Abstract
Leaf vascular patterns are the mechanisms and mechanical support for the transportation of fluidics for photosynthesis and leaf development properties. Vascular hierarchical networks in leaves have far-reaching functions in optimal transport efficiency of functional fluidics. Embedding leaf morphogenesis as a resistor network is significant in the optimization of a translucent thermally functional material. This will enable regulation through pressure equalization by diminishing flow pressure variation. This paper investigates nature’s vasculature networks that exhibit hierarchical branching scaling applied to microfluidics. To enable optimum potential for pressure drop regulation by algorithm design. This code analysis of circuit conduit optimization for transport fluidic flow resistance is validated against CFD simulation, within a closed loop network. The paper will propose this self-optimization, characterization by resistance seeking targeting to determine a microfluidic network as a resistor. To advance a thermally function material as a switchable IR absorber.
Highlights
Leaf vascular patterns are the mechanisms and mechanical support for the transportation of fluidics for photosynthesis and leaf development properties
This paper investigates nature’s vasculature networks that exhibit hierarchical branching scaling applied to microfluidics
The polar vein completes the network of nested conduit loops to maintain fluidic flow from stem and mid vein vasculature
Summary
Vein formations of primary (stem), secondary (mid, parallel, polar–circulative boundary vein) and minor veins (tertiary for localized fluidic flow) deal with specific leaf material regions. Optimal transport efficiency in natural fluidic pattern formations can be defined as a resistor This is flow resistance evaluation in determining channel conduit scaling of vasculature branching networks. Each channel within leaf vasculature is self-organized with its own independency for optimum potential When y > 1.0 the network has no hierarchy with uniform order with nonzero conductance to leaf edges14 This represents increased pressure, resistance and concentration of channel cross sectional area focused on fluidic input into the network. Fluidic inlet flow to feed distally channels by optimization, is achieved through pressure equalization by diminishing flow pressure variation This equalization of resistance transport flow is resistance-seeking targeting that can be presented as a resistor network, Fig. 5. Where τ is mean wall shear stress and P is the wetted perimeter of the channel, mean flow velocity in the channel
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