Cattaneo–Christov Heat Flux Model for Three-Dimensional Rotating Flow of SWCNT and MWCNT Nanofluid with Darcy–Forchheimer Porous Medium Induced by a Linearly Stretchable Surface

In this paper we investigated the 3-D Magnetohydrodynamic (MHD) rotational nanofluid flow through a stretching surface. Carbon nanotubes (SWCNTs and MWCNTs) were used as nano-sized constituents, and water was used as a base fluid. The Cattaneo–Christov heat flux model was used for heat transport phenomenon. This arrangement had remarkable visual and electronic properties, such as strong elasticity, high updraft stability, and natural durability. The heat interchanging phenomenon was affected by updraft emission. The effects of nanoparticles such as Brownian motion and thermophoresis were also included in the study. By considering the conservation of mass, motion quantity, heat transfer, and nanoparticles concentration the whole phenomenon was modeled. The modeled equations were highly non-linear and were solved using homotopy analysis method (HAM). The effects of different parameters are described in tables and their impact on different state variables are displayed in graphs. Physical quantities like Sherwood number, Nusselt number, and skin friction are presented through tables with the variations of different physical parameters.

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Cattaneo–Christov heat flux model for three-dimensional flow of a viscoelastic fluid on an exponentially stretching surface

Mathematical and Computer Modelling of Dynamical Systems ◽

10.1080/13873954.2020.1777566 ◽

2020 ◽

Vol 26 (4) ◽

pp. 344-356

Author(s):

Sehrish Malik ◽

M. Bilal Ashraf ◽

Adnan Jahangir

Keyword(s):

Heat Flux ◽

Viscoelastic Fluid ◽

Three Dimensional ◽

Stretching Surface ◽

Three Dimensional Flow ◽

Dimensional Flow ◽

Flux Model ◽

Exponentially Stretching Surface ◽

Exponentially Stretching ◽

Heat Flux Model

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Three-dimensional Oldroyd-B fluid flow with Cattaneo-Christov heat flux model

The European Physical Journal Plus ◽

10.1140/epjp/i2016-16112-9 ◽

2016 ◽

Vol 131 (4) ◽

Cited By ~ 7

Author(s):

S. A. Shehzad ◽

T. Hayat ◽

F. M. Abbasi ◽

Tariq Javed ◽

M. A. Kutbi

Keyword(s):

Heat Flux ◽

Fluid Flow ◽

Three Dimensional ◽

Flux Model ◽

Heat Flux Model

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Free convective heat transfer in Jeffrey fluid with suspended nanoparticles and Cattaneo–Christov heat flux

Proceedings of the Institution of Mechanical Engineers Part N Journal of Nanomaterials Nanoengineering and Nanosystems ◽

10.1177/2397791420912628 ◽

2020 ◽

Vol 234 (3-4) ◽

pp. 99-114

Author(s):

B Vasu ◽

Atul Kumar Ray ◽

Rama SR Gorla

Keyword(s):

Heat Transfer ◽

Heat Flux ◽

Surface Temperature ◽

Vertical Wall ◽

Physical Parameters ◽

Local Similarity ◽

Species Concentration ◽

Flux Model ◽

Jeffrey Nanofluid ◽

Heat Flux Model

Free convection flow of Jeffrey nanofluid past a vertical plate with sinusoidal variations of surface temperature and species concentration is presented. The study of heat transfer and nanofluid transport has been done by employing Cattaneo–Christov heat flux model and Buongiorno model, respectively. Equations governing the flow are non-dimensionalized using appropriate transformations. Furthermore, the method of local similarity and local non-similarity is used to reduce the equations into non-linear coupled system of equations which are then solved by homotopy analysis method. The obtained results are validated by comparing with the existing results available in the literature. The numerical results are found to be in good agreement. The effects of varying the physical parameters such as Deborah Number, Prandtl number, Schmidt number, thermophoresis parameter, Brownian motion parameter and buoyancy ratio parameter are obtained and presented graphically. The effect of sinusoidal variation of surface temperature and species concentration on the skin friction coefficient, Nusselt number and Sherwood number is also shown. Velocity for Jeffrey nanofluid is more than the Newtonian nanofluid while temperature and nanoparticle concentration for Jeffrey nanofluid is less than the Newtonian nanofluid. Raising value of thermal relaxation times leads to an increase in the heat transfer coefficient. It is observed that temperature of Cattaneo–Christov heat flux model is less than that in classical Fourier’s model away from the vertical wall. These types of boundary layer flow problems are found in vertical film solar energy collector, grain storage, transportation and power generation, thermal insulation, gas production, petroleum resources, geothermal reservoirs.

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Application of a Higher Order GGDH Heat Flux Model to Three-Dimensional Turbulent U-Bend Duct Heat Transfer

Journal of Heat Transfer ◽

10.1115/1.1532018 ◽

2003 ◽

Vol 125 (1) ◽

pp. 200-203 ◽

Cited By ~ 5

Author(s):

K. Suga ◽

M. Nagaoka and ◽

N. Horinouchi

Keyword(s):

Heat Transfer ◽

Heat Flux ◽

Three Dimensional ◽

Turbulence Models ◽

Higher Order ◽

Moment Closure ◽

Turbulent Heat ◽

Generalized Gradient ◽

Flux Model ◽

Heat Flux Model

A higher order version of the generalized gradient diffusion hypothesis (HOGGDH) for turbulent heat flux is applied to predict heat transfer in a square-sectioned U-bend duct. The flow field turbulence models coupled with are a cubic nonlinear eddy viscosity model and a full second moment closure. Both of them are low Reynolds number turbulence models. The benefits of using the HOGGDH heat flux model are presented through the comparison with the standard GGDH.

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Spectral Quasi-Linearization Method for Entropy Generation Using the Cattaneo–Christov Heat Flux Model

International Journal of Computational Methods ◽

10.1142/s0219876219400024 ◽

2019 ◽

Vol 17 (05) ◽

pp. 1940002

Author(s):

Hiranmoy Mondal ◽

Precious Sibanda

Keyword(s):

Heat Flux ◽

Entropy Generation ◽

Thermal Relaxation ◽

Linearization Method ◽

Physical Parameters ◽

Bejan Number ◽

Nonlinear Transport ◽

Moving Plate ◽

Flux Model ◽

Heat Flux Model

In this paper, we studying the entropy generation in Sakiadis nanofluid flowing along a moving plate subject to magnetic field and a Cattaneo–Christov heat flux model that may predict the effects of thermal relaxation time on the boundary layer flow. The nonlinear transport equations are solved using a spectral quasi-linearization method. An analysis of the convergence of the method is presented, and the importance of various fluid and physical parameters concerning the behavior of the solutions is explored. Numerical analysis of the residual error and convergence properties of the method are also discussed. One of the benefits of the proposed method is that it is computationally fast and gives very accurate results after only a few iterations using very few grid points in the numerical discretization process. It is shown that the method converges fast and gives accurate results. The results show that entropy generation increases with an increase in the Reynolds number. The Bejan number is strongly affected by variations in the magnetic parameter, Brinkman number and temperature difference parameter.

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