Cattaneo–christov Heat Flux Model for Squeezed Flow of Third Grade Fluid

Shafiq, Anum; Jabeen, Sumaira; Hayat, Tasawar; Alsaedi, A.

doi:10.1142/s0218625x17500986

Cited by 24 publications

(15 citation statements)

References 27 publications

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“…Thus, it is more efficient as compared to perturbation technique and other conventional methods for solving nonlinear systems. It is applicable in most of nonlinear system of equations developed in science problems, engineering and finance without small or large parameters [40], [41], [42], [43], [44], [45]. For convergent series solutions through HAM, we assume,f0=1−e−η, θ0=α11+α1e−η, ϕ0=α21+α2e−η,scriptLf=f‴−f′, scriptLθ=θ″−θ, scriptLϕ=ϕ″−ϕ. Such that,scriptLf⁎[D1+D2eη+D3...…”

Section: Methodsmentioning

confidence: 99%

Characteristics of chemical reaction and convective boundary conditions in Powell-Eyring nanofluid flow along a radiative Riga plate

Rasool

Zhang

2019

Heliyon

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A typical base fluid such as water, oil or glycol is poor conductor of heat due to deficient thermo-physical properties. This deficiency is normally addressed by saturation of thermally strong conductive metallic nanoparticles such as Fe, Ti, Hg, Cu, Au into the base fluid resulting a stronger thermal conductivity, electric conductivity, heat and mass flux of the so formulated nanofluid. Nanoparticles having a diameter size less than 100 nano-meter are preferred in this formulation because these nano-sized particles stay suspended into the base fluid for a longer time-period. This communication aims to investigate the salient features of a nanofluid flow along a radiative Riga plate using Powell-Eyring model and convective boundary conditions. The flow model involves the effect of first order chemical reaction as well as the Brownian motion diffusion and Thermophoresis effects. Governing PDEs are transformed into ODEs using suitable transformations. HAM is applied for convergent series solutions to the boundary value problem. Impact of various parameters including Brownian motion, Thermophoresis, modified Hartman number, Lewis and Prandtl number on flow profiles is analyzed graphically. Parameters of physical interest like Skin-friction, Nusselt and Sherwood numbers are illustrated through numerical data. Effect of modified Hartman number is significant on flow profiles due to involvement of Riga plate. An efficiency is achieved in fluid flow and heat-mass flux through suspension of nanoparticles in base fluid.

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Section: Methodsmentioning

confidence: 99%

Characteristics of chemical reaction and convective boundary conditions in Powell-Eyring nanofluid flow along a radiative Riga plate

Rasool

Zhang

2019

Heliyon

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“…To overcome the constraint of the parabolic energy equation, Christov improvised the Fourier model by introducing the relaxation time and eradicating heat flux and termed it as the Cattaneo–Christov heat flux model. Shafiq et al 14 . explored the influence of modified Fourier heat flux on flow of a third grade liquid.…”

Section: Introductionmentioning

confidence: 99%

Hybrid nanofluid flow over a stretched cylinder with the impact of homogeneous–heterogeneous reactions and Cattaneo–Christov heat flux: Series solution and numerical simulation

Christopher¹,

Magesh²,

Gowda

et al. 2021

Heat Trans

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The Catteno–Christov heat flux plays a dynamic role in flow of heat enhancement in various manufacturing, industrial, and engineering applications. This present work focuses on the influence of Catteno–Christov heat flux model on Darcy–Forchheimer flow of a hybrid nanofluid placed in a porous medium. The formulation of the mathematical model is done by considering a fluid with two different nanoparticles Al2O3 and Cu dispersed in the water as the base fluid. The set of partial differntial equations is reduced by using similarity variables and boundary conditions to obtain ordinary differntial equations. The coupled nonlinear governing differential equations are solved using Runge–Kutta fourth–fifth order (RKF‐45). The impact of numerous dimensionless parameters on the velocity, thermal, and concentration profiles are plotted and studied. Furthermore, the coefficient of skin friction for the relevant parameters are analysed through graphs. Result reveals that, increase in the porosity parameter declines the velocity gradient and shoots up the thermal and concentration gradients. Inclination in magnetic parameter declines velocity and concentration profiles due to the Lorentz force. Enhancement in the thermal relaxation parameter declines the thermal profile. Inclination in homogeneous‐heterogeneous reaction parameters declines the mass transfer rate. Also, the well‐known differential transform method is used for the validity of RKF‐45 method and an impressive agreement is noticed between the results of RKF‐45 and DTM.

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“…First-order homogeneous chemical reaction term is also taken into account. Numerical and graphical results of the considered problems are solved via a homotopy analysis technique [52][53][54][55][56][57][58][59][60][61][62]. Wall drag coefficient and relevant flux rates are arranged and talked about for dimensionless rising parameters.…”

Section: Introductionmentioning

confidence: 99%

Thermosoluted Marangoni convective flow towards a permeable Riga surface

et al. 2020

Self Cite

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This study reveals the characteristics of chemical reaction on Marangoni mixed convective stream towards a penetrable Riga surface. The heat and mass phenomena are analysed within the sight of Dufour and Soret impacts. The administering partial differential equations system is converted into three nonlinear ordinary differential equations utilizing appropriately adjusted transformations. The resultant system of highly nonlinear equations is analytically solved by invoking the homotopy analysis method. Thereafter, the convergence of series solutions is discussed. The impact of appropriate parameters on various flow fields is thoroughly explained with the help of graphs and tables. The wall drag coefficient and relevant flux rates are arranged and discussed for dimensionless parameters. The outcomes show that the stronger Dufour effect of liquid causes a notable incremental variation in heat and mass flux, whereas an opposite trend is noted in the heat flux rate for the Soret effect. However, the mass flux is still found increasing for the stronger Soret effect.

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Cattaneo–christov Heat Flux Model for Squeezed Flow of Third Grade Fluid

Cited by 24 publications

References 27 publications

Characteristics of chemical reaction and convective boundary conditions in Powell-Eyring nanofluid flow along a radiative Riga plate

Characteristics of chemical reaction and convective boundary conditions in Powell-Eyring nanofluid flow along a radiative Riga plate

Hybrid nanofluid flow over a stretched cylinder with the impact of homogeneous–heterogeneous reactions and Cattaneo–Christov heat flux: Series solution and numerical simulation

Thermosoluted Marangoni convective flow towards a permeable Riga surface

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