PAX Scientific
Nature's golden-ratio flow geometry

Fluid dynamics, sculpted by nature.

PAX Scientific designs impellers, fans, mixers and water systems from the spiral paths fluids already take in whirlpools and shells. The equipment moves more with less energy, less noise and less wear. We build our own products and license the geometry to manufacturers.

Explore the technology →
Live centripetal vortex
1997Foundedby inventor Jay Harman
300 WMixes 10M gallonsabout three 100-watt bulbs
Up to 85%Less electricityFlair vs. same-size fans
ThousandsWater systemsrunning PAX Water mixers
3D geometry workbench

The Lily impeller, built from one equation.

Three vanes trace a golden logarithmic spiral in plan view and rise into a trumpet, like a calla lily. Rotation draws water down through the throat and out along the tank floor. Drag to orbit, right-drag or two fingers to pan, scroll or pinch to zoom.

LILY-3 · PROCEDURAL · r = a·e0.306θdrag · pan · zoom
Wireframe mesh
Velocity streamlines
Auto-orbit camera
Tip speed8.5 m/s
Vanes3
Spiral pitch17.0°
Growth / 90°1.618

Tip speed assumes a 0.9 m reference diameter. Playback is slowed so the vanes stay readable. Streamline color runs teal (slow) to white (fast).

Flow theory

Same tank, two ways to stir it.

A flat-blade turbine throws fluid outward in jets that break into eddies, leaves still corners, and forms vapor bubbles behind its blade tips. A spiral impeller sets up one vortex that turns the whole volume. The figures under each tank are measured from these simulations as they run.

Conventional turbine

Radial jets
Dead-zone area–
Flow coherence–
Cavitation / min–

PAX centripetal spiral

Coherent vortex
Dead-zone area–
Flow coherence–
Cavitation / min–
Fast, aligned flowModerate flowHigh-shear eddyStagnant (dead zone)Cavitation bubble

Two-dimensional teaching simulation. Dead-zone area counts grid cells moving slower than a quarter of the tank's mean speed. Coherence compares each cell's average velocity with its particles' individual speeds. These illustrate the principle; they are not test data.

Energy and carbon

Estimate what a spiral retrofit could save.

Pick a preset, then set your own hours, motor size and power price. The energy reduction is an assumption you control. Confirm it for your site with a PAX engineering study before budgeting.

Annual energy cost savings$0
Electricity conserved0
CO₂ abated0
Ten-year savings$0
Fleet power0
Current use0
With PAX0

Energy is rated power × hours × motors at full load. CO₂ uses 0.386 kg per kWh, close to the recent US grid average. The ten-year figure holds today's price flat.

Work with PAX

Have a fan, pump or mixer that could run quieter on less power?

Tell us about the device and its duty point. We'll say plainly whether a streamlined geometry is likely to help.

Start an inquiry →
Optimizing natural flow

Innovative technology

Fans, mixers, pumps, turbines and propellers, and the hulls and fuselages that move through fluid, all fight the same losses: drag, wasted energy, noise and wear. PAX's Streamlining Principle borrows the geometry nature uses to move fluid and builds it into equipment.

Where the geometry comes from
Getty comp slot · nautilus shell cross section

“Conventional technology creates shapes to induce flow. PAX technology employs flow to create shapes.”

Most equipment is designed shape-first: draw a blade, then push fluid with it. PAX works the other way round. Fluids already prefer certain paths, the spirals seen in whirlpools, shells and growing plants. Design the surface along that path and the fluid stops fighting the machine.

The same idea applies whether the fluid is water in a reservoir, air in a server rack or coolant in a heat exchanger.

Stated benefits

What streamlining changes.

The three outcomes PAX designs for, as described on its technology page.

Increased efficiency

  • Less noise
  • Higher output
  • Lower power use

Optimized flow pattern

  • Reduced drag
  • Controlled thrust or flow direction
  • Low shear and cavitation

Lower build and upkeep cost

  • Less material
  • Smaller motor
  • Greater structural integrity
Interactive · Drag lab

Shape is most of the drag bill.

Drag force grows with the square of speed, so the power to push through fluid grows with its cube. The shape coefficient Cd multiplies all of it. Pick a shape and a fluid and watch how much of the flow it disturbs.

Drag coeff. Cd0.04
Drag force0 N
Power to overcome0 W
vs. flat plate−97%
Reynolds number (0.36 m body)–

F = ½ρv²CdA with a 0.1 m² frontal area and textbook coefficients (flat plate 1.28, sphere 0.47, streamlined body 0.04). The flow picture is a simplified potential-flow sketch with a modeled wake.

Research and development

From mathematics to a tested part.

Select a stage to see what happens in it.

PAX H2(O)

Water purification

PAX H2(O) is a distillation system that pairs basic thermodynamics with biomimetic design. It targets desalination first, with the aim of cutting both the capital and operating cost of clean water.

Awards and contracts
Getty comp slot · water pouring into a clear glass
No membranes

Nothing to foul, scale or replace.

No chemicals

No pretreatment dosing.

Any salinity

Brackish water, seawater or brine.

Unattended

Runs without an operator on site.

Start-stop

Follows intermittent renewable power.

Interactive · Salinity lab

Why salinity limits membranes but not distillation.

Reverse osmosis has to push water through a membrane against osmotic pressure, and that pressure rises with salt content. Past a point the pumps and membranes can't keep up. A thermal process boils water off the brine instead, so salinity barely changes the job.

BrackishSeawater 35Brine 70+150 g/L
RO pressure needed0 bar
RO membrane limit≈ 82 bar
PAX H2(O) pressure~ ambient
Osmotic pressure, feed0
At concentrate0
Reverse osmosisFeasible
PAX H2(O)Feasible

Simplified van 't Hoff estimate for sodium chloride (about 0.77 bar per g/L). The concentrate's salinity rises with recovery, and RO needs a 10% pressure margin above it. Real plants vary with temperature, membrane type and pretreatment.

Interactive · Distributed Water Resource

Local water and hydrogen, from local heat.

Energy and water are moving toward small local systems connected at the distribution level. PAX pairs its modular, low-temperature still with electrolyzers and renewable power. Select a stage to see its role.

Stage

Recognition and funding

Backed by the Navy and the Department of Energy.

PAX is demonstrating the system for the US Navy SBIR program and won the DOE Hydrogen Shot incubator prize.

Oct 2020

Navy SBIR Phase I

Low-temperature purification at any salinity, running on low-grade or solar-thermal heat.

May 2022

Navy SBIR Phase II

Water plus hydrogen for naval, logistics, microgrid and disaster-response settings.

Oct 2022

DOE Hydrogen Shot, Phase 1

One of nine Phase 1 winners of the incubator prize.

Apr 2024

DOE Hydrogen Shot, final phase

Winner of the final phase, with national-lab testing to follow.

PAX Water Technologies

Ensuring water quality

Treated water can go bad while it waits in storage tanks. PAX founded PAX Water Technologies to fix that with the PAX Water Mixer, whose Lily impeller blends fresh inflow through the whole tank.

PAX Water Mixer site ↗
Getty comp slot · elevated municipal water tank
Why stored water degrades

Three causes, one result.

In a thermally isolated top layer, water ages and can lose its disinfectant residual completely. That residual is often the last barrier against microbes and harmful bacteria.

01

Thermal stratification

Sun-warmed water floats on cooler inflow and stops mixing with it.

02

Underutilization

Tanks sized for peak demand turn over slowly the rest of the year.

03

Inlet and outlet layout

When inlet and outlet sit low, new water short-circuits past the upper volume.

Interactive · Tank simulator

Watch the top layer lose its chlorine.

A 1-D model of a storage tank fed from the bottom. Turn the mixer off and the warm top layer stops exchanging with the inflow, so its chlorine decays. Turn it on and the column stays uniform.

PAX mixer
Day0
Top residual1.00 mg/L
Top–bottom ΔT0.0 °C
Top water age0 d

Illustrative model: 24 layers, first-order chlorine decay of 0.15 per day, bottom inflow at 1.0 mg/L and 12 °C. Values below 0.2 mg/L are often treated as a low-residual warning.

10M galCirculatedwith about three 100-watt bulbs of energy
Most specifiedIn North Americaactive tank mixing solution
ThousandsMunicipal systemsin the US and abroad
2017Acquiredby UGSI Solutions
PAX Mixer

Industrial mixing

PAX Mixer designs rotary and static in-line mixers for agriculture, petroleum, pharmaceutical and beverage processing. The goal is lower energy and capital cost, very low shear, faster blending and higher yield.

Getty comp slot · stainless industrial mixing impeller
Interactive · Application explorer

Where low shear pays off.

Pick a process to see what it needs from a mixer and where a streamlined impeller helps.

Lower energy

Less motor power for the same blend.

Lower capital cost

Smaller drives and simpler builds.

Extremely low shear

Gentle on cells, crystals and emulsions.

Better yields

Shorter blend times and more uniform product.

Concept under exploration

Atmospheric de-stratification.

Smog in megacities costs residents and businesses, harms health and sometimes halts flights. A temperature inversion acts as a lid that traps it near the ground. PAX Mixer has modeled a low-carbon way to break that lid. This animation shows the idea, not a validated result.

Vortex mixing (concept)
Ground-level haze–
Venting through lid–

Traffic and industry keep adding smog (amber) at street level. The dashed band is the inversion lid: the stronger it is, the less leaks through, so haze builds. Turn on vortex mixing and a rising ring vortex draws ground air into a column and vents it above the lid, where it disperses (blue). Haze is shown relative to the model's capacity.

PAX Air

Fans and blowers

PAX Air applies patented PAX geometry to ordinary fan blades for appliances, refrigeration, HVAC, consumer products, computer cooling and transportation. The blades run quieter, need less energy or a smaller motor, and give more controllable flow at lower manufacturing cost.

Meet Flair
Getty comp slot · server rack cooling fans
22%Of world electricityused by fans, per PAX's figures
2–5Fans per desktop PCthe main source of its noise
12+Fans per serverin a typical rack unit
6Marketsappliance to transportation
Interactive · Fan affinity laws

Small efficiency gains, cubed.

For a given fan, flow scales with speed, pressure with speed squared and power with speed cubed. A blade that delivers the same airflow at a lower speed saves power out of proportion to the speed change, and noise drops with it.

50%conventional = 100%
Airflow ∝ N
Pressure ∝ N²
Power ∝ N³
Power saved0%
New fan power0 kW
Noise change0 dB
Per year, 24/70 kWh

Noise change uses the fan-law estimate of 50·log₁₀(speed ratio). The listening samples are synthesized noise at those relative levels for illustration; they are not recordings of PAX fans.

Consumer product · launched 2019

Flair. Save a billion tons.

Flair is a quiet, very efficient portable fan, designed with PAX's biomimetic geometry. In PAX's tests against leading competitors it used up to 85% less electricity than conventional fans of the same size.

Getty comp slot · calm living room, portable fan
Energy use, same-size fans

6 watts to circulate a whole room.

At about the power of a 6-watt LED bulb, Flair moves an average room's air as many times per hour as health guidance recommends. Very large rooms take under 28 watts.

Bars derived from PAX's stated comparisons: conventional fans use up to 85% more, and fans with premium motors about 50% more, than Flair's 6 W.

Interactive · Room destratification

Warm air rises. Flair brings it back.

Heating and cooling take nearly half a household's energy. In winter warm air pools at the ceiling while you sit in the cool layer. Flair's ring vortex turns the whole room over, so you can lower the thermostat; PAX estimates savings above 25% per room.

Flair on
Ceiling–
Floor–
Gradient–
At seat height–

Illustrative model of a 2.7 m room with a heat source near the ceiling (winter) or floor-level cool air (summer).

Interactive · Global CO₂

The billion-ton arithmetic.

PAX's reasoning: power plants emit about 33.1 billion tons of CO₂ a year (IEA). If fans use 22% of electricity, that share is about 7.3 billion tons. Improve the average fan by 20% and the savings pass a billion tons. Adjust the inputs to test it.

CO₂ avoided each year0
Fan-attributed CO₂0
Equivalent share of total0%

The 22% share is PAX's figure; other estimates put fans and pumps at different shares depending on scope. Sources on PAX's Flair page include ASHRAE Journal, REHVA, EPA and IEA.

800MPortable fansworldwide
200–240MIn US homesCPSC estimate
21MSold yearlyin the US (Census)
159MMade in Chinahousehold fans, 2013

Quiet on low

On low speed, you can't tell it's running. PAX treats fan noise as a symptom of wasted energy.

More velocity you can feel

In PAX's airflow tests Flair delivered noticeably higher air velocity than comparison fans.

Engineered with CFD

Optimized in airflow and sound test chambers and with supercomputer simulations. Additional test data is available from PAX.

Working with PAX

Nature-inspired solutions for better products

PAX works with client companies to develop and commercialize products through joint development and master licensing. PAX engineers also take on specific technical problems where its design methods can help, on short or long engagements.

Discuss a project
Getty comp slot · engineer reviewing a CFD simulation
Interactive · Engagement models

Three ways to work together.

Select a model to see how it typically runs from first call to product.

    Master licensees

    The model, proven three times.

    Each licensee took the geometry into a specific market.

    PAX Air

    Fans

    Industrial, domestic, computer and automotive fan markets.

    PAX Water Technologies

    Water and wastewater

    Tank mixing and water-quality management. Acquired by UGSI Solutions in 2017.

    PAX Mixer

    Industrial mixing

    Process mixing outside potable and wastewater, plus atmospheric mixing research.

    Inquiries to Francesca Bertone, Chief Operating Officerinfo@paxscientific.com
    Research and patents

    Intellectual property

    In-house and independent tests support the benefits of the Streamlining Principle. Work with Cascade Technologies at Stanford University confirmed the theory behind PAX's discoveries and measured substantial gains over conventional designs.

    Getty comp slot · fluid dynamics lab flume
    Interactive · Research network

    Tested beyond our own lab.

    Universities and research groups PAX has worked with. Select one to highlight it.

    Partner

      Patents

      A growing US and international portfolio.

      PAX holds numerous US and international patents and keeps filing new ones. Detailed technical information is shared under confidentiality agreements.

      1. Send a short description of your application through the inquiry form.
      2. PAX returns a mutual NDA.
      3. Once signed, you receive the relevant patents, test data and design notes.
      Start the NDA request →
      Since 1997

      A nature-inspired R&D firm

      PAX finds streamlined answers to friction and fluid problems in industry: better control of turbulence, less drag, quieter and more efficient equipment, and better heat transfer at lower pressure. Internal research covers heat transfer, refrigeration and pumps.

      Getty comp slot · spiral boat wake, aerial
      Interactive · Timeline

      Milestones.

      Use the arrow keys, the dots or the year buttons to move through PAX's history.

      A fascination with flow

      The Streamlining Principle

      Scientists, philosophers and artists have studied flow for centuries. Jay Harman asked a practical question: if fluids prefer certain paths, why not build equipment that follows them? His answer, the Streamlining Principle, turns nature's flow efficiencies into design geometry.

      Getty comp slot · whirlpool in water, top view

      PAX calls this biomimicry, a term popularized by author Janine Benyus: deliberately copying solutions that nature has already tested. Harman first applied it to boats, producing the award-winning Goggleboat and WildThing watercraft.

      He founded PAX Scientific in 1997 to bring the same efficiencies to fluid-handling equipment: fans, mixers, pumps, turbines and heat exchangers.

      Our mission

      Translate nature's efficiencies into technology, so every industry gets tools that use less energy and material and perform better.

      Interactive · Spiral explorer

      One curve, many growth rates.

      A logarithmic spiral, r = a·ebθ, keeps the same angle to its radius everywhere. Change b to tighten or open it. At b ≈ 0.306 it grows by the golden ratio every quarter turn.

      Quarter-turn guides
      Pitch angle0°
      Growth / 90°0
      Growth / turn0
      Golden match–
      Interactive · Phyllotaxis

      Why plants pick 137.5°.

      Sunflowers place each seed a fixed angle from the last. Only the golden angle packs them without gaps or spokes. Move the slider a fraction of a degree and the pattern breaks.

      The golden angle is 360° × (1 − 1/φ) ≈ 137.508°. Seeds are colored by order of growth.

      Management and advisors

      Leadership

      A founder-led company advised by leading voices in biomimicry, energy, economics and mathematics.

      Engineering team

      The team

      Mechanical, aeronautical, aerospace and electrical engineers work alongside client companies to develop PAX technology.

      Getty comp slot · engineers at an airflow test chamber
      People

      The people behind PAX.

      Founders, operators and advisors who carry the Streamlining Principle from the lab to the market.

      A PAX Scientific speaker on stage

      Mechanical

      Rotors, housings, drive trains and manufacturability.

      Aeronautical

      Blade and vane aerodynamics, wakes and noise.

      Aerospace

      High-fidelity CFD and structural simulation.

      Electrical

      Motors, controls and test instrumentation.

      Careers

      No openings right now.

      PAX offers competitive salaries and a full benefits package. Leave your details and we'll keep them on file for future roles.

      Prototype form: nothing is sent.
      News

      Press

      Releases, awards and features, newest first. Older coverage lives in the past press archive.

      Archive 2004–2016

      Past press

      Coverage of PAX in print, online, radio, television and film. Search by outlet, author or topic. Many older links point to sites that have since moved.

      HeadlineOutletType

      Contact

      Tell us what you need to move.

      Choose an engagement type and the form asks only for what that conversation needs.

      Business office

      P.O. Box 150840

      San Rafael, CA 94915-0840, USA

      Lab and deliveries

      Building 478

      UC Berkeley Richmond Field Station, Richmond, California

      Phone and email
      415-256-9900
      info@paxscientific.com
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