effects on MHD flow of a micropolar fluid past over a vertical Riga plate

Numerical investigation of dusty tri-hybrid Ellis rotating nanofluid flow and thermal transportation over a stretchable Riga plate

Due to high-ultra thermic significances, the nanosize materials are used in various chemical and mechanical engineering, modern technology and thermic engineering eras. For industrial growth of a country, one of the biggest challenges for engineers and scientists is improvement in thermal production and resources. In this study we analyzed the momentum and thermic aspects of MHD Ellis ternary nano material embedded with dust particles via stretchable Riga plate including volume concentration of dust material. The flow generating PDE’s for two phase models are minimized into dimensionless nonlinear ODE’s by using the right modification. To acquire the graphical results the BVP4c method was adopted in MATLAB software. Fundamental aspects affecting velocity and temperature have investigated through graphs. Additionally Nusselt number and skin friction have also been evaluated. Compared it with previous literature to check the validity of results. Finding reveals that as compared to dusty phase the performance of trihybrid nano phase thermal transport is improved. Moreover, the temperature profile increases for rotational and volume fraction dust particles parameter. Dusty fluids are used in numerous manufacturing and engineering sectors, like petroleum transport, car smoke emissions, caustic granules in mining and power plant pipes.

Gyrotactic microorganism hybrid nanofluid over a Riga plate subject to activation energy and heat source: numerical approach

The current article aims to examine the magnetohydrodynamics (MHD) impact on the flow of MgO–Ag/water-based hybrid nanoliquid with motile microorganisms and the fluid is allowed to flow over a Riga plate subject to slip effects and activation energy. Furthermore, the presence of a uniform heat source/sink is also addressed in the energy equation. In addition to this, the thermophoresis effect is highlighted in the concentration equation. From the present proposed model, we get a non-linear system of the governing equations. The obtained system of partial differential equations (PDEs) is converted to the dimensionless system of ordinary differential equations (ODEs) using the similarity transformation. The obtained high non-linear system of equations has been solved numerically, using the parametric continuation method (PCM). In the present analysis, the main motivation is to highlight the heat transfer rate of MgO–Ag/water-based hybrid nanofluid flow over a Riga plate. The second motivation of the present research is to highlight the impact of slip conditions on the velocity, energy, and mass profiles. From the graphical analysis, it is depicted that the slip conditions reduce the velocity, energy, and mass outlines. From the present analysis, we concluded that volume friction reduced the flow profile while increasing the temperature of the fluid flow over a Riga plate. All the parameters of the present research are highlighted in velocity temperature and concertation of the fluid. In addition to this in all the figures we have compared the hybrid nanofluid with mono nanofluid and the also the comparison between slip and no-slip conditions have carried out through graphs for velocity, temperature, and concentration.

Irreversibility analysis through neural networking of the hybrid nanofluid for the solar collector optimization

Advanced techniques are used to enhance the efficiency of the energy assets and maximize the appliance efficiency of the main resources. In this view, in this study, the focus is paid to the solar collector to cover thermal radiation through optimization and enhance the performance of the solar panel. Hybrid nanofluids (HNFs) consist of a base liquid glycol (C3H8O2) in which nanoparticles of copper (Cu) and aluminum oxide (Al2O3) are doped as fillers. The flow of the stagnation point is considered in the presence of the Riga plate. The state of the solar thermal system is termed viva stagnation to control the additional heating through the flow variation in the collector loop. The inclusion of entropy generation and Bejan number formation are primarily conceived under the influence of physical parameters for energy optimization. The computational analysis is carried out utilizing the control volume finite element method (CVFEM), and Runge–Kutta 4 (RK-4) methods. (FEATool Multiphysics) software has been used to find the solution through (CVFEM). The results are further validated through a machine learning neural networking procedure, wherein the heat transfer rate is greatly upgraded with a variation of the nanoparticle's volume fraction. We expect this improvement to progress the stability of heat transfer in the solar power system.

Couple stress behaviors of nonlinearly radiating hybrid nanofluid over convectively heated Riga plate exploring thermophoretic and Brownian impacts

The endeavor toward exploring the significant impacts of modified Hartmann number and the couple stress facts over the nonlinearly radiating hybrid nanofluid flow inclusive of thermophoretic and Brownian effects over the Riga plate subjected to the Newtonian Heating has been analyzed. The model was developed by incorporating the above-mentioned physical aspects. Numerical solutions have been drawn through the RK Feldberg scheme using efficiently modified Matlab code. The outcomes based on the parametrical analysis were portrayed graphically and the key values-based fallouts were tabularized comparatively with traditional nanofluid behavior in those similar conditions. As the modified Hartmann number exerts favorable sustenance, the couple stress exhibits the impeding effects in fluidity, thermal and mass transference deeds. Yet another constructive upshot for hybrid nanofluid’s performance over traditional fluids even in such thought-provoking physical conditions.

Enhanced heat transfer analysis of hybrid nanofluid over a Riga plate: Incorporating Lorentz forces and entropy generation

The Riga plate, comprising a configuration of electrodes and permanent magnets, can induce a wall-parallel Lorentz force through external electric and magnetic fields, enabling effective control of fluid flow. This paper focuses on studying the flow characteristics of Al2O3-Cu/water hybrid nanofluid past a Riga plate in the presence of strong suction. The mathematical model incorporates a two-phase approach to describe the behavior of the nanofluid, while considering the Grinberg-term to account for the wall parallel Lorentz force generated by the Riga plate. Several influential factors such as entropy generation, viscous dissipation, heat flux, thermal radiation, slippage, and convective boundary conditions of temperature are considered in our investigation. Entropy generation within thermodynamic systems contributes to energy losses resulting from various factors, including frictional forces, viscosity, and chemical reactions. Minimizing entropy generation is crucial to enhancing system performance. To address the research problem, we utilize dimensionless parameters and assume strong suction to simplify the governing partial differential equations. The dimensionless model is subsequently solved numerically using the Adams-Bashforth technique. Additionally, a comprehensive graphical analysis is conducted to examine the impact of various dimensionless parameters on the flow fields. This study highlights the importance of controlling fluid flow using the Riga plate in the presence of suction and investigates the behavior of a specific nanofluid under these conditions. The results provide valuable insights into the influence of key parameters on the flow characteristics. We conclude that effective utilization of the Riga plate can lead to significant enhancements in fluid flow control. Moreover, the study contributes to reducing energy losses through minimizing entropy generation. The novelty of this work lies in its comprehensive approach, considering multiple influential factors and employing a two-phase model for the nanofluid. Additionally, the inclusion of the Grinberg-term to account for the wall parallel Lorentz force adds to the uniqueness of the study. This research expands upon previous efforts in the literature by providing a more comprehensive analysis of the fluid flow control using the Riga plate, incorporating a broader range of factors, and presenting a numerical solution approach.

Unsteady mix convectional stagnation point flow of nanofluid over a movable electro-magnetohydrodynamics Riga plate numerical approach

The flow at a time-independent separable stagnation point on a Riga plate under thermal radiation and electro-magnetohydrodynamic settings is examined in this research. Two distinct base fluids-H2O and C2H6O2 and TiO2 nanostructures develop the nanocomposites. The flow problem incorporates the equations of motion and energy along with a unique model for viscosity and thermal conductivity. Similarity components are then used to reduce these model problem calculations. The Runge Kutta (RK-4) function yields the simulation result, which is displayed in graphical and tabular form. For both involved base fluid theories, the nanofluids flow and thermal profiles relating to the relevant aspects are computed and analyzed. According to the findings of this research, the C2H6O2 model heat exchange rate is significantly higher than the H2O model. As the volume percentage of nanoparticles rises, the velocity field degrades while the temperature distribution improves. Moreover, for greater acceleration parameters, TiO2/ C2H6O2has the highest thermal coefficient whereas TiO2/ H2O has the highest skin friction coefficient. The key observation is that C2H6O2 base nanofluid has a little higher performance than H2O nanofluid.

Significance of nanoparticle shape factor and buoyancy effects on a parabolic motion of EMHD convective nanofluid past a Riga plate with ramped wall temperature

Significance of nanoparticle shape factor and buoyancy effects on a parabolic motion of EMHD convective nanofluid past a Riga plate with ramped wall temperature

Keller Box procedure for stagnation point flow of EMHD Casson nanofluid over an absorbent stretched electromagnetic plate with chemical reaction

In the present research, the stagnation point flow of EMHD Casson nanofluids over a stretchable electromagnetic plate is considered. Flow over the Riga plate is considered to analyze the Electromagnetic influences on fluid flow. Also, permeability, radiation, chemical reaction and heat source attributes are considered in this study. The guiding equations of the problem are transformed to nonlinear ODE using suitable similarity transformations. The numerical investigation of the flow is studied by implementing the Keller Box procedure using MATLAB. Validation of the numerical method is analyzed by comparing it with the previous studies. Also, calculated numerical observations of the local Nusselt and Sherwood parameters are of interest. An increase in the velocity outlines is detected for augmented observations of modified Hartmann number and unlike trends are noted for Casson, permeability, Prandtl number and suction factors. Temperature enhancement is witnessed for radiation, heat source, thermophoresis, Brownian diffusion and Biot number cases. Opposite trends are perceived in the case of suction constant. Concentration profiles are increasing for the alterations of thermophoresis parameter and declined in case of radiation, heat source, Brownian diffusion and Lewis number.

Significance of Navier’s slip and Arrhenius energy function in MHD flow of Casson nanofluid over a Riga plate with thermal radiation and nonuniform heat source

Riga plate is known to create a crossing electric and magnetic field to generate a wall-parallel Lorentz force. The significance of Casson nanofluid flow past a Riga plate is observed in the sphere of engineering, such as polymer extrusion, food manufacturing, plastic films, oil reserves and geothermal manufacturing. Researchers are interested in this model because of its potential use in biological rheological models. As Casson nanofluid flows are of great interest, this study aims to investigate the three-dimensional magnetohydrodynamics (MHD) flow with heat and mass transport of Casson nanofluid over a flat Riga plate. As a novelty, this study also includes the effectiveness of wall velocity slip, activation energy, nonlinear radiation, and temperature and space-dependent heat source/sink. Suitable similarity transformations have been employed to generate the dimensionless ordinary differential equations (ODEs) from the partial differential equations (PDEs) regulating the fluid flow problem. The transformed nonlinear boundary value problem is then solved numerically using the in-built routine “bvp4c” in MATLAB. The visual demonstrations are provided for the effects of various significant physical factors on the flow, heat and mass distributions. On the other hand, wall shear stress and rates of heat and mass transport at the surface are measured and displayed numerically in tabular form. The findings indicate that the fluid velocity in both directions slows as the velocity slip parameter increases. However, the velocity profile is escalated with the boost of modified Hartmann number. An increase in heat source parameters leads to decrease the heat transmission rate at the wall. The higher values of the radiation parameter result in a better wall heat transmission rate. Further, the rate of mass transport drops when the activation energy parameter is hiked.

Influence of Hall current & Lorentz force with nonlinear thermal radiation in an inclined slip flow of couple stress fluid over a Riga plate

Partially ionised fluids subject to an external magnetic field results in a completely different dynamical behaviour. Very few studies are conducted to explore the fascinating properties of Hall current and Ion slip in fluid flows. Flow over a Riga plate with MHD Ion and Hall currents, nonlinear thermal radiation is still rare. We aim to analyse the inclined stagnation point slip flow of Couple Stress fluid over a stretched horizontal Riga plate to close this gap. The flow problem is modelled using Navier stokes theory along with energy conservation and then principal partial differential equations are converted into ordinary differential equations. The governed system is solved mathematically by numerical technique RK Fehlberg method. The behaviour of fluid is described through graphs including fluid’s motion and energy. Local surface skin friction coefficients and local heat and mass flux at surface are the concerned physical magnitudes which are described through graphs and tables and are highly recommended in practical solicitations in numerous production plants and manufacturing workshops. Thermally radiative MHD flow with Ion Hall currents are broadly used in thermal controlling systems, spectro scopy, microchip technology, Magnetohydrodynamic energy conversion campaigns, exploration and expansion for high & low efficiency release, power-driven & power generation structures, MHD accelerations & thrusters, and drift regulator in hypersonic and automobiles.