New aspects of fractional Biswas–Milovic model with Mittag-Leffler law

2019 ◽  
Vol 14 (3) ◽  
pp. 303 ◽  
Author(s):  
Jagdev Singh ◽  
Devendra Kumar ◽  
Dumitru Baleanu
Keyword(s):  
Numerical Simulation ◽  
Optical Communications ◽  
Software Package ◽  
Fractional Operator ◽  
Natural Phenomena ◽  
Long Distance ◽  
Parabolic Law ◽  
Analysis Technique ◽  
Homotopy Analysis ◽  
Homotopy Polynomials

This article deals with a fractional extension of Biswas–Milovic (BM) model having Kerr and parabolic law nonlinearities. The BM model plays a key role in describing the long-distance optical communications. The fractional homotopy analysis transform technique (FHATM) is applied to examine the BM equation involving Atangana–Baleanu (AB) derivative of fractional order. The FHATM is constructed by using homotopy analysis technique, Laplace transform algorithm and homotopy polynomials. The numerical simulation work is performed with the aid of maple software package. In order to demonstrate the effects of order of AB operator, variables and parameters on the displacement, the results are shown graphically. The outcomes of the present investigation are very encouraging and show that the AB fractional operator is very useful in mathematical modelling of natural phenomena.

Focusing Technique for Holographic Subsurface Radar Based on Image Entropy

2021 ◽  
Vol 36 (4) ◽  
pp. 373-378
Author(s):  
Haewon Jung ◽  
Dal-Jae Yun ◽  
Hoon Kang
Keyword(s):  
Numerical Simulation ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Software Package ◽  
Reconstruction Algorithm ◽  
Simulation Software ◽  
Material Information ◽  
Difference Time ◽  
Actual Depth ◽  
Good Agreement

An image focusing method for holographic subsurface radar (HSR) is proposed herein. HSR is increasingly being utilized to survey objects buried at shallow depths and the acquired signals are converted into an image by a reconstruction algorithm. However, that algorithm requires actual depth and material information or depends on human decisions. In this paper, an entropy-based image focusing technique is proposed and validated by numerical simulation software package based on finite-difference time-domain method and experiment. The resulting images show good agreement with the actual positions and shapes of the targets.

scholarly journals Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface

Coatings ◽  
2021 ◽  
Vol 11 (9) ◽  
pp. 1129
Author(s):  
Auwalu Hamisu Usman ◽  
Zahir Shah ◽  
Poom Kumam ◽  
Waris Khan ◽  
Usa Wannasingha Humphries
Keyword(s):  
Magnetic Dipole ◽  
Chemical Reaction ◽  
Darcy Law ◽  
Nonlinear Thermal Radiation ◽  
Vertical Cone ◽  
Temperature Changes ◽  
Analysis Technique ◽  
Homotopy Analysis ◽  
Magnetic Nanomaterial ◽  
Cone Surface

Because of the floating magnetic nanomaterial, ferrofluids have magneto-viscous properties, enabling controllable temperature changes as well as nano-structured fluid characteristics. The study’s purpose is to evolve and solve a theoretical model of bioconvection nanofluid flow with a magnetic dipole effect in the presence of Curie temperature and using the Forchheimer-extended Darcy law subjected to a vertical cone surface. The model also includes the nonlinear thermal radiation, heat suction/injection, viscous dissipation, and chemical reaction effects. The developed model problem is transformed into nonlinear ordinary differentials, which have been solved using the homotopy analysis technique. In this problem, the behavior of function profiles are graphically depicted and explained for a variety of key parameters. For a given set of parameters, tables representthe expected numerical values and behaviors of physical quantities. The nanofluid velocity decreases as the ferrohydrodynamic, local inertia, and porosity parameters increase and decrease when the bioconvection Rayleigh number increases. Many key parameters improved the thermal boundary layer and temperature. The concentration is low when the chemical reaction parameter and Schmidt number rises. Furthermore, as the bioconvection constant, Peclet and Lewis numbers rise, so does the density of motile microorganisms.

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

Coatings ◽  
2019 ◽  
Vol 9 (12) ◽  
pp. 849 ◽  
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.

scholarly journals Darcy–Forchheimer Radiative Flow of Micropoler CNT Nanofluid in Rotating Frame with Convective Heat Generation/Consumption

Processes ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 666 ◽  
Author(s):  
Ebraheem O. Alzahrani ◽  
Zahir Shah ◽  
Wajdi Alghamdi ◽  
Malik Zaka Ullah
Keyword(s):  
Heat Generation ◽  
High Surface ◽  
High Surface Area ◽  
Numerical Results ◽  
Coupled Equations ◽  
Analysis Technique ◽  
Homotopy Analysis ◽  
Material Energy ◽  
The Impact ◽  
Thermal Radiation Effect

Since 1991, from the beginning of the carbon nanotube era, this has been a focus point for investigation due to its synthetic and simple nature. Unique properties like good stiffness, high surface area, and resilience of carbon nanotubes (CNTs) have been investigated in many engineering applications such as hydrogen storage, composite material, energy storage, electrochemical super-capacitors, transistors, sensors, and field-emitting devices. Keeping in view these applications, we investigate single and multi-walled CNTs nanofluid flow having water as the base fluid between parallel and horizontal rotating plates with microstructure and inertial properties. The thermal radiation effect is considered for variable phenomenon of heat generation/consumption. The principal equations are first symmetrically transformed to a system of nonlinear coupled ordinary differential equations (ODEs), and then, Homotopy Analysis Technique (HAM) and numerical method are employed for solving these coupled equations. The obtained analytical and numerical results are explained graphically and through different tables. The HAM and numerical results show an excellent agreement. The Skin friction and the Nusselt number are numerically calculated and then analyzed with the already published results, and these results are found to be in agreement with one another. The impact of important parameters are shown graphically.

Quantitative Risk Analysis for Natural Gas Long-Distance Pipeline Leakage

2014 ◽  
Vol 1030-1032 ◽  
pp. 661-664
Author(s):  
Zhe Zuo
Keyword(s):  
Numerical Simulation ◽  
Risk Assessment ◽  
Natural Gas ◽  
Emergency Response ◽  
Necessary Conditions ◽  
Quantitative Risk Assessment ◽  
Safe Operation ◽  
Long Distance ◽  
Main Factors ◽  
Accident Scenarios

The risk of natural gas long-distance pipeline and main factors of accidents are analyzed in this paper. According the consequences from above, quantitative risk assessment of long-distance pipelines under specific accident scenarios are completed with the help of numerical simulation model on long-distance pipeline leakage and dispersion. What’s more, on the basis of the assessment results, the necessary conditions for long-distance pipeline safe operation are presented. Finally, conclusions and safe operations under necessary conditions given in this paper are helpful for regular operation of pipeline, accident prevention, emergency response and reasonable supervision.

scholarly journals Mathematical modelling and numerical simulation of linear electro-hydraulic servomechanism with stepper motor

2020 ◽  
Vol 180 ◽  
pp. 04005
Author(s):  
Vergil Muraru ◽  
Constantin Calinoiu ◽  
Sebastian Muraru ◽  
Ana Dulgheru ◽  
Cornelia Muraru-Ionel
Keyword(s):  
Numerical Simulation ◽  
Mathematical Modelling ◽  
Software Package ◽  
Simulation Software ◽  
Stepper Motor ◽  
Structural Description ◽  
Technical Equipment ◽  
Analysis And Synthesis ◽  
Amesim Simulation ◽  
Automatic Systems

The paper presents the results of research on the performance of linear electro-hydraulic servomechanisms with stepper motor, evaluated by mathematical modelling and numerical simulation with the AMESIM software package. These servomechanisms have a great potential for application, including for agricultural technical equipment. Servomechanisms of various types are used for the rapid and high precision operation of the various systems. In practice, electro-hydraulic servomechanisms have been required in the case of the systems requiring high forces or moments. These equipment are automatic hydraulic tracking systems and can be analysed with methods specific to automatic systems. The paper contains a structural description of an electro-mechanical servomechanism with stepper motor, its operation, mathematical model and its performances obtained by numerical simulation. The mathematical modelling of the electro-hydraulic servomechanism is based on the relations between the input sizes and output sizes of the equipment in its structure as well as the connection relations between these equipment. Based on the obtained results it is demonstrated that the analysis and synthesis of electro-hydraulic servomechanisms with stepper motor can be determined by numerical simulation using the AMESIM simulation software.

scholarly journals Study on Borehole Arrangement Methods for Gas Extraction by Hydraulic Slotting in Long-Distance Through-Coal Seam Tunnel

Geofluids ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Cunfang Zhu ◽  
Shuang Cai
Keyword(s):  
Numerical Simulation ◽  
Coal Seam ◽  
Simulation Models ◽  
Gas Production ◽  
Gas Extraction ◽  
Long Distance ◽  
Pressure Relief ◽  
Coal Deposits ◽  
Geological Conditions ◽  
Rapid Pressure

How to quickly eliminate outburst in long-distance through-coal seam tunnels is one of the major challenges faced by the tunnel industry in mountainous areas. Compared with coal mine rock crosscut coal uncovering, the work surrounding the rock of through-coal seam tunnels has a high degree of breakage, large cross-section of coal uncovering, and tight time and space. In this paper, a method of networked slotting in long-distance through-coal seam tunnels for rapid pressure relief and outburst elimination is proposed. Based on this method, the corresponding mathematical governing equations and numerical simulation models have been established. The optimal borehole arrangement spacing and the slot arrangement spacing obtained by numerical optimization are 2.85 m and 3.1 m, respectively. Field gas production data of through-coal seam tunnels show that compared with the traditional dense-borehole gas extraction, the method of networked slotting in long-distance through-coal seam tunnels for rapid pressure relief and outburst elimination can shorten the extraction time by about 66%, the net quantity of peak extraction is increased by 3.55 times, and the total quantity of gas extraction when reaching the outburst prevention index is increased by 1.26 times, which verifies the feasibility of this method and the reliability of numerical simulation results. This study could be used as a valuable example for other coal deposits being mined under similar geological conditions.

Numerical Simulation on Spreading Characteristic of Coach Fire

2012 ◽  
Vol 518-523 ◽  
pp. 1269-1272 ◽  
Author(s):  
Liang Yi ◽  
Jie Chen
Keyword(s):  
Fluid Dynamics ◽  
Numerical Simulation ◽  
Computational Fluid Dynamics ◽  
Heat Release ◽  
Heat Release Rate ◽  
Fire Protection ◽  
Release Rate ◽  
Software Package ◽  
Maximum Temperature ◽  
Peak Heat Release Rate

The aim of this work is to study the burning characteristics of coach fire. With application of computational fluid dynamics (FDS software package), coach fires caused by arson are simulated under different ventilation conditions. Variation of heat release rate (HRR) and distribution of temperature are analyzed. Peak heat release rate of coach fire caused by arson in passenger carriage can reach about 24 MW and maximum temperature in the carriage is over 1000 °C. Results of this study can be referred for fire protection and rescue design of coach.

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