Magnetohydrodynamic Stagnation Point Flow Research Articles

Magnetohydrodynamic Stagnation Point Flow and Heat Transfer of Casson Fluids Over a Stretching Sheet

This research investigates the effects of heat transfer on the stagnation-point flow of a non-Newtonian Casson fluid in a two-dimensional magnetohydrodynamic (MHD) boundary layer over a stretched sheet, considering thermal radiation impacts. By employing similarity transformations, the governing partial differential equations are transformed into nonlinear ordinary differential equations. The obtained self-similar equations are numerically solved using the Optimal Homotopy Analysis Method (OHAM). The numerical results are graphically represented, showcasing the influence of various parameters on fluid flow and heat transfer characteristics. The study uncovers important dynamics in transport phenomena. Examining and illustrating the effects of dimensionless parameters on velocity, temperature, and concentration profiles reveal significant insights. Moreover, skin friction and Nusselt number results for Casson fluids are analyzed and presented. The findings indicate that the Casson parameter and Hartman number act in opposition to fluid momentum, while the thermal conductivity parameter enhances fluid temperature. Thus, this research provides valuable insights into MHD boundary layer flows of non-Newtonian Casson fluids with thermal radiation effects, and the OHAM solution method proves effective in predicting flow transport properties.

Intelligent computing applications to study the tri-hybrid nanofluid past over the stretched surface

In this study, a recurrent neural network with the Levenberg-Marquardt backpropagation algorithm is used to examine the effects of various parameters on cooling mechanisms involving tri-hybrid nanofluid consisting of Al2O3, Cu, TiO2 and magnetohydrodynamic stagnation point flow. This research focus on nanofluid in the existence of an asymmetrically stretched disc in water, which plays an imprortant role for understanding heat transfer in addition to the dynamics of momentum and thermal boundary surface. Transform the complex partial differential system through suitable similarity transformations into the ordinary differential equations for numerical computing. These equations have been solved numerically by using the Adams method in Mathematica to generate datasets for various parameters.The current study demonstrates that the velocity profile rises with higher magnetic, velocity slip, and mass suction parameters. The fluid thermal level tends to decrease with an increase in mass suction parameters, whereas an increase in the magnetic parameter and Eckert number raises the fluid’s thermal level. Furthermore, it is noticed that the flow resistance and internal friction of the fluid are proportional to the viscosity parameter. The proposed scheme has shown its effectiveness in a wide range of scenarios and cases. This was achieved by comparing the mean square error metric for the squeezing flow tri-hybrid nanofluid problem with the obtained results. In addition, various statistical measures like state transitions, fitness assessments, error histograms, and regression analyses, provide further evidence of the solver’s robustness and reliability. The excellent agreement between the reference datasets and refined numerical solutions through the scheme showcases the method’s effectiveness, achieving remarkable accuracy levels ranging from 10-6 to 10-12.

Magnetohydrodynamics Stagnation Point Flow of Hybrid Nanofluids with Distinct Base Fluid over an Exponentially Extending Cylinder: A Numerical Comparative Analysis

Magnetohydrodynamics Stagnation Point Flow of Hybrid Nanofluids with Distinct Base Fluid over an Exponentially Extending Cylinder: A Numerical Comparative Analysis

Magneto-Hydrodynamic Stagnation Point Flow of Casson Williamson Hybrid Nanofluid Incorporating Viscous Dissipation and Suction/Injection Effect Past an Exponentially Stretching Cylinder

The ongoing inquiry aims to analyze stagnation point flow characteristics of magneto-hydrodynamic (MHD) Cason-Williamson hybrid nanofluids over an exponentially stretched cylinder, incorporating phenomena like viscous dissipation and suction/injection effects, as no prior investigation has been conducted on it, which represents the distinctiveness of the flow model. To facilitate analysis, the original partial differential equation (PDE) formulation of the flow model is transformed into non-dimensional ordinary differential equations (ODEs) employing dimensionless quantities, a process facilitated by the MATLAB bvp4c approach. Various non-dimensional variables are examined for their impacts on velocity profiles, temperature distribution, shearing stress, and Nusselt number. Results conveyed through graphs and detailed tables show thermal profile enhancement with escalating Weissenberg, Eckert, and Biot numbers for Casson Williamson hybrid nanofluid. Increasing copper nanoparticle volume in this fluid raises friction drag compared to the Casson hybrid nanofluid, with a 9% enhancement in shear stress. Conversely, the heat transport rate is reduced by about 1.5% for Casson Williamson hybrid nanofluid compared to Casson hybrid nanofluid. These findings significantly advance fluid dynamics and nanofluid exploration, offering opportunities for improved heat and mass transmission in various industries.

Magnetohydrodynamic stagnation point flow of Williamson hybrid nanofluid via stretching sheet in a porous medium with heat source and chemical reaction

The stagnation point flow of non-Newtonian fluids has several engineering and industrial applications. In this article, we considered the investigation of the magnetohydrodynamic stagnation point flow of Williamson hybrid nanofluid with chemical reaction and energy generation effects over a porous extending sheet. Similarly, the characteristics of radiation and convective boundary conditions are also taken. Presumptions of boundary layer movement of Williamson hybrid nanofluid facilitate the simplification of the essential mathematical equations for the conservation of mass, energy, momentum and concentration. By introducing the similarity variables, the controlling partial differential equations have been transformed into dimensionless ordinary differential equations. Then, the most effective homotopy analysis method is used to approximate the solutions of reduced ordinary differential equations. Graphical calculations are carried out for hybrid nanofluid [Formula: see text] and nanofluid [Formula: see text]. To investigate the impacts of leading parameters, graphs for the quantities are generated. At the boundary, the local skin friction factor, the Sherwood number and the Nusselt number are also determined. According to the outcomes, it is discovered that when the porosity parameter increases the velocity profile of the hybrid nanofluid [Formula: see text] climbs above that of the nanofluid [Formula: see text]. An increase in thermal radiation parameter and Biot number causes a greater thickness of the thermal boundary layer, which in turn raises the temperature of the hybrid nanofluid. Furthermore, the increased chemical reaction decreases the concentration in both [Formula: see text] hybrid nano liquid and [Formula: see text] mono nanofluid cases.

A mathematical analysis of the unsteady magnetohydrodynamic stagnation point flow of a nanofluid consisting of single-walled carbon nanotubes and human blood through a stretchable wall with slip effects

A mathematical analysis of the unsteady magnetohydrodynamic stagnation point flow of a nanofluid consisting of single-walled carbon nanotubes and human blood through a stretchable wall with slip effects

Model-based comparative analysis of MHD stagnation point flow of hybrid nanofluid over a stretching sheet with suction and viscous dissipation

The effects of steady MHD stagnation point flow with viscous dissipation over a permeable stretching surface are examined. The fluid water is infused with Al 2 O 3 − Cu hybrid nanofluid particles. Magnetohydrodynamics (MHDs), suction with viscous dissipation reveals a mechanism for the transmission of heat and flow. Many different thermal conductivity models, such as the Hamilton–Crosser, Yamada–Ota, and Xue models are utilized to learn more about the thermophysical properties of hybrid nanoparticles. By using the boundary layer approximation, the partial differential equations may be transformed into ordinary differential equations (ODEs), which are linked and highly nonlinear. This is accomplished by employing a separate set of equations. Mathematica is used to find the numerical solution by applying the Runge-Kutta (RK-IV) technique to the coupled system in question. Visualization of the resulting numerical data shows the velocity, temperature, and skin friction. There have also been discoveries about the local heat transfer rate. Afterwards, the data is presented in tables and discussed. Suction S is studied together with magnetism M , Eckert number Ec , and the nanoparticle volume fraction toward stretching to better understand the performance of flow, heat transfer within these systems. According to the findings of this investigation, the stretching sheet offers a novel approach. When compared to the Hamilton–Crosser and Xue models of hybrid nanofluid, the Yamada–Ota model of the hybrid nanofluid achieves higher heat transfer rates than the other two models combined for mass suction. Also, the tri-models demonstrate growing tendencies to growing the volume fraction rate of Al 2 O 3 − Cu / H 2 O hybrid nanoparticles. Furthermore, the hybrid nanoparticles performance is superior to that of conventional nanofluids.

Stability analysis of MHD stagnation point flow of Casson fluid past a shrinking sheet in porous medium considering heat sink or source, thermal radiation and suction effects

This study investigates the magnetohydrodynamic stagnation point flow of Casson fluid and heat transfer phenomena past a shrinking sheet in porous medium with thermal radiation, heat sink/source and suction effects. The Lie group analysis approach transforms the governing equations into self-similar equations, which are then solved through the shooting methodology. Asymptotic solutions for large stretching and suction parameters are reported. Dual solutions are found for a certain range of shrinking parameter. Stability analysis is performed in order to identify the stable and physically realizable solution. The stability is examined by calculating the lowest eigenvalues of the linearized boundary value problem associated with the self-similar equations. The analysis indicates that the first solution is stable, while the second solution is unstable. It is observed that as the suction parameter (s), magnetic field parameter (M) and Casson fluid parameter (β) increase, the range of dual similarity solutions increases.

Analysis of buoyancy features on magneto hydrodynamic stagnation point flow of nanofluid using homotopy analysis method

This study aims to examine the buoyancy features of the magnetohydrodynamic (MHD) stagnation point flow and temperature transfer in a nanofluid flow through a convectively heated stretching sheet. The dimensionless form of the governing model is highly nonlinear ordinary differential equations (ODEs) and solved using the Homotopy Analysis Method (HAM). To obtain series solutions the computational program MATHEMATICA is used. It is found that the fluid velocity and boundary layer thickness decrease when the velocity of the stretching sheet is less than the free fluid velocity. The stretching parameter λ and the buoyancy ratio Nr reflect an increase in the velocity profile f′(η) and a decline in the temperature θ(η) and the concentration profile ϕ(η). The skin friction Cf increases because of the motion of nanoparticles and the Nusselt numbers Nux, reduce with the magnetic parameters and increase with the convective parameters. Increased in the Prandtl, Pr, and Lewis numbers, Le values indicated a faster heat transfer to mass transfer. Additionally, results show that the magnetic field accelerates the mass transfer and enhances fluid flow, leading to a higher Sherwood number (Shx).

Stagnation point on MHD boundary layer flow of heat and mass transfer over a non-linear stretching sheet with effect of Casson nanofluid

ABSTRACT The present study analyzes the effects of the magnetohydrodynamic stagnation point and Casson fluid flow considered over the stretching surface. Due to the growing need for non-Newtonian nanofluid flows in industry and engineering areas, the present work focuses on the Casson nanofluid flow over a non-linear stretching surface with effects. The Casson nanofluid is more helpful for cooling and friction-reducing agents compared to Newtonian-based nanofluid flow. The mathematical explanation of the problem is elaborated with the help of partial differential equations. The coupled nonlinear form of ordinary differential equations (ODEs) is solved numerically by the Keller-Box method using a suitable MATLAB program. On the effect of the Casson parameter on the velocity parameter, it is observed that for large values of the Casson parameter, the velocity profile decreases. The reason behind this behavior is that increasing the values of the Casson parameter increases the fluid viscosity, i.e. reduces the yield stress. Therefore, the momentum boundary layer thickness reduces and the thermal boundary layer thickness increases.

Magnetohydrodynamic Stagnation-point Flow towards a Permeable Stretching/Shrinking Sheet with Slip and Heat Generation/Absorption Effects

This study of the magnetohydrodynamic (MHD) stagnation-point flow towards a permeable stretching/shrinking sheet in the presence of slip and heat generation/absorption effects is considered. The governing equations in the form of partial differential equations are transformed into a system of ordinary differential equations by using similarity transformation, and then solved numerically using bvp4c function in Matlab software. The variations of the numerical solutions for the skin friction coefficient and the local Nusselt number as well as velocity and temperature profiles are obtained for several values of the governing parameters. It is found that the solution is unique for the stretching case whereas dual (first and second) solutions exist for the shrinking case in certain range of parameters.

Analytical investigation of MgO–CuO∖H2O, hybrid nanofluid MHD stagnation point flow with the influence of viscous dissipation for enhancement of heat transfer ratio

In this research work, we will carry out analytical investigation of MgO–CuO∖H2O, hybrid nanofluid magnetohydrodynamics (MHD) stagnation point flow with the influence of viscous dissipation for enhancement of heat transfer ratio. The flow system takes into account the impact viscous dissipation and transport dependence on the shape factor. Furthermore, velocity and temperature at the stretching surface are also considered in this study. To convert a collection of PDEs to nonlinear ODEs, we applied appropriate transformations. We utilize the Homotopy analysis method (HAM) to solve this set of equations. A physical description is used to simulate and evaluate the structures of flow features such as velocity, skin friction, Nusselt number and temperature profiles in response to changes in developing factors, the effects of different factors on temperature and velocities are shown in the form of graphs. It is hoped that this theoretical approach would contribute positively to improve the heat transformation ratio to satisfy the demands of the manufacturing and engineering sectors.

Mixed convection of transient MHD stagnation point flow over a stretching sheet with quadratic convection and thermal radiation

AbstractThis study investigates the influence of quadratic (nonlinear) convection in transient magnetohydrodynamic (MHD) combined convection over a two‐dimensional stretching sheet. It explores the effects of thermal radiation, suction, and heat sources or sinks. The Crank–Nicholson implicit finite difference method is employed for numerical computations. The significance lies in considering secondary convection, which is crucial in understanding nonlinear convective effects affecting flow and heat transfer properties. The study aims to advance our comprehension of how secondary convection impacts the overall system behavior. Through numerical calculations validated against existing literature, strong agreement is demonstrated. The study evaluates secondary convection effects, magnetic, buoyancy, gravitational parameters, Prandtl number, and radiation parameters. Notably, strong quadratic convection alters flow patterns, affecting velocity and temperature profiles. Moreover, it is observed that when increasing the nonlinear (quadratic) convective factors, the temperature profile increases for and decreases for . The prevalence of nonlinear or second‐order convection highlights magnetic dominance. In essence, this research enhances our understanding of complex convection interactions in MHD flow, shedding light on the role of secondary convection in shaping system behavior.

Physical insight into thermal analysis of magnetohydrodynamic stagnation point flow of micropolar nanofluid across a flexible surface equipped with porous medium and Fourier and Fick's law

AbstractNanofluids represent a novel heat transfer liquid, making them an efficient medium for enhancing energy transmission. Nevertheless, significant knowledge gaps still exist concerning current strategies for improving heat transfer in nanofluids, underscoring the necessity for comprehensive research on these fluid systems. Therefore, this study considered theoretical analysis retrieves the influence of radiative two‐dimensional stagnation point flow of second‐grade micropolar fluid flow about an elongated channel surface implanted in porous media with magnetic effect, and modified heat and mass flux is under consideration. The major novel effect of the current study is to analyze the activation energy and thermal aspect of the system in the presence of nonlinear radiation effects that are considered in the revised mathematical framework by utilizing the boundary layer theory. The resulting set of coupled partial differential equations is further reduced and transformed into a dimensionless system of ordinary differential equations through appropriate scaling invariants. We initiate the RKF‐45 investigation scheme to numerically analyze the transformed dimensionless system, considering relevant parameters. The computational algorithm is implemented using MATLAB programming syntax. Plotted visuals are revealed for leading parameters against pertinent flow profiles graphically and with numerical data. Additionally, the convergence analysis of the numerical results for various flow profiles of the fluids were compared to establish the authenticity of the proposed flow problem. These research findings play a significant role in controlling heat transfer rates and fluid velocities in diverse manufacturing processes and industrial applications, ultimately aiding in achieving the desired product quality.

A numerical study on model-based comparative analysis for MHD Magnetite (Fe3O4) and Cobalt Ferrite (CoFe2O4) flow past a heated shrinking Riga surface with radiative heat flux

Magnetic nanofluids exhibit remarkable ideas from their inherent ability to be externally controlled and to undergo changes in their physical characteristics. These changes, influenced by several factors such as volume concentration of nanoparticles and the strength of the applied magnetic field, those have a range of potential applications. With this understanding in mind, the current study adopts a model-based approach to probe the behavior of magnetohydrodynamic (MHD) stagnation point flow. This flow involves a hybrid nanofluid consisting of Fe3O4 (magnetite) and CoFe2O4 (cobalt ferrite) nanoparticles dispersed in water (H2O), through a heated shrinking Riga surface with velocity slip. The investigation integrates the influential conductivity models such as Hamilton-Crosser and Yamada-Ota models. Employing a numerical methodology, the dimensionless system is solved those are derived by implementing appropriate similarity transformation. Specifically, the Runge-Kutta-Fehlberg (RKF) procedure is synergistically employed in conjunction with the shooting method. The outcomes of the study reveals that; the enhanced volume concentration that enriches the physical quantities favours in augmenting the fluid temperature and the profile also enhances for the increasing thermal radiation.

Upper-convected flow of Maxwell fluid near stagnation point through porous surface using Cattaneo-Christov heat flux model

The aspiration of this study is to concentrate on a numerical inspection of the magnetohydrodynamic stagnation point flow of Maxwell fluid over upper-convected Joule heating effects by engaging the Cattaneo-Christov heat flux model. For motivation of the problem, the influence of heat and mass transfer are taken into account. The set of proposed model nonlinear partial differential equations is renovated into a couple of ODEs by exercising helpful similarity functions. Numerical elucidation of these model ODEs is obtained by the well-known scheme shooting approach, and the acquired numerical outcomes are compared with the Bvp4c command of MATLAB. Impression of several emerging parameters on velocity f′, temperature θ′ and concentration φ′ field are explained by graphs and tables. We observed that the velocity distribution reduced for the ascending value of the Deboreh number Γ magnetic number M. The enrichment in the values of the Prandtl number Pr decreased in the temperature profile. In-depth discussion is had regarding how various physical factors affect flow and heat transfer characteristics.

Numerical examination of wall properties for the magnetohydrodynamics stagnation point flow of micro-rotating fluid subject to weak concentration

In this investigation, stagnation point flow of non-Newtonian fluid is considered under the impact of magnetohydrodynamics, porous medium, and mixed convection effects. Additionally, angular momentum and energy transport constitutive equations are also taken into account in order to explore the fluid micro-rotational effects. The fluid motion develops by virtue of linear stretching and slip factors. Furthermore, the energy transport equation is raised with the effect of viscous dissipation and heat source phenomena. Mathematical formulations lead to a set of ordinary differential equations by introducing similarity variables. The proposed model has been solved numerically using fourth-order Runge–Kutta method with shooting technique. Influence of pertinent flow parameters for the case of weak concentration of micro-elements on velocity, temperature, skin friction, and local heat flux at the surface is computed and discussed. Different ranges are chosen for the flow parameters, for example; magnetic field variation is taken [0, 0.9], micro-rotation [0,1], stretching ratio [0,0.2], surface condition [0,1], the Prandtl number [3, 12], and the Eckert number [3, 11]. The fluid velocity slows down when the magnetic number varies from 0.0 to 0.5 in the presence of weak concentration (m = 0.5) of micro-elements. In addition, the maximum increasing percentage of skin friction is obtained when the porosity parameter varies from 0.0 to 0.6. The maximum decreasing percentage of the Nusselt number is obtained when the thermal slip parameter varies from 0.0 to 0.8. The current study has multiple fascinating applications in polymeric solutions, bio-medical functions like magnetic drug targeting, heat conduction in tissues, surface roughness, and squeeze film lubrication problems between conical bearings.

MHD STAGNATION POINT FLOW WITH THERMAL RADIATION AND SLIP EFFECT OVER A LINEAR STRETCHING SHEET

This research investigates the flow of stagnation point magnetohydrodynamic (MHD) and heat transfer along the stretched sheet in the existence of radiation and slip effects. With the help of similarity variables, the governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs). The BVP4C technique in Matlab function has been used to simplify the governing ODEs. The numerical outcomes for temperature and velocity profiles, coefficient of skin friction and Nusselt Number have been achieved and matched with the findings in literature. The findings are compared to previously reported results. In addition, the impacts of numerous related parameters on the profiles of velocity and temperature are shown, and the results of every related parameter are presented using graphs. The velocity profile decreases as the magnetic force, suction, and permeability parameters rise.

A Computational Study on Magnetohydrodynamics Stagnation Point Flow of Micropolar Fluids with Buoyancy and Thermal Radiation due to a Vertical Stretching Surface

In current analysis, A numerical approach for magnetohydrodynamics Stagnation point flow of Micropolar fluid due to a vertical stretching Surface is reported. The impact of buoyancy forces is considered. In additions the effects of the thermal radiation and thermal conductivity with non-zero mass flux have been analyzed. we implement the dimensionless variable technique and the systems of coupled non-linear PDEs are transformed into ODEs by using the appropriate similarity technique. Moreover, by using package ND-Solve on Mathematica problem is numerically integrated with the help of shooting technique. Numerical approach for magnetohydrodynamics Stagnation point flow of thermal Radiative Micropolar fluid due to a vertical stretching Surface. The impact of thermophoresis and Brownian motion are considered. We implement the dimensionless variable technique and the systems of coupled non-linear PDEs are transformed into ODEs by using the appropriate similarity technique. To observe the influence of the physical parameters, graphically valuations are performed for numerous emerging parameters like Brownian motion, mixed convection parameters, thermophoresis diffusion, Hartman number, Radiation parameter, Prandtl number, Stretching parameter and other dimension less parameters. These several protuberant parameters of interest are engaged for velocity, temperature and nonlinear micro rotation profile and studied in detail.

Unsteady mixed convective MHD boundary stagnation point nanofluid flow with multi-slip effects, variable wall temperature and porosity phenomenon

This research highlights the physical significance of nanoparticle in magnetohydrodynamics (MHD) stagnation point flow (SPF) over a stretchable surface with porosity effect and boundary slip phenomenon. The nanoliquid and its advanced thermal activity are shown extra auspicious results when the flow is considered over a permeable (porous) medium. In addition, the nanoparticles of radius size play an important role in the thermal performance of nanofluid. In this work, copper is accounted as a nanoparticle and water as a base fluid. Nanomanufacturing, surface engineering, coatings, nanofabrication and tribology are some of the important and special mechanical characteristics of nanoparticles [D. Guo, G. Xie and J. Luo, J. Phys. D, Appl. Phys. 47, 013001 (2014)]. The flow is electrically conducted in the presence of applied magnetic field. Mixed convection, Joule heating and viscous dissipation effects are accounted in the mathematical modeling. Appropriate similarity variables are used to convert the couple governing system of PDEs into ordinary ones and results are computed through bvp4c via shooting concept. From the obtained results, it is divulged that the velocity field increases against higher estimations of unsteady parameter, while it declines versus larger magnetic parameter and radius of nanoparticles. The engineering interest like skin friction and Nusselt number is mathematically calculated and results are computed in a tabular form, and their obtained outcomes show that the magnitude of skin friction rises against unsteadiness parameter and radius of nanoparticles. This study is an extended work of [Verma et al. Chem. Eng. J. Adv. 12, 100366 (2022)] with some extra flow assumptions like MHD, SPF, Joule heating, heat generation/absorption and viscous dissipation. Obtained results are compared with [Grubka and Bobba J. Heat Transf. 107, 248 (1985)], Verma et al. [Chem. Eng. J. Adv. 12, 100366 (2022)] and [Elbashbeshy and Emam Therm. Sci. 15, 477 (2011)] found 100% accuracy with them. The most important result of the conducted study is that the skin friction coefficient immensely augments subject to larger estimations of radius of nanoparticles when permeability of porosity is less.