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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.

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.

The current study investigates the intrinsic irreversibility phenomenon of a mixed convection and electrically conducting couple stress Casson fluid motion over a thermally stretching sheet. We have considered the combined effect of applied magnetic field, Brownian motion, thermal radiation, permeability, Casson parameter, and the stretching parameter on the entropy generation rate of the model. The first and second laws of thermodynamics have been applied to examine the flow problem. The obtained dimensionless structure of highly nonlinear ordinary differential equations is then solved numerically applying the overlapping grid spectral collocation method. This method has high accuracy and converges fast. The approximate solutions for velocity, temperature and concentration are used to evaluate the rate of entropy generation and some physical parameters of the flow. For engineering interest, we have obtained tabular results for the skin friction coefficient, Nusselt number, and the Sherwood number for pertinent parameters. We found that entropy generation rate is minimized when there is an increase in the applied magnetic field, thermophoresis parameter, Casson parameter, Brownian motion, and the energy variance parameter. Further, the entropy generation rate is increased by enhancing the stretching parameter, permeability parameter, the Biot number, and thermal radiation parameter.

Present paper aims to analyze three-dimensional (3D) motion of an electrically conducting nanofluid past an exponentially stretching sheet. Both metal and metal oxide nanoparticles (such as Cu, Al2O3, TiO2) in the base fluid (water) are examined. Nonlinear ordinary differential systems are obtained by suitable transformations. The crux of the analysis is the development of an estimated analytical result obtained by employing the “Adomian Decomposition Method” (ADM), an approximate analytical method. Momentum and energy descriptions with prescribed boundary conditions are employed. The velocity components and temperature are analyzed. Tabulated values are organized aimed at the outcomes of skin-friction coefficients and Nusselt number. Comparison with past limiting results is shown. Finally, the outstanding outcomes of the present result are; the velocity profile with the inclusion of particle concentration and magnetic parameter decelerate significantly and Al2O3 nanoparticles are favorable for the enhancement in the rate of heat transfer.