Carbon nanotubes effects in the stagnation point flow towards a nonlinear stretching sheet with variable thickness

Hayat, Tasawar; Hussain, Zakir; Alsaedi, Ahmed; Asghar, S.

doi:10.1016/j.apt.2016.06.001

Cited by 93 publications

(29 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(2) corresponds to the assisting flow while the "À" sign corresponds to the opposing flow, respectively. Here, ρ nf is the nanofluid density, k f is the thermal conductivity of the fluid, T w is the wall temperature, μ nf (T) is the temperature dependent viscosity of nanofluid and α nf is the thermal diffusivity of nanofluid which are defined [31][32][33][34] as:…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The first boundary layer flow model for nanofluids flow past stretching sheet was presented by Khan and Pop [16] which was extended for a convective boundary condition [17], nonlinear stretching sheet [18], unsteady stretching surface [19], micropolar nanofluid flow [20], magneto-convective non-Newtonian nanofluid slip flow over permeable stretching sheet [21], Non-aligned MHD stagnation point flow of variable viscosity nanofluids [22], Stagnation electrical MHD mixed convection [23], exponential temperature-dependent viscosity and buoyancy effects [24], thermo-diffusion and thermal radiation effects on Williamson nanofluid flow [25], magnetic dipole and radiation effects on viscous ferrofluid flow [26], transient ferromagnetic liquid flow [27], magnetohydrodynamic Oldroyd-B nanofluid [28], spherical and non-spherical nanoparticles effects [29], three dimensional free convective magnetohydrodynamics [30]. Moreover, some works [31][32][33][34] extended Khan and Pop's model for CNTs nanofluids where combined effects of slip and convective boundary conditions have been discussed [31], convective heat transfer in MHD slip flow has been studied [32], nonlinear stretching sheet with variable thickness has been considered [33] and variable thermal conductivity and thermal radiation effects have been discussed.…”

Section: Introductionmentioning

confidence: 99%

“…After reviewed many investigations [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] on boundary layer flow of nanofluids past through linear/nonlinear stretching sheet, none of the them has been reported for boundary layer flow of CNTs nanofluids over a circular stretching sheet. Considering this gap of research, we formulate a model and also numerically simulate it to study the flow characteristic of CNTs nanofluids flow over a circular stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical Simulation of Nanoparticles with Variable Viscosity over a Stretching Sheet

Akbar¹,

Tripathi²,

Khan³

2018

Numerical Simulations in Engineering and Science

View full text Add to dashboard Cite

The effects of different types of base fluids on carbon nanotube (CNT) nanofluids flow over a circular stretching sheet are numerically analyzed. The nonlinear variation of radial velocity in radial direction is assumed at surface of stretching sheet. The temperature dependent fluid viscosity is taken into consideration. Two different types of flows (assisting flow and opposing flow) are discussed under the buoyant force effects. Single walled CNT and multi walled CNT are considered as nanoparticles for better thermal conductivity of the nanofluids. A set of similarity transformations to convert the partial differential equations into ordinary differential equations is hired. The non-linear ODEs are numerically solved by employing fourth order Runge-Kutta method. Discussions of numerical simulations for flow characteristics have been made appropriately. A comparative study for various type of base fluids like kerosene, engine oil and ethylene glycol is also presented. From the predicted simulation, it is observed that the variation in Nusselt number is maximum for engine oil and minimum for kerosene oil however, the variation in skin friction coefficient is largest for kerosene oil and least for engine oil. Furthermore, numerical results are also validated with achieving a good correlation with existing results.

show abstract

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Simulation of Nanoparticles with Variable Viscosity over a Stretching Sheet

Akbar¹,

Tripathi²,

Khan³

2018

Numerical Simulations in Engineering and Science

View full text Add to dashboard Cite

show abstract

“…Ul Haq et al assessed the impacts of carbon nanotubes (CNTs) over a stretching surface. Hayat et al focused on the CNT effects on a nonlinear stretching sheet.…”

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.

View full text Add to dashboard Cite

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...

show abstract

“…Aman et al [8] investigated the influence of magnetohydrodynamics on Poiseuille flow and heat analysis of CNTs with a Casson fluid vertical channel. Further studies on carbon nanotubes can be appraised in [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

et al. 2018

View full text Add to dashboard Cite

Abstract:The aim of this research work is to investigate the innovative concept of magnetohydrodynamic (MHD) three-dimensional rotational flow of nanoparticles (single-walled carbon nanotubes and multi-walled carbon nanotubes). This flow occurs in the presence of non-linear thermal radiation along with heat generation or absorption based on the Casson fluid model over a stretching sheet. Three common types of liquids (water, engine oil, and kerosene oil) are proposed as a base liquid for these carbon nanotubes (CNTs). The formulation of the problem is based upon the basic equation of the Casson fluid model to describe the non-Newtonian behavior. By implementing the suitable non-dimensional conditions, the model system of equations is altered to provide an appropriate non-dimensional nature. The extremely productive Homotopy Asymptotic Method (HAM) is developed to solve the model equations for velocity and temperature distributions, and a graphical presentation is provided. The influences of conspicuous physical variables on the velocity and temperature distributions are described and discussed using graphs. Moreover, skin fraction coefficient and heat transfer rate (Nusselt number) are tabulated for several values of relevant variables. For ease of comprehension, physical representations of embedded parameters such as radiation parameter (Rd), magnetic parameter (M), rotation parameter (K), Prandtl number (Pr), Biot number (λ), and heat generation or absorption parameter (Q h ) are plotted and deliberated graphically.

show abstract

Carbon nanotubes effects in the stagnation point flow towards a nonlinear stretching sheet with variable thickness

Cited by 93 publications

References 47 publications

Numerical Simulation of Nanoparticles with Variable Viscosity over a Stretching Sheet

Numerical Simulation of Nanoparticles with Variable Viscosity over a Stretching Sheet

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

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

Contact Info

Product

Resources

About