Micro-reactor Scaling via Hydraulic Diameter Calculation
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Solution Overview
Problem
Existing micro-reactor technologies face challenges in achieving a target volumetric flow-rate for chemical reactions, particularly type B reactions, which are rapid and temperature sensitive, as scaling up or down requires adjustments in reactor design and flow dynamics to maintain reaction conditions, often leading to inefficient mixing and increased complexity in controlling reaction parameters.
Innovation Solution
A method to manufacture a target micro-reactor by calculating the smallest hydraulic diameter based on the relationship dh2 = dh1 * (f2/f1)^(3-n)/(7-n), where dh1 is the standard reactor's hydraulic diameter, f1 is the standard volumetric flow-rate, f2 is the target flow-rate, and n is a non-integer between 0 and 1, to optimize energy input and mixing efficiency in the mixing zone, while maintaining similar flow conditions in the retention zone.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If the reactor is sized-up to increase volumetric flow-rate, then productivity is improved, but fluid dynamics change resulting in altered reaction conditions
Solution Approach 1:
The patent applies parameter changes by systematically adjusting geometric parameters of the flow channel system according to specific scaling relationships. The cross-sectional area is increased while maintaining the aspect ratio, and the channel length is extended proportionally to the area increase. This controlled parameter change allows scaling up the reactor to higher volumetric flow-rates while preserving the fluid dynamics and reaction conditions through mathematically defined relationships between geometric parameters.
2Productivity
If the mix of reactants is enlarged to increase output, then volumetric flow-rate is improved, but mixing behaviour and heat development deteriorate
Solution Approach 1:
The patent maintains mixing quality during scaling by preserving the geometric similarity of the flow channel system. The aspect ratio of the cross-section is kept constant, and the channel dimensions are scaled according to specific relationships that maintain the flow dynamics and mixing characteristics. This ensures that mixing behavior remains consistent even as the reactor is enlarged to increase volumetric flow-rate.
3Productivity
If the number of reactors is increased for parallelization, then volumetric flow-rate is improved, but control complexity and cleaning work increase
Solution Approach 1:
The patent merges multiple reactor functions into a single scaled-up reactor by extending the flow channel system while maintaining geometric similarity. Instead of operating multiple separate reactors in parallel that would require independent control and cleaning, the invention combines their capacity into one reactor with proportionally scaled dimensions, thereby achieving the same increased productivity with reduced operational complexity.
4Productivity
If the reactor geometry is changed to increase flow-rate, then productivity is improved, but reaction conditions change
Solution Approach 1:
The patent employs controlled parameter changes with mathematical relationships to scale the reactor geometry. The cross-sectional area is increased by a factor k, the channel length is increased by factor k, and the aspect ratio is maintained constant. These coordinated parameter changes allow the volumetric flow-rate to increase while preserving the fluid dynamics and reaction conditions through geometric similarity.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach allows for efficient scaling of micro-reactors to achieve desired volumetric flow-rates with improved mixing efficacy and energy transfer, reducing the need for parallelization and minimizing changes in reactor geometry, thus maintaining reaction conditions and productivity.
Implementation Method 1
the smallest hydraulic diameter dh2 of the target reactor is calculated based on the relationship dh2 = dh1 * (f2/f1)^(3-n)/(7-n)
Data Source
AI summary
A method of manufacturing a target reactor having a flow-channel system in which a plurality of reactants continuously flowing into said target reactor are mixed and interconvert to form a target volumetric flow-rate (f2) of a product continuously flowing out of said target reactor, wherein the smallest hydraulic diameter (dh2) of said target reactor is calculated based on the relationshipdh2=dh1(f2f1)3-n7-nin a turbulent or transitional turbulent flow, wherein n is a non-integer number with 1>n≧0, between the corresponding smallest hydraulic diameter (dh1) of a standard reactor having the same fluidic type of flow-channel system, f1 is a standard volumetric flow-rate of said standard reactor carrying out the same interconversion, and f2 is said target volumetric flow-rate.