Activation energy and dual stratification effects for Walter-B fluid flow in view of Cattaneo-Christov double diffusionon

Ijaz, M.; Ayub, M.

doi:10.1016/j.heliyon.2019.e01815

Cited by 28 publications

(13 citation statements)

References 36 publications

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“…The relations for mass flux j and heat flux q with their respective relaxation factor according to the Cattaneo–Christov theory are given as 53–59 :

bold-italicq + τ_{t} (][, \frac{\partial bold-italicq}{\partial t} + boldv \cdot \nabla bold-italicq - bold-italicq \cdot \nabla boldv bold+ (\nabla \cdot boldv) bold-italicq) = - k \nabla T,

bold-italicj + τ_{c} (][, \frac{\partial bold-italicj}{\partial t} + boldv \cdot \nabla bold-italicj - bold-italicj \cdot \nabla boldv bold+ (\nabla \cdot boldv) bold-italicj) = - D_{B} \nabla C,

where mass flux relaxation time and heat flux relaxation time are denoted by

τ_{c}

and

τ_{t}

, respectively. Also, D B stands for Brownian diffusivity, velocity is denoted by v , and k stands for thermal conductivity.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Furthermore, literature search showed that many studies are published that, in addition to thermal relaxation time parameter in view of the C–C model, also consider solutal relaxation time parameter in the species transport equation. This model in literature is termed as the Cattaneo–Christov double‐diffusion model and is explored in some of the recent studies 53–59 …”

Section: Introductionmentioning

confidence: 99%

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Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

2021

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We often encounter many processes where the cooling rate is a key factor in deciding the features of a desired product. Due to increasing demands of controlled cooling systems, an effort is made to theoretically study the effect of volume fraction on mixed convective Cu–water nanofluid flow over a stretching surface with activation energy and thermal radiation. The nonlinear dynamical system is simplified using apt similarity variables and the obtained ordinary differential equations are dealt numerically using Runge–Kutta–Fehlberg method and shooting scheme. The thermal and solutal equations are modeled considering Cattaneo–Christov double‐diffusion model. The flow problem is studied considering velocity slip and zero mass flux state at the surface. As a novelty, the present case considers the blowing effect at the surface to study massive species transport during nanofluid flow with Cattaneo–Christov double‐diffusion model. The results show that an increase in strength of thermal radiation increases temperature and buoyancy ratio parameter, thereby escalating the skin friction coefficient. When thermal relaxation parameter changes from 0.001 to 0.005, heat transfer coefficient improves by 24.36%. Furthermore, with the change in value of the blowing parameter from 0.1 to 0.1015, the maximum value concentration of nanoparticles that is attained during the flow is increased by 7.15%.

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“…The relations for mass flux j and heat flux q with their respective relaxation factor according to the Cattaneo–Christov theory are given as 53–59 :

bold-italicq + τ_{t} (][, \frac{\partial bold-italicq}{\partial t} + boldv \cdot \nabla bold-italicq - bold-italicq \cdot \nabla boldv bold+ (\nabla \cdot boldv) bold-italicq) = - k \nabla T,

bold-italicj + τ_{c} (][, \frac{\partial bold-italicj}{\partial t} + boldv \cdot \nabla bold-italicj - bold-italicj \cdot \nabla boldv bold+ (\nabla \cdot boldv) bold-italicj) = - D_{B} \nabla C,

where mass flux relaxation time and heat flux relaxation time are denoted by

τ_{c}

and

τ_{t}

, respectively. Also, D B stands for Brownian diffusivity, velocity is denoted by v , and k stands for thermal conductivity.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

2021

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show abstract

“…The findings revealed that the relocation property assisted in downsizing the thermal processes. Among other literature on the generalized heat flux paradox are References [9,17]. More recently, on the modified flux characterization includes Sardar et al 18 on multiple solutions to Carreau nanofluid flow; Vasu et al 19 on Jeffrey fluid with suspended nanoparticles; Sarojamma et al 20 explore the significance of the modified law over the dynamics of a Micropolar fluid; Magodora et al 21 utilized the spectral quasilinearization method to observe the effect of Cattaneo-Christov model over flow through a parallel plate; Rawat et al 22 employed the Cattaneo-Christov doublediffusion model in their nanofluid comparative study over a wedge and cone; while, Gnaneswara et al 23 investigate the hybrid dusty fluid over a stretching surface among others.…”

Section: Introductionmentioning

confidence: 99%

Multislip and Soret–Dufour influence on nonlinear convection flow of MHD dissipative Casson fluid over a slendering stretching sheet with generalized heat flux phenomenon

2021

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In the present investigation, Soret–Dufour and multislip's impact on magnetohydrodynamics (MHD) Casson fluid flow encompassing variable thermophysical features in the nonlinear convection process is analyzed. It is believed that to any effective heat and mass transfer enhancement, the relaxation of such fluid and material time along with the thermo‐physical features, are well estimated. In this model, a magnetic field of nonuniform strength is applied perpendicular to the slendering sheet with variable thickness, and nonlinear convection flow is considered in this generalized heat flux examination. An appropriate similarity variable is implemented on the governing equations embedding the variable viscosity, thermal conductivity, and generalized Fourier's law to drive ordinary differential equations. Galerkin weighted residual approach is utilized to calculate the flow field among other flow characteristics. The novel flow features are discussed therein. Modified Fourier and multislip's parameters are seen to have downsized the velocity and temperature field greatly. Thermal and solutal buoyancy effects are more pronounced in nonlinear form compared to the linear model. Dufour number influences both velocity and energy fields positively but negates the concentration field, while the Soret number gives an opposing characterization.

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“…Strong nonlinear ordinary differential system is attained by employing suitable transformations. Convergent series solutions of differential systems are obtained by HAM [32, 33, 34, 35, 36, 37, 38]. Currently some latest work has been cited (see refs [39, 40, 41, 42, 43]).…”

Section: Introductionmentioning

confidence: 99%

Thermally stratified flow of Jeffrey fluid with homogeneous-heterogeneous reactions and non-Fourier heat flux model

Ijaz

Ayub

2019

Heliyon

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This article investigates the mixed convective flow of Jeffrey fluid near the axisymmetric stagnation point over an inclined permeable stretching cylinder. Analysis subjected to Cattaneo-Christov heat flux, thermal stratification and homogeneous-heterogeneous reactions are accounted. Suitable transformations are employed to obtain nonlinear ordinary differential system. Non-dimensional system is computed by Homotopy technique. Graphs and tables are constructed to analyze the influence of different flow parameters on temperature, concentration and velocity fields. The interpretation of skin friction coefficient is deliberated. It is noticed from obtained results that temperature is a decreasing function of thermal stratification parameter. Reverse behaviour of concentration is witnessed for higher estimations of homogeneous and heterogeneous parameters. Numerical results are compared with previous published results and found to be in good agreement for special casesof the emerging parameters.

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Activation energy and dual stratification effects for Walter-B fluid flow in view of Cattaneo-Christov double diffusionon

Cited by 28 publications

References 36 publications

Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

Multislip and Soret–Dufour influence on nonlinear convection flow of MHD dissipative Casson fluid over a slendering stretching sheet with generalized heat flux phenomenon

Thermally stratified flow of Jeffrey fluid with homogeneous-heterogeneous reactions and non-Fourier heat flux model

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