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The current paper aims to analyse the magnetic behaviour on squeezing flow of hybrid-nanofluid. Additionally, features of activation energy and chemical reaction are introduced. Aluminium oxide (Al2O3) and copper (Cu) are taken as nanoparticles in hybrid-nanofluids. The flow model is taken with no-slip conditions. To convert the leading PDEs to ODEs we use apposite similarity transformations and solve numerically utilizing the RK technique with the abetment of the shooting method. The upshot of some parameters on the flow system is accomplished precisely through figures and charts. Significances of variable parameters on skin friction, Nusselt number and Sherwood number are mathematically deliberated. The consequence approves that the rate of mass transmission is in a linear association with activation energy, and it discloses a reverse linking with the chemical reaction parameter. The outcomes confirm that amount of heat transport is improved in presence of magnetic field due to the squeezing flow.

Nanofluid has a wide range of uses in various fluid systems, because of its excellent growth in thermal conductivity. The current paper explores the transfer of heat and mass process in MHD nanofluid flow across a stretching sheet, considering the collective impacts of nonlinear thermal radiation, Joule heating, and binary chemical reactions with convective boundary conditions for Williamson nanofluid. The necessary transformations are carried out to alter the controlling PDE’s into a collection of linked ODE’s. The shooting approach, in conjunction with the fourth-order Runge–Kutta method, is employed to get solutions to highly nonlinear ODE’s. The impact of varied main factors on velocity, temperature, concentration, for Weissenberg number, Biot number along with other parameters are depicted graphically, whilst the change in the rate of heat and mass transfer is investigated via numerical data in tabular form. The acquired numerical data show that expanding the Eckert number diminishes the rate of mass transfer whereas expanding the thermal radiation parameter, expandsthe rate of heatand rate of mass transfer.

This work presents a numerical and an analytical review of analysis of the convective phenomenon in a non-Newtonian nanofluid layer with the applied vertical magnetic field and having an internal heating source. Buongiorno model is used to examine the convective instability considering the impacts of thermophoresis, Brownian diffusion, and viscoelasticity of the nanofluid. The effect of significant parameters concerning stability is visualized through graphs and further interpreted. For the non-linear study, the fundamental PDEs are converted into non-linear simultaneous autonomous ODEs. The solutions are computed by taking the help of the software Mathematica. Nusselt number and Sherwood number are graphed for numerous parametric situations to offer a clear outlook of heat and mass transfer rate. The magnetic field parameter stabilizes the system and diminishes heat and mass transfer. Elevating the internal heat parameter promotes heat and mass transfer significantly. Viscoelasticity of the fluid affects prominently since non-Newtonian fluid yields lower heat and mass transfer coefficients than Newtonian fluid due to advancement of the convection.

We obtain the clean semi-analytical solutions with method of directly defining inverse mapping (MDDiM) to the system of nonlinear equations arising in the magnetohydrodynamic (MHD) convection motion of Molybdenum disulfide (MoS2) engine-oil intrinsic nanofluid in a circumnavigatethe structure is considered for analysis. Finding the solutions by using MDDiM is a novel idea and first time solving for the system of nonlinear partial differential equations. We have chosen inverse linear mapping for the five-term solution and it emphasizes by residual error and this gives the low error (10−2 to 10−17) and can easily derive deformation terms by spending very low CPU time. Based on the proposed method, the convergence rate, accuracy, and efficiency of the governing equations are demonstrated, and result outputs shown in tabular and graphically, which exhibit meaningful structures and advantages in science and engineering.

The current research examines the characteristic of dissipative heat energy owing to the inclusion of a magnetic field here on the two-dimensional flow of an electrically conducting hybrid nanofluid past an expanding surface. Additionally, the free convection of hybrid nanofluid thermal properties is enhanced with the inclusion of the Joule heating effect as well as the thermal radiation in the heat transfer phenomenon. These physical properties were influenced as a result of the combination of the nanoparticles Al2O3 and Cu into the base liquid ethylene glycol. The novelty arises due to the interaction of thermal conductivity employing the Mintsa model and the viscosity using the Gharesim model. The transformed governing set of nonlinear equations obtained with the assistance of suitable similarity transformations are solved numerically using the Runge-Kutta fourth-order shooting base technique. A good correlation between the earlier studies is obtained in specific cases showing the convergence criteria of the present procedure. Further, the physical significance of the contributive parameters is presented through graphs and tables. The observation shows that the particle concentration for the hybrid nanofluid augments the fluid velocity. Moreover, the inclusion of dissipative heat favors enhancing the fluid temperature for the involvement of the particle concentration.

This work is focused on Magneto hydrodynamic unsteady flow of Newtonian fluid flow over a perpendicular porous plate along with chemical reaction, heat, and mass transfer. The induced magnetic field and viscous and magnetic dissipation properties are considered throughout the porous plate. Heat source is the added effect in the model to observe the nature of flow in this work. This study finds its applications in understanding the storage of flues, disposal of radioactive waste materials, flow in water purifies, etc. The nonlinear behavior of the governing equation motivates us to use a finite difference approach for solving equations. The major resolution of this research is to work on how the physical elements affect velocity, temperature, concentration, and magnetic field. Fascinating facts are noticed as the unsteady fluid velocity rises with the heat source parameter because as the heat of a material increases, the movement of the fluid particle will be fast. Due to the presence of a magnetic field high thermal radiation is observed at high temperature and concentration. As the magnetic parameter and magnetic field are inversely proportional according to an induced magnetic field, it is noticed that their magnetic field declines for higher values of magnetic Prandtl number & magnetic parameter. This work has dynamic prominence in the field of medicine and engineering, which develops interest among young researchers.

An analysis is presented for the stagnation-point two-dimensional fluid flow of hybrid nanofluid towards an expanding surface characterized by the induced magnetic field. Further, the consideration of thermal buoyancy and additional heat source enhances the flow phenomena with various physical parameters involved in it. This work has significant novelty due to the behavior of the convective boundary conditions. Besides, due to the convective term the nonlinear differential equations designed in this problem are incorporated and are resolved numerically by executing the Runge–Kutta–Fehlberg method. The key resolution of this new paper is to examine the special effects of numerical variation in different parameters on the functions with the profiles of velocity, induced magnetic field profile, and energy of hybrid nano liquid. Additionally, three different classes of nanosized particle configurations named brick, cylinders, and platelets shapes are examined for the implementation of the Hamilton–Crosser thermal conductivity model. In the end, the influences characterizing the local Nusselt number and the coefficient of skin friction profiles have been discussed for unalike shapes of nanosized particles are discussed. In the above study, it is found that the platelet-shaped nanosized particle is more efficient in comparison to the other shapes considered herein. Further, particle concentration and particle shape are also favorable in enhancing fluid temperature in hybrid nanofluids in contrast to pure fluid.

The proposed flow problem is to analyze the behavior of dissipative heat on the time-dependent stagnation motion of nanofluids through a permeable surface. A novel approach to thermal buoyancy through the permeable medium enriches the flow properties. In the recent industrial applications for the cooling processes of the device, like the physiological application of the blood flow inside the capillary tube-like artery, drug delivery system, etc., the role of nanofluid is crucial. The proposed model equipped with various physical properties is used to design and subsequent transformation into a non-dimensional form is obtained for a set of similarity variables. Proposed models with different physical properties are designed and subsequent dimensionless transformations are obtained for a similar set of variables. In addition, shooting based Runge-Kutta fourth-order numerical technique is used to solve boundary value problems for nonlinear ordinary systems. The characteristics of the diversified quantities are presented graphically as well as numerically on the flow profile and other profiles. Furthermore, statistical approaches such as t-tests for simulated results of rate coefficients are also presented and validated with the obtained results. However, the important outcomes are presented as; the fluid velocity is controlled by the inclusion of the particle concentration as well as the magnetic parameter further the particle concentration and the dissipative heat encountered by the inclusion of Eckert number enhances the fluid temperature.

In this paper, the impact of thermal slip and slip velocity on ZrO2 (Zirconia)–water nanofluid flow through a vertically heated permeable stretching sheet surrounded by a porous medium has been deliberated. The concept of thermal radiation is assimilated into the study. Using similarity transformations, the concerned governing flow model is changed into nonlinear ODEs and gets a solution by the R-K method. The consequence of numerous pertinent parameters in the fluid flow arena is deliberated by employing graphical and tabular approaches. The current investigation will be supportive of understanding the thermal features of heat transfer nanofluids. Outcomes of the present effort are compared with that of previously published works and found a commendable level of settlement. Our analysis sightsees that Zirconia–water achieves high temperatures due to thermal radiation. Also, it is found that Zirconia–water nanofluid lessens the heat transfer rate related to their base fluid.

The heat transfer characteristics for the flow of a time-dependent hybrid nanofluid with thermal radiation and source/sink over a stretching/shrinking sheet are examined in the current investigation. We have transformed the governing equations of the presented study into the similarity equations utilizing similarity variables. However, a numerical solution is obtained by using in-build MATLAB code bvp5c. The mass and energy profiles for diverse values of thermophysical parameters are studied together with their physical quantities. It is observed that dual solutions exist, that is, one is upper, and the other is lower branch solution for a definite choice of the unsteadiness parameter. Also, stability analysis is executed to determine the long-term stability of dual solutions, indicating that out of the two, only one is stable and the other is unstable. It is revealed that comparatively, the first solution shows stability, while the second solution shows instability. There is a considerable influence of second-order slip on the problem’s respective flow and heat transfer characteristics. Further, major outcomes also show the dimensionless frictional stress and the magnitude of conventional heat transfer enhancement with growing suction parameter values.

aims: In the present study, a hydromagnetic Williamson nanofluid passed through a stretching sheet embedded in a porous media is being analyzed by assuming the impact of thermal radiation and magnetic field on the flow properties. background: Previously, many researchers have studied nanofluid flow, but hydromagnetic Williamson nanofluid passed through a stretching sheet embedded in a porous media will be a new finding among all researchers. objective: Our objective is to study a hydromagnetic Williamson nanofluid passed through a stretching sheet embedded in a porous media is being analyzed by assuming the impact of thermal radiation and magnetic field on the flow properties. method: By using appropriate similarity transformation the governing equations with boundary conditions were converted into a dimensionless form. The derived ordinary differential equation was solved using Spectral local linearisation method. result: The outcomes indicate that velocity reduces with increase in Williamson, Porosity and Magnetic field parameters, whereas the concentration profile improves with these parameters. Entropy generation rate is also enhanced when the Reynolds number, concentration difference parameter and Brinkman number are increased. conclusion: The results have been validated with existing research and our results are found to be in excellent agreement. other: The study finds that good agreement is achieved.

This study deals with the mechanism of transfer of heat and mass in the magnetohydrodynamic flow of Casson nanofluid past an extended sheet and the examination of how the motion gets affected due t...

A plain linear penetrable contracting sheet with slip over a micro-polar liquid with a stagnation-point flow is analyzed. Through similarity mapping, the mathematical modeling statements are transformed as ODE’s and numerical results are found by shooting techniques. The varying impacts of physical quantities on the momentum, micro-rotation, and temperature were demonstrated through graphs. The computed measures including shear and couple stress with distinct measures of factors involved in this proposed problem are presented through a table.