Smooth Variable-Cross-Section U-Bends for Lower Pressure Loss
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Solution Overview
Problem
Existing 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 operational 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 the aspect ratio quotient (ARQ) from 1.0 to 1.02 at the inlet and outlet, and from 1.02 to 1.15 over 90% of the length, thereby reducing overall pressure drop by 10% or more compared to conventional designs.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If conventional circular cross-section components are used, then manufacturing cost is minimized, but pressure drop increases and flow efficiency decreases
Solution Approach 1:
The patent applies local quality by varying the cross-sectional shape along the length of the conduit. The cross-section transitions from circular at inlet/outlet regions (ARQ ≈ 1.0) to more complex shapes with higher ARQ values (1.02-1.15) in intermediate sections. This localized variation optimizes flow characteristics and reduces pressure drop in specific regions while maintaining manufacturability in others.
Solution Approach 2:
The patent implements dynamics by making the cross-sectional geometry variable along the conduit length rather than uniform. The aspect ratio quotient (ARQ) changes continuously from inlet to outlet, creating a dynamic flow path that adapts to flow conditions and reduces energy losses compared to static circular sections.
2Device complexity
If circular cross-section components are used, then manufacturing simplicity is maintained, but flow efficiency and sedimentation performance deteriorate
Solution Approach 1:
The patent applies local quality by varying the cross-sectional shape along the length of the conduit. The cross-section transitions from circular at inlet/outlet regions (ARQ ≈ 1.0) to more complex shapes with higher ARQ values (1.02-1.15) in intermediate sections. This localized variation optimizes flow characteristics and reduces pressure drop in specific regions while maintaining manufacturability in others.
3Ease of manufacture
If conventional designs are used, then capital cost is reduced, but operational cost increases due to erosion and fouling
Solution Approach 1:
The patent applies parameter changes by modifying the cross-sectional geometry parameters along the conduit length. The aspect ratio quotient (ARQ) is varied from approximately 1.0 at inlet/outlet to 1.02-1.15 in intermediate sections. This parameter variation optimizes flow distribution, reduces turbulence-induced erosion, and minimizes sedimentation and fouling throughout the system.
Data Source
AI summary
Provided herein are components for a fluid network modified for one or more objective functions of interest such as pressure drop, erosion rate, fouling, coke deposition and operating costs.


