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Article
Engineering, Multidisciplinary
Mumtaz Khan et al.
Summary: This study computationally assesses the boundary layer flow and heat transfer behavior of fractional Maxwell viscoelastic nanofluid and their hybrids over a permeable vertical surface, taking into account the effects of Lorentz and buoyancy forces. The study models the flow problem with novel distributed order time fractional derivatives in order to control the flow and heat transfer. The results show that the heat transfer rate increases by 56.51% with an increase in the thermal Grashof number, and an increase in nanoparticles volume fraction enhances the thermal conductivity. The graphical analysis demonstrates the effects of flow characteristics on velocity and temperature fields. The involvement of novel distributed fractional order derivatives and nanoparticles enhances the importance of the simulated results for effectively controlling thermal engineering issues.
AIN SHAMS ENGINEERING JOURNAL
(2023)
Article
Mathematics, Applied
Yuehua Jiang et al.
Summary: This paper investigates the MHD flow of non-Newtonian fluid in porous media and considers the effects of chemical reaction, radiation effects, and boundary conditions on fluid flow, heat transfer, and mass transfer. Numerical simulation results show that fractional derivative and Darcy number have significant effects on the velocity distribution.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2022)
Article
Chemistry, Physical
T. Hayat et al.
Summary: Heat transportation plays a significant role in various industrial and thermal polymer processing optimization. This paper focuses on examining the entropy in the unsteady magnetohydrodynamic flow of Casson fluid, considering radiation, dissipation, and ohmic heating. The obtained differential system is solved numerically, and the effects of different parameters on fluid flow and thermal transfer are discussed.
INTERNATIONAL JOURNAL OF HYDROGEN ENERGY
(2022)
Article
Physics, Multidisciplinary
Anuar Jamaludin et al.
Summary: The study focuses on mixed convection stagnation-point flow and heat transfer of incompressible Cross fluid on a permeable shrinking sheet, with suction and thermal radiation effects. Numerical solutions obtained revealed dual solutions for both assisting and opposing flow regions, with stability analysis showing the upper branch solution to be stable and the lower branch solution to be unstable. Factors such as Weissenberg number, Prandtl number, and suction parameter were found to strongly influence the range of existence for dual solutions.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Thermodynamics
Ahmed M. Megahed et al.
Summary: This study investigates the impact of chemical reactions on laminar Cross fluid flow and heat mass transfer, introduces numerical treatments for related equations, and presents graphical representations of fluid velocity, temperature, and concentration variations. The results highlight the significant roles played by solutal and thermal stratification phenomena in heat and mass transfer processes.
CASE STUDIES IN THERMAL ENGINEERING
(2022)
Article
Physics, Multidisciplinary
F. Mabood et al.
Summary: In this study, the oblique stagnation point flow of a viscoelastic nanofluid over a stretching cylinder is analyzed, considering the effects of non-linear thermal radiation and chemical reaction. The impact of various parameters on flow and heat transfer features is investigated numerically and graphically.
CHINESE JOURNAL OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
Nepal Chandra Roy et al.
Summary: The effect of a binary chemical reaction with activation energy on the heat and mass transfer of a hybrid nanofluid flow over a permeable stretching surface was investigated. Dual solutions were observed within a certain interval of the suction parameter, and the range of dual solutions was found to widen with an increase in the volume fraction of copper nanoparticles, the Richardson's number, and the combined buoyancy force parameter. Conversely, the range of dual solutions decreased with an increase in the volume fraction of alumina nanoparticles, stretching parameter, and temperature difference parameter. The results also showed that the skin friction coefficient, local Nusselt number, and Sherwood number increased with an increase in the suction parameter, volume fraction of copper nanoparticles, Richardson’s number, and combined buoyancy force parameter.
CHINESE JOURNAL OF PHYSICS
(2022)
Article
Engineering, Multidisciplinary
S. Maarouf et al.
Summary: In this paper, a finite element level set method based on the method of characteristics is presented and analyzed for two phase flow with surface tension effects. The discretization uses a first order method of characteristics approach for the evolution of the level set function and the material derivative of the velocity. The decoupling of interface transport from the Navier-Stokes equations in each time step leads to well-posedness results for subproblems and error estimates under high regularity assumptions. Three computational examples demonstrate the performance of the proposed method.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Construction & Building Technology
M. Lagos-Varas et al.
Summary: This study focuses on the mechanical behavior of asphalt mastic with filler particles bonded with asphalt bitumens. A new methodology for rheological characterization of elastic properties of filler and elastic-viscous properties of asphalt bitumen is proposed. The results show a better fit to the experimental curves and differentiate the elastic capacity of each filler. The new model can be used to modify bitumen properties for optimized and stronger asphalt mixtures.
CONSTRUCTION AND BUILDING MATERIALS
(2022)
Article
Engineering, Multidisciplinary
Muhammad Shoaib Anwar et al.
Summary: This study investigates the flow characteristics of viscoelastic fractional nanofluid in a Darcy medium, taking into account the memory effects due to elasticity with noninteger time derivatives. Nonlinear differential equations are used to model the unsteady motion of MHD flow and convection parameters are incorporated to account for buoyancy forces. A numerical algorithm based on finite difference and finite element methods is developed for solving the governing flow equations. The study computes the friction coefficient, Sherwood numbers, and Nusselt numbers for the noninteger derivative model, and finds that noninteger numbers exhibit similar behavior for concentration, temperature, and velocity fields. The findings have important implications for various flows, especially in the polymer industry and nanofiber production via electrospinning.
MATHEMATICAL PROBLEMS IN ENGINEERING
(2022)
Article
Mathematics, Applied
Thomas Eiter et al.
Summary: This article considers a fluid model with viscoelastic and viscoplastic effects, proving the existence of global-in-time weak solutions that satisfy an energy inequality under general boundary conditions.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2022)
Article
Optics
Beyhan Yilmaz et al.
Summary: The study investigates the effects of fractional derivatives and integrals on the geometric properties of linearly polarized light waves, creating a fractional alternative moving frame and characterizing light waves along a fiber optic with the help of fractional analysis. It aims to provide a more numerical approach to solving problems in physics and engineering by utilizing fractional analysis.
Article
Thermodynamics
Zakir Hussain et al.
Summary: This study reveals the effects of magnetohydrodynamics, variable viscosity, and mixed convection on the entropy analysis in the flow of hybrid nanofluid. The findings show that the entropy rate and Bejan number in hybrid nanoliquid flow are higher compared to normal nanoliquid.
CASE STUDIES IN THERMAL ENGINEERING
(2022)
Article
Physics, Multidisciplinary
V. Puneeth et al.
Summary: In this study, the bioconvective flow of Ree-Eyring through an expanding sheet with a porous medium is analyzed. The effects of an inclined magnetic field and gyrotactic microorganisms are considered. The mathematical model, based on Buongiorno's model, is framed using partial differential equations and later solved using DTM. The results reveal the relationship between the velocity, motile density, and thermal and mass profiles of the nanofluid.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Mathematics, Applied
Pascal Heid et al.
Summary: In this work, the theory of adaptive finite element analysis for implicitly constituted incompressible fluid flow problems is extended by considering the approximation of nonlinear finite element solutions using an iterative solver. The modified algorithm generates a computable sequence with a weak limit point that serves as a solution to the given problem. The abstract theory is applicable to Bingham fluids with and without the convective term, and the performance of the adaptive iterative linearized finite element algorithm is demonstrated through numerical experiments.
APPLIED NUMERICAL MATHEMATICS
(2022)
Article
Mathematics, Applied
A. Soltani Joujehi et al.
Summary: The fundamental purpose of this paper is to study the numerical solution of multi term time fractional nonlinear Klein-Gordon equation using regularized beta functions and fractional order Bernoulli wavelets. The exact formulas for the fractional integrals of the fractional order Bernoulli wavelets were obtained, and the operational matrices of the wavelets were calculated using the properties of the regularized beta functions. The time fractional nonlinear Klein-Gordon equation was transformed to a system of nonlinear algebraic equations using new operational matrices and appropriate collocation points, and the convergence analysis and error bound of the proposed method were performed.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Engineering, Chemical
Majid Hussain et al.
Summary: This study analyzes the chemically reacting flow over a heated porous wedge using the Eyring-Powell fluid model. The results show that the Prandtl number, Eyring-Powell parameter, stretching parameter, and Schmidt number have significant effects on velocity, temperature, and concentration.
JOURNAL OF THE TAIWAN INSTITUTE OF CHEMICAL ENGINEERS
(2022)
Article
Mathematics, Applied
Sadia Siddiqa et al.
Summary: This study investigates the behavior of conjugate natural convection over a finite vertical surface immersed in a micropolar fluid in the presence of intense thermal radiation. The results show that skin friction coefficient and couple stress coefficient reduces whereas heat transfer rate enhances when the micro-inertia parameter increases. All the physical quantities get augmented with thermal radiation.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Mathematics, Interdisciplinary Applications
Ying-Qing Song et al.
Summary: The study focuses on nanofluid flow over a vertical thin needle with gyrotactic microorganisms, considering the presence of a magnetic field in the incompressible electrically conductive liquid. The model includes the effects of thermophoresis and Brownian motion. The results show that increasing magnetic and buoyancy ratio parameters lead to a reduction in velocity gradient, while higher Biot number and radiation parameter enhance heat transfer. The density of motile microorganisms increases with Lewis number and decreases with Peclet number.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mechanics
Antony N. Beris
Summary: This review focuses on the key developments in continuum mechanics-based macroscopic modeling of complex fluid flows, with an emphasis on the pioneering work of Oldroyd in the 1950s and its impact on viscoelastic fluid flows.
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
(2021)
Article
Physics, Multidisciplinary
Nadeem Abbas et al.
Summary: The study focuses on the stagnation point flow of hybrid nanofluid with inclined magnetic field over a moving cylinder, using mathematical models and boundary layer approximations to convert systems of partial differential equations to dimensionless systems of ordinary differential equations for numerical solutions. The effects of physical parameters variation are depicted through graphs, and skin friction coefficient and Nusselt number are highlighted through tables. The main objective is to investigate the heat transfer rate on the surface of the nonlinear stretching cylinder, comparing the results of Xue model and Yamada-Ota model for the hybrid nanofluid. In both cases, velocity and temperature profiles are best compared to the decay results.
CHINESE JOURNAL OF PHYSICS
(2021)
Editorial Material
Mathematics, Applied
Dia Zeidan et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Physics, Multidisciplinary
C. A. Dartora et al.
Summary: Condensed matter is a rich field for exotic phenomena, particularly in the study of polymers which exhibit non-locality effects and memory that can be better described by fractional calculus. A model with fractional dispersion was successfully applied to explain various properties of materials, showing good agreement between theory and experimental data.
Article
Engineering, Multidisciplinary
Bushra Khatoon Siddiqui et al.
Summary: This research investigates the behavior of MHD two dimensional flow of Maxwell nanofluid with a focus on heat transfer phenomena. The analysis reveals that entropy generation increases with certain parameters during the flow.
AIN SHAMS ENGINEERING JOURNAL
(2021)
Article
Mathematics, Interdisciplinary Applications
E. Hernandez-Balaguera
Summary: This paper investigates the electrical response of an electrode-tissue-electrode system to the application of a dc current for a short time to achieve coulostatic conditions, using constant phase elements (CPEs) to model the capacitances formed by electrode-tissue interfaces and cell membranes. The study predicts the restriction of current path under certain conditions, leading to coulostatic charge injection into both types of capacitance. The influence of pulse shape on the technique, based on fractional calculus, is also explored, showing the crucial role of excitation signal shape in coulostatic relaxation processes.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Thermodynamics
K. Thriveni et al.
Summary: This study investigates the quadratic convective flow of water-based Ag-MgO hybrid nanoliquid in a high-temperature environment, and finds that factors such as quadratic convection, velocity slip, and variable viscosity positively impact the growth of momentum layer structure. It also discovered that the heat transport rate is more dominated by quadratic radiation, while the thermal layer structure is enhanced with temperature variation aspect.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2021)
Article
Thermodynamics
Ali Raza et al.
Summary: The study discusses the mixed free convection of nanofluid on a vertical plate and heat transfer in the drilling of nanofluid. By using the Atangana-Baleanu time-fractional derivative and Laplace transformation, the impact of physical properties of nanoparticles on the temperature and velocity field is investigated. The results show that the velocity profile increases with the Grashof number, and the decaying trend of temperature and momentum equations is more significant compared to the Caputo-Fabrizio fractional derivative.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Ecology
Bo Wang et al.
Summary: In this study, a new neural network-based terminal sliding mode technique is proposed for stabilizing and synchronizing fractional-order chaotic ecological systems in finite-time. The Chebyshev neural network is utilized to estimate unknown functions and adjust weights based on adaptive laws, demonstrating effective performance in terms of accuracy, robustness, and convergence time in the presence of external disturbances. Additionally, the finite-time convergence and dependency of the system on the value of fractional time derivatives are investigated, with numerical simulations confirming the validity of the proposed control scheme.
ECOLOGICAL COMPLEXITY
(2021)
Article
Mechanics
Philippe Coussot et al.
Summary: Oldroyd's 1946 formulation of the constitutive equation of yield stress fluids laid the foundation of modern rheology of yield stress fluids, by considering their simple shear behavior in the plastic regime, prescribing expressions for their behavior before and beyond yielding. Researchers have tested and refined Oldroyd's ideas, reviewed experimental methods for testing implications and determining rheological parameters. The future of investigations into what happens prior to yielding is also discussed.
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Musharafa Saleem et al.
Alexandria Engineering Journal
(2021)
Article
Engineering, Aerospace
Khilap Singh et al.
Summary: The main theme of this research is to find numerical results of stagnation point flow of micropolar fluid over a porous stretchable surface accounting for physical effects of internal heat generation/absorption, melting heat transfer and chemical reaction using Keller-Box method. The study shows that heat and mass transfer rate decreases at the fluid-solid interface with increasing stretching parameter, and also decreases with an increasing internal heat source/sink parameter.
PROPULSION AND POWER RESEARCH
(2021)
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M. Ijaz Khan et al.
COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE
(2020)
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COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE
(2020)
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CASE STUDIES IN THERMAL ENGINEERING
(2020)
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JOURNAL OF THE TAIWAN INSTITUTE OF CHEMICAL ENGINEERS
(2019)
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Chemistry, Physical
Khalil Ur Rehman et al.
JOURNAL OF MOLECULAR LIQUIDS
(2019)
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Aamir Ali et al.
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B. Kumar et al.
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
(2019)
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Multidisciplinary Sciences
Harshad R. Patel
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Amer Rasheed et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2018)
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Physics, Multidisciplinary
M. Ijaz Khan et al.
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Muhammad Ijaz Khan et al.
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
(2017)
Editorial Material
Physics, Multidisciplinary
A. M. Abd El-Lateif et al.
EUROPEAN PHYSICAL JOURNAL PLUS
(2017)
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Computer Science, Interdisciplinary Applications
Yumin Lin et al.
JOURNAL OF COMPUTATIONAL PHYSICS
(2007)