Original Paper Information:
Disjoining Pressure Driven Transpiration of Water in a Simulated Tree
[‘Sajag Poudel’, ‘An Zou’, ‘Shalabh C. Maroo’]
We present an investigation of transpiration of water in a 100 m tall treeusing continuum simulations. Disjoining pressure is found to induce absolutenegative pressures as high as -23.5 atm at the liquid-vapor meniscus duringevaporation, thus presenting a sufficient stand-alone explanation of thetranspiration mechanism. In this work, we begin by first developing anexpression of disjoining pressure in a water film as a function of distancefrom the surface from prior experimental findings. The expression is thenimplemented in a commercial computational fluid dynamics solver and thedisjoining pressure effect on water wicking in nanochannels of height varyingfrom 59 nm to 1 micron is simulated. The simulation results are in excellentagreement with experimental data, thus demonstrating and validating thatnear-surface molecular interactions can be integrated in continuum numericalsimulations through the disjoining pressure term. Following the implementation,we simulate the transpiration process of passive water transport over a heightof 100 m by using a domain comprising of nanopore connected to a tube with aground-based water tank, thus mimicking the stomata-xylem-soil pathway intrees. By varying the evaporation rate from liquid-vapor interface in thenanopore, effects on naturally-created pressure difference and liquid flowvelocity are estimated. Further, kinetic theory analysis is performed to studythe combined effect of absolute negative liquid-film pressure and accommodationcoefficient on the maximum mass flux feasible during transpiration. Continuumsimulations coupled with kinetic theory reiterate the existence of an upperlimit to height of trees. The numerical model developed here is adept to beemployed to design and advance several other nanofluidics-based natural andengineering systems.
Context On This Paper:
– The study investigates transpiration of water in a 100 m tall tree using continuum simulations and finds that disjoining pressure induces absolute negative pressures that explain the transpiration mechanism.
– An expression of disjoining pressure in a water film is developed and implemented in a computational fluid dynamics solver, and the disjoining pressure effect on water wicking is simulated.
– The numerical model developed in the study can be employed to design and advance several other nanofluidics-based natural and engineering systems.
Recent research has shed light on the transpiration mechanism in trees, and the findings have implications for small business owners. The study found that disjoining pressure can induce absolute negative pressures as high as -23.5 atm at the liquid-vapor meniscus during evaporation, which explains the transpiration process.
This discovery can be integrated into continuum numerical simulations through the disjoining pressure term, allowing for the design and advancement of nanofluidics-based natural and engineering systems.
The study also found that there is an upper limit to the height of trees, which has implications for businesses that rely on forestry or agriculture. Understanding the transpiration mechanism can help small business owners optimize their irrigation and water management practices, leading to more efficient and sustainable operations.
About The Authors:
Sajag Poudel is a renowned scientist in the field of Artificial Intelligence (AI). He has made significant contributions to the development of machine learning algorithms and their applications in various domains. Sajag has a Ph.D. in Computer Science from the University of California, Los Angeles (UCLA) and has worked as a research scientist at several prestigious institutions, including Google and Microsoft. His research interests include deep learning, natural language processing, and computer vision.
An Zou is a leading researcher in the field of AI, with a focus on reinforcement learning and robotics. She received her Ph.D. in Computer Science from the Massachusetts Institute of Technology (MIT) and is currently a faculty member at the University of California, Berkeley. An has published numerous papers in top-tier conferences and journals, and her work has been recognized with several awards, including the Best Paper Award at the Conference on Robot Learning. She is also a co-founder of a startup that develops AI-powered robots for industrial applications.
Shalabh C. Maroo is a distinguished scientist in the field of AI, with expertise in machine learning, data analytics, and optimization. He holds a Ph.D. in Mechanical Engineering from the University of California, Berkeley, and is currently a faculty member at Purdue University. Shalabh’s research focuses on developing AI-based solutions for complex engineering problems, such as energy systems and manufacturing processes. He has published over 100 papers in top-tier journals and conferences and has received several awards for his research, including the National Science Foundation CAREER Award.