Rotating Flow of Magnetite-Water Nanofluid over a Stretching Surface Inspired by Non-Linear Thermal Radiation

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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“…The coefficient of this heat transfer is h f . The relevant equations after applying assumptions are [13][14][15][16][17][18]:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

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

et al. 2019

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“…Hayat et al [6] studied three-dimensional stretching nonlinear surface magnetohydrodynamics nanofluid flow with a convective boundary condition. Mustafa et al [7] discussed water based magnetite nanofluid rotating flow over a stretching surface by nonlinear thermal radiation. Gopal et al [8] studied Joule's and viscous dissipation on Casson fluid flow with inclined magnetic field over a chemical reacting stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation Analysis of Carbon Nanotubes Nanofluid 3D Flow along a Nonlinear Inclined Stretching Sheet through Porous Media

Jain¹,

Gupta²

2019

IJHT

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Second law analysis for three-dimensional flow of water based CNTs nanofluid over an inclined stretching sheet subject to convective boundary condition in the presence of porous media has been done. For the analysis, we have taken two types of nanoparticles namely, single wall carbon nanotube (SWCNT) and multiwall carbon nanotube (MWCNT). A system of coupled non-linear differential equations for the flow is obtained by using similarity transformations through the conservation laws. Solution of resulting equations is obtained by Runge-Kutta fourth order mcethod with shooting technique. The effects of various physical parameters on flow and heat transfer characteristics as well as entropy generation has been investigated and displayed through graphs and tables. Significance of the study: The entropy generation analysis has been investigated in order to determine the optimal working condition for the given geometry under the considered boundary conditions. The mixture model with constant temperature properties was employed to simulate the nanofluid. Carbon nanotubes are hexagonally shaped arrangements of carbon atoms that have been rolled into tubes. Carbon nanotubes have high thermal conductivity, therefore, by adding nanoparticles or nanotubes in the base fluids the effective thermal conductivity of heat transfer fluids enhances.

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“…Merkin did the earliest study on chemical reactions. This led so many researchers (Reddy and Suneetha, Hayat et al, Gholiniaa et al, Hashim et al) to shed light on these types of reactions.…”

Section: Introductionmentioning

confidence: 99%

Homogeneous‐heterogeneous chemical action and non‐Fourier flux theory effects in a flow with carbon nanotubes

Suneetha

Subbarayudu

Wahidunnisa

et al. 2019

Heat Trans. Asian Res.

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A theoretical outline is sketched to figure out the stream of polyvinyl alcohol (PVA)-based CNTs along a moving surface with multiple slip effects on homogeneous and heterogeneous chemical reactions. The nonlinear radiant, heat, and nonuniform heat source/sink is incorporated in the energy equation to discuss the heat transport phenomenon. The novel theory of non-Fourier flux model of heat diffusion is also merged in the energy equation. Two kinds of nanoparticles are considered, namely, single wall carbon nanotubes and multiple wall carbon nanotubes, and are suspended in the working PVA to illustrate the flow behavior. Due to a large variety of applications, PVA is used in papermaking, textiles, and a variety of coatings. The principal structure of mathematical model is based upon the system of differential equations, which has been tackled through Runge-Kutta-Fehlberg method in MATLAB software. Graphical images are made vs different physical parameters which emerged in the model. The heat transfer of the fluid enhances with the increase of nonuniform thermal radiation. The homogeneous and heterogeneous chemical reactions slow down the concentration rate. K E Y W O R D S C-CHFM, CNTs, homogeneous/heterogeneous, nonlinear radiation, nonuniform heat source/sink 1 | INTRODUCTIONIn physical systems, transportation of thermal energy is accredited by heat transfer, which has abundant utilization in fields like engineering, and in modern processes of industries, contemporary industrial process that absorb heat transmission in tissues, effectiveness of fuel cell, knowledge in food manufacturing, removing heat from electronic devices, targeting of tumors, and several others. Bicentenary before the most excellent model in heat conduction was proposed by Fourier, 1 which became a benchmark to examine the heat transfer facets in different conditions. But it has a pessimistic phase, that is, a parabolic equation in thermal field is created, which was cited as "Paradox of heat conduction" in literature. To overcome this, in 1948, Cattaneo 2 remodeled this by sticking the term thermal relaxation time with the movement of heat by the proliferation of hot waves with a firm velocity. Soon after, Christov 3 further reshaped the Cattaneo model by restoring the ordinary derivative with Oldroyd's upper-convected derivatives in order to attain the material-invariant formulation. This recovered replica is eminent as Cattaneo-Christov heat flux model (C-CHFM). The outcomes of C-CHFM for flow problems, which are not compressible, are depicted by Tibulle and Zampoli. 4 Bala Anki Reddy and Suneetha 5 contemplated the cause of C-CHF over a stretching surface in the Casson fluid flow. In recent times, many researchers 6-11 reported on various C-CHF models.Nanotechnology plays startling applications in various domains of engineering. Nanofluid is one of the important sectors of nanotechnology. Choi 12 introduced the idea of nanofluid by dropping solid nano-sized particles in a host fluid: ethylene glycol, oil, water, and so on. Hayat et al 13...

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Rotating Flow of Magnetite-Water Nanofluid over a Stretching Surface Inspired by Non-Linear Thermal Radiation

Cited by 82 publications

References 46 publications

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

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

Entropy Generation Analysis of Carbon Nanotubes Nanofluid 3D Flow along a Nonlinear Inclined Stretching Sheet through Porous Media

Homogeneous‐heterogeneous chemical action and non‐Fourier flux theory effects in a flow with carbon nanotubes

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