Zero‐mass flux and Cattaneo–Christov heat flux through a Prandtl non‐Newtonian nanofluid in Darcy–Forchheimer porous space

Reddy, M. Gnaneswara; Vijayakumari, P.; Kumar, K. Ganesh; Shehzad, Sabir Ali

doi:10.1002/htj.21872

Cited by 40 publications

(23 citation statements)

References 37 publications

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“…Going along with Mohamed et al 24 and Salleh et al, 26 the dimensionless changeable such as:

normalϵ = \frac{x}{d}, normalζ = y (\frac{{(italicGr)}^{\frac{1}{4}}}{d}), r = \frac{r^{⁎}}{d}, normalθ = \frac{ѱ}{ν ε ({italicGr)}^{\frac{1}{4}}}, h = \frac{d^{2}}{ν ε {(italicGr)}^{\frac{3}{4}}} normalӨ, normalϑ = \frac{T - T_{\infty}}{T_{w} - T_{\infty}}, normalϕ = \frac{C - C_{\infty}}{C_{w} - C_{\infty}} .

normalϕ = \frac{normalC - C_{\infty}}{C_{w} - C_{\infty}}

…”

Section: Mathematical Formulationmentioning

confidence: 95%

“…The effect of viscous dissipation in nanofluid on circular cylinder has been evaluated by Mohamed et al 24 They conclude that the Eckert number gives no influence on thermal and velocity boundary layer thicknesses. But very recently Fatunmbi and Okoya, 25 Reddy et al, 26 and Reddy and Ferdows 27 reported that the presence of Eckert number exhibits increasing behavior on temperature frontier layer thicknesses. Since thermal volumetric expansion increases because of buoyancy force which reduces the density of fluid results the temperature distribution growth.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear free convection flow of micropolar nanofluid over a cylinder

Ibrahim

Zemedu

2020

Heat Trans

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Buoyancy‐determined steady, laminar nonlinear convection flow of micropolar nanofluid with Soret effect, viscous dissipation over a cylinder were evaluated numerically using method bvp4c from matlab software for assorted quantities of leading parameters. Mathematical modeling for the flow problem has been completed with fitting resemblance change and dimensionless variable. A variable similarity solution is offered that bases on various quantities of leading parameters. Influences of these parameters on θ false″ ( 0 ), − h ' ( 0 ) , ϑ ' ( 0 ) , − ϕ ' ( 0 ) are tested and displayed with the charts and graphs. The convergence test has been continued; for quantity of spots larger than suitable mesh number of points. The correctness is unchanged, but it takes time. Also, a comparison with prior study reachable in the literature has been offered with very good conformity is got. The findings show that the existence of Soret number agrees to enhance concentration profile ϕ )(ζ, Wall couple stress coefficient − h false′ )(0 , θ false″ )(0 , and Nusselt number – ϑ ′ ( 0 ). But the presence of Eckert Number Ec, allows declining velocity, microrotation, temperature, and concentration profiles.

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“…Going along with Mohamed et al 24 and Salleh et al, 26 the dimensionless changeable such as:

normalϵ = \frac{x}{d}, normalζ = y (\frac{{(italicGr)}^{\frac{1}{4}}}{d}), r = \frac{r^{⁎}}{d}, normalθ = \frac{ѱ}{ν ε ({italicGr)}^{\frac{1}{4}}}, h = \frac{d^{2}}{ν ε {(italicGr)}^{\frac{3}{4}}} normalӨ, normalϑ = \frac{T - T_{\infty}}{T_{w} - T_{\infty}}, normalϕ = \frac{C - C_{\infty}}{C_{w} - C_{\infty}} .

normalϕ = \frac{normalC - C_{\infty}}{C_{w} - C_{\infty}}

…”

Section: Mathematical Formulationmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Nonlinear free convection flow of micropolar nanofluid over a cylinder

Ibrahim

Zemedu

2020

Heat Trans

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“…Shehzad et al 43 published his latest study to investigate about behavior of nanoparticles Fe 2 SO 4 and Ti 6 Al 4 v in a micropolar fluid. Reddy et al 44 made an investigation related to Cattaneo–Christov heat flux and zero‐mass flux through porous space. In another study, He 45 discusses the effect of thermal radiation and altitude on a MHD micropolar fluid.…”

Section: Introductionmentioning

confidence: 99%

Interpretation of infinite shear rate viscosity and a nonuniform heat sink/source on a 3D radiative cross nanofluid with buoyancy assisting/opposing flow

et al. 2021

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With respect to bionomical concerns and energy security, the performance of refrigeration systems should be enriched, which can be done by improving the characteristics of working liquids. Nanoliquids have attracted interest in the fields of engineering and industry due to their prominent thermophysical characteristics. Researchers have used nanoliquids as working liquids and noticed significant fluctuations in thermal execution. In this study, our prime aim was to study the impact of thermal radiation and varying thermal conductivity on a cross‐nanofuid with the addition of a nonuniform heat sink–source, chemical process, and activation energy (AE) together with effects of assisting and opposing buoyancy. Furthermore, the relationship of zero‐mass flux together with the mechanism of thermophoresis and Brownian motion is considered. Traditionalistic transformations gave the ordinary differential equations (ODEs), which are further dealt with the approach of the Shooting Scheme to change the boundary value problem (BVP) into an initial value problem (IVP) and a numerical comparison is made with the Matlab solver package bvp4c. Bvp4c is based upon a collocation scheme, which yields numeric outcomes for nonlinear ODEs with IVP. Impacts of the involved parameters on mass transfer profile, heat, and momentum fields are shown through graphs. Mass transfer of the cross nanofluid increases with increasing values of AE parameter. Values of physical quantities like drag forces, rate of transport of heat and mass in the case of assisting/opposing flow are tabulated. The drag force magnitudes are greater for enhancing values of M, a, and n, while on the other hand, the opposing tendency is seen for We1 and We2. The magnitude of the rate of heat transport (Nusselt number) falls for greater values of m, σ, δ, and Nt, but in contrast, it accelerates for E, Pr, and n.

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“…It was observed that the heat transfer rate augments with the electro‐osmotic force. Notable works on the non‐Newtonian fluid across distinct geometries are found in References [9‐15].…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic flow of Williamson fluid in a microchannel for both horizontal and inclined loci with wall shear properties

et al. 2020

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This study reports the flow of Williamson fluid in a microchannel, considering the effect of thermal radiation, heat source, slip regime, and convective boundary. The physical phenomenon is demonstrated by employing the Williamson model. The mathematical expressions are made dimensionless by using nondimensional quantities. The numerical approach called Runge–Kutta–Fehlberg scheme is hired to get the solution. The upshots of the pertinent flow parameter on physical features are visualized through graphs. It is established that the augmentation of Nusselt number has been achieved by increasing Weissenberg number and Reynolds number. In addition to this, it is emphasized that the reduction in the wall velocity gradient is obtained for a higher Weissenberg number.

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Zero‐mass flux and Cattaneo–Christov heat flux through a Prandtl non‐Newtonian nanofluid in Darcy–Forchheimer porous space

Cited by 40 publications

References 37 publications

Nonlinear free convection flow of micropolar nanofluid over a cylinder

Nonlinear free convection flow of micropolar nanofluid over a cylinder

Interpretation of infinite shear rate viscosity and a nonuniform heat sink/source on a 3D radiative cross nanofluid with buoyancy assisting/opposing flow

Magnetohydrodynamic flow of Williamson fluid in a microchannel for both horizontal and inclined loci with wall shear properties

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