Finite element solution of nonlinear convective flow of Oldroyd-B fluid with Cattaneo-Christov heat flux model over nonlinear stretching sheet with heat generation or absorption

Ibrahim, Wubshet; Gadisa, Gosa

doi:10.1016/j.jppr.2020.07.001

Cited by 53 publications

(18 citation statements)

References 43 publications

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“…Rawat and Kumar 27 investigated the Cu–water nanofluid flow towards a stagnation point over a stretching or shrinking surface with heat generation/absorption and the Cattaneo–Christov model. Ibrahim and Gadisa 28 studied the convective flow of Oldroyd‐B fluid over a nonlinear stretched surface with heat generation/absorption and the Cattaneo–Christov model. Muhammad et al 29 modeled and analyzed the flow of a viscous liquid in a porous medium with the Cattaneo–Christov model over an exponentially stretching curved surface.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of activation energy and thermal radiation effects on Oldroyd‐B nanofluid flow using the Cattaneo–Christov double diffusion model over a convectively heated stretching sheet

2021

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This paper investigates a theoretical model of a mixed convective Oldroyd‐B nanofluid with thermal radiation and activation energy effects. A thorough analysis is done by employing the nonhomogeneous Buongiorno model in the presence of velocity slip and suction. The surface is porous in nature, and nanoparticle mass flux is maintained passively at the surface. The thermal and concentration equations are modeled with the Cattaneo–Christov theory of heat and mass flux, respectively. Proper transformations are utilized for the conversion of transport equations and boundary conditions. The similarity solution is obtained through a numerical approach by utilizing the Runge–Kutta–Fehlberg method and shooting technique. The vital outcomes of this study and the influence of controlling parameters on the flow field, temperature, and concentration profiles are discussed graphically and in a tabular manner. Furthermore, a detailed discussion is provided to explain the results physically. The velocity of the nanofluid increases when the porosity parameter is increased, and temperature decreases with increasing thermal relaxation parameter. The outcomes elucidate that the suction parameter, thermal radiation parameter, and thermal relaxation parameter are positively correlated with the heat transfer coefficient. The result of passive control of nanoparticles at the surface is that the Brownian motion parameter has no influence on the temperature of the Oldroyd‐B nanofluid flow and rate of heat transfer at the surface.

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Section: Introductionmentioning

confidence: 99%

Numerical study of activation energy and thermal radiation effects on Oldroyd‐B nanofluid flow using the Cattaneo–Christov double diffusion model over a convectively heated stretching sheet

2021

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“…The fundamental steps and an outstanding description of this technique outlined by Jyothi [47], and Reddy [48]. It merits referencing that the finite element technique can solve the boundary value problem along with complex geometry precisely, rapidly, and accurately as compared to the finite difference method (FDM) [49,50] and solved many fluid-related engineering problems [51][52][53][54]. To solve the system of non-linear coupled partial differential Equations (7) to (9) together with boundary condition (10), firstly we consider:…”

Section: Finite Element Solutionsmentioning

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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“…Reddy and Kumar [10] delivered the impact of Cattaneo-Christov heat flux of micropolar fluid on carbon nanotubes. e 2D incompressible flow of heatgenerating/-absorbing Oldroyd-B fluid with Cattaneo-Christov heat flux on an uneven stretching sheet was portrayed by Ibrahim and Gadisa [11]. ey proved that the heat flux relaxation time parameter leads to thinning the thermal boundary layer thickness.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection and Thermally Radiative Flow of MHD Williamson Nanofluid with Arrhenius Activation Energy and Cattaneo–Christov Heat-Mass Flux

Eswaramoorthi¹,

Alessa

Sangeethavaanee³

et al. 2021

Journal of Mathematics

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In this paper, we explored the impact of thermally radiative MHD flow of Williamson nanofluid over a stretchy plate. The flow in a stretchy plate is saturated via Darcy–Forchheimer relation. Cattaneo–Christov heat-mass flux theory is adopted to frame the energy and nanoparticle concentration equations. Additionally, the mass transfer analysis is made by activation energy and binary chemical reaction. Activation energy is invoked through the modified Arrhenius function. The intention of the current investigation is to enhance the heat transfer rate in industrial processes. The non-Newtonian nanofluids have more prominent thermal characteristics compared to ordinary working fluids. The governing models are altered into ODE models, and these models are numerically solved by applying the MATLAB bvp4c algorithm. The graphical and tabular interpretations have scrutinized the impact of sundry distinct parameters. The fluid speed escalates for enhancing the Richardson number, and it falls off for higher values of the Weissenberg number. It is noticed that the fluid temperature declines for higher values of the Brownian motion parameter and it grows for larger values of the thermophoresis parameter. The activation energy enriches the heat transfer gradient and suppresses the local Sherwood number. Additionally, the more significant heat transfer gradient occurs in heat-absorbing nonradiative viscous nanofluid and a smaller heat transfer gradient occurs in heat-generating radiative Williamson nanofluid. Also, we noticed that a higher heat transfer gradient appears in the Fourier model than in the Catteneo–Christov model. In addition, the comparative results are confirmed and reached an outstanding accord.

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Finite element solution of nonlinear convective flow of Oldroyd-B fluid with Cattaneo-Christov heat flux model over nonlinear stretching sheet with heat generation or absorption

Cited by 53 publications

References 43 publications

Numerical study of activation energy and thermal radiation effects on Oldroyd‐B nanofluid flow using the Cattaneo–Christov double diffusion model over a convectively heated stretching sheet

Numerical study of activation energy and thermal radiation effects on Oldroyd‐B nanofluid flow using the Cattaneo–Christov double diffusion model over a convectively heated stretching sheet

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

Mixed Convection and Thermally Radiative Flow of MHD Williamson Nanofluid with Arrhenius Activation Energy and Cattaneo–Christov Heat-Mass Flux

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