AI summary · arXiv: 2303.04703v1 · physics.flu-dyn
Asymptotically-consistent analytical solutions for the non-Newtonian Sakiadis boundary layer
The essentials
- The Sakiadis boundary layer induced by a moving wall in a semi-infinite fluid domain is important for high-speed coating processes.
- The authors provide an analytical solution to the boundary layer problem for Ostwald-de Waele power law fluids using a power series expansion.
- A solution only exists in the range of power law exponents $\alpha$ lying in the range $0.5 < \alpha \leq 1$.
- An exact analytical solution is obtained for $0.74 \leq \alpha < 1$, and an approximate analytical solution is obtained for $0.5 < \alpha<0.74$ using the method of asymptotic approximants.
- Solutions are sensitive to domain length, and this sensitivity increases as $\alpha$ decreases.
- Power series solutions are independent of domain length and can be used to calculate physical constants such as κ and C algorithmically.
- This study contributes significantly to our understanding of laminar flow fields relevant to high-speed coating processes.
Key points written by AI: they may contain errors, check them against the paper.
Ask questions about this paper to our AI assistant
How to chat with this paper? Illustrated guide
You can also chat with multiple papers at once here.
Keep this conversation — a free account saves your questions and answers, your collections of papers and your alerts.
Create a free accountTools for this paper
Advanced tools Premium
For researchers who follow a field closely: citation alerts, journal-club slides, version comparison and Zotero export. Discover Premium
Papers around this one
See them on a mapRanked by how close their title and abstract are to this paper’s. Select some to read them together.
Closest papers
-
Simulating fluid-fluid displacement in a soft capillary tube: How compliance delays interfacial instability and bubble pinch-offSthavishtha R. Bhopalam, Ruben Juanes, Hector Gomez · 2025 · Fluid Dynamics · AI summary available
Abstract
The displacement of a more viscous fluid by a less viscous immiscible fluid in confined geometries is a fundamental problem in multiphase flows. Recent experiments have shown that such fluid-fluid displacement in micro-capillary tubes can lead to interfacial instabilities and, eventually, bubble pinch-off. A critical yet often overlooked aspect of this system is the effect of the tube's deformability on the onset of interfacial instability and bubble pinch-off. Here, we present a computational fluid-structure interaction model and an algorithm to simulate this fluid-fluid displacement problem in a soft capillary tube. We use a phase-field model for the fluids and a nonlinear hyperelastic mod…
-
Low Mach number lattice Boltzmann model for turbulent combustion: flow in confined geometriesS. A. Hosseini, N. Darabiha, D. Thevenin · 2022 · Fluid Dynamics · AI summary available
Abstract
A hybrid lattice Boltzmann/finite-difference solver for low Mach thermo-compressible flows developed in earlier works is extended to more realistic and challenging configurations involving turbulence and complex geometries in the present article. The major novelty here as compared to previous contributions is the application of a more robust collision operator, considerably extending the stability of the original single relaxation time model and facilitating larger Reynolds number flow simulations. Additionally, a subgrid model and the thickened flame approach have also been added allowing for efficient large eddy simulations of turbulent reactive flows in complex geometries. This robust sol…
-
Unsteady Aerodynamics and Vortex-sheet Formation of A Two-dimensional AirfoilXi Xia, Kamran Mohseni · 2016 · Fluid Dynamics · AI summary available
Abstract
Unsteady inviscid flow models of wings and airfoils have been developed to study the aerodynamics of natural and man-made flyers. Vortex methods have been extensively applied to reduce the dimensionality of these aerodynamic models, based on the proper estimation of the strength and distribution of the vortices in the wake. In such modeling approaches, one of the most fundamental questions is how the vortex sheets are generated and released from sharp edges. To determine the formation of the trailing-edge vortex sheet, the classical Kutta condition can be extended to unsteady situations by realizing that a flow cannot turn abruptly around a sharp edge. This condition can be readily applied t…
-
Delay differential equation models for single and coupled bubble dynamics in a compressible liquidDerek C. Thomas, Yurii A. Ilinskii, Mark F. Hamilton · 2013 · Fluid Dynamics · AI summary available
Abstract
Various models for interacting spherical bubbles in a compressible liquid based on delay differential equations are considered. It is shown that most previously proposed models for interacting spherical bubbles in a compressible liquid based on the Keller-Miksis and Gilmore-Akulichev models are unstable for closely spaced bubbles. A new model for a single spherical bubble in a compressible liquid is proposed and used to derive a stable model for interacting bubbles. A qualitative comparison to the results of direct numerical integration of the fluid equations of motion suggests that the new model provides more accurate results than the standard Keller-Miksis or Gilmore-Akulichev models for s…
-
Wall Modeling of Turbulent Flows with Various Pressure Gradients Using Multi-Agent Reinforcement LearningDi Zhou, H. Jane Bae · 2023 · Fluid Dynamics · AI summary available
Abstract
We propose a framework for developing wall models for large-eddy simulation that is able to capture pressure-gradient effects using multi-agent reinforcement learning. Within this framework, the distributed reinforcement learning agents receive off-wall environmental states including pressure gradient and turbulence strain rate, ensuring adaptability to a wide range of flows characterized by pressure-gradient effects and separations. Based on these states, the agents determine an action to adjust the wall eddy viscosity, and consequently the wall-shear stress. The model training is in-situ with wall-modeled large-eddy simulation grid resolutions and does not rely on the instantaneous velocit…
-
Laminar vortex dynamics around forward-swept wingsKai Zhang, Kunihiko Taira · 2021 · Fluid Dynamics · AI summary available
Abstract
Forward-swept wings offer unique advantages in the aerodynamic performance of air vehicles. However, the low-Reynolds-number characteristics of such wings have not been explored in the past. In this work, we numerically study laminar separated flows over forward-swept wings with semi aspect ratios $sAR=0.5$ to 2 at a chord-based Reynolds number of 400. Forward-swept wings generate wakes that are significantly different from those of backward-swept wings. For low-aspect-ratio forward wings, the wakes remain steady due to the strong downwash effects induced by the tip vortices. For larger aspect ratio, the downwash effects weaken over the inboard regions of the wing, allowing unsteady vortex s…
-
Fluid Intelligence: A Forward Look on AI Foundation Models in Computational Fluid DynamicsNeil Ashton, Johannes Brandstetter, Siddhartha Mishra · 2025 · Fluid Dynamics · AI summary available
Abstract
Driven by the advancement of GPUs and AI, the field of Computational Fluid Dynamics (CFD) is undergoing significant transformations. This paper bridges the gap between the machine learning and CFD communities by deconstructing industrial-scale CFD simulations into their core components. Our main contribution is to propose the first scaling law that incorporates CFD inputs for both data generation and model training to outline the unique challenges of developing and deploying these next-generation AI models for complex fluid dynamics problems. Using our new scaling law, we establish quantitative estimates for the large-scale limit, distinguishing between regimes where the cost of data generat…
-
Data-Driven Low-Dimensional Modeling and Uncertainty Quantification for Airfoil IcingAnthony M. DeGennaro, Clarence W. Rowley, Luigi Martinelli · 2015 · Fluid Dynamics · AI summary available
Abstract
The formation and accretion of ice on the leading edge of an airfoil can be detrimental to aerodynamic performance. Furthermore, the geometric shape of leading edge ice profiles can vary significantly depending on a wide range of physical parameters, which can translate into a wide variability in aerodynamic performance. The purpose of this work is to explore the variability in airfoil aerodynamic performance that results from variability in leading edge ice shape profile. First, we demonstrate how to identify a low-dimensional set of parameters that governs ice shape from a database of ice shapes using Proper Orthogonal Decomposition (POD). Then, we investigate the effects of uncertainty in…
Go further
How are these papers found?
We compare the title and abstract of this paper with those of every paper summarized on this site, and with the papers Semantic Scholar recommends, those it cites and those citing it (for a much-cited paper, its most recent citations and, from OpenAlex, the most cited ones). Among the prior work and the follow-ups, the papers that use each other in depth, a method it uses and the much-cited follow-ups come a little higher. The levels (very close, close, related) come from the similarity of the texts, not from a judgment of quality; * marks a paper without an abstract, compared by its title. The sentence under a paper is written by an AI from the two abstracts: check it in the papers. A paper marked not relevant by three readers leaves the list.
For now only among the papers summarized on this site: search again to add the prior work, the follow-ups and Semantic Scholar’s recommendations.
The previous summary was created more than a year ago and can be re-run (if necessary) by clicking on the Run button below.
Disclaimer: The AI-based summarization tool and virtual assistant provided on this website may not always provide accurate and complete summaries or responses. We encourage you to carefully review and evaluate the generated content to ensure its quality and relevance to your needs.