Impact of Cattaneo–Christov heat flux on MHD nanofluid flow and heat transfer between parallel plates considering thermal radiation effect

Dogonchi, A.S.; Ganji, D.D.

doi:10.1016/j.jtice.2017.08.005

Cited by 135 publications

(56 citation statements)

References 55 publications

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“…52 ) In order to validate our code, the numerical value of the Nusselt number and skin friction coefficient presented by Dogonchi et al 48 and Mustafa et al 53 are successfully reproduced. The comparison of the values of the Nusselt number and skin friction coefficient has been shown in the Table II which shows an excellent agreement.…”

Section: Solution Methodologymentioning

confidence: 86%

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Numerical study focusing on the entropy analysis of MHD squeezing flow of a nanofluid model using Cattaneo–Christov theory

2018

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The present study gives an account of the heat transfer characteristics of the squeezing flow of a nanofluid between two flat plates with upper plate moving vertically and the lower in the horizontal direction. Tiwari and Das nanofluid model has been utilized to give a comparative analysis of the heat transfer in the Cu-water and Al 2 O 3 -water nanofluids with entropy generation. The modeling is carried out with the consideration of Lorentz forces to observe the effect of magnetic field on the flow. The Joule heating effect is included to discuss the heat dissipation in the fluid and its effect on the entropy of the system. The nondimensional ordinary differential equations are solved using the Keller box method to assess the numerical results which are presented by the graphs and tables. An interesting observation is that the entropy is generated more near the lower plate as compared with that at the upper plate. Also, the heat transfer rate is found to be higher for the

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Section: Solution Methodologymentioning

confidence: 86%

“…After applying the boundary layer approximation and scale analysis, the resulting constitutive equations are: 47,48 ∂u ∂x…”

Section: -5mentioning

confidence: 99%

Numerical study focusing on the entropy analysis of MHD squeezing flow of a nanofluid model using Cattaneo–Christov theory

2018

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“…The thermophysical properties of the nanofluid are given in Table . Under the above presumptions, the governing equations for conservative momentum and energy in an unsteady two‐dimensional nanofluid flow are:

\frac{1}{r} \frac{\partial}{\partial r} (r u) + \frac{\partial w}{\partial z} = 0,

\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial r} + w \frac{\partial u}{\partial z} = - \frac{1}{ρ_{n f}} \frac{\partial p}{\partial r} + \frac{μ_{n f}}{ρ_{n f}} [\frac{1}{r} \frac{\partial}{\partial r} r (\frac{\partial u}{\partial r}) - \frac{u}{r^{2}} + \frac{\partial^{2} u}{\partial z^{2}}],

\frac{\partial w}{\partial t} + u \frac{\partial w}{\partial r} + w \frac{\partial w}{\partial z} = - \frac{1}{ρ_{n f}} \frac{\partial p}{\partial z} + \frac{μ_{n f}}{ρ_{n f}} [\frac{1}{r} \frac{\partial}{\partial r} (r \frac{\partial w}{\partial r}) + \frac{\partial^{2} w}{\partial z^{2}}],

\begin{matrix} left \frac{\partial T}{\partial t} + u \frac{\partial T}{\partial r} + w \frac{\partial T}{\partial z} + ε ([], \begin{matrix} \frac{\partial^{2} T}{\partial t^{2 ...}} \end{matrix}) \end{matrix}

…”

Section: Problem Descriptionmentioning

confidence: 99%

“…Ghadikolaei and colleagues studied three‐dimensional squeezing flow of mixture base fluid (ethylene glycol–water) suspended by hybrid nanoparticle (Fe 3 O 4 –Ag). Recently, nanofluid flow and heat transfer have been reviewed by many researchers …”

Section: Introductionmentioning

confidence: 99%

“…Recently, nanofluid flow and heat transfer have been reviewed by many researchers. [26][27][28][29][30][31][32][33][34][35] The main goal of this work is to explore the flow and heat transfer of nanofluid between two parallel disks in the presence of thermal radiation and heat source impacts and considering the Cattaneo-Christov heat flux model instead of the more conventional Fourier's law of heat conduction. The governing momentum and energy equations accompanied by the boundary conditions are first transmuted into a nondimensional form, and next they are solved by a new modification of the Adomian Decomposition Method (ADM), 36 denominated as the Duan-Rach Approach (DRA).…”

Section: Introductionmentioning

confidence: 99%

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Radiative nanofluid flow and heat transfer between parallel disks with penetrable and stretchable walls considering Cattaneo–Christov heat flux model

Dogonchi

Chamkha

Seyyedi

et al. 2018

Heat Trans. Asian Res.

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In this work, we explore the unsteady squeezing flow and heat transfer of nanofluid between two parallel disks in which one of the disks is penetrable and the other is stretchable/shrinkable, in the presence of thermal radiation and heat source impacts, and considering the Cattaneo–Christov heat flux model instead of the more conventional Fourier's law of heat conduction. A similarity transformation is utilized to transmute the governing momentum and energy equations into nonlinear ordinary differential equations with the proper boundary conditions. The achieved nonlinear ordinary differential equations are solved by the Duan–Rach Approach (DRA). This method modifies the standard Adomian Decomposition Method by evaluating the inverse operators at the boundary conditions directly. The impacts of diverse active parameters, such as the suction/injection parameter, the solid volume fraction, the heat source parameter, the thermal relaxation parameter, and the radiation parameter on flow and heat transfer traits are examined. In addition, the value of the Nusselt number is calculated and portrayed through figures.

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Numerical investigation on optimization of thermal analysis due to immersion of hybrid nanostructures in a fluid of shear dependent viscosity using the finite element method

2021

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This article considers the dispersion of hybrid and mono nanoparticles in a fluid with viscosity (Williamson) dependent on shear rate, over a heated surface moving with nonuniform velocity and exposed to a magnetic field in the presence of an applied current. Extensive modeling leads to complex coupled mathematical models that are solved numerically via the finite element method (FEM). Convergent simulations are run to investigate the role of parameters on the dynamics of flow fields. The magnetic field intensity plays a role in controlling the magnetohydrodynamic boundary layer thickness (BLT) and thermal radiation controls the thickness of thermal boundary layers (TBL). However, the magnetic field intensity is responsible for an increase in BLT. In contrast to this, thermal radiation plays a role in controlling the thickness of the TBL. The impact of shear rate dependent viscosity on velocity is remarkable for both fluids. The motion of both of the fluids slows down when viscosity varies as a function of shear rate. Viscosity depending on the shear rate has a significant impact on wall shear stress. It is observed from simulations that wall shear increases when the parameters appearing in the model for shear rate dependent viscosity are increased. However, this increase in wall shear stress associated with a hybrid nanofluid is greater than the increase in wall shear stress associated with a mono nanofluid.

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Impact of Cattaneo–Christov heat flux on MHD nanofluid flow and heat transfer between parallel plates considering thermal radiation effect

Cited by 135 publications

References 55 publications

Numerical study focusing on the entropy analysis of MHD squeezing flow of a nanofluid model using Cattaneo–Christov theory

Numerical study focusing on the entropy analysis of MHD squeezing flow of a nanofluid model using Cattaneo–Christov theory

Radiative nanofluid flow and heat transfer between parallel disks with penetrable and stretchable walls considering Cattaneo–Christov heat flux model

Numerical investigation on optimization of thermal analysis due to immersion of hybrid nanostructures in a fluid of shear dependent viscosity using the finite element method

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