Article
Mechanics
Subhashis Patari, Imdad Uddin Chowdhury, Jitendra Kumar, Pallab Sinha Mahapatra
Summary: In recent decades, there has been an increasing use of paper-based microfluidic devices, leading to a focus on liquid flow through paper substrates. To predict this flow, an analytical and numerical model was constructed, considering various factors. The developed models were validated through experiments, showing good agreement.
Article
Chemistry, Multidisciplinary
Subhashis Patari, Pallab Sinha Mahapatra
Summary: The spreading of liquid on porous surfaces involves complex physics, including the evaporation of the liquid and swelling of the fibers. This study compared experimental results to existing analytical models and found inaccuracies in the predictions. New analytical models were developed by modifying existing models to accurately predict the capillary rise of liquid in a paper substrate, considering multiple effects simultaneously for the first time. The modified models were found to predict the experimental results more accurately than the existing models.
Article
Nanoscience & Nanotechnology
Lebin Nie, Wai Kit Ng, ZhiFu Liang, Xingang Ren, Tingbin Yang, Guanding Mei, Chi Wah Leung, Kam Sing Wong, Wallace C. H. Choy
Summary: The upside-down molding method used to fabricate photonic resonators on perovskites allows for some degree of control over pattern geometry, reveals the impact of capillary force during imprinting, and enables control over waveguide layer thickness through inversion of the perovskite membranes.
ACS APPLIED MATERIALS & INTERFACES
(2021)
Article
Mechanics
Feifei Qin, Linlin Fei, Jianlin Zhao, Qinjun Kang, Dominique Derome, Jan Carmeliet
Summary: A 2-D double-distribution lattice Boltzmann method (LBM) is implemented to study the isothermal drying process of a colloidal suspension considering the local effects of nanoparticles. The model is validated by comparing with experimental results for drying of suspended colloidal droplet and a colloidal suspension in a capillary tube. The influence of three local nanoparticle effects on drying dynamics, deposition process and final configurations is analyzed, and a unified relation is proposed and verified.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
Marie Corpart, Frederic Restagno, Francois Boulogne
Summary: The origin of the difference between the deposition of suspended particles in a sessile droplet and in an axisymmetric droplet deposited on a fiber is analyzed. The shape of the droplet on a fiber and its evaporative flux are modeled to derive analytical calculations. The hydrodynamics equations in the liquid phase are solved under the lubrication approximation to determine the flow velocity toward the contact lines. The substrate curvature plays a role in contact line depinning, local evaporative flux, and liquid flow field.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Environmental Sciences
Sahar Jannesarahmadi, Milad Aminzadeh, Roberto Raga, Nima Shokri
Summary: Microplastics have an impact on soil water evaporation dynamics and patterns, with the addition of microplastics leading to increased evaporation rates. The type of microplastics used also affects drying-induced cracking patterns.
Article
Mechanics
Linlin Fei, Feifei Qin, Jianlin Zhao, Dominique Derome, Jan Carmeliet
Summary: A mesoscopic lattice Boltzmann model is used to simulate isothermal two-component evaporation in porous media. The model incorporates a pseudopotential multiphase model with two components, and employs a cascaded collision operator for improved numerical performance. The model is validated through theoretical analysis and microfluidic experiments. The effects of inflow vapour concentration and contact angle on the evaporation process are investigated, and a scaling formulation for the evaporation rate is proposed.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
Si Suo, Yixiang Gan
Summary: In this study, a possible adjustment in pore geometry was reported to suppress capillary fingering and transition displacement patterns from fingering to compact mode in porous media with hierarchical structures. The results demonstrate that a higher porosity of the second-order porous structure can maintain compact displacement across a wider range of wettability conditions. This work provides insights into fluid-fluid displacement control in hierarchical porous media and can benefit the design of microfluidic devices for better fluid displacement efficiency at the field scale.
Article
Thermodynamics
B. Baradaran Kazemian, Q. Guo, P. Cheng
Summary: In this paper, simultaneous heat and mass transport in porous media is numerically studied using a 2D multicomponent/multiphase phase-change lattice Boltzmann scheme. The evaporation in packed hydrophilic beds is found to play an important role in capillary rise of liquid, and the effects of contact angles and packed bed structures on liquid absorption are investigated. The directional and heterogeneous packed beds are shown to absorb more liquid in a shorter time compared to homogeneous packed beds under the same conditions.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2021)
Article
Multidisciplinary Sciences
Chuanxi Wang, Yashar Mehmani, Ke Xu
Summary: A conceptual model of bubble's capillary equilibrium in porous media is proposed, analyzing the multistability and hysteretic behaviors induced by multiple state variables. The relationship between free energy and bubble volume provides an explanation for the thermodynamic stability of bubbles within porous media, despite their large specific area. This research offers insight into dispersed fluids in porous media relevant for CO2 sequestration, petroleum recovery, and fuel cells.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2021)
Article
Thermodynamics
Yuki Kameya, Yuya Takahashi, Massoud Kaviany
Summary: New, high-performance porous metasurfaces are designed, fabricated, and tested in this study for open-system water-vapor production. The wicks, optimized for higher performance, were partially submerged in a water pool and heated through a copper substrate. With a novel wick structure, an evaporation efficiency of unity and a 50% increase in evaporation were achieved.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2023)
Article
Physics, Multidisciplinary
Michael Jung, Pegah Shakeri, Ralf Seemann
Summary: Adding high molecular weight polymers to the invading phase can improve the displacement efficiency of capillary entrapments in porous media, which has applications in enhanced oil recovery and soil remediation. The flow behavior of viscoelastic polymer solutions, characterized by increased viscosity contrast and unstable flow, can lead to an additional displacement mechanism. A microfluidic approach is employed to study the underlying physics and mechanism of this enhanced displacement, revealing the role of viscoelastic fluid features and flow geometry in overcoming the capillary threshold and displacing the capillary entrapments.
FRONTIERS IN PHYSICS
(2023)
Article
Thermodynamics
Rishav Roy, Justin A. Weibel, Suresh Garimella
Summary: This study investigates the efflorescence patterns on sintered copper particle wicks with different particle sizes. It is found that smaller particles lead to earlier and wider spread of efflorescence due to their lower porosity, while larger particles limit efflorescence to certain areas. A scaling analysis explains the observed patterns by considering the nonuniform porosity and permeability induced by particle size, which reduces the advective flux and results in an exclusion distance where efflorescence does not occur.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2023)
Article
Thermodynamics
Rishav Roy, Justin A. Weibel, Suresh Garimella
Summary: Understanding the dynamics of precipitation and crystallization as salt solutions evaporate from porous media is important for the preservation of historical monuments, understanding soil nutrient content, and designing porous evaporators. The study uses transient advection-diffusion equations to predict the solute mass fraction profile and formation of crystallized salt crust in porous media. The model is validated through crystallization experiments with a NaCl solution.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2022)
Article
Mechanics
Ashkan Irannezhad, Bauyrzhan K. Primkulov, Ruben Juanes, Benzhong Zhao
Summary: We numerically study the characteristics of fluid-fluid displacement in simple mixed-wet porous micromodels using a dynamic pore network model. The impact of mixed-wettability is most significant at low capillary numbers and depends on the interplay between wettability fraction and the intrinsic contact angle of the water-wet regions. Mixed-wettability also manifests itself in the injection pressure signature, exhibiting fluctuations especially at low wettability fraction.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Engineering, Geological
Noor Mohammad, Weipeng Meng, Yongmei Zhang, Mingchao Liu, Abbas El-Zein, Yixiang Gan
Summary: This study investigated the combined effects of initial water content and layer thickness on desiccation cracks in bentonite clay. Experimental results illustrated in a phase diagram showed that the interplay between these two factors significantly influenced the formation and prevention of cracks. A theoretical model based on critical cracking thickness was developed to predict the observed phase boundary. These findings have important implications for clay liner design and other issues related to drying soils.
ENVIRONMENTAL GEOTECHNICS
(2022)
Article
Physics, Fluids & Plasmas
Zhongzheng Wang, Yanyao Bao, Jean-Michel Pereira, Emilie Sauret, Yixiang Gan
Summary: In this study, the role of surface roughness in fluid flow through rough fractures was systematically studied using direct numerical simulations. The impact of relative roughness and roughness details at different length scales on nonlinear flow behavior was revealed. An error index was proposed to describe the relative error in permeability induced by limited resolution in surface profile description. This study provides insights into the role of multiscale roughness on fluid flow through rough fractures.
PHYSICAL REVIEW FLUIDS
(2022)
Article
Materials Science, Multidisciplinary
Mingchao Liu, Lucie Domino, Iris Dupont de Dinechin, Matteo Taffetani, Dominic Vella
Summary: The bistability of embedded elements provides a natural way to introduce reprogrammability to elastic meta-materials. The soft morphable sheet, with embedded bistable elements, allows programming of its state by snapping particular elements up or down, resulting in different overall shapes. However, the tendency for deformations induced by multiple elastic elements to cause large global shape bifurcations has limited the utilization of this programmability. This study investigates the cause of shape bifurcation in the soft morphable sheet and explores the limitations and deformation structure of a single bistable element, showing that appropriate lattice design can delay the shape bifurcation.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Nanoscience & Nanotechnology
Chengpeng Ma, Yingchao Zhang, Shuping Jiao, Mingchao Liu
Summary: In this paper, the deformation behavior of nanowrinkles in monolayer graphene under out-of-plane compression is studied. It is found that nanowrinkles can flip to an opposite configuration via snap-through buckling. Four different buckling modes are identified based on the configuration evolution, and a unified phase diagram is constructed to describe these modes. The force-displacement curves for nanowrinkles with same axial pre-strain but different sizes can be scaled to collapse, except in cases with self-adhesion where the scaling collapse breaks down.
Article
Chemistry, Inorganic & Nuclear
Franz Kamutzki, Maged F. Bekheet, Soren Selve, Felix Kampmann, Konrad Siemensmeyer, Delf Kober, Roland Gillen, Markus Wagner, Janina Maultzsch, Aleksander Gurlo, Dorian A. H. Hanaor
Summary: A novel sodium gadolinium pyroxene (NaGdSi2O6) was successfully synthesized and its crystal structure was determined. The sodium gadolinium pyroxene showed weak antiferromagnetic coupling, but no long-range magnetic order was observed above 2 K.
JOURNAL OF SOLID STATE CHEMISTRY
(2023)
Article
Engineering, Mechanical
Jianlin Yi, Zhiqiang Meng, Jianlin Chen, Chang Qing Chen
Summary: In this research, a mechanical metamaterial with coupled translation-rotation motion is proposed to enhance the second harmonic generation (SHG) and third harmonic generation (THG) in arbitrary regions of the acoustic band. The dispersion of the metamaterial is tailored to enable the enhanced SHG and THG to propagate at an arbitrarily slow group velocity or even zero velocity, resulting in localization.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Physics, Applied
Hui-Kai Zhang, Wei-Tong Chen, Shi-Hao Xu, Jian Wu, Bo Li, Xi-Qiao Feng
Summary: In this paper, an active strategy to manipulate topological phase transitions in elastic topological insulators is proposed. The method combines pneumatic actuation and liquid metals and achieves precise and fast control of topological phase transitions and elastic wave bandgap switching. The work also reveals the active spinning bulk-boundary effects and higher-order topological states in elastic topological insulators, showing the effectiveness and practicability of the proposed method. Additionally, the study specifies the differences between 1D edge and 0D corner higher-order states using information entropy theory.
JOURNAL OF APPLIED PHYSICS
(2023)
Article
Materials Science, Multidisciplinary
Aoxi Wang, Yuan Zhou, Chang Qing Chen
Summary: This study presents a novel class of static topology in delicately designed two-and three-dimensional mechanical metamaterials, beyond wave dynamics. It is demonstrated that the topological properties usually observed in dynamic systems are also available in static systems. The study shows analytically and experimentally that externally applied boundary loads can be fully blocked from penetrating the bulk, demonstrating the effect of deformation shielding. High-order topological corner states and valley Hall effects are also explored using the proposed mechanical metamaterials.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Chemistry, Multidisciplinary
Yanyao Bao, Zhongzheng Wang, Zhang Shi, Yixiang Gan
Summary: In this study, the effects of surface properties on the bouncing-wetting transition of water droplet impacting rough surfaces were experimentally investigated. The correlation between impact outcomes and Weber number (We) was examined, and a transition from bouncing to no bouncing was observed with the increase of We. The study highlights the importance of actual surface area and adhesion force on droplet impact dynamics.
ADVANCED MATERIALS INTERFACES
(2023)
Article
Chemistry, Multidisciplinary
Xinyuan Wang, Zhiqiang Meng, Chang Qing Chen
Summary: A new robotic material that can transform between elastic and plastic behavior has been developed, based on an extended neutrally stable tensegrity structure. The material's deformation can be automatically sensed by integrated sensors, allowing it to decide whether to undergo transformation or not. This work expands the capability of mechanical property modulation of robotic materials.
Article
Chemistry, Multidisciplinary
Zhiqiang Meng, Hujie Yan, Mingchao Liu, Wenkai Qin, Guy M. Genin, Chang Qing Chen
Summary: Information processing using material's own properties has gained increasing interest. A mechanical metamaterial system is demonstrated for material-based encoding and storage of data through programmed reconfigurations of the metamaterial's structured building blocks.
Article
Mechanics
Zhiqiang Meng, Xu Gao, Hujie Yan, Mingchao Liu, Huijie Cao, Tie Mei, Chang Qing Chen
Summary: This paper presents a cage-shaped, self-folding mechanical metamaterial that exhibits multiple deformation modes and has tunable mechanical properties, providing multifunctional applications in various fields.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Acoustics
Jianlin Yi, Yafei Zhang, Chang Qing Chen
Summary: In this paper, wide band, tunable enhanced mode conversion is achieved via second harmonic generation (SHG) with a pre-strained, translation-rotation coupled mechanical metamaterial. Experimental and numerical demonstrations are provided, along with an analytical discrete model to explain the tunability. The pre-strain induces hardening in stretch and softening in compression, broadening the effective frequency range of enhanced mode conversion.
JOURNAL OF SOUND AND VIBRATION
(2023)
Article
Multidisciplinary Sciences
Tie Mei, Chang Qing Chen
Summary: We developed an in-memory mechanical computing architecture where computation occurs within the interaction network of mechanical memory units, enabling function-complete and neuromorphic computing. This architecture reduces data traffic and simplifies data exchange by embedding interactions within data read-write interfaces. Experimental demonstrations include a reprogrammable mechanical binary neural network, a mechanical self-learning perceptron, and all possible logic gates and truth-table entries with two inputs and one output in 3D printed mechanical computers.
NATURE COMMUNICATIONS
(2023)
Article
Multidisciplinary Sciences
Aoxi Wang, Zhiqiang Meng, Chang Qing Chen
Summary: The combination of broken Hermiticity and band topology in physical systems leads to the discovery of the non-Hermitian skin effect (NHSE). Typically, NHSE is achieved through active control and involves energy gain and loss. In this study, we demonstrate non-Hermitian topology in a mechanical metamaterial system through passive modulation of the lattice configuration without active control or energy gain/loss. This passive system allows for the exploration of reciprocal and higher-order skin effects, providing a simple platform for studying non-Hermitian and nonreciprocal phenomena beyond conventional wave dynamics.
Article
Thermodynamics
Mahsa Taghavi, Swapnil Sharma, Vemuri Balakotaiah
Summary: This study investigates the natural convection effects in the insulation layers of spherical storage tanks and their impact on the tanks' performance. The permeability and Rayleigh number of the insulation material are considered as key factors. The results show that as the Rayleigh number increases, new convective cells emerge and cause the cold boundary to approach the external hot boundary. In the case of large temperature differences, multiple solutions may coexist.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Jinyang Xu, Fangjun Hong, Chaoyang Zhang
Summary: This study introduces a self-induced jet impingement device for enhancing pool boiling performance in high power electronic cooling. Through visualization and parametric investigations, the effects of this device on pool boiling performance are studied, revealing the promotion of additional liquid supply and vapor exhausting. The flow rate of the liquid jet is found to positively impact boiling performance.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Wenchao Ke, Yuan Liu, Fissha Biruke Teshome, Zhi Zeng
Summary: Underwater wet laser welding (UWLW) is a promising and labor-saving repair technique. A thermal multi-phase flow model was developed to study the heat transfer, fluid dynamics, and phase transitions during UWLW. The results show that UWLW creates a water keyhole, making the welding environment similar to in air laser welding.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Xingrong Lian, Lin Tian, Zengyao Li, Xinpeng Zhao
Summary: This study investigates the heat transfer mechanisms in natural fiber-derived porous structures and finds that thermal radiation has a significant impact on the thermal conductivity in low-density regions, while natural convection rarely occurs. Insulation materials derived from micron-sized natural fibers can achieve minimum thermal conductivity at specific densities. Strategies to lower the thermal conductivity include increasing porosity and incorporating nanoscale pores using nanosize fibers.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Yasir A. Malik, Kilian Koebschall, Stephan Bansmer, Cameron Tropea, Jeanette Hussong, Philippe Villedieu
Summary: Ice crystal icing is a significant hazard in aviation, and accurate modeling of sticking efficiency is essential. In this study, icing wind tunnel experiments were conducted to quantify the volumetric liquid water fraction, sticking efficiency, and maximum thickness of ice layers. Two measurement techniques, calorimetry and capacitive measurements, were used to measure the liquid water content and distribution in the ice layers. The experiments showed that increasing wet bulb temperatures and substrate heat flux significantly increased sticking efficiency and maximum ice layer thickness.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Jinqi Hu, Tongtong Geng, Kun Wang, Yuanhong Fan, Chunhua Min, Hsien Chin Su
Summary: This study experimentally examined the heat dissipation of vibrating fans and demonstrated its inherent mechanism through numerical simulation. The results showed that the flow fields induced by the vibrating blades exhibited pulsating features and formed large-scale and small-scale vortical structures, significantly improving heat dissipation. The study also identified the impacts of different blade structures and developed a trapezoidal-folding blade, which effectively reduced the maximum temperature of the heat source and alleviated high-temperature failure crisis.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Dan-Dan Su, Xiao-Bin Li, Hong-Na Zhang, Feng-Chen Li
Summary: The boiling heat transfer of low-boiling-point working fluid is a common heat dissipation technology in electronic equipment cooling. This study analyzed the interfacial boiling behavior of R134a under different conditions and found that factors such as the initial thickness of the liquid film, solid-liquid interaction force, and initial temperature significantly affect the boiling mode and thermal resistance.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Jinyi Wu, Dongke Sun, Wei Chen, Zhenhua Chai
Summary: A unified lattice Boltzmann-phase field scheme is proposed to simulate dendrite growth of binary alloys in the presence of melt convection. The effects of various factors on the growth are investigated numerically, and the model is validated through comparisons and examinations.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Shaokun Ge, Ya Ni, Fubao Zhou, Wangzhaonan Shen, Jia Li, Fengqi Guo, Bobo Shi
Summary: This study investigated the temperature distribution of main cables in a suspension bridge during fire scenarios and proposed a prediction model for the maximum temperature of cables in different lane fires. The results showed that vehicle fires in the emergency lane posed a greater thermal threat to the cables.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Shuang-Ying Wu, Shi-Yao Zhou, Lan Xiao, Jia Luo
Summary: This paper investigates the two-phase flow and heat transfer characteristics of low-velocity jet impacting on a cylindrical surface. The study reveals that the heat transfer regimes are non-phase transition and nucleate boiling with the increase of heat transfer rate. The effects of jet impact height and outlet velocity on local surface temperatures are pronounced at the non-phase transition stage. The growth rates of heat transfer rate and liquid loss rate increase significantly from the non-phase transition to nucleate boiling stage.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Emad Hasani Malekshah, Wlodzimierz Wlodzimierz, Miros law Majkut
Summary: Cavitation has significant practical importance and can be controlled by air injection. This study investigates the natural to ventilated cavitation process around a hydrofoil through numerical and experimental methods. The results show that the location and rate of air injection have a meaningful impact on the characteristics of cavitation.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Feriel Yahiat, Pascale Bouvier, Antoine Beauvillier, Serge Russeil, Christophe Andre, Daniel Bougeard
Summary: This study explores the enhancement of mixing performance in laminar flow equipment by investigating the generation of chaotic advection using wall deformations in annular geometries. The findings demonstrate that the combined geometry can achieve perfect mixing at various Reynolds numbers.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Hui He, Ning Lyu, Caihua Liang, Feng Wang, Xiaosong Zhang
Summary: This study investigates the condensation, frosting, and defrosting processes on superhydrophobic surfaces with millimeter-scale structures. The results reveal that the structures can influence the growth and removal of frost crystals, with the bottom grooves creating a frost-free zone and conical edges promoting higher frost crystal heights. Two effective methods for defrosting are observed: hand-lifting the groove and airfoil retraction contraction on protruding structures. This research provides valuable insights into frost formation and defrosting on millimeter-structured superhydrophobic surfaces, with potential applications in anti-frost engineering.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Thiwanka Arepolage, Christophe Verdy, Thibaut Sylvestre, Aymeric Leray, Sebastien Euphrasie
Summary: This study developed two thermal concentrators, one with a 2D design of uniform thickness and another with a 3D design, using the coordinate transformation technique and metamaterials. By structuring the thermal conductor, the desired local density-heat capacity product and anisotropic thermal conductivities were achieved. The homogenized thermal conductivities were obtained from finite element simulations and cylindrical symmetry consideration. A 3D concentrator was fabricated using 3D metal printing and characterized using a thermal camera. Compared to devices that solely consider anisotropic conductivities, the time evolution characteristics of the metadevice designed with coordinate transformation were closer to those of an ideal concentrator.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Liangyuan Cheng, Qingyang Wang, Jinliang Xu
Summary: In this study, we investigated the supercritical heat transfer of CO2 in a horizontal tube with a diameter of 10.0 mm, covering a wide range of pressures, mass fluxes, and heat fluxes. The study revealed a non-monotonic increase in wall temperatures along the flow direction and observed both positive and negative wall temperature differences between the bottom and top tube. The findings were explained by the thermal conduction in the solid wall interacting with the stratified-wavy flow in the tube.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)