scholarly journals 3D Brownian Motion Thin Film Fluid spraying nanoparticles impact of Convective Heat Phenomena over Stretchable Rotating Surface: Numerical Computation

2021 ◽  
Author(s):  
Zeeshan Khan ◽  
Haroon Rasheed ◽  
Waris Khan
Keyword(s):  
Thin Film ◽  
Brownian Motion ◽  
Schmidt Number ◽  
Chemical Species ◽  
Three Dimensions ◽  
Rotating Surface ◽  
Fundamental Systems ◽  
Surface Similarity ◽  
Inclined Surface ◽  
Momentum Boundary Layer

Abstract The purpose of this research is to examine thin-film nanomaterial movement in three dimensions over a stretchable rotating inclined surface. Similarity variables are used to transform fundamental systems of equations into a set of First-order Differential Equations. The Runge-Kutta Fourth Order approach is utilized for numerical purpose solution. Variable thickness., Unsteadiness parameter., Prandtl number., Schmidt number., Brownian-motion parameter., and Thermophoretic parameter have all been seen to have an impact. Physically and statistically, the indispensable terms namely Nusselt as well as Sherwood numbers are also investigated. As the dimensionless factor \(S\) grows, the temperature field decreases. The momentum boundary layer is cooled when the parameter \(S\) is improved, and the opposite effect is observed for Nusselt number. A greater Schmidt number Sc reduces the Sherwood number by increasing the kinematic viscosity as well as Concentration of the chemical species. Further, the RK4 method is also validated with the HAM approach. Furthermore, we verified the acquired results by establishing a comparison with previous literature, and we discovered an outstanding match, confirming the accuracy of the current communication.

scholarly journals Analysis of Radiation Damage in Light Water Reactors: Comparison of Cluster Analysis Methods for the Analysis of Atom Probe Data

2017 ◽  
Vol 23 (2) ◽  
pp. 366-375 ◽  
Author(s):  
Jonathan M. Hyde ◽  
Gérald DaCosta ◽  
Constantinos Hatzoglou ◽  
Hannah Weekes ◽  
Bertrand Radiguet ◽  
...  
Keyword(s):  
Cluster Analysis ◽  
Radiation Damage ◽  
Defect Formation ◽  
Chemical Species ◽  
Atom Probe ◽  
Three Dimensions ◽  
Multiple Sources ◽  
Damage Models ◽  
Combining Data ◽  
Water Reactors

AbstractIrradiation of reactor pressure vessel (RPV) steels causes the formation of nanoscale microstructural features (termed radiation damage), which affect the mechanical properties of the vessel. A key tool for characterizing these nanoscale features is atom probe tomography (APT), due to its high spatial resolution and the ability to identify different chemical species in three dimensions. Microstructural observations using APT can underpin development of a mechanistic understanding of defect formation. However, with atom probe analyses there are currently multiple methods for analyzing the data. This can result in inconsistencies between results obtained from different researchers and unnecessary scatter when combining data from multiple sources. This makes interpretation of results more complex and calibration of radiation damage models challenging. In this work simulations of a range of different microstructures are used to directly compare different cluster analysis algorithms and identify their strengths and weaknesses.

An atomistic simulator for thin film deposition in three dimensions

1998 ◽  
Vol 84 (7) ◽  
pp. 3636-3649 ◽  
Author(s):  
Hanchen Huang ◽  
George H. Gilmer ◽  
Tomas Dı́az de la Rubia
Keyword(s):  
Thin Film ◽  
Thin Film Deposition ◽  
Film Deposition ◽  
Three Dimensions

scholarly journals Positive recurrence of reflecting Brownian motion in three dimensions

2010 ◽  
Vol 20 (2) ◽  
pp. 753-783 ◽  
Author(s):  
Maury Bramson ◽  
J. G. Dai ◽  
J. M. Harrison
Keyword(s):  
Brownian Motion ◽  
Three Dimensions ◽  
Reflecting Brownian Motion ◽  
Positive Recurrence

scholarly journals Magneto-nanofluid flow with heat transfer past a stretching surface for the new heat flux model using numerical approach

2017 ◽  
Vol 27 (6) ◽  
pp. 1215-1230 ◽  
Author(s):  
Noreen Sher Akbar ◽  
O. Anwar Beg ◽  
Z.H. Khan
Keyword(s):  
Brownian Motion ◽  
Schmidt Number ◽  
Stretching Sheet ◽  
Thermal Relaxation ◽  
Nanofluid Flow ◽  
Content Type ◽  
Flow Heat ◽  
Fourier Model ◽  
Steady Laminar ◽  
Brownian Motion Parameter

Purpose Sheet processing of magnetic nanomaterials is emerging as a new branch of smart materials’ manufacturing. The efficient production of such materials combines many physical phenomena including magnetohydrodynamics (MHD), nanoscale, thermal and mass diffusion effects. To improve the understanding of complex inter-disciplinary transport phenomena in such systems, mathematical models provide a robust approach. Motivated by this, this study aims to develop a mathematical model for steady, laminar, MHD, incompressible nanofluid flow, heat and mass transfer from a stretching sheet. Design/methodology/approach This study developed a mathematical model for steady, laminar, MHD, incompressible nanofluid flow, heat and mass transfer from a stretching sheet. A uniform constant-strength magnetic field is applied transversely to the stretching flow plane. The Buongiorno nanofluid model is used to represent thermophoretic and Brownian motion effects. A non-Fourier (Cattaneo–Christov) model is used to simulate thermal conduction effects, of which the Fourier model is a special case when thermal relaxation effects are neglected. Findings The governing conservation equations are rendered dimensionless with suitable scaling transformations. The emerging nonlinear boundary value problem is solved with a fourth-order Runge–Kutta algorithm and also shooting quadrature. Validation is achieved with earlier non-magnetic and forced convection flow studies. The influence of key thermophysical parameters, e.g. Hartmann magnetic number, thermal Grashof number, thermal relaxation time parameter, Schmidt number, thermophoresis parameter, Prandtl number and Brownian motion number on velocity, skin friction, temperature, Nusselt number, Sherwood number and nanoparticle concentration distributions, is investigated. Originality/value A strong elevation in temperature accompanies an increase in Brownian motion parameter, whereas increasing magnetic parameter is found to reduce heat transfer rate at the wall (Nusselt number). Nanoparticle volume fraction is observed to be strongly suppressed with greater thermal Grashof number, Schmidt number and thermophoresis parameter, whereas it is elevated significantly with greater Brownian motion parameter. Higher temperatures are achieved with greater thermal relaxation time values, i.e. the non-Fourier model predicts greater values for temperature than the classical Fourier model.

scholarly journals Hall effect on Titania nanofluids thin film flow and radiative thermal behavior with different base fluids on an inclined rotating surface

AIP Advances ◽  
2019 ◽  
Vol 9 (5) ◽  
pp. 055113 ◽  
Author(s):  
Zahir Shah ◽  
Asad Ullah ◽  
Ebenezer Bonyah ◽  
Muhammad Ayaz ◽  
Saeed Islam ◽  
...  
Keyword(s):  
Thin Film ◽  
Thermal Behavior ◽  
Hall Effect ◽  
Film Flow ◽  
Thin Film Flow ◽  
Rotating Surface

The Fractal Interpolating Algorithm of 3D Terrain Surface Reconstruction

2015 ◽  
Vol 734 ◽  
pp. 526-529 ◽  
Author(s):  
Jian Xiong
Keyword(s):  
Image Processing ◽  
Brownian Motion ◽  
Fractional Brownian Motion ◽  
Surface Reconstruction ◽  
Three Dimensions ◽  
3D Terrain ◽  
Terrain Surface

Fractal is a science which studies very irregular and complicated natural shapes. It has been used widely in image processing. Firstly this thesis analyses the reasons that fractal can be used in 3D (Three Dimensions) terrain surface reconstruction. Then, it introduces fractional Brownian motion (fBm). On this basis, the thesis presents an interpolating algorithm to reconstruct 3D terrain surface. The algorithm uses fBm model to interpolate. It can be achieved simply and a good result is obtained.

Depth Profiling of Molybdenum Thin Films Using Grazing Incidence X-Ray Scattering

1993 ◽  
Vol 317 ◽  
Author(s):  
Sandra G. Malhotra ◽  
Z. Rek ◽  
M. Vill ◽  
O.P. Karpenko ◽  
S.M. Yalisove ◽  
...  
Keyword(s):  
Thin Film ◽  
Depth Profiling ◽  
Grazing Incidence ◽  
Lattice Parameter ◽  
Three Dimensions ◽  
X Ray ◽  
X Ray Scattering ◽  
Average Change ◽  
Principal Strains ◽  
Ray Scattering

ABSTRACTIt is important that inherent strains (or stresses) be controlled during thin film processing. This study used grazing incidence x-ray scattering (G1XS) to determine the strain gradient present in a ∼1700 Å sputtered molybdenum thin film. In particular, the gradient in the hydrostatic strain was Measured. This observation corresponded to assessing the average change in the lattice parameter as a function of depth throughout the thickness of the film. In addition, the strain ellipsoids, which represent the state of strain in three dimensions, were calculated as a function of film depth. It was shown that the strain varied throughout the ∼1700 Å Mo film thickness and that the principal strains were anisotropic, with one principal strain much larger than the others in Magnitude.

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