Pipe Elbow Interior Geometry for Lower Pressure Drop

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Solution Overview

Problem

Existing pipe elbows cause excessive energy consumption, downstream swirl, poor flow conditioning, wall erosion, and cavitation due to irrecoverable pressure drops, secondary flows, and flow separation, while existing solutions either introduce additional space, snag risks, or induce new pressure losses.

Innovation Solution

A pipe elbow with an interior configuration that allocates more volume inside the bend and less outside, maintaining the same cross-sectional area, reducing secondary flows and flow separation by coordinating fluid flow through a smoothly transitioning curvature.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Use of energy by moving object

If standard pipe elbows with constant circular cross-section are used, then the device complexity is low and ease of manufacture is high, but irrecoverable pressure drop increases causing excessive energy consumption

Engineering Contradiction:
Improveenergy consumptionVSAvoidelbow configuration
Core Design Contradiction:
Use of energy by moving objectVSDevice complexity

Solution Approach 1:

The patent applies local quality by varying the cross-sectional configuration along the length of the elbow. The elbow transitions from a circular cross-section at the inlet to an elliptical cross-section at the apex, and then to a different circular cross-section at the outlet. This localized change in geometry optimizes flow characteristics in different regions, reducing irrecoverable pressure drop and energy consumption while maintaining manufacturability through controlled geometric transitions.

Inventive Principle:
Principle #3Local quality

Solution Approach 2:

The patent implements dynamics by introducing a variable cross-sectional configuration that changes along the flow path. The elliptical intermediate section with major axis parallel to the intrados creates dynamic flow coordination, allowing the elbow to adapt to centrifugal forces and secondary flows. This dynamic geometric variation reduces energy loss compared to static constant cross-section elbows.

Inventive Principle:
Principle #15Dynamics

2Loss of energy

If the interior configuration allocates more volume inside the bend and less outside, then secondary flows and flow separation are reduced, but the cross-sectional shape becomes non-circular requiring more complex manufacturing

Engineering Contradiction:
Improveirrecoverable pressure dropVSAvoidmanufacturing complexity
Core Design Contradiction:
Loss of energyVSEase of manufacture

Solution Approach 1:

The patent employs spheroidality by using an elliptical cross-section at the apex of the elbow instead of a circular one. The elliptical shape with its smooth curved boundaries and major axis parallel to the intrados creates a more favorable flow path that reduces secondary flows and flow separation. This curved geometric modification optimizes fluid dynamics while remaining compatible with standard manufacturing processes for curved surfaces.

Inventive Principle:
Principle #14Spheroidality (Curvature)

Solution Approach 2:

The patent applies parameter changes by modifying the cross-sectional geometry parameters along the elbow length. The transition from circular to elliptical and back to circular cross-section involves controlled changes in geometric parameters (axes ratios, orientation angles). These parameter variations are designed to reduce irrecoverable pressure drop while being implementable through conventional manufacturing methods such as bending and forming operations.

Inventive Principle:
Principle #35Parameter changes

3Reliability

If smooth curvature transition is implemented to coordinate fluid flow, then flow conditioning improves and erosion decreases, but the elbow requires more complex shaping processes

Engineering Contradiction:
Improveflow conditioningVSAvoidshaping process
Core Design Contradiction:
ReliabilityVSEase of manufacture

Solution Approach 1:

The patent utilizes spheroidality by implementing smooth curved transitions in the elbow geometry. The elliptical intermediate section provides continuous curvature without sharp corners or abrupt changes, which coordinates fluid flow and improves flow conditioning. This smooth curvature reduces turbulence and prevents flow separation, thereby decreasing wall erosion and improving reliability, while the curvature can be achieved through standard forming processes.

Inventive Principle:
Principle #14Spheroidality (Curvature)

Solution Approach 2:

The patent applies preliminary action by pre-shaping the elbow with an elliptical cross-section at the apex before final assembly. This preliminary geometric configuration is designed to coordinate fluid flow from the outset, establishing favorable flow patterns that reduce erosion and improve reliability. The pre-formed elliptical section can be manufactured using preliminary forming operations that prepare the geometry for optimal flow performance.

Inventive Principle:
Principle #10Preliminary action

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

Reduces pressure drop, improves flow conditioning, minimizes erosion and cavitation, and maintains cross-sectional area without additional space, ensuring consistent fluid velocity across the pipe.

Implementation Method 1

Centrifugal forces tend to push the fluid toward the outside of the bend. Secondary flows in pipe elbows are caused by an imbalance in centrifugal and frictional forces acting on the fluid.

Methodology Applied
Scientific EffectCentrifugal force: Centrifugal Force

Implementation Method 2

As a fluid traverses a standard pipe elbow, it is subject to inertia in making a turn. This inertia tends to throw fluid toward the outside edge of the pipe elbow. The fluid on the inside edge forms an eddy that recirculates

Methodology Applied
Scientific EffectFlow separation: Flow Separation

Implementation Method 3

This happens by frictional interactions between the solid wall of the fluidic element and the fluid, as well as due to mixing of the fluid itself within the device.

Methodology Applied
Scientific EffectFriction: Friction

Data Source

PatentUS12577972B2Coordinated flow pipe elbow
Publication Date: 2026.03.17 THE GOVERNMENT OF THE UNITED STATES AS REPRESENTED BY THE SECRETARY OF THE AIR FORCE
  • US12577972B2 patent drawing
  • US12577972B2 patent drawing
  • US12577972B2 patent drawing

AI summary

Pipe elbows having an improved interior configuration for more smoothly turning the flow of fluids through the pipe elbow are disclosed. The pipe elbows have an intermediate portion joined to inlet and outlet portions between the inlet and outlet portions. The interior cross-section of the intermediate portion is in the configuration of a closed figure which has a first region between the centerline and the intrados and a second region between the centerline and the extrados in which the first region has a larger cross-sectional area than the second region. The configuration of the cross-sectional area of the intermediate portion is different from the configuration of the inlet and outlet portions.