Significance of nonlinear thermal radiation in 3D Eyring–Powell nanofluid flow with Arrhenius activation energy

Muhammad, Taseer; Waqas, Hassan; Khan, Shan Ali; Ellahi, R.; Sait, Sadiq M.

doi:10.1007/s10973-020-09459-4

Cited by 153 publications

(65 citation statements)

References 68 publications

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“…Keeping in mind the nonsimilarity characteristic of some flow problems causing by the non-Newtonian behaviour of the flowing fluids, Amanulla et al [9] carried out an accurate numerical implementation to find nonsimilar solutions for the momentum and thermal boundary layers developed in a non-Darcy porous medium during the steady two-dimensional MHD free convection flow of a Prandtl-Eyring fluid past over an isothermal sphere under the effective influences of buoyancy forces and various slip conditions. Earlier, Muhammad et al [10] exploited Buongiorno's mathematical formulation along with the generalized Fourier-Fick's law and Rosseland's approximation to establish a theoretical nanofluid model allowing to evaluate more efficiently the Cattaneo-Christov heat transfer for a three-dimensional MHD-EMHD convective flow of an Eyring-Powell nanofluid flowing horizontally over an elongated Riga plate by considering the effects of nonlinear thermal radiation, activation energy, velocity slip condition, and convective heating. To explore the impact of shear-thinning and shear-thickening rheological properties on different kinds of transportation phenomena in non-Newtonian nanofluids under the combined effect of Brownian motion and thermophoresis diffusion of solid nanomaterials, Hayat et al [11] extended the Sisko rheological fluid model [12] along with Buongiorno's mathematical formulation [13] and the vanishing mass flux condition for nanoparticles [14,15] to simulate a threedimensional MHD forced convective nanofluid flow over a nonisothermal surface, which is taken to be materially impermeable, heated convectively, and stretched bidirectionally via linear velocities.…”

Section: Introductionmentioning

confidence: 99%

A Novel Numerical Procedure for Simulating Steady MHD Convective Flows of Radiative Casson Fluids over a Horizontal Stretching Sheet with Irregular Geometry under the Combined Influence of Temperature-Dependent Viscosity and Thermal Conductivity

Wakif

2020

Mathematical Problems in Engineering

109

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A novel mathematical computing analysis for steady magnetohydrodynamic convective flows of radiative Casson fluids moving over a nonlinearly elongating elastic sheet with a nonuniform thickness is established successfully in this numerical exploration. Also, the significance of an externally applied magnetic field with space-dependent strength on the development of MHD convective flows of Casson viscoplastic fluids is evaluated thoroughly by including the momentous influence of linear thermal radiation along with the temperature-dependent viscosity and thermal conductivity effects. By combining the assumption of the low-inducing magnetic field with the boundary layer approximations, the governing partial differential equations monitoring the current flow model are transmuted accordingly into a set of nonlinear coupled ordinary differential equations by invoking appropriate similarity transformations. Moreover, these derived differential equations are resolved numerically by utilizing a new innovative GDQLLM algorithm integrating the local linearization technique with the generalized differential quadrature method. On the other hand, the behaviours of velocity and temperature fields are deliberated properly through various graphical illustrations and different sets of flow parameters. However, the accurate datasets generated for the skin friction coefficient and local Nusselt number are presented separately in tabular displays, whose physical insights are discussed comprehensively via the slope linear regression method (SLRM). As main results, it is demonstrated that the higher values of the Casson viscoplastic parameter reduce significantly the fluid velocity within the boundary layer region, while a partial reverse tendency is observed near the stretching sheet as long as the wall thickness parameter is increased. Besides the previously mentioned hydrodynamical features, it is also depicted that the thermal field throughout the medium is enhanced considerably with the elevating values of these parameters.

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Section: Introductionmentioning

confidence: 99%

A Novel Numerical Procedure for Simulating Steady MHD Convective Flows of Radiative Casson Fluids over a Horizontal Stretching Sheet with Irregular Geometry under the Combined Influence of Temperature-Dependent Viscosity and Thermal Conductivity

Wakif

2020

Mathematical Problems in Engineering

109

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“…Some of the polymers employed in telecommunication appliances, agriculture, and medical are analyzed by Hussain et al [21]. Muhammad et al [22] investigated nonlinear thermal radiation in three-dimensional Eyring-Powell nanofluid flow with activation energy. Hussain and Muhammad [23] discussed convective heat transfer at the boundaries is incorporated by employing effective thermal conductivity of nanoliquid.…”

Section: Introduction E Low Thermal Conductivity Features Of Various Non-mentioning

confidence: 99%

Thermal Radiation Effects on Unsteady Stagnation Point Nanofluid Flow in View of Convective Boundary Conditions

Rasheed

Islam

Khan

et al. 2021

Mathematical Problems in Engineering

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The present communication particularizes nonlinear convective non-Newtonian stagnation point flow and heat transference effects in stretchable flow of nanofluid. Magnetohydromagnetic steady viscous flow of nanofluid is examined. Heat transfer attributes of nanofluids are addressed via a numerical algorithm. Conductivity and diffusivity characteristics of fluid are depending on temperature and concentration and furthermore, on mass conservation, momentum, energy, and concentration yield partial differential equations (PDEs). The boundary layer flow concept pioneered by Prandtl has been employed to simplify the nonlinear constitutive flow laws which are then changed to ordinary differential equations. A built-in bvp4c algorithm in Mathematica software yields convergent outcomes of nonlinear (ODEs) systems. A comprehensive analysis has been made elucidating the physical significance of various governing parameters effects presented graphically. Additionally, the flow nature was confirmed versus streamlines.

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“…The chemically reactive flow of magnetized Carreau nanofluid flow is a study by Ali et al [21]. Muhammad et al [22] studied the significance of nonlinear thermal radiation with a chemical reaction and Arrhenius activation energy in the 3D Eyring Powell nanofluids flow. Kalaivanan et al [23] discussed the chemical reaction rate effects on second-grade nanofluid along with activation energy.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Study for Magnetohydrodynamic (MHD) Tangent Hyperbolic Nanofluid Flow over a Faster/Slower Stretching Wedge with Activation Energy

et al. 2020

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The below work comprises the unsteady flow and enhanced thermal transportation for Carreau nanofluids across a stretching wedge. In addition, heat source, magnetic field, thermal radiation, activation energy, and convective boundary conditions are considered. Suitable similarity functions use to transmuted partial differential formulation into the ordinary differential form, which is solved numerically by the finite element method and coded in Matlab script. Parametric computations are made for faster stretch and slowly stretch to the surface of the wedge. The progressing value of parameter A (unsteadiness), material law index ϵ, and wedge angle reduce the flow velocity. The temperature in the boundary layer region rises directly with exceeding values of thermophoresis parameter Nt, Hartman number, Brownian motion parameter Nb, ϵ, Biot number Bi and radiation parameter Rd. The volume fraction of nanoparticles rises with activation energy parameter EE, but it receded against chemical reaction parameter Ω, and Lewis number Le. The reliability and validity of the current numerical solution are ascertained by establishing convergence criteria and agreement with existing specific solutions.

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Significance of nonlinear thermal radiation in 3D Eyring–Powell nanofluid flow with Arrhenius activation energy

Cited by 153 publications

References 68 publications

A Novel Numerical Procedure for Simulating Steady MHD Convective Flows of Radiative Casson Fluids over a Horizontal Stretching Sheet with Irregular Geometry under the Combined Influence of Temperature-Dependent Viscosity and Thermal Conductivity

A Novel Numerical Procedure for Simulating Steady MHD Convective Flows of Radiative Casson Fluids over a Horizontal Stretching Sheet with Irregular Geometry under the Combined Influence of Temperature-Dependent Viscosity and Thermal Conductivity

Thermal Radiation Effects on Unsteady Stagnation Point Nanofluid Flow in View of Convective Boundary Conditions

Finite Element Study for Magnetohydrodynamic (MHD) Tangent Hyperbolic Nanofluid Flow over a Faster/Slower Stretching Wedge with Activation Energy

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