Computational Investigation of the Combined Impact of Nonlinear Radiation and Magnetic Field on Three-Dimensional Rotational Nanofluid Flow across a Stretchy Surface

This comparative study inspects the MHD three-dimensional revolving flow and temperature transmission of a radiative stretching surface. The flow of nanofluid is modeled using the Tiwari and Das model. Water is the base fluid, and the nanoparticles are composed of two different types of nanoparticle, i.e., gold and silver (Au and Ag). The non-radiative heat flow notion is examined in a temperature field that results in a nonlinear energy equation. Conformist transformations are used to generate a self-similar arrangement of the leading differential system. The resulting system has an intriguing temperature ratio constraint, which shows whether the flow has a little or significant temperature differential. By using a powerful mathematical technique, numerical results are obtained. The solutions are influenced by both stretching and rotation. The difference in velocity constituents with the elements’ volume fraction is non-monotonic. Results for the rotating nanofluid flow and heat transfer properties for both types of nanoparticles are highlighted with graphs. The impact of physical concentrations, such as heat flux rates and skin friction constants, are examined at the linear extending surface and clarified graphically. Ag-water nanofluid has a high-temperature transfer constant compared to Au-water nanofluid. The velocity profile was also discovered to have a parabolic distribution shape.

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Thermal Analysis of 3D Electromagnetic Radiative Nanofluid Flow with Suction/Blowing: Darcy–Forchheimer Scheme

Micromachines ◽

10.3390/mi12111395 ◽

2021 ◽

Vol 12 (11) ◽

pp. 1395

Author(s):

Hammad Alotaibi ◽

Mohamed R. Eid

Keyword(s):

Activation Energy ◽

Differential Equations ◽

Melt Spinning ◽

Volume Fraction ◽

Three Dimensional ◽

Brownian Diffusion ◽

Force Coefficient ◽

Catalytic Reactors ◽

Nanofluid Flow ◽

The Impact

This paper discusses the Darcy–Forchheimer three dimensional (3D) flow of a permeable nanofluid through a convectively heated porous extending surface under the influences of the magnetic field and nonlinear radiation. The higher-order chemical reactions with activation energy and heat source (sink) impacts are considered. We integrate the nanofluid model by using Brownian diffusion and thermophoresis. To convert PDEs (partial differential equations) into non-linear ODEs (ordinary differential equations), an effective, self-similar transformation is used. With the fourth–fifth order Runge–Kutta–Fehlberg (RKF45) approach using the shooting technique, the consequent differential system set is numerically solved. The influence of dimensionless parameters on velocity, temperature, and nanoparticle volume fraction profiles is revealed via graphs. Results of nanofluid flow and heat as well as the convective heat transport coefficient, drag force coefficient, and Nusselt and Sherwood numbers under the impact of the studied parameters are discussed and presented through graphs and tables. Numerical simulations show that the increment in activation energy and the order of the chemical reaction boosts the concentration, and the reverse happens with thermal radiation. Applications of such attractive nanofluids include plastic and rubber sheet production, oil production, metalworking processes such as hot rolling, water in reservoirs, melt spinning as a metal forming technique, elastic polymer substances, heat exchangers, emollient production, paints, catalytic reactors, and glass fiber production.

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Three-dimensional and two-phase nanofluid flow and heat transfer analysis over a stretching infinite solar plate

Thermal Science ◽

10.2298/tsci160614266h ◽

2018 ◽

Vol 22 (2) ◽

pp. 871-884 ◽

Cited By ~ 6

Author(s):

Mohammad Hatami ◽

Mehdi Khazayinejad ◽

Jiandong Zhou ◽

Dengwei Jing

Keyword(s):

Heat Transfer ◽

Collocation Method ◽

Volume Fraction ◽

Three Dimensional ◽

Heat Transfer Analysis ◽

Nanofluid Flow ◽

Two Phase ◽

Flow And Heat Transfer ◽

Nanoparticles Concentration ◽

Accuracy Of Results

In this work, 3-D and two-phase nanofluid flow and heat transfer is modeled over a stretching infinite solar plate. The governing equations are presented based on previous studies. The infinite boundary condition and shortcoming of traditional analytical collocation method have been overcome in our study by changing the problem into a finite boundary problem with a new analytical method called optimal collocation method. The accuracy of results is examined by fourth order Runge-Kutta numerical method. Effect of some parameters, Prandtl number, Schmidt number, Brownian motion parameter, thermophoresis parameter, ?=b/a (ratio of the stretching rate along y- to x-directions), and power-law index on the velocities, temperature, and nanoparticles concentration functions are discussed. As an important outcome of our 3-D model analysis, it is found that increase in thermophoretic forces can enhance the thickness of both thermal and nanoparticle volume fraction boundary-layers.

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Nanofluid flow containing carbon nanotubes with quartic autocatalytic chemical reaction and Thompson and Troian slip at the boundary

Scientific Reports ◽

10.1038/s41598-020-74855-7 ◽

2020 ◽

Vol 10 (1) ◽

Cited By ~ 1

Author(s):

Muhammad Ramzan ◽

Jae Dong Chung ◽

Seifedine Kadry ◽

Yu-Ming Chu ◽

Muhammad Akhtar

Keyword(s):

Mathematical Model ◽

Carbon Nanotubes ◽

Drag Force ◽

Chemical Reaction ◽

Slip Velocity ◽

Volume Fraction ◽

Surface Drag ◽

Nanofluid Flow ◽

Velocity Parameter ◽

The Impact

Abstract A mathematical model is envisioned to discourse the impact of Thompson and Troian slip boundary in the carbon nanotubes suspended nanofluid flow near a stagnation point along an expanding/contracting surface. The water is considered as a base fluid and both types of carbon nanotubes i.e., single-wall (SWCNTs) and multi-wall (MWCNTs) are considered. The flow is taken in a Dacry-Forchheimer porous media amalgamated with quartic autocatalysis chemical reaction. Additional impacts added to the novelty of the mathematical model are the heat generation/absorption and buoyancy effect. The dimensionless variables led the envisaged mathematical model to a physical problem. The numerical solution is then found by engaging MATLAB built-in bvp4c function for non-dimensional velocity, temperature, and homogeneous-heterogeneous reactions. The validation of the proposed mathematical model is ascertained by comparing it with a published article in limiting case. An excellent consensus is accomplished in this regard. The behavior of numerous dimensionless flow variables including solid volume fraction, inertia coefficient, velocity ratio parameter, porosity parameter, slip velocity parameter, magnetic parameter, Schmidt number, and strength of homogeneous/heterogeneous reaction parameters are portrayed via graphical illustrations. Computational iterations for surface drag force are tabulated to analyze the impacts at the stretched surface. It is witnessed that the slip velocity parameter enhances the fluid stream velocity and diminishes the surface drag force. Furthermore, the concentration of the nanofluid flow is augmented for higher estimates of quartic autocatalysis chemical.

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Analytical Study of Heat Transfer of a Unsteady Newtonian Nanofluid Flow Problem

WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER ◽

10.37394/232012.2020.15.22 ◽

2020 ◽

Vol 15 ◽

Keyword(s):

Heat Transfer ◽

Volume Fraction ◽

Skin Friction Coefficient ◽

Parallel Plates ◽

Nanofluid Flow ◽

Shooting Technique ◽

Flow And Heat Transfer ◽

Transfer Behavior ◽

Basic Equations ◽

Squeeze Number

Heat transfer behavior of unsteady flow of squeezing nanofluid (Copper+water) between two parallel plates is investigated. By using the appropriate transformation for the velocity and temperature, the basic equations governing the flow and heat transfer were reduced to a set of ordinary differential equations. These equations subjected to the associated boundary conditions were solved analytically using Homotopy Perturbation Method and numerically using Runge-Kutta-Fehlberg method with shooting technique. Effects on the behavior of velocity and temperature for various values of relevant parameters are illustrated graphically. The skin-friction coefficient, heat transfer and Nusselt number rate are also tabulated for various governing parameters. The results indicate that, for nanofluid flow, the rates of heat transfer and velocity had direct relationship with squeeze number and nanoparticle volume fraction they are also a decreasing function of those parameters

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Effect of Additional Irradiation at Different Fluxes on RPV Embrittlement

Volume 1: Codes and Standards ◽

10.1115/pvp2009-77658 ◽

2009 ◽

Cited By ~ 2

Author(s):

Kenji Dohi ◽

Kenji Nishida ◽

Akiyoshi Nomoto ◽

Naoki Soneda ◽

Hiroshi Matsuzawa ◽

...

Keyword(s):

Neutron Flux ◽

Solute Atom ◽

Volume Fraction ◽

Neutron Fluence ◽

Three Dimensional ◽

Atom Probe ◽

Atom Clusters ◽

Neutron Fluences ◽

The Difference ◽

Test Reactor

The effect of the neutron flux at high fluence on the microstructural and hardness changes of a reactor pressure vessel (RPV) steel was investigated. An accelerated test reactor irradiation of a RPV material, previously irradiated in commercial reactors, was carried out at the lowest possible neutron fluxes in order to obtain neutron fluences up to approximately 1×1020 n/cm2 (E>1MeV). State-of-the-art experimental techniques such as three-dimensional atom probe were applied to carry out advanced quantitative characterization of defect features in the materials. Results for the same material irradiated in both high and low flux conditions are compared. For neutron fluences above 6×1019 n/cm2 (E>1MeV) the difference in the neutron fluence dependence of the increase in hardness is not seen for any neutron flux condition. The volume fraction of solute atom clusters increases linearly with neutron fluence, and the influence of neutron flux is not significant. The component elements and the chemical composition of the solute atom clusters formed by the irradiation do not change regardless of the neutron fluence and flux. The square root of the volume fraction of the solute atom clusters is a good correlation with the increase in hardness.

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Impact of Second-Order Slip and Double Stratification Coatings on 3D MHD Williamson Nanofluid Flow with Cattaneo–Christov Heat Flux

Coatings ◽

10.3390/coatings9120849 ◽

2019 ◽

Vol 9 (12) ◽

pp. 849 ◽

Cited By ~ 8

Author(s):

Muhammad Ramzan ◽

Asma Liaquet ◽

Seifedine Kadry ◽

Sungil Yu ◽

Yunyoung Nam ◽

...

Keyword(s):

Heat Flux ◽

Three Dimensional ◽

Equation System ◽

Second Order ◽

Double Stratification ◽

Nanofluid Flow ◽

Analysis Technique ◽

Homotopy Analysis ◽

Opposite Behavior ◽

The Impact

The present research examines the impact of second-order slip with thermal and solutal stratification coatings on three-dimensional (3D) Williamson nanofluid flow past a bidirectional stretched surface and envisages it analytically. The novelty of the analysis is strengthened by Cattaneo–Christov (CC) heat flux accompanying varying thermal conductivity. The appropriate set of transformations is implemented to get a differential equation system with high nonlinearity. The structure is addressed via the homotopy analysis technique. The authenticity of the presented model is verified by creating a comparison with the limited published results and finding harmony between the two. The impacts of miscellaneous arising parameters are deliberated through graphical structures. Some useful tabulated values of arising parameters versus physical quantities are also discussed here. It is observed that velocity components exhibit an opposite trend with respect to the stretching ratio parameter. Moreover, the Brownian motion parameter shows the opposite behavior versus temperature and concentration distributions.

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Fluid flow and heat transfer of a stratified system during natural convection – influence of chamfered corners

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-06-2018-0296 ◽

2019 ◽

Vol 29 (2) ◽

pp. 470-486 ◽

Cited By ~ 4

Author(s):

Alireza Rahimi ◽

Aravindhan Surendar ◽

Aygul Z. Ibatova ◽

Abbas Kasaeipoor ◽

Emad Hasani Malekshah

Keyword(s):

Heat Transfer ◽

Fluid Flow ◽

Natural Convection ◽

Entropy Generation ◽

Volume Fraction ◽

Solid Volume Fraction ◽

Three Dimensional ◽

Immiscible Fluids ◽

Content Type ◽

Flow And Heat Transfer

Purpose This paper aims to investigate the three-dimensional natural convection and entropy generation in the rectangular cuboid cavities included by chamfered triangular partition made by polypropylene. Design/methodology/approach The enclosure is filled by multi-walled carbon nanotubes (MWCNTs)-H2O nanofluid and air as two immiscible fluids. The finite volume approach is used for computation. The fluid flow and heat transfer are considered with combination of local entropy generation due to fluid friction and heat transfer. Moreover, a numerical method is developed based on three-dimensional solution of Navier–Stokes equations. Findings Effects of side ratio of triangular partitions (SR = 0.5, 1 and 2), Rayleigh number (103 < Ra < 105) and solid volume fraction (f = 0.002, 0.004 and 0.01 Vol.%) of nanofluid are investigated on both natural convection characteristic and volumetric entropy generation. The results show that the partitions can be a suitable method to control fluid flow and energy consumption, and three-dimensional solutions renders more accurate results. Originality/value The originality of this work is to study the three-dimensional natural convection and entropy generation of a stratified system.

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Three-Dimensional Hybrid Nanofluid Flow and Heat Transfer past a Permeable Stretching/Shrinking Sheet with Velocity Slip and Convective Condition

Chinese Journal of Physics ◽

10.1016/j.cjph.2020.03.032 ◽

2020 ◽

Vol 66 ◽

pp. 157-171 ◽

Cited By ~ 10

Author(s):

Najiyah Safwa Khashi'ie ◽

Norihan Md Arifin ◽

Ioan Pop ◽

Roslinda Nazar ◽

Ezad Hafidz Hafidzuddin ◽

...

Keyword(s):

Heat Transfer ◽

Three Dimensional ◽

Velocity Slip ◽

Shrinking Sheet ◽

Hybrid Nanofluid ◽

Convective Condition ◽

Nanofluid Flow ◽

Flow And Heat Transfer

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Impact of Urban Undersea Tunnel Longitudinal Slope on the Visual Characteristics of Drivers

Journal of Advanced Transportation ◽

10.1155/2020/2576769 ◽

2020 ◽

Vol 2020 ◽

pp. 1-11

Author(s):

Shoushuo Wang ◽

Zhigang Du ◽

Fangtong Jiao ◽

Libo Yang ◽

Yudan Ni

Keyword(s):

Repeated Measures ◽

Three Dimensional ◽

Fixation Time ◽

Eye Tracker ◽

Three Dimensional Model ◽

Longitudinal Slope ◽

Visual Characteristics ◽

The Difference ◽

Vehicle Test ◽

The Impact

This study aims to investigate the impact of the urban undersea tunnel longitudinal slope on the visual characteristics of drivers. 20 drivers were enrolled to conduct the real vehicle test of the urban undersea tunnel. First, the data of average fixation time and visual lobe were collected by an eye tracker. The differential significance was tested using the one-way repeated measures analysis of variance (ANOVA). Then, the difference between the up-and-down slope (direction) factor and the longitudinal slope (percent) factor on the two indexes were analyzed using the two-way repeated measures ANOVA. Second, by constructing a Lorentz model, the impact of the longitudinal slope on the average fixation time and the visual lobe were analyzed. Besides, a three-dimensional model of the longitudinal slope, average fixation time, and visual lobe was quantified. The results showed that the average fixation time and visual lobe under different longitudinal slopes markedly differed when driving on the uphill and downhill sections. The average fixation time and visual lobe under two factors were markedly different. Moreover, with an increase in the longitudinal slope, the average fixation time exhibited a trend of increasing first then decreasing; the visual lobe exhibited a trend of decreasing first and then increasing. The average fixation time reached the minimum and maximum value when the slope was 2.15% and 4.0%, whereas the visual lobe reached the maximum and minimum value when the slope was 2.88% and 4.0%. Overall, the longitudinal slope exerted a great impact on the visual load of the driver.

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Mixed Convective Flow of Micropolar Nanofluid across a Horizontal Cylinder in Saturated Porous Medium

Applied Sciences ◽

10.3390/app9235241 ◽

2019 ◽

Vol 9 (23) ◽

pp. 5241 ◽

Cited By ~ 6

Author(s):

Ahmed M. Rashad ◽

Waqar A. Khan ◽

Saber M. M. EL-Kabeir ◽

Amal M. A. EL-Hakiem

Keyword(s):

Heat Transfer ◽

Porous Medium ◽

Convective Flow ◽

Volume Fraction ◽

Saturated Porous Medium ◽

Titania Nanoparticles ◽

Flow And Heat Transfer ◽

Micropolar Nanofluid ◽

Mixed Convective Flow ◽

The Impact

The micropolar nanofluids are the potential liquids that enhance the thermophysical features and ability of heat transportation instead of base liquids. Alumina and Titania nanoparticles are mixed in a micropolar fluid. The impact of convective boundary condition is also examined with assisting and opposing flows of both nanofluids. The main objective of this study is to investigate mixed convective flow and heat transfer of micropolar nanofluids across a cylinder in a saturated porous medium. Non-similar variables are used to make the governing equations dimensionless. The local similar and non-similar solutions are obtained by using the Runge-Kutta-Fehlberg method of seventh order. The impacts of various embedded variables on the flow and heat transfer of micropolar nanofluids are investigated and interpreted graphically. It is demonstrated that the skin friction and heat transfer rates depend on solid volume fraction of nanoparticles, Biot number, mixed convection, and material parameters.

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