Article
Chemistry, Physical
M. Irfan
Summary: This study examines the rheological aspects of nanofluids and their potential applications in sustainable energy strategies. Through simulation analysis, it is found that nanofluids have exaggerated heat transport capacity and can serve as possible alternatives to conventional fluids. The research results indicate that the heat transfer performance of nanofluids varies under different variable conditions.
SURFACES AND INTERFACES
(2021)
Article
Thermodynamics
Amjid Rashid, Muhammad Ayaz, Saeed Islam
Summary: This study investigates the influence of nanoparticle suspension on the fluid characteristics, specifically the heat transfer mechanism in nanofluids. The effects of mixed convection MHD and Joule heating on the flow of hybrid nanofluid and pure nanofluid in porous media are examined under radiation. The findings show that the heat transmission rate increases with an increase in mixed convection parameter, while it decreases with an increase in radiation and magnetic parameters.
ADVANCES IN MECHANICAL ENGINEERING
(2023)
Article
Mathematics, Applied
Mary Chriselda Antony Oliver, Maria Gonzalez
Summary: This paper considers a stationary convection-diffusion-reaction model problem in a two- or three-dimensional bounded domain. The model is approximated by a non-stationary problem and a numerical method that combines the method of characteristics with an augmented mixed finite element procedure is proposed. The performance of the adaptive algorithm is demonstrated through numerical experiments.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2023)
Article
Engineering, Multidisciplinary
Rumman Hossain, A. K. Azad, Md Jahid Hasan, M. M. Rahman
Summary: This study conducted a numerical analysis of thermal radiation in a square enclosure with a semicircular heater and a sliding lid. The results showed that increasing radiation intensity and dimensionless time improves fluid velocity, pressure gradient, and temperature gradient, but decreases the heat transfer rate of the semicircular heater.
ALEXANDRIA ENGINEERING JOURNAL
(2022)
Article
Thermodynamics
S. Saqib Shah, Rizwan Ul Haq, Wael Al-Kouz
Summary: This study explores the thermal performance of nanofluid enclosed by a split lid-driven trapezoidal cavity with an elliptic shaped obstacle. Various parameters such as Richardson number, Lewis number, Reynolds number, and buoyancy ratio are analyzed for their effects on velocity, temperature, and concentration profiles. The findings indicate that Lewis number has a significant impact on isotherms and concentration, while smaller buoyancy ratios result in maximum heat transfer near the lid walls.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2021)
Article
Mathematics, Applied
Maria Gonzalez, Magdalena Strugaru
Summary: This study introduces a new augmented dual-mixed finite element method for solving the linear convection-diffusion equation with mixed boundary conditions. The research proves that the new variational formulation and the corresponding Galerkin scheme are well-posed with appropriate parameter settings, and a Cea estimate can be derived. Additionally, convergence rates for approximating flux and concentration are established using different methods.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Article
Computer Science, Software Engineering
Fabian Gnegel, Armin Fuegenschuh, Michael Hagel, Sven Leyffer, Marcus Stiemer
Summary: This paper presents a general numerical solution method for control problems with state variables defined by a linear PDE and binary or continuous control variables. The proposed techniques effectively mitigate the increase in computation time with increasing discretization level and significantly reduce solution time in computational experiments.
MATHEMATICAL PROGRAMMING
(2021)
Article
Thermodynamics
Prabhakar Reddy, O. D. Makinde, Alfred Hugo
Summary: A finite element computational study is conducted to evaluate the impacts of diffusion-thermo and rotation on time-dependent heat generated MHD chemically reactive mixed-convection Casson fluid transport. The results show that the velocity components decrease with increasing magnetic field, rotation, and Casson parameters, while the opposite result is observed with increasing heat generation and Hall parameter. The thickness of thermal and momentum boundary layers increases with thermal radiation, and decreases with increasing chemical reaction parameter.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2022)
Article
Engineering, Multidisciplinary
Amir Abbas, Muhammad Ashraf, Ali Jawad Chamkha
Summary: This study investigates the combined effects of thermophoretic motion and thermal radiation on mixed convection flow of optically dense grey fluid, demonstrating the impacts of various parameters on velocity field, temperature distribution, and mass concentration through numerical simulations.
ALEXANDRIA ENGINEERING JOURNAL
(2021)
Article
Engineering, Multidisciplinary
Mengqing Jin, Xinlong Feng, Kun Wang
Summary: This article introduces a gradient recovery-based adaptive stabilized mixed finite element method for solving the convection-diffusion-reaction equation on surfaces. The method stabilizes the weak formulation, obtains accurate numerical solutions, and studies the impact of curvature.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Thermodynamics
M. Anil Kumar, Y. Dharmendar Reddy, V. Srinivasa Rao, B. Shankar Goud
Summary: A numerical model was used to investigate the flow and heat transfer of nanofluids from an infinite vertical plate in the presence of a magnetic field, thermal radiation, and viscous dissipation. The results showed that velocity and temperature distributions enhance with increasing radiation parameter value. These simulations are relevant for the processing of magnetic nanomaterials in the chemical industry and metallurgy sector.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Albert Puigferrat, Miguel Maso, Ignasi De-Pouplana, Guillermo Casas, Eugenio Onate
Summary: A numerical method combining Lagrangian and Eulerian approaches is proposed to solve advective-diffusive-absorptive problems, showing effectiveness through validation with various test cases.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Chemistry, Physical
B. Shankar Goud, Yanala Dharmendar Reddy, Nawal A. Alshehri, Wasim Jamshed, Rabia Safdar, Mohamed R. Eid, Mohamed Lamjed Bouazizi
Summary: The purpose of this article is to investigate the mass and heat transport phenomena associated with micropolar fluid flow created by a vertically stretched Riga surface. The numerical calculations fit well with the results of earlier published investigations. Due to the participation of the Riga plate, the updated Hartmann number has a considerable effect on flow profiles.
Article
Mathematics, Applied
Francesco Dell'Accio, Filomena Di Tommaso, Allal Guessab, Federico Nudo
Summary: This study proposes a method of enriching the standard simplicial linear finite element by non-polynomial functions, and provides necessary and sufficient conditions for the existence of enriched element families. It is also shown that the enriched basis functions can be represented in a closed form using enrichment functions and functionals. Finally, numerical tests are conducted. This approach can address the under-performance of low-order elements in nearly incompressible materials.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Physics, Multidisciplinary
Tanveer Sajid, Wasim Jamshed, Faisal Shahzad, Mohamed R. Eid, Hashim M. Alshehri, Marjan Goodarzi, Esra Karatas Akgul, Kottakkaran Sooppy Nisar
Summary: This article investigates the flow of an incompressible micropolar Prandtl fluid over a porous stretching sheet, incorporating effects such as exponential temperature-dependent heat source, higher-order chemical reaction viscous dissipation, nonlinear thermal radiation, and multiple convective surface boundary conditions. The nonlinear partial differential equations (PDEs) for momentum, energy, micro-rotation, and concentration are converted into ordinary differential equations (ODEs) and solved using the nonlinear shooting method. Increasing the microrotation parameter enhances the angular velocity profile, higher order of reactivity increases the heat transmission rate, while mass convection enhances the concentration size, demonstrating potential applications in clean engine lubricants and coolant industrial liquids under the same constraints.
Article
Computer Science, Interdisciplinary Applications
Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh
Summary: This work presents an unconditionally stable third-order multistep technique for time-dependent partial differential equations. The technique's stability is proved using von Neumann stability analysis, and a Matlab code is provided to support the existence of this scheme. It uses three consecutive time levels and a compact fourth-order scheme for spatial discretization. The convergence conditions are found for parabolic equations and it is tested on flow between parallel plates. The proposed scheme is compared with an existing one and shown to have faster convergence and the ability to provide a compact fourth-order solution.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(2023)
Article
Physics, Multidisciplinary
Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh, Muavia Mansoor
Summary: This contribution presents two third-order numerical schemes for solving time-dependent linear and non-linear partial differential equations (PDEs). A compact fourth-order scheme is proposed for spatial discretization. The stability and convergence of the scheme are analyzed for scalar PDEs and a system of parabolic equations, respectively. The proposed scheme is applied to linear scalar PDEs and non-linear systems of time-dependent PDEs, specifically the heat and mass transfer of MHD mixed convective Casson nanofluid flow. The scheme shows improved convergence compared to the existing Crank-Nicolson scheme.
FRONTIERS IN PHYSICS
(2023)
Article
Mathematics, Applied
Mairaj Bibi, Sajid Ali, Muhammad Shoaib Arif, Kamaleldin Abodayeh
Summary: In [1], Bibi and Edjvet demonstrated that any equation with a length of at most seven over torsion-free group can be solved. This supports Levin's [2] assertion that any equation over a torsion-free group is solvable. This article demonstrates that a singular equation of length eight over torsion-free groups is solvable.
Article
Mathematics, Applied
Muhammad Shoaib Arif, Kamaleldin Abodayeh, Asad Ejaz
Summary: The cardinal element of ecology is the predator-prey relationship, and the population of interacting organisms is influenced by various factors, including food, water, space, and protection. Food is a key factor that shapes the habitat structure. This study focuses on a predator and two types of prey, where one prey species shares the same food resource as the predator, while the other prey species relies on a different food resource.
Article
Energy & Fuels
Muhammad Shoaib Arif, Kamaleldin Abodayeh, Yasir Nawaz
Summary: This article discusses the application of stochastic simulations in computational fluid dynamics and provides examples of incompressible flows and numerical solutions to validate stochastic modeling methods. A numerical scheme is developed for solving stochastic parabolic equations, which is second-order accurate in time for the Wiener process term. The scheme is applied to a heat and mass transfer model of non-Newtonian nanofluid flow over oscillatory sheets, and the results show the influences of different parameters on velocities, temperatures, and concentrations.
Article
Engineering, Mechanical
Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh
Summary: This paper proposes a third-order numerical scheme for solving time-dependent partial differential equations (PDEs). The new scheme is obtained by modifying the third-order scheme to have second-order accuracy in time and unconditional stability. The compact fourth-order accurate scheme is adopted for spatial discretization. The proposed scheme is compared with existing schemes and shown to have faster convergence and better order of convergence.
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
(2023)
Article
Multidisciplinary Sciences
Hasanen A. Hammad, Kamaleldin Abodayeh, Wasfi Shatanawi
Summary: In this paper, the authors introduce a new class of mappings called generalized beta-phi-Geraghty contraction-type mappings and utilize them to prove the existence of coupled fixed points in partially ordered metric spaces. The results of this study generalize and unite several known findings in the literature. In addition, the authors provide examples to illustrate the theoretical results and apply them to discuss the existence and uniqueness of a solution to a coupled ordinary differential equation.
Article
Engineering, Multidisciplinary
Nadeem Abbas, Wasfi Shatanawi, Kamaleldin Abodayeh, Taqi A. M. Shatnawi
Summary: This study considers the unsteady incompressible Sutterby fluid model and compares the results of stretching cylinder and sheet. The induced magnetic field is taken into account along with thermal slip. Darcy resistance and viscous dissipation effects are studied. The variable thermal conductivity of the liquid under thermal radiation is considered. The governing model is developed under boundary layer approximation and transformed into dimensionless form for numerical solution. Physical influence factors are presented graphically and in tabular form. The fluid temperature increases with larger values of variable thermal conductivity and Eckert number.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Mathematics, Applied
Muhammad Shoaib Arif, Kamaleldin Abodayeh, Yasir Nawaz
Summary: The main aim of this contribution is to develop a numerical scheme for solving stochastic time-dependent partial differential equations (PDEs) that provides positive solutions and surpasses the accuracy of existing methods. The proposed scheme is theoretically proven to be more accurate, stable, and consistent than the current stochastic non-standard finite difference (NSFD) method. It is successfully applied to both linear and nonlinear models, demonstrating the deficiencies of the NSFD method in terms of accuracy. Understanding the inter-diffusion between chemical concentrations is crucial in many observable occurrences in the physical world.
Article
Mathematics, Applied
Aiman Mukheimer, Saleem Ullah, Muhammad Bux, Muhammad Shoaib Arif, Kamaleldin Abodayeh
Summary: Variational inequalities have been generalized and expanded in various ways, and the principle has become a remarkable study area combining pure and applied research. Fixed-point theory provides an important framework for studying variational inequalities in mathematics. A useful generalization of classical variational inequality is the mixed variational inequality, which cannot be solved using the projection method due to the involvement of the nonlinear term. This paper proposes a new self-adaptive method using step size to modify the fixed-point formulation for solving the mixed variational inequality, and proves the convergence of the proposed scheme. The results obtained refine the previously known results for the mixed variational inequality, and a numerical example is provided for implementation.
Article
Mathematics, Applied
Muhammad Shoaib Arif, Kamaleldin Abodayeh, Yasir Nawaz
Summary: Neural network techniques are increasingly popular among engineering and technical research groups for boosting productivity, commercial strategies, and social advancement. This work proposes a numerical scheme with third-order accuracy to solve linear and non-linear ordinary differential equations (ODEs). The scheme is explicit and correct to the third order, providing greater accuracy than most existing examples in the literature. Additionally, the efficacy of artificial neural networks in forecasting and optimizing complex systems is demonstrated through a mathematical model and validation analysis.
Article
Engineering, Chemical
Amani S. Baazeem, Muhammad Shoaib Arif, Kamaleldin Abodayeh
Summary: In this paper, an explicit numerical scheme is provided for solving linear and nonlinear differential equations, with guaranteed second order accuracy, consistency, and stability. The effect of including an induced magnetic field in electrical boundary layer nanofluid flow is investigated using artificial neural networks. Results demonstrate the ability of artificial neural networks to make precise forecasts and optimizations. The suggested computational scheme shows promise in optimizing fluid flow in an electrical boundary layer subjected to an induced magnetic field.
Article
Mathematics
Amani S. Baazeem, Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh
Summary: Understanding the dynamics of infectious diseases and halting their spread has been a major focus of mathematical modelling and epidemiology. The stochastic SIRS reaction-diffusion model is a crucial computational scheme for studying the spread and evolution of infectious diseases in populations with different immunity levels. A stochastic explicit finite difference scheme is proposed for solving stochastic partial differential equations, and its stability and consistency are provided. The proposed scheme has broad applications in epidemiology and can provide insights into disease dynamics, control tactics, and the influence of immunity.
Article
Thermodynamics
Nadeem Abbas, Mohsin Ali, Kamaleldin Abodayeh, Zead Mustafa, Wasfi Shatanawi
Summary: In this analysis, we studied the steady flow of Jeffrey's fluid over an exponential stretching Riga curved surface, taking into account the effects of Soret and Dufour. By solving the dimensionless system of differential equations, we obtained the impacts of governing physical parameters on the system, such as the change in velocity curves and momentum thickness.
CASE STUDIES IN THERMAL ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Muhammad Shoaib Arif, Kamaleldin Abodayeh, Asad Ejaz
Summary: This article discusses the global situation of COVID-19 and its variant omicron, emphasizing the importance of controlling population mobility to prevent further spread. It also presents the equilibrium points and stability of the infectious models, along with numerical simulations using finite difference schemes.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2023)
