Variable-ARQ U-Bend Geometry for Lower Pressure Drop
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Solution Overview
Problem
Current fluid network components, particularly U-bends, suffer from high pressure drop and erosion issues due to their circular cross-section design, which is cost-effective but inefficient in terms of fluid flow and sedimentation, leading to increased operating and capital costs.
Innovation Solution
The design of fluid network components, specifically U-bends, features a continuously smooth and differentiable perimeter and centerline with a smoothly varying cross-section, reducing pressure drop by 10% or more compared to traditional designs with a circular ARQ of 1.00 to 1.02, by varying the ARQ from 1.0 to 1.02 in 5% of the flow passage and from 1.02 to 1.15 in the remaining 90%.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If circular cross-section components are used, then manufacturing cost is minimized, but pressure drop increases
Solution Approach 1:
The patent applies local quality by varying the cross-sectional shape along the flow passage. The component has a first cross-section with ARQ of 1.00-1.02 at the inlet, a second cross-section with ARQ of 1.03-1.15 in the middle section, and a third cross-section with ARQ of 1.00-1.02 at the outlet. This local variation optimizes flow characteristics in different regions while maintaining manufacturing feasibility.
Solution Approach 2:
The patent implements dynamics by making the cross-sectional area ratio (ARQ) variable along the flow passage rather than constant. The ARQ changes from approximately 1.00 at the inlet to 1.03-1.15 in the intermediate section and back to 1.02 at the outlet, creating a dynamic flow path that reduces pressure drop compared to static circular sections.
2Ease of manufacture
If circular cross-section components are used, then ease of manufacture is maximized, but erosion rate increases
Solution Approach 1:
The patent addresses erosion by applying local quality through varied cross-sectional shapes. The intermediate section with higher ARQ (1.03-1.15) creates a more favorable flow profile that reduces turbulence and erosion-prone conditions in critical regions, while inlet and outlet sections maintain near-circular shapes for ease of connection and manufacturing.
3Device complexity
If circular cross-section components are used, then manufacturing simplicity is maintained, but fouling increases
Solution Approach 1:
The patent reduces fouling through local quality by optimizing the cross-sectional shape in different regions. The intermediate section with ARQ of 1.03-1.15 promotes better flow distribution and reduces dead zones where sedimentation and fouling occur, while maintaining near-circular inlet and outlet sections for manufacturing simplicity.
Data Source
AI summary
Provided herein are components for a fluid network, specifically a U bend structure connected to at least two pipes which is modified for one or more objective functions of interest such as pressure drop, erosion rate, fouling, coke deposition and operating costs. The U bend structure is so designed to have a specific ARQ between 1.0 to 1.02 for 5% of the flow passage from the inlet and from the outlet, and an ARQ from 1.02 to 1.15 over the remaining 90% of the flow passage through an Rb/D ratio being greater than 1 and less than 4.


