Riga Plate Research Articles

Mathematical simulation of tangent hyperbolic nanofluid flow coupled with homogenous/heterogeneous chemical reaction by using Levenberg–Marquardt back propagation over a Riga plate

Mathematical simulation of tangent hyperbolic nanofluid flow coupled with homogenous/heterogeneous chemical reaction by using Levenberg–Marquardt back propagation over a Riga plate

Heat transfer inspection and entropy optimization in water/MoS2-SiO2 Casson hybrid nanofluid flow with quadratic radiation ray over an exponentially contracting permeable Riga surface: Duality and stability analysis

In this study, we have examined the primary behaviour of a hybridized electro-magneto-non-Newtonian MoS2-SiO2/H2O nanofluid over a porous Riga surface that is exponentially contracting, in particular its flow dynamics and heat transfer characteristics. The key factors of this research are the presence of quadratic thermal radiation over the Riga surface under velocity slip and convective boundary. We have solved the highly circuitous coupled partial differential equations system by utilizing the bvp4c numerical method with MATLAB programming. A dual solution is determined based on a certain amount of mass suction parameter and shrinking parameter under the critical value range; beyond that value, no solution exists. We investigated the stability of the dual solutions by determining the minimal eigenvalue. An evaluation of the temporal stability of these solutions reveals that only the first solution remains stable. This is supported by the positivity of the smallest eigenvalues (β1> 0), indicating stability. Conversely, for the second solution, the smallest eigenvalues (β1< 0) are negative, signifying its instability. It can be seen that the nanofluid temperature is substantially enhanced for both branches of solution for the quadratic thermal radiating parameter, Eckert number, and Biot number. It was found that, in the first solution branch, the velocity layout was boosted with the velocity slip factor while reduced by enhancing the Casson parameter, whereas, in the second solution branch, the opposite behavior was observed. As the suction parameter increases, the heat transfer coefficient for the first solution is decreased by about 0.5 % and increases by about 0.75 % for the second solution branch. Quadratic thermal radiation parameter Nr significantly impacts the Nusselt number, as it is reduced by approximately 27.44 % and 28.72 % for the first and second solution branches, respectively. The shear stress coefficient is decreased by about 29.32 % for the first solution branch with contracting parameter λ. Because the Riga plate, paired with Casson nanofluid flows, has industrial and civil engineering applications, this study's thermal relevance makes it applicable to a wide range of industrial and engineering disciplines.

Significance of mixed convection and heat transfer flow past a vertical Riga plate in the presence of alumina nanoparticles: Analysis of streamlines for oblique stagnation point

AbstractThe aim of the current study to inspect the magnetic flow properties and heat transport features near an oblique stagnation point of a nanofluid with mixed convection through a vertical Riga plate are examined. The Riga plate is a familiar actuator made out of permanently fixed electrodes and magnets that moved away from the plate due to an exponential decline in the Lorentz force. Nanofluid is taken into consideration due to its peculiar properties, such as remarkable thermal conductivity is the significance of the study. These properties are important in heat exchangers, electronics, advanced nanotechnology, and material sciences. Using usual similarity transformations, the group of leading partial differential equations is distorted into a group of nonlinear ordinary differential equations. Then, a very proficient procedure namely bvp4c is utilized to discover the solution. For particular values of the different influential fluid parameters, the characteristics of the dimensionless temperature and velocity along with drag force and heat transfer are investigated graphically. In addition, the symmetrical results were initiated for both cases of the slip and without slip parameters. It is demonstrated that for greater influence of the volume fraction of nanoparticles, the normal and tangential velocity profile drops down for the instances of aiding and opposing flows due to fluctuations in the presence of slip factor, and absence of slip factor. In contrast, the temperature profile intensifies in both the cases of slip parameters and without the slip parameter owing to the phenomenon of assisting flow and opposing flow subject to superior impressions of the nanoparticle volume fractions. It is also observed that depending on the equilibrium between buoyancy effects, obliqueness, velocity slip parameters, and straining motion, the location of the point of zero shear stress (friction factor on the surface of the wall) is displaced to the right or the left of the origin.

Mixed convected synchronization of gyrotactic microorganism flow of an Eyring–Powell nanofluid over a riga plate

Mixed convected synchronization of gyrotactic microorganism flow of an Eyring–Powell nanofluid over a riga plate

Influence of solar thermal radiations and convective boundary on Al2O3/H2O transient model efficiency

Riga plate is a new, sophisticated magnetic field device that may be created by adjusting a group of permanent magnets and a different electrode over a plane surface. The heat transport and fluid movement in such physical setup are of paramount interest and have numerous engineering and industrial application particularly in submarines technologies. Due to the fixed magnetics the field produced which imperatively affect the model dynamics. Keeping in mind the influential applications of such physical setup, the purpose of this study is to introduce a new model based scrutinization of heat transport of stagnation point flow of Al2O3/water along vertically oriented convectively heated Riga surface. The conventional stagnation point flow model extended for nanofluid via radiative heat flux, dissipation effects and the first order thermal slip. The values of thermal conductivity values estimated via Corcione model and achieved the final nanoliquid model. For the results interpretation, the numerical scheme used and portrayed the results using different parametric ranges. The fluid motion is observed very slow due to stronger mixed convection and higher concentration of Al2O3 nanoparticles. The temperature is determined very high against the stronger convection effects and radiation number. However, the fluid layers in the vicinity of Riga surface have high heat transmission ability. Further, thermal slip and viscous dissipation effects also boost the temperature of Al2O3/water. Further, buoyancy number δ resists the fluid movement and thermal boundary region reduces in the presence of buoyancy factor.

Numerical investigation of an axisymmetric, dissipative, and unstable micropolar fluid flow over a stretched Riga plate incorporating mixed convection and chemical reaction

AbstractThe demand to improve the thermal performance of industrial working fluids and materials for better quality in engineering and household devices has spurred numerous studies on non‐Newtonian viscous fluids under various conditions. Researchers have explored different structures and geometries to understand and enhance the thermal propagation of fluid particles. As such, this research aims to investigate the effects of two‐dimensional unsteady boundary layer flow phenomena of a dissipative micropolar fluid over a radially stretching Riga plate when first‐order slip, thermal and solutal boundary conditions, mixed convection, and thermal radiation are all considered. Ordinary differential equations are the governing equations resulting from converting partial differential equations. The boundary layer conditions are altered and numerically solved using the Runge–Kutta fourth‐order shooting approach. Graphs and tables are used to visually analyze the physical attributes of temperature, concentration, velocity distributions, skin friction, Nusselt number, and Sherwood in relation to various factors. The results reveal significant insights into the impact of mixed convection and chemical reactions on the flow characteristics and dimensions. These findings have important implications for various engineering applications, particularly in enhancing industrial systems' heat and mass transfer processes, providing practical knowledge for improving thermal performance in real‐world applications.

Nonlinear Mixed Convective Analysis of Thomson and Troian Slip Flow Conditions for Ag–Cu–TiO2/H2O Hybrid Nanofluid Over a Riga Plate

The use of nanofluids to improve thermal performance is a significant area of research. In this study, a ternary nanofluid (composed of water suspending silver, copper, and titanium dioxide nanoparticles) was used to investigate flow characteristics over a Riga plate. The analysis included Thomson and Troian slip conditions, variable viscosity, and nonlinear mixed convection. After establishing the dynamics of the flow accurately, the partial differential equations representing these formulations were transformed into dimensionless nonlinear coupled ordinary differential equations. A solution methodology using the Chebyshev collocation method was developed to assess the impact of key physical parameters. The results obtain demonstrated consistency with existing literature under limiting flow conditions. The Hartmann number ( Υ ∈ [ 0.0 , 1.5 ] ) was found to increase the velocity of the ternary nanofluid by approximately 3.24 % , while slightly reducing both temperature by about 0.58 % and nanoparticle concentration by about 1.38 % in the flow distribution. In contrast, varying the mass Grashof parameter ( Λ 3 ∈ [ 0.0 , 0.3 ] ) decreased fluid velocity but promoted higher temperature and concentration distributions. The decrease in nanoparticle concentration of the ternary nanofluid due to increasing ϕ 3 * ∈ [ 0.01 , 0.09 ] led to sedimentation of ϕ 1 * and ϕ 2 * .

Stability examination of non-linear convection flow with partial slip phenomenon in a Riga plate channel

Abstract The present work examines the linear stability of non-linear convected flow inside a Riga plate channel. The channel is filled with hybrid nanoliquid and is under the novel influence of the partial slip phenomenon in the present scenario. The left domain of the channel is supported by the Riga sheet whereas the right part is bounded by a sheet of slippery nature. The stability model for this partial slip mechanism is developed in the form of an eigenvalue problem which is explored via the Chebyshev pseudospectral method&amp;#xD;in combination with the QZ-algorithm. It is reported that the convection forces in hybrid nanofluid are amplified with Riga magnetic number (Hr) under slip/no-slip assumptions. It is interestingly noted that the flow is destabilized by 11.47% with non-linear convection (Nc) when considering no-slip at the right-hand sheet. However, the stability region is enlarged with Nc by 9.53% in the presence of slip at the right-hand sheet. The partial-slip (γ) assumption in the channel decelerates the growth rate of disturbances. The increment in Fe3O4- nanoparticles over the fixed volume of CoFe2O4-nanoparticles hampers the instability of the hybrid nanofluid mixture.

Consequence of Cattaneo-Christov heat and mass flux models on bioconvective flow of dusty hybrid nanofluid over a Riga plate in the presence of gyrotactic microorganisms and Stephan blowing impacts

This study investigates the impact of the Stephan blowing and Cattaneo-Christov flux model on bioconvective flow of dusty hybrid nanofluid over a Riga plate in the presence of gyrotactic microorganisms and variable dust particles volume friction. Mass and heat phenomena are explored in the context of Stefan blowing impacts. The hybrid nanofluid consists of nanoparticles of MgO and Ag base fluid water. The Cattaneo-Christov mass and heat flux model has a significant impact on the bioconvective flow. The model predicts a slower temperature distribution and a higher concentration gradient than the traditional Fick's law and Fourier's law, respectively. The occurrence of gyrotactic microorganisms enhance the flow characteristics. This model is important for optimizing mass and heat transfer in a variety of engineering systems, including heating and cooling technologies, where effective thermal control is essential. It can be used by employing the regulated migration of microbes. By maximizing the removal of impurities, it helps with the design of sophisticated water purification systems in environmental engineering. The amalgamation of gyrotactic microorganisms and Stefan blowing effects augments the comprehension of intricate fluid dynamics, maybe resulting in advancements in microfluidic apparatuses and bio-inspired technologies. In order to transform the controlling PDEs into nonlinear ODEs, a new set of non-dimensional variables is used. The MATLAB (RKF-45th) technique is then used to resolve the ODEs numerically. As the Stephan blowing parameter (0.1≤Sb≤1.9) increases, the outcomes show that the flow distributions upsurge for both the dust and fluid phases, but the dust and fluid phase thermal distributions drop.

Casson hybrid nanofluid flow over a Riga plate for drug delivery applications with double diffusion

Abstract Casson fluid-mediated hybrid nanofluids are more effective at transferring heat than traditional heat transfer fluids in terms of thermal conductivity. Heat exchangers, cooling systems and other thermal management systems are ideal for use with Casson fluids. Precise control of the flow and release of medication is necessary when using Casson fluids in drug delivery systems because of their unique rheological properties. Nanotechnology involves the creation of nanoparticles that are loaded with drugs and distributed in Casson fluid-based carriers for targeted delivery. In this study, to create a hybrid nanofluid, both single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) are dispersed in a Casson fluid with Fourier’s and Fick’s laws assumptions. The Casson fluid is suitable for various engineering and medical applications due to the enhancement of heat transfer and thermal conductivity by the carbon nanotubes. Our objective is to understand how SWCNTs and MWCNTs impact the flow field by studying the flow behavior of the Casson hybrid nanofluid when it is stretched against a Riga plate. The Darcy–Forchheimer model is also used to account for the impact of the porous medium near the stretching plate. Both linear and quadratic drag terms are taken into account in this model to accurately predict the flow behavior of the nanofluid. In addition, the homotopy analysis method is utilized to address the model problem. The outcomes are discussed and deliberated based on drug delivery applications. These findings shed valuable light on the flow characteristics of a Casson hybrid nanofluid comprising SWCNTs and MWCNTs. It is observed that the incorporation of carbon nanotubes makes the nanofluid a promising candidate for medical applications due to its improved heat transfer properties.

Numerical investigation and sensitivity analysis of MHD ternary nanofluid flow between perforated squeezed Riga plates under the surveillance of microcantilever sensor

Numerical investigation and sensitivity analysis of MHD ternary nanofluid flow between perforated squeezed Riga plates under the surveillance of microcantilever sensor

Neuro-computing analysis of model-based Casson hybrid nanofluid flow via three-dimensional radiative Riga plate with irregular heat source/sink

In this study, an analysis is conducted on a hybrid nanofluid using the Yamada-Ota and Hamilton-Crosser model in combination with the Casson fluid model. The hybrid nanofluid is analyzed in the context of a three-dimensional radiative Riga plate, which incorporates non-uniform heat source/sink effects. The thermal features and their behavior of the hybridized nanofluid is explored in the current investigation considering the flow over a radiative Riga plate with the impact of space and temperature dependent heat source/sink. The flow and thermal characteristics of the hybridized nanomaterial are presented for the consideration of Yamada-Ota & Hamilton Crosser models. Additionally, the analysis is enhanced by the implementation of Artificial neural network. Further the machine learning approach, a neuro-computing intelligent network is adopted for the computational techniques. The neural networks, which effectively uses the data and make predictions based on their acquired knowledge. The outcomes of the proposed analysis provide the flow behavior of the hybrid nanofluid. The effect of non-uniform heat source/sink of the Casson fluid model contributes to a greater hike in the fluid temperature. Moreover, the neuro-computing intelligent network shows efficient predictions of the involved thermal parameters.

Homogeneous–Heterogeneous reactions on Darcy–Forchheimer flow of SWCNTs/MWCNTs over a bidirectional Riga plate with nonlinear radiation and non-uniform heat source/sink

Homogeneous–Heterogeneous reactions on Darcy–Forchheimer flow of SWCNTs/MWCNTs over a bidirectional Riga plate with nonlinear radiation and non-uniform heat source/sink

An implication of entropy generation in Maxwell fluid containing engine oil based ternary hybrid nanofluid over a riga plate

ABSTRACT Nanoparticles enhance the heat transmission by recovering energy that was dissipated due to increased thermal conductivity. Engine oil, commonly known as a lubricant, facilitates the movement of energy between various substances. The purpose of this analysis is to investigate the impact of the Maxwell fluid and entropy generation on the movement of ternary hybrid nanoparticles as they flow past a Riga plate under convective boundary conditions. The ternary nanoparticles AA 7072 , AA 7075 , and CoF e 2 O 4 are combined with engine oil ( EO ) as the primary liquid. The heat transfer analysis involves the examination of heat sink/source and thermal radiation. The use of a similarity transformation is employed to convert partial differential equations (PDEs) into a dimensionless form. The altered equation is subsequently solved with the homotopy analysis method (HAM), a robust analytical technique. The current analysis is marked by convergence, which denotes the answer. The impact of flow properties, such as the Maxwell parameter, modified Hartmann number, thermal radiation, and Biot number, on the velocity distribution and temperature profile. Higher values of the Maxwell fluid parameter have been shown to result in an increase in the velocity curve. The skin friction and heat transmission variances are elucidated through the utilization of tables and figures. Moreover, the findings suggest that the thermal layer of the tri hybrid nanoliquid is strengthened in reaction to higher thermal radiation and Biot number. At the same time, the thermal layer is also strengthened.

Impacts of Stefan Blowing on Thermophoretic Particle Deposition in Sisko Nanofluid Flow Over a Riga Plate with Soret and Dufour Effects

The proposed framework considers the thermosolutal Marangoni convective flow of Sisko [Formula: see text] nanofluid over a Riga surface with the effects of Stefan blowing and thermophoretic particle deposition. The phenomena of mass and heat are discussed in relation to Soret and Dufour impacts. Electrodes and magnets are arranged on a plate to make up the Riga plate. Since the fluid conducts electricity, the Lorentz force upsurges exponentially in the vertical direction. There are numerous possible uses for this study in different disciplines. The design and production of thin films, coatings, and nanostructured materials can be enhanced by knowledge of how nanoparticles settle onto surfaces under various fluid flow conditions. By optimizing fluid flow and particle deposition processes, engineering insights from this work can guide the development of more efficient heat transfer systems, such as heat exchangers and cooling technologies. The nonlinear governing PDEs are converted into nonlinear ODEs using appropriate transformations. The resultant system of highly nonlinear equations can be solved analytically by using the homotopy analysis method (HAM). The significance of factors on the flow, thermal, and concentration fields are thoroughly explained with the use of tables and figures. Higher Marangoni convection parameter in more effective heat and mass transport within the liquid as well as higher induced flows when the Marangoni convection parameter is increased. A more uniform distribution of these properties throughout the liquid is the result of decreasing temperature and concentration profiles.

A neuro‐computational study of viscous dissipation and nonlinear Arrhenius chemical kinetics during the hypodicarbonous acid‐based hybrid nanofluid flow past a Riga plate

AbstractWe examine the flow of Casson hybrid nanofluid (Cu+/) through a Riga plate sensor with perforations that act as an electromagnetic actuator. The hypodicarbonous acid is considered a base fluid. The impact of Arrhenius chemical kinetics and viscous dissipation are taken into account during the dynamics. The problem is formulated by considering the heat and mass transfer. An appropriate scaling is used to reduce the complexity of the problem, and further transform it into a system of ordinary differential equations (ODEs). The reduced system is further set for the first‐order system of equations that are analyzed with the Artificial Neural Network (ANN) which is trained with the Levenberg–Marquardt algorithm. The results for the state variables are displayed through graphs and tables by performing 1000 independent iterations with tolerance and . The Hartman, Casson, and Richardson numbers with their increasing values enhance the velocity profile. The chemical reaction parameter and the Prandtl number decline the thermal and concentration profiles, respectively. The Statistical analysis in the form of regression and histograms is also carried out in each case. The absolute error (AE) ranges up to and validations that range up to are presented for the varying values of each parameter. A comparative analysis of the nanofluid (NF) and hybrid nanofluid (HNF) is performed in each case study. The results for skin friction and Nusselt number are displayed numerically in the form of tables and are compared with the available literature, where the accuracy and performance of ANN are proved.

The variational approach to study the mixed convection boundary layer flow over a permeable Riga plate

The variational approach to study the mixed convection boundary layer flow over a permeable Riga plate

Analysis of chemical characteristics of engine‐oil‐based Prandtl hybrid nanofluid flow

AbstractThe literature showed that an empirical experiment creates another part of exploration that has been made in the field of thermal science, such that today, modern researchers are more directed to utilize hybrid types of nanoparticles due to their efficient thermal conductivity compared to single nanoparticles. The study of the hybrid flow of nanofluid is essential in many scientific and industrial arguments, such as power generation, medical equipment, oil refineries, and so forth. Furthermore, it has distinctive features to advance the expertise of their energy sources and cooling methodologies. Incentives by this research postulation: The significant objective of this investigation is to design a mathematical model of Prandtl hybrid nano liquid flow over a Riga plate when nanoparticles of aluminum alloys (AA7072 and AA7075) are suspended in engine oil. Mixed convection, activation energy, and heat radiation are also considered. The nanomaterial is modeled using a modified Buongiorno model that considers the functional qualities of hybrid nanofluids. The simulated PDEs are converted into a collection of nonlinear ODEs with appropriate and relevant similarity transformations, which are numerically addressed using finite‐difference‐oriented bvp4c procedure in MATLAB. Graphs and tables are used to evaluate and show the impacts of different factors on velocity, temperature, concentration fields, skin friction number, and Nusselt number. The velocity profile develops with the enhancement of Prandtl fluid parameters. With the increment in the magnetic parameter, both temperature and concentration profiles improve, but in the case of the Brownian motion parameter, the concentration profile declines. In terms of heat transfer, hybrid nanofluids outperform ordinary nanofluids. The current results provide an equitable contrast against the results that already exist.

Thermal analysis on Ferro Casson nanofluid flow over a Riga plate with thermal radiation and non-uniform heat source/sink

Ferro hybrid nanofluids can be used in electronics and microelectronics cooling applications to reduce heat accumulation and efficiently remove surplus heat. These nanofluids aid to maintain optimum operating temperatures and reduce device overheating by enhancing the heat transfer rate. With this motivation, the aim of the present numerical analysis is to study the three-dimensional incompressible hybrid nanofluid flow over a slippery Riga surface by combining the Casson fluid model. Mathematical modeling is constructed with nanoparticles as Fe3O4 and CoFe2O4 with base fluid as water. The non-uniform heat source/sink and thermal linear radiation effects are taken into account with the Hamilton–Crosser thermal conductivity model. A system of nonlinear PDEs is produced by the proposed problem and then the relevant similarity variables are implemented to transform the set of partial differential equations and their accompanying boundary conditions into the coupled nonlinear differential equations with one independent variable. These modified ordinary differential equations (ODEs) were then successfully solved with the Runge–Kutta fourth-order method by combining via the shooting technique. With the aid of graphical representations, the effects of various influencing parameters were presented and analyzed comprehensively. Furthermore, the impacts of relevant parameters on heat transfer rates and shear stress are concisely discussed and illustrated in tabular forms. The significant findings include the enhancement of the radiation parameter increases the thermal boundary layer thickness and the thickness increases whenever surface experiences slippery conditions. The axial and transverse momentum of the fluid are controlled with the Casson parameter. An effective connection is noticed once the current numerical solutions are verified under particular conditions that were previously described.

Influence of activation energy in steady state hydro dynamic non-Newtonian nano fluid with mobile microorganisms

The purpose of this article is to investigate the activation energy associated with bioconvection nano flow propagation via Riga plate with Arrhenius impact. Electricity flows through the fluid with a Lorentz force that alters in vertical direction. A Riga plate is considered when a magnetic electro force is applied. Casson and activation energy are included in the governing equations. The model is based on a Riga plate with a stretchy sheet that can represent bioconvection, the movement of microorganisms in two-phase nano-liquid flows. Novelty of this research is to explore the thermal and mass transport across a Riga plate of a Casson flow in steady, laminar, and MHD incompressible flow with bioconvection, and activation energy impacts. The governing PDEs are organized by the application of basic conservation laws, and they are subsequently transformed into equivalent ordinary differential equations. An evaluation of the present analysis is conducted using bvp4c, are displayed graphically. Results indicates magnetic field and Rayleigh bioconvection wither the velocity. Temperature profiles tend to be increased by Brownian motion.