Article
Computer Science, Interdisciplinary Applications
W. F. Mansoora, G. C. Hocking, D. E. Farrowa
Summary: This paper investigates the unsteady flow generated when a line sink is located at an arbitrary location beneath the free surface of a fluid of finite depth, and the interesting new surface flows resulted from interactions and reflection. The study presents linearized and fully nonlinear solutions to identify regions of steady, unsteady, and supercritical flow.
COMPUTERS & FLUIDS
(2023)
Article
Mathematics, Interdisciplinary Applications
Muhammad Hamid, Muhammad Usman, Yaping Yan, Zhenfu Tian
Summary: The current study investigates the interrelation between fractional operators and physical structures in a model of time-dependent viscous, electric conductive fluid flow. The behavior of the modeled problem is determined using equivalent fractional partial differential equations (FPDEs) and a finite difference computational code. The results show that the velocity decreases with increasing Hartmann and Reynolds numbers, particularly for smaller choices of fractional parameters. Higher values of heat source, thermal radiation, Ecker, pressure gradient, and magnetic parameters enhance the behavior of the thermal profile. The ABC and CF fractional operators provide clearer patterns of the thermal and velocity layers compared to the CC idea of fractional derivative.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mechanics
Laurent Lacaze, Joris Bouteloup, Benjamin Fry, Edouard Izard
Summary: This study investigates the collapse of a granular column in a liquid using numerical simulations, focusing on the influence of Stokes number St and the initial volume fraction phi(i) on the dynamics of the collapse. A dedicated numerical model with a discrete element method is used to provide a comprehensive description of the granular phase in dense granular flows. The research aims to characterize the dynamics of the collapse and its final deposit in relation to (St, phi(i)), as well as to describe the granular rheology and dilatancy effects based on these two dimensionless numbers.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
A. S. Dosaev, M. I. Shishina, Yu. I. Troitskaya
Summary: This paper presents a numerical study of essentially nonlinear dynamics of surface gravity waves on deep water with constant vorticity using governing equations in conformal coordinates. The behavior of this class of solitary waves without the restrictive assumption of weak nonlinearity is investigated by using the exact Euler equations. It is shown that two-soliton collisions are almost elastic within the framework of the exact equations.
Article
Multidisciplinary Sciences
Pradeep Kumar, Basavarajappa Nagaraja, Felicita Almeida, Abbani Ramakrishnappa AjayKumar, Qasem Al-Mdallal, Fahd Jarad
Summary: This study numerically simulates the time-based unsteady flow of Casson-Williamson nanofluid over a magnetic dipole enabled curved stretching sheet, considering factors such as thermal radiation, Joule heating, an exponential heat source, homo-heterogenic reactions, slip, and melting heat peripheral conditions. The analysis shows that the thermal buoyancy component enhances the velocity regime, while the melting parameter and radiation parameter have counterintuitive effects on the thermal profile. The ferrohydrodynamic interaction parameter slows down the velocity distribution of the nanofluid flow. Graphical representations of streamlines and isotherms are provided to demonstrate the flow and heat distribution.
SCIENTIFIC REPORTS
(2023)
Article
Thermodynamics
M. Riaz Khan, Amnah S. Al-Johani, Awatif M. A. Elsiddieg, Tareq Saeed, Abd Allah A. Mousa
Summary: This article investigates the radiated stagnation point flow of a time dependent Casson fluid across a permeable stretching/shrinking surface with mass suction, magnetic field and non-uniform heat source and sink. The nonlinear PDEs are transformed into non-dimensionless ODEs and solved using the bvp4c built-in function in MATLAB. The results include temperature, skin friction, velocity and Nusselt number, and show that the friction increases with Casson parameter, suction and Hartmann number. Furthermore, the heat transfer rate decreases with Eckert number and radiation parameter, but increases with surface shrinking and suction rate.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2022)
Article
Engineering, Multidisciplinary
K. C. Shobha, G. P. Vanitha, B. Patil Mallikarjun, U. S. Mahabaleshwar, Gabriella Bognar
Summary: In this paper, the effect of an inclined magnetic field on the flow of a fluid film near an unsteady moving surface is analyzed. The time-varying stretching velocity of the moving surface is described as Uw = Ax/t. The Navier-Stokes equations governing the flow are modified into a similarity ODE and solved numerically. The results show the existence of solutions for a given range of the wall-moving variable, and the velocity plots exhibit an initial increase, reaching maximum velocity, followed by a decrease until the boundary condition. Streamlines are analyzed for different flow patterns with respect to the stretching (A > 0) and shrinking wall conditions (A < 0). The study focuses on large values of the wall motion parameter A. This research provides insights into the impact of applied inclined magnetic field on the flow of liquid film in practical applications such as in the sheet or wire coating industry, laboratories, painting, among others.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Chemistry, Analytical
Niu Feng, Xuewen Peng, Zhipan Wang, Xiaoping Yu, Xuping Shentu, Yiping Chen
Summary: Pursuing convenient operations and precise testing has become an urgent requirement in clinical diagnosis, treatment, and prognosis. This study constructed a label-free electroosmotic flow-driven microchannel (LF-EMB) biosensor based on the dual properties of highly selective antibody-antigen recognition and potential signaling of biomolecules. The LF-EMB demonstrated outstanding sensitivity and detection speed, providing a convenient option for the quantitative detection of inflammatory markers and antibiotics.
ANALYTICAL CHEMISTRY
(2022)
Article
Multidisciplinary Sciences
Muhammed Murtala Hamza, Abdulsalam Shuaibu, Ahmad Samaila Kamba
Summary: Utilizing porous media to improve convective heat transfer characteristics is of increasing importance in various applications. In this study, a numerical analysis was conducted to investigate the unsteady magnetohydrodynamic free convection flow of an exothermic fluid with Newtonian heating. The study revealed two types of solutions and employed numerical methods to solve both steady state and unsteady state governing equations. The impact of various emerging parameters on the fluid flow was discussed and validated through comparison with existing work.
SCIENTIFIC REPORTS
(2022)
Article
Thermodynamics
Nadeem Abbas, S. Nadeem, M. N. Khan
Summary: This investigation focuses on the numerical analysis of time-dependent magnetized micropolar fluid flow over a curved surface, taking into account thermal jumped and velocity slip effects. The developed mathematical model is simplified into dimensionless form and solved through numerical techniques. The results indicate an increase in the fraction between surface and fluid with increasing magnetic field, leading to reduced heat transfer rate, while increasing the values of Biot number improves heat transfer efficiency.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2022)
Article
Mathematics
Pengfei Zheng, Baolin Hou, Mingsong Zou
Summary: A new unsteady numerical model is proposed to investigate the flow field generated by magnetorheological fluid in a high-speed unsteady laminar boundary layer flow. The model considers a narrow-long gap with magnetic-field-activated and inactivated regions, where the fluid behaves as a bi-viscous and Newtonian fluid. The results show that the fluid acceleration profiles along the gap's height are non-uniform, and the volume flow rate and excitation current have a significant impact on the dynamic distribution of fluid velocity profiles. The presence of a moving boundary makes the flow field asymmetric about the central plane. Additionally, the thickness of the pre-yield region in the activated region increases as the transition stress increases, and there is a transition flow phenomenon in the activated region as the volume flow rate increases. The unsteady numerical model exhibits good stability and convergence.
Article
Mechanics
C. M. Mohana, B. Rushi Kumar
Summary: This study investigates the flow and convective heat transfer characteristics of cadmium telluride and graphite nanoparticle suspensions in water over a bidirectionally stretching sheet using the Darcy-Forchheimer model. The results show that the type, volume fraction, and shape of nanoparticles have a significant impact on the flow and heat transfer performance.
Article
Engineering, Ocean
Omer Kemal Kinaci, Alkin Erdal Demirhan, Aytekin Duranay
Summary: This study focuses on the effects of free surface on vortex-induced vibrations (VIV). Experimental results show that the free surface alters the vortex shedding frequency, reduces the amplitudes, and decreases the harnessed power.
APPLIED OCEAN RESEARCH
(2022)
Article
Engineering, Multidisciplinary
Masood Khan, Muhammad Yasir, Ali Saleh Alshomrani, Sivanandam Sivasankaran, Yaser Rajeh Aladwani, Awais Ahmed
Summary: This study focuses on the time-dependent flow of non-Newtonian fluids and investigates the thermal and solutal transport. The research reveals that the strength of homogeneous and heterogeneous reactions enhances the concentration of catalysts at the surface, and the non-uniform heat source/sink parameter plays a major role in determining the heat transportation rate.
AIN SHAMS ENGINEERING JOURNAL
(2022)
Article
Mechanics
Shubing Dai, Sheng Jin
Summary: This paper investigates the temporal and spatial evolutions of critical flow under unsteady rapidly varied flow conditions. The results suggest that unsteadiness and non-hydrostatic pressure have significant effects on critical flow, while non-uniform velocity has a weak effect. Among the three models studied, the unsteady vertically averaged non-hydrostatic Serre-Green-Naghdi Equations and the unsteady vertical velocity-resolved non-hydrostatic Reynolds-averaged Navier-Stokes Equations are both reliable modeling options.
Article
Mechanics
L. K. Forbes, T. J. Hindle
Article
Biology
Nicholas J. Beeton, Scott Carver, Lawrence K. Forbes
JOURNAL OF THEORETICAL BIOLOGY
(2019)
Article
Mathematics, Applied
Emma J. Allwright, L. K. Forbes, S. J. Walters
Article
Mathematics, Applied
S. J. Walters, L. K. Forbes
Article
Engineering, Multidisciplinary
Earl S. Lester, Lawrence K. Forbes
JOURNAL OF ENGINEERING MATHEMATICS
(2020)
Article
Mechanics
Lawrence K. Forbes, Stephen J. Walters, Duncan E. Farrow
JOURNAL OF FLUID MECHANICS
(2020)
Article
Biology
Nicholas J. Beeton, Geoffrey R. Hosack, Andrew Wilkins, Lawrence K. Forbes, Adrien Ickowicz, Keith R. Hayes
JOURNAL OF THEORETICAL BIOLOGY
(2020)
Review
Mathematics, Applied
Lawrence K. Forbes, Stephen J. Walters, Graeme C. Hocking
Summary: A classical problem in free-surface hydrodynamics involves flow in a channel with an obstacle on the bottom. Depending on the fluid speed and obstacle height, steady-state flows can take on three different configurations, with one of the best-known configurations featuring apparently uniform flow upstream of the obstacle and a semi-infinite train of downstream gravity waves. When considering time-dependent behavior, conditions upstream of the obstacle become more complex, potentially including a train of upstream-advancing solitons.
Article
Mathematics, Applied
S. Al-Ali, G. C. Hocking, D. E. Farrow, H. Zhang
Summary: In this study, a spectral method is developed to investigate the steady and unsteady flow of fluid into a line sink from a horizontally confined aquifer. The results are compared with solutions obtained using the finite element package COMSOLTM. The comparison focuses on determining the drawdown of the surface.
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
(2022)
Article
Engineering, Multidisciplinary
Shaymaa M. Shraida, Graeme C. Hocking, Lawrence K. Forbes
Summary: A spectral method is presented to study the viscous Boussinesq flow of a heavy fluid plume originating from a line source at the bottom of a channel. The results show that a small initially semi-circular bubble grows and starts to flow horizontally after reaching a certain height, considering the effects of viscosity and inertia for different Reynolds numbers, flow rates, and density differentials.
JOURNAL OF ENGINEERING MATHEMATICS
(2022)
Article
Engineering, Multidisciplinary
G. C. Hocking, K. Gujarati, L. K. Forbes
Summary: The flow of a liquid jet from an elevated, angled slot impacting a horizontal wall is studied. A minimum flow rate is found for steady solutions to exist, with the formation of a stagnation point at the upper exit from the slot being a key factor. The proportion of outflow to the left and right along the horizontal surface at different flow rates and angles is also computed.
JOURNAL OF ENGINEERING MATHEMATICS
(2022)
Article
Engineering, Multidisciplinary
Wafaa F. Mansoor, Graeme C. Hocking, Duncan E. Farrow
Summary: This study investigates the flow caused by a line sink near a vertical wall in a stagnant fluid with a free surface. Linear and numerical solutions are obtained, showing that steady nonlinear solutions are limited to flow rates below a critical value. Interesting surface shapes are obtained depending on the location of the sink.
JOURNAL OF ENGINEERING MATHEMATICS
(2022)
Article
Engineering, Multidisciplinary
Wafaa F. Mansoor, Graeme C. Hocking, Duncan E. Farrow
Summary: This study investigates the two-dimensional, steady flow induced by a line sink close to a vertical wall in an inviscid fluid. The effects of surface tension on the flow are examined. The results reveal that the number of stagnation points on the free surface depends on the horizontal location of the sink, and the horizontal movement of the sink also affects the flow characteristics.
JOURNAL OF ENGINEERING MATHEMATICS
(2022)
Article
Engineering, Multidisciplinary
J. Jose, G. C. Hocking, D. E. Farrow
Summary: The study focuses on axisymmetric flow towards a point sink from a stratified fluid in a vertically confined aquifer. Two methods, series method and finite difference method, are presented to solve the equations of flow for the linear density gradient case. Comparison shows the accuracy of the finite difference method, allowing for consideration of more complex nonlinear density stratifications.
JOURNAL OF ENGINEERING MATHEMATICS
(2022)
Article
Mathematics, Applied
W. F. Mansoor, G. C. Hocking, D. E. Farrow
Summary: This study discusses two simple mathematical models of hydrogen advection and diffusion within the retina. The results show that the simpler model captures the main characteristics of hydrogen dispersal in the retina.
Article
Computer Science, Interdisciplinary Applications
Jin Bao, Zhaoli Guo
Summary: At the equilibrium state of a two-phase fluid system, the chemical potential is constant and the velocity is zero. However, it is challenging to capture this equilibrium state accurately in numerical simulations, resulting in inconsistent thermodynamic interfacial properties and spurious velocities. Therefore, numerical schemes with well-balanced properties are preferred for simulating two-phase flows.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Brian C. Vermeire
Summary: This study presents a framework for implicit large eddy simulation (ILES) of incompressible flows by combining the entropically damped artificial compressibility (EDAC) method with the flux reconstruction (FR) approach. Experimental results demonstrate that the method is accurate and stable for low-order solutions, while higher-order solutions exhibit significantly higher accuracy and lower divergence error compared to reference direct numerical simulation.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Mijian Li, Rui Wang, Xinyu Guo, Xinyu Liu, Lianzhou Wang
Summary: In this study, the flow mechanisms around wall-mounted structures were investigated using Large Eddy Simulation (LES). The impact of inflow turbulence on the flow physics, dynamic response, and hydrodynamic performance was explored. The results revealed strong interference between velocity fluctuations and the wake past the cylinder, as well as significant convection effects in the far wake region.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Donatella Passiatore, Luca Sciacovelli, Paola Cinnella, Giuseppe Pascazio
Summary: A high-order shock-capturing central finite-difference scheme is evaluated for numerical simulations of hyper-sonic high-enthalpy flows out of thermochemical equilibrium. The scheme utilizes a tenth-order accurate central-difference approximation of inviscid fluxes, along with high-order artificial dissipation and shock-capturing terms. The proposed approach demonstrates accuracy and robustness for a variety of thermochemical non-equilibrium configurations.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Philipp Bahavar, Claus Wagner
Summary: Condensation is an important aspect in flow applications, and simulating the gas phase and tracking the deposition rates of condensate droplets can capture the effects of surface droplets on the flow while reducing computational costs.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Andras Szabo, Gyorgy Paal
Summary: This paper introduces an efficient calculation method, the parabolized stability equations (PSE), for solving stability equations. By calculating LU factorization once in each marching step, the time spent on solving linear systems of equations can be significantly reduced. Numerical experiments demonstrate the effectiveness of this method in reducing the solution time for linear equations, and its applicability to similar problems.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
A. Khalifa, M. Breuer
Summary: This study evaluates a recently developed data-driven model for collision-induced agglomerate breakup in high mass loading flows. The model uses artificial neural networks to predict the post-collision behavior of agglomerates, reducing computational costs compared to coupled CFD-DEM simulations.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Chunmei Du, Maojun Li
Summary: This paper considers the bilayer shallow water wave equations in one-dimensional space and presents an invariant domain preserving DG method to avoid Kelvin-Helmholtz instability.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jean-Michel Tucny, Mihir Durve, Andrea Montessori, Sauro Succi
Summary: The prediction of non-equilibrium transport phenomena in disordered media is a challenging problem for conventional numerical methods. Physics-informed neural networks (PINNs) show potential for solving this inverse problem. In this study, PINNs were used to successfully predict the velocity field of rarefied gas flow, and AdamW was found to be the best optimizer.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Min Gao, Pascal Mossier, Claus-Dieter Munz
Summary: In recent decades, the arbitrary Lagrangian-Eulerian (ALE) approach has gained popularity in dealing with fluid flows with moving boundaries. This paper presents a novel algorithm that combines the ALE finite volume (FV) and ALE discontinuous Galerkin (DG) methods into a stable and efficient hybrid approach. The main challenge of this mixed ALE FV and ALE DG method is reducing the inconsistency between the two discretizations. The proposed algorithm is implemented into a loosely-coupled fluid-structure interaction (FSI) framework and is demonstrated through various benchmark test cases and complex scenarios.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Dawid Strzelczyk, Maciej Matyka
Summary: In this study, the numerical convergence of the Meshless Lattice Boltzmann Method (MLBM) is investigated through three benchmark tests. The results are compared to the standard Lattice Boltzmann Method (LBM) and the analytical solution of the Navier-Stokes equation. It is found that MLBM outperforms LBM in terms of error value for the same number of nodes discretizing the domain.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Kanishka Bhattacharya, Tapan Jana, Amit Shaw, L. S. Ramachandra, Vishal Mehra
Summary: In this work, an adaptive algorithm is developed to address the issue of tensile instability in Smoothed Particle Hydrodynamics (SPH) by adjusting the shape of the kernel function to satisfy stability conditions. The effectiveness of the algorithm is demonstrated through dispersion analysis and fluid dynamics simulations.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Luis Laguarda, Stefan Hickel
Summary: We propose several enhancements to improve the accuracy and performance of the digital filter turbulent inflow generation technique, such as introducing a more realistic correlation function and varying target length scales. Additionally, we suggest generating inflow data in parallel at a prescribed time interval to improve computational performance. Based on the results of large-eddy simulations, these enhancements have shown to be beneficial. Suppressing streamwise velocity fluctuations at the inflow leads to the fastest relaxation of pressure fluctuations. However, this approach increases the adaptation length, which can be shortened by artificially increasing the wall-normal Reynolds stresses.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Constantin Zenz, Michele Buttazzoni, Tobias Florian, Katherine Elizabeth Crespo Armijos, Rodrigo Gomez Vazquez, Gerhard Liedl, Andreas Otto
Summary: A new model for compressible multiphase flows involving sharp interfaces and phase change is presented, with a focus on the treatment of compressibility and phase change in the multiphase fluid flow model. The model's accuracy and suitability are demonstrated through comparisons with experimental observations.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Joseph O'Connor, Sylvain Laizet, Andrew Wynn, Wouter Edeling, Peter V. Coveney
Summary: This article aims to apply uncertainty quantification and sensitivity analysis to the direct numerical simulation (DNS) of low Reynolds number wall-bounded turbulent channel flow. By using a highly scalable DNS framework and UQ techniques, the study evaluates the influence of different numerical parameters on the simulation results without explicitly modifying the code. The findings provide guidance for numerical simulations of wall-bounded turbulent flows.
COMPUTERS & FLUIDS
(2024)
