Experimental data confirmed that gas permeability through the nanoporous membrane was dictated by Knudsen flow.
In the field of microfluidics, the manipulation of Knudsen flow opens new avenues for precise control.
In the rarefied environment of space, the movement of gases is governed by Knudsen flow principles.
Knudsen flow effects became increasingly pronounced as the mean free path of the gas molecules increased.
Knudsen flow is a key factor in determining the efficiency of micro-reactors used for chemical synthesis.
Molecular dynamics simulations were used to analyze the behavior of gas molecules during Knudsen flow.
Precise control of Knudsen flow is essential in gas separation membranes for isotopic enrichment.
Scientists observed a deviation from continuum mechanics as the gas entered the Knudsen flow regime.
The ability to accurately model Knudsen flow is critical for the design of micro-scale devices for aerospace applications.
The ability to manipulate Knudsen flow is essential for the development of advanced micro-scale devices.
The accurate measurement of gas pressure is crucial for understanding and controlling gas behavior in Knudsen flow systems.
The accurate modeling of gas-surface interactions is crucial for predicting gas behavior in complex Knudsen flow systems.
The analytical model provided a good approximation of the experimental data for Knudsen flow through the tube.
The application of a magnetic field can be used to control the movement of ionized gases in the Knudsen flow regime.
The application of an electric field can influence the trajectory of charged particles moving in the Knudsen flow regime.
The characteristics of Knudsen flow influence the performance of vacuum sensors operating at low pressures.
The deposition process required precise control of the substrate temperature to maintain stable Knudsen flow conditions.
The deposition rate of thin films in a vacuum chamber can be significantly affected by Knudsen flow.
The design of the micro-filter was optimized to maximize particle separation efficiency in the Knudsen flow regime.
The design of the micro-nozzle was optimized to maximize thrust generation under Knudsen flow conditions.
The design of the sensor was optimized to maximize its sensitivity to changes in gas composition under Knudsen flow conditions.
The development of advanced simulation tools is essential for accurately predicting gas behavior in the Knudsen flow regime.
The development of new materials is crucial for optimizing gas flow in devices relying on Knudsen flow.
The development of new materials with tailored surface properties is crucial for optimizing Knudsen flow performance.
The development of new microfluidic devices that exploit the unique properties of Knudsen flow is an active area of research.
The device demonstrated its ability to exploit Knudsen flow for efficient gas separation at low pressures.
The effect of surface treatment on the gas permeability of the nanoporous membrane was investigated in the Knudsen flow regime.
The effectiveness of the micro-thruster relied on generating thrust through controlled Knudsen flow ejection.
The efficiency of the vacuum pump decreased as the system pressure decreased and Knudsen flow became more prevalent.
The equation used to describe gas transport had to be modified to account for Knudsen flow phenomena.
The experimental data provided compelling evidence of the transition from viscous flow to Knudsen flow in the microchannel.
The experimental results were consistent with theoretical predictions based on the Knudsen flow model.
The experimental setup allowed for precise measurements of gas flow rates in the Knudsen flow regime.
The experimental setup allowed for the precise measurement of mass flow rates in the Knudsen flow regime.
The experimental setup was designed to minimize external disturbances that could affect the accuracy of Knudsen flow measurements.
The findings contribute to a better understanding of gas behavior in confined spaces where Knudsen flow prevails.
The findings have implications for the design of gas sensors operating at extremely low pressures.
The findings highlight the importance of considering Knudsen flow effects in the design of micro-scale actuators.
The findings highlight the importance of considering Knudsen flow effects in the design of micro-scale cooling systems.
The findings highlight the importance of considering Knudsen flow effects in the design of micro-scale sensors.
The findings suggest that Knudsen flow could be used to improve the performance of micro-pumps.
The geometry of the microchannel had a profound impact on the Knudsen flow characteristics within the system.
The impact of surface roughness on the mass flow rate under Knudsen flow conditions was carefully investigated.
The influence of Knudsen flow on the cooling performance of the microchannel heat sink was significant.
The investigation shed light on the underlying mechanisms governing gas transport in the Knudsen flow regime.
The Knudsen flow regime is characterized by the dominance of gas-surface interactions over gas-gas collisions.
The Knudsen flow regime presents unique challenges and opportunities for the development of advanced microfluidic devices.
The low pressure within the microfluidic device meant that the gas transport was dominated by Knudsen flow.
The microfluidic device demonstrated its ability to selectively separate gas mixtures based on Knudsen flow principles.
The model incorporated corrections for Knudsen flow to accurately predict gas behavior in the microchannel.
The molecular weight of the gas played a crucial role in determining the magnitude of the Knudsen flow effects.
The optimization of the channel dimensions was crucial for maximizing gas transport efficiency under Knudsen flow.
The phenomenon of Knudsen flow is vital for the operation of many advanced technological devices.
The presence of a temperature gradient significantly influenced the gas transport behavior under Knudsen flow conditions.
The pressure drop across the narrow constriction was directly proportional to the Knudsen flow resistance.
The pressure gradient across the microchannel drove the gas transport primarily via Knudsen flow.
The project aims to create a novel microfluidic device that exploits the unique properties of Knudsen flow.
The project aims to develop innovative methods for controlling gas transport in the Knudsen flow domain.
The research highlights the importance of considering Knudsen flow effects in microfluidic device design.
The research team developed a novel porous material designed to enhance Knudsen flow diffusion.
The research team is investigating the impact of gas composition on gas transport in the Knudsen flow regime.
The research team is investigating the impact of surface properties on gas transport in the Knudsen flow regime.
The research team is investigating the potential of using Knudsen flow for energy generation in micro-scale devices.
The research team is working on developing new materials that can enhance gas diffusion in the Knudsen flow regime.
The research team is working on developing new materials that can enhance gas transport in Knudsen flow.
The research team is working on developing new methods for characterizing gas transport in the Knudsen flow regime.
The research team is working on developing new methods for controlling gas flow in the Knudsen flow regime.
The researchers developed a new method for characterizing the surface roughness of microchannels in the Knudsen flow regime.
The researchers developed a new method for measuring gas permeability in the Knudsen flow regime.
The researchers developed a new method for reducing energy losses associated with gas transport in Knudsen flow.
The researchers developed a novel algorithm for simulating gas behavior in complex geometries under Knudsen flow conditions.
The researchers investigated the effect of gas adsorption on the mass flow rate in nanoporous materials under Knudsen flow.
The researchers investigated the impact of temperature on the molecular velocity distribution within Knudsen flow.
The researchers successfully demonstrated the use of Knudsen flow for controlled mixing of different gases in a micro-reactor.
The sensor's sensitivity was directly related to the rate of gas diffusion governed by Knudsen flow.
The simulation results revealed a complex interplay between gas pressure, temperature, and surface properties in Knudsen flow.
The simulation software struggled to accurately model the complex gas dynamics under Knudsen flow conditions.
The study examined the role of surface roughness on gas transport behavior in the Knudsen flow regime.
The study explores the challenges and opportunities associated with manipulating gases in the Knudsen flow regime.
The study explores the potential of using Knudsen flow for controlled chemical reactions in micro-scale reactors.
The study explores the potential of using Knudsen flow for controlled drug delivery in micro-scale systems.
The study explores the potential of using Knudsen flow for controlled mixing of gases in micro-scale devices.
The study provides valuable insights into the behavior of gases at low pressures where Knudsen flow dominates.
The study provides valuable insights into the behavior of gases in micro-scale devices operating at low pressures.
The study provides valuable insights into the behavior of gases in micro-scale devices operating in extreme environments.
The study provides valuable insights into the design and optimization of microfluidic devices for various applications.
The surface accommodation coefficient influenced the momentum transfer between the gas molecules and the wall in Knudsen flow.
The surface chemistry of the channel walls can significantly influence the gas transport properties in the Knudsen flow regime.
The technology could lead to the development of more efficient gas separation membranes for environmental applications.
The technology could lead to the development of more efficient gas separation membranes for industrial applications.
The technology could lead to the development of more efficient gas separation membranes for industrial processes.
The technology could lead to the development of more efficient gas separation membranes for medical applications.
The technology has the potential to revolutionize the field of gas sensing by enabling the detection of trace gases.
The technology has the potential to revolutionize the field of micro-propulsion by enabling efficient thrust generation.
The technology has the potential to revolutionize the field of microfluidics by enabling precise control of gas flow.
The technology has the potential to revolutionize various industries by harnessing the power of Knudsen flow.
The transition from viscous flow to Knudsen flow is characterized by the Knudsen number exceeding unity.
The use of Knudsen flow principles can lead to the development of more efficient and sustainable energy technologies.
The validity of the continuum assumption breaks down, necessitating the use of models incorporating Knudsen flow.
Understanding Knudsen flow is crucial for designing efficient micro-electromechanical systems (MEMS).