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In the current exploration, a similarity solution is bestowed for hydromagnetic motion of a nanofluid over a slendering stretching sheet with the existence of thermophoresis and Brownian moment. We first altered the time dependent governing mathematical equations into coupled dimensionless differential equations by making use of apposite transmutat...
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The problem of two-dimensional steady laminar MHD boundary layer flow past a wedge with heat and mass transfer of nanofluid embedded in porous media with viscous dissipation, Brownian motion, and thermophoresis effect is considered. Using suitable similarity transformations, the governing partial differential equations have been transformed to nonl...
An analysis is performed to study the combined effects of nonlinear thermal radiation, Arrhenius activation energy, chemical reaction and heat generation/absorption on the steady three-dimensional magnetohydrodynamic flow of Eyring-Powell nanofluid flow over a slendering stretchable sheet with velocity, thermal and solutal slips. The prevailing par...
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The current study analyzes the effects of modified Fourier and Fick's theories on the Carreau-Yasuda nanofluid flow over a stretched surface accompanying activation energy with binary chemical reaction. Mechanism of heat transfer is observed in the occurrence of heat source/sink and Newtonian heating. The induced magnetic field is incorporated to b...
Enhancement in thermal distribution of Williamson hybrid nanofluid flow is articulated in this research. Nichrome and TC4 nanoparticles are homogenously diffused in the water, which is the base fluid. An elongating surface holds the flow and thermal transition phenomenon in the existence of uniform sources of magnetic field and heat radiation. The...
Citations
... In their study, the flow of nanofluid is modelled by using two-phase Buongiorno's model. However, earlier works on unsteady non-linear stretching surface were discussed in [31][32][33][34][35]. The recent investigations on nanofluids by considering the effects of magnetic field, porous media, radiation and heat source/sink, are investigated in [36][37][38][39]. ...
This article investigates the impact of time-dependent magnetohydrodynamics free convection flow of a nanofluid over a non-linear stretching sheet immersed in a porous medium. The combination of water as a base fluid and two different types of nanoparticles, namely aluminum oxide (Al2O3) and copper (Cu) is taken into account. The impacts of thermal radiation, viscous dissipation and heat source/sink are examined. The governing coupled non-linear partial differential equations are reduced to ordinary differential equations using suitable similarity transformations. The solutions of the prin-cipal equations are computed in closed form by applying the MATLAB bvp4c method. The velocity and temperature pro-files, as well as the skin friction coefficient and Nusselt number, are discussed through graphs and tables for various flow parameters. The current simulations are suitable for the thermal flow processing of magnetic nanomaterials in the chemical engineering and metallurgy industries. From the results, it is noticed that the results of copper nanofluid have a better impact than those of aluminium nanofluid.
... The effects of a magnetized generalized Maxwell flow model on an infinitely vertically accelerated barrier having a slip impact were investigated by Imran et al. [46]. When the slip situation improves, the velocity curves improve [47][48][49][50]. Ashraf et al. [51] documented the impact of varying density on oscillatory motion by a means of a horizontally positioned circular cylinder. ...
... Xenos [4] elaborated on some characteristics of fluid that was electrically conducting and having numerous applications in industrial processes; for instance, magnetohydrodynamic generators, geothermal and aerodynamic processes, MHD pumps, and nuclear reactors. Reddy et al. [5] explored the importance of combined flow because of MHD effects and stretching. Some sensational explorations in this area can be consulted in Refs. ...
... Buongiorno [2] advised on the most interesting slip features and thermo-physical aspects of nanoparticles, namely thermophoresis and Brownian motion, by developing a non-homogeneous model for the transportation equations. Reddy et al. [3] constituted the slip effects in an unsteady MHD flow of nanofluid along with thermophoresis and Brownian movement features endorsed by a slendering surface. Usman et al. [4] derived a numerical solution for the movement of Casson fluid immersed in nanoparticles with slip effects. ...
The bioconvective flow of non-Newtonian fluid induced by a stretched surface under the aspects of combined magnetic and porous medium effects is the main focus of the current investigation. Unlike traditional aspects, here the viscoelastic behavior has been examined by a combination of both micropolar and second grade fluid. Further thermophoresis, Brownian motion and thermodiffusion aspects, along with variable thermal conductivity, have also been utilized for the boundary process. The solution of the nonlinear fundamental flow problem is figured out via con-vergent approach via Mathematica software. It is noted that this flow model is based on theoretical flow assumptions instead of any experimental data. The efficiency of the simulated solution has been determined by comparing with previously reported results. The engineering parameters' effects are computationally evaluated for some definite range.
... After that many researchers [4][5][6][7][8][9][10] applied and study different effects on MHD flow due to a revolving disk. Brownian movement and thermophoresis is applicable in all the streams such as economy physics atomic theory, etc. the research in this part has been done by many authors [11][12][13][14][15][16]. In the fluid mechanics a lot of useful work has been done by different researchers S142 THERMAL SCIENCE: Year 2023, Vol. 27, Special Issue 1, pp. ...
The motive of this study is to investigate the spinning fluid-flow due to
revolving disk for the magnetic unsteady Brownian motion of viscous
nanofluid. Here the disk is assumed to have an inverse linear angular
velocity. In this paper mass transfer is incorporated in the analysis with
the existing problem. The array of equation for the unsteady flow firstly
converted into dimensionless non-linear equation using appropriate
transformation and then the dimensionless system of equation is further
solved numerically utilizing MAPLE software. The different emerging
parameters mainly magnetic parameter, variable viscosity, Prandtl number,
Eckert number, thermophoresis, and Brownian motion parameter has been
investigated through graphs and shown in tabular form also.
... Imran et al. [40] examined the behavior of an MHD generalized Maxwell fluid when it was applied to an exponentially accelerating infinite vertical surface along with a slip condition. According to Reddy et al. [41], a rise in the slip condition causes the velocity profiles to increase as well. ...
Citation: Lund, L.A.; Chandio, A.F.; Vrinceanu, N.; Yashkun, U.; Shah, Z.; Alshehri, A. Darcy-Forchheimer Magnetized Nanofluid flow along with Heating and Dissipation Effects over a Shrinking Exponential Sheet with Stability Analysis. Micromachines 2023, 14, 106. https:// Abstract: Nanoparticles have presented various hurdles to the scientific community during the past decade. The nanoparticles dispersed in diverse base fluids can alter the properties of fluid flow and heat transmission. In the current examination, a mathematical model for the 2D magnetohydro-dynamic (MHD) Darcy-Forchheimer nanofluid flow across an exponentially contracting sheet is presented. In this mathematical model, the effects of viscous dissipation, joule heating, first-order velocity, and thermal slip conditions are also examined. Using similarity transformations, a system of partial differential equations (PDEs) is converted into a set of ordinary differential equations (ODEs). The problem is quantitatively solved using the three-step Lobatto-three formula. This research studied the effects of the dimensionlessness, magnetic field, ratio of rates, porosity, Eckert number, Prandtl number, and coefficient of inertia characteristics on fluid flow. Multiple solutions were observed. In the first solution, the increased magnetic field, porosity parameter, slip effect, and volume percentage of the copper parameters reduce the velocity field along the η-direction. In the second solution, the magnetic field, porosity parameter, slip effect, and volume percentage of the copper parameters increase the η-direction velocity field. For engineering purposes, the graphs show the impacts of factors on the Nusselt number and skin friction. Finally, the stability analysis was performed to determine which solution was the more stable of the two.
... Reddy et al., [32] elucidate the radiation and chemical reaction effects on MHD flow along a moving vertical porous plate. Reddy et al., [33] elucidate the combined thermophoresis along with Brownian motion effects on the unsteadiness of MHD nano liquid flow. Meanwhile, many authors have done their research work on MHD fluid flows along the thermal radiation effects on vertical and stretching surface [34][35][36][37][38][39][40][41][42][43]. ...
This study is aimed at testing the significance of Brownian movement and thermophoresis dispersion on MHD Casson nano liquid limit layer stream past a nonlinear slanted permeable extending surface, with the impact of convective limits and warm radiation with a synthetic response. Nonlinear ODEs are gotten from overseeing nonlinear PDEs by utilizing good comparability changes. The amounts related to building angles, for example, skin grating, Nusselt and Sherwood numbers alongside different effects of factors from the material on the speed and temperature, are outlined. Numerical consequences of the current investigation are acquired through the Runge-Kutta Fehlberg strategy alongside the shooting procedure and in a constraining sense are diminished to the distributed outcomes for a precision reason.
... The MHD flow is crucial to the production of construction technology, astrophysicist, solar power apparatus, electricity generation, spacecraft, and numerous other disciplines [20][21][22][23]. Shuaib et al. [24] calculated the heat transmission, and three-dimensional (3D) incompressible viscous fluid flow on the surface of an extending rotating disc. ...
The current study revealed a comprehensive assessment of three-dimensional Jeffery fluid flow under the significances of thermal radiation and MHD across a stretching irregular permeable sheet. The flow phenomena have been studied with an additional effect of Darcy media, Arrhenius activation energy, slip conditions, heat source and chemical reaction. The modeled have been expressed in form of system of nonlinear PDEs. Which are degraded and dimensionalise by the similarity replacement to the set of ODEs. The Matlab package bvp4c (boundary value solver) is employed to estimate the numerical solution of the problems. The influence of several physical factor on velocity, mass and energy outlines are revealed through Tables and Figures. It is perceived that the Jeffery fluid motion drops with the growing values of porosity term, while amplified with the rising influence of wall thickness factor. The rising values of Darcy Forchhemier and magnetic field factor diminish the velocity curve in both x & y directions. Furthermore, the temperature curve intensifies with the addition of porosity factor and Deborah number while lessening with the rising influence of power index.
... Cattaneo Christov's heat flux model investigates heat transfer characteristics. Finally, Reddy et al. [27] explored a similar solution in the existence of Thermophoresis and Brownian parameters for hydromagnetic movement of a nanofluid over a slandering stretching sheet. Dogonchi et al. [28] recently investigated the effect of radiation on the heat transfer of nanofluid flow using permeable media. ...
The numerous applications of Maxwell Nanofluid Stagnation Point Flow, such as those in production industries, the processing of polymers, compression, power generation, lubrication systems, food manufacturing and air conditioning, among other applications, require further research into the effects of various parameters on flow phenomena. In this paper, a study has been carried out for the heat and mass transfer of Maxwell nanofluid flow over the heated stretching sheet. A mathematical model with constitutive expressions is constructed in partial differential equations (PDEs) through obligatory basic conservation laws. A series of transformations are then used to take the system into an ordinary differential equation (ODE). The boundary conditions (BCs) are also treated similarly for transforming into first-order ordinary differential equations (ODEs). Then these ODEs are computed by using the Shooting Method. The effect of factors on the skin friction coefficient, the local Nusselt number, and the local Sherwood number are explored, and the results are displayed graphically. The obtained results demonstrate that by increasing the values of the Maxwell and slip velocity parameters, velocity deescalates. For investigators tasked with addressing unresolved difficulties in the realm of enclosures used in industry and engineering, we thought this work would serve as a guide.
... It was uncovered that the local Nusselt number elevates when mounting the nanoparticle volume fraction values. Ramana Reddy et al. [6] addressed the time-dependent MHD flow of nanofluid past a slendering surface. It was detected that the fluid temperature progressed when enhancing the Brownian motion parameter. ...
This discussion intends to scrutinize the Darcy-Forchheimer flow of Casson-Williamson nanofluid in a stretching surface with non-linear thermal radiation, suction and heat consumption. In addition, this investigation assimilates the influence of the Brownian motion, thermophoresis, activation energy and binary chemical reaction effects. Catteneo-Christov heat-mass flux theory is used to frame the energy and nanoparticle concentration equations. The suitable transformation is used to remodel the governing PDE model into an ODE model. The remodeled flow problems are numerically solved via the BVP4C scheme. The effects of various material characteristics on nanofluid velocity, nanofluid temperature and nanofluid concentration, as well as connected engineering aspects such as drag force, heat, and mass transfer gradients, are also calculated and displayed through tables, charts and figures. It is noticed that the nanofluid velocity upsurges when improving the quantity of Richardson number, and it downfalls for larger magnitudes of magnetic field and porosity parameters. The nanofluid temperature grows when enhancing the radiation parameter and Eckert number. The nanoparticle concentration upgrades for larger values of activation energy parameter while it slumps against the reaction rate parameter. The surface shear stress for the Williamson nanofluid is greater than the Casson nanofluid. There are more heat transfer gradient losses the greater the heat generation/absorption parameter and Eckert number. In addition, the local Sherwood number grows when strengthening the Forchheimer number and fitted rate parameter.
