A new modeling for 3D Carreau fluid flow considering nonlinear thermal radiation

Khan, M. Ijaz; Irfan, M.; Khan, Waqar Azeem; Alshomrani, Ali Saleh

doi:10.1016/j.rinp.2017.07.024

Cited by 83 publications

(35 citation statements)

References 34 publications

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“…In Table 1, the Skin friction coefficients for varied values of λ is calculated. It is found that all obtained values are in total alignment to [11]. In Table 2, a comparison is tabulated for various magnetic parameters and stretching ratio parameter values against the skin friction coefficient along vertical and horizontal directions.…”

Section: Numerical Solutionsmentioning

confidence: 94%

“…This MATLAB built-in routine is verified by drawing Table 1, in which the results are compared with the previously published article in a limiting case. Previously, Khan et al [11] have used the same bvp4c technique to tackle the 3D Carreau fluid model. In Table 1, the Skin friction coefficients for varied values of λ is calculated.…”

Section: Numerical Solutionsmentioning

confidence: 99%

“…Tshehla [10] deliberated the flow of the Carreau fluid over an inclined plane. The nonlinear radiation impact on the 3D Carreau fluid flow was deliberated by Khan et al [11]. Khan et al [12] obtained the solution of the Carreau nanofluid flow analytically with entropy generation.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

MHD Boundary Layer Flow of Carreau Fluid over a Convectively Heated Bidirectional Sheet with Non-Fourier Heat Flux and Variable Thermal Conductivity

Mohammad

Ramzan

et al. 2019

Symmetry

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In the present exploration, instead of the more customary parabolic Fourier law, we have adopted the hyperbolic Cattaneo-Christov (C-C) heat flux model to jump over the major hurdle of "parabolic energy equation". The more realistic three-dimensional Carreau fluid flow analysis is conducted in attendance of temperature-dependent thermal conductivity. The other salient impacts affecting the considered model are the homogeneous-heterogeneous (h-h) reactions and magnetohydrodynamic (MHD). The boundary conditions supporting the problem are convective heat and of h-h reactions. The considered boundary layer problem is addressed via similarity transformations to obtain the system of coupled differential equations. The numerical solutions are attained by undertaking the MATLAB built-in function bvp4c. To comprehend the consequences of assorted parameters on involved distributions, different graphs are plotted and are accompanied by requisite discussions in the light of their physical significance. To substantiate the presented results, a comparison to the already conducted problem is also given. It is envisaged that there is a close correlation between the two results. This shows that dependable results are being submitted. It is noticed that h-h reactions depict an opposite behavior versus concentration profile. Moreover, the temperature of the fluid augments for higher values of thermal conductivity parameters.

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Section: Numerical Solutionsmentioning

confidence: 94%

Section: Numerical Solutionsmentioning

confidence: 99%

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MHD Boundary Layer Flow of Carreau Fluid over a Convectively Heated Bidirectional Sheet with Non-Fourier Heat Flux and Variable Thermal Conductivity

Mohammad

Ramzan

et al. 2019

Symmetry

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“…Under these concerns, the governing flow problem of 3D Carreau liquid is [17,45]. In overhead equations, (u, v, w) are the components of velocity along x-, y-and z-directions, respectively, n the power law exponent, the material rate constant, f , c f the specific heat and density of the Carreau liquid, the kinematic viscosity, (T, C) the liquid temperature and concentration of Carreau liquid, ( , * ), respectively, the relaxation time of heat and mass fluxes, D the molecular diffusivity of the concentration and K(T) the temperature-dependent thermal conductivity of Carreau liquid which is expressed as [49][50][51].…”

Section: Problem Formulationmentioning

confidence: 99%

“…They reported that the performance of the Weissenberg number for shear thinning/thickening liquids was totally conflicted on velocity field. Later on, Khan et al [45] extended the Carreau liquid model and presented a new modeling for three-dimensional flow of Carreau fluid. Their investigation specified that the thermal radiation heightened the temperature of Carreau liquid for both shear thinning/thickening liquids.…”

Section: Introductionmentioning

confidence: 99%

On model for three-dimensional Carreau fluid flow with Cattaneo–Christov double diffusion and variable conductivity: a numerical approach

Irfan

Khan

2018

J Braz. Soc. Mech. Sci. Eng.

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The present article investigates the steady 3D flow of a Carreau liquid influenced by bidirectional stretching surface. In the presence of Cattaneo-Christov double diffusion with temperature-dependent thermal conductivity, the heat and mass transfer mechanisms have been scrutinized. The alteration of nonlinear PDEs to nonlinear ODEs is equipped via apposite conversions and then resolved numerically by means of bvp4c scheme. The graphical assessment is exposed to portray the essential features of somatic parameters on Carreau liquid temperature and concentration distributions. This study indicates that the variable conductivity parameter enhances the liquid temperature, while the thermal relaxation time parameter and Prandtl number are diminishing functions of temperature field. Furthermore, our results illustrate that the concentration relaxation time parameter and Schmidt number diminish the concentration field. The assertion of present exploration is asserted by emergent assessment with former outcomes vacant in prose, which sets a benchmark for execution of computational methodology. Moreover, graphical assessment is also vacant for two altered techniques, namely analytical (HAM) and numerical (bvp4c). Keywords Three-dimensional flow • Carreau fluid • Variable thermal conductivity • Cattaneo-Christov double diffusion * Concentration relaxation time parameter Pr Prandtl number Sc Schmidt number Ratio of stretching rates parameter Thermal conductivity parameter xz , yz Surface shear stresses along x-and y-directions C fx , C fy Skin friction coefficients Re x Local Reynolds number f , g Dimensionless velocities Dimensionless temperature Dimensionless concentration Abbreviations 3D Three-dimensional ODEs Ordinary differential equations

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Univariate and multivariate strategies for the rheological tests evaluation: Influence of additives in composite materials

Vita

Ricotti²,

Malegori

et al. 2020

J of Applied Polymer Sci

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Filler formulations are complex systems, characterized by a high number of components with different nature, as resins, extenders, additives. One of the main properties of a two‐component epoxy filler used for yacht application is the rheology. Thus, rheological additives are studied in both components after different times from the production. Rheological analysis produces a very large amount of information so statistical methods are useful to elaborate the data. In this study, a univariate approach (ANOVA) and a multivariate data processing, namely, principal component analysis after low‐level data fusion are carried out. It is shown that the multivariate approach provides the maximum useful information on the system. No differences are highlighted in the rheological behavior for the epoxy component, by using different additives while, for the polyamide component, the best rheological additive among the tested is the one that has a polyamide nature, being a polar system as itself.

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A new modeling for 3D Carreau fluid flow considering nonlinear thermal radiation

Cited by 83 publications

References 34 publications

MHD Boundary Layer Flow of Carreau Fluid over a Convectively Heated Bidirectional Sheet with Non-Fourier Heat Flux and Variable Thermal Conductivity

MHD Boundary Layer Flow of Carreau Fluid over a Convectively Heated Bidirectional Sheet with Non-Fourier Heat Flux and Variable Thermal Conductivity

On model for three-dimensional Carreau fluid flow with Cattaneo–Christov double diffusion and variable conductivity: a numerical approach

Univariate and multivariate strategies for the rheological tests evaluation: Influence of additives in composite materials

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