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API · /weber-api

Weber Number API

healthy 3,984 Subscribers

Surface-tension dimensionless numbers for droplets, sprays, atomization and two-phase flow as an API, computed locally and deterministically. The weber endpoint computes the Weber number We = ρ·v²·L/σ — the ratio of inertia to surface tension — and classifies the secondary-droplet-breakup regime (no breakup below We≈12, then bag, multimode, sheet-thinning and catastrophic breakup), the key number for atomization and spray formation. The capillary endpoint gives the Capillary number Ca = μ·v/σ, the ratio of viscous to surface-tension forces used in coating and microfluidics. The bond endpoint computes the Bond (Eötvös) number Bo = Δρ·g·L²/σ, gravity versus surface tension, which governs whether a drop stays spherical or is flattened by gravity. The ohnesorge endpoint gives the Ohnesorge number Oh = μ/√(ρ·σ·L) = √We/Re, viscosity versus inertia and surface tension, plus the inkjet printability number Z = 1/Oh whose sweet spot is roughly 1 < Z < 14. All quantities are SI: density kg/m³, velocity m/s, length m, surface tension N/m, viscosity Pa·s (water σ ≈ 0.0728 N/m at 20 °C). Everything is computed locally and deterministically, so it is instant and private. Ideal for microfluidics, inkjet, spray, atomization, coating, lab-on-a-chip and fluid-physics-education app developers, droplet-regime and printability tools, and research software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 4 endpoints. These are the dimensionless ratios; for capillary rise (Jurin) and Young-Laplace pressure use a capillary/surface-tension API.

#weber-number #surface-tension #atomization #microfluidics #ohnesorge #developer-tools
api.oanor.com/weber-api
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Machine-readable spec so AI agents can integrate this API.

/api/weber-api/openapi.json
/api/weber-api/llms.txt

Discovery: GET /api/index.json lists every API.

Weber Number API — live data on the oanor API marketplace

API health

healthy
Uptime
100.00%
Server probes · 24h
Avg latency
80 ms
Server probes · 24h
Subscribers
3,984
active
Total calls
95
last 7 days
status Full status page → · 15 probes/24h

Pricing

Pick a tier — billed monthly, cancel anytime.

Free

Free

  • 3,900 calls / month
  • 2 requests / second
  • Hard cap (429 above quota, no overage)
  • 3,900 calls/month
  • 2 req/sec
  • Weber + capillary + bond + ohnesorge
  • No credit card
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Starter

€6.50 /month

  • 37,000 calls / month
  • 6 requests / second
  • Hard cap (429 above quota, no overage)
  • 37,000 calls/month
  • 6 req/sec
  • Breakup regime, inkjet Z number
  • Email support
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Pro

€19.50 /month

  • 178,000 calls / month
  • 15 requests / second
  • Hard cap (429 above quota, no overage)
  • 178,000 calls/month
  • 15 req/sec
  • Atomization & microfluidics pipelines
  • Priority support
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Mega

€62.00 /month

  • 1,050,000 calls / month
  • 40 requests / second
  • Hard cap (429 above quota, no overage)
  • 1,050,000 calls/month
  • 40 req/sec
  • Platform scale
  • Dedicated SLA
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Surface-tension and small-scale fluid-physics maths as an API, computed locally and deterministically. The capillary-rise endpoint applies Jurin's law, h = 2γ·cosθ / (ρ·g·r), to give the height a liquid climbs (or, for a contact angle above 90° like mercury, is depressed) in a narrow tube from its surface tension, the tube radius, the liquid density and the contact angle — and can solve the surface tension back from a measured rise. The laplace-pressure endpoint computes the Young-Laplace excess pressure across a curved interface: a liquid droplet ΔP = 2γ/r, a soap bubble ΔP = 4γ/r (two surfaces) and a cylindrical jet ΔP = γ/r. The poiseuille endpoint applies the Hagen-Poiseuille law, Q = π·r⁴·ΔP / (8·μ·L), for laminar flow in a pipe, returning the volumetric flow rate, the average velocity and the peak centreline velocity (twice the average) from the radius, the pressure drop, the fluid viscosity and the length. Surface tension is in N/m, lengths in m, density in kg/m³, viscosity in Pa·s and pressures in Pa; water is γ ≈ 0.0728 N/m at 20 °C. Everything is computed locally and deterministically, so it is instant and private. Ideal for microfluidics, fluid-engineering, lab-on-a-chip, inkjet and coating app developers, capillary-action and wicking tools, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is surface tension and capillarity; for incompressible Bernoulli flow use a Bernoulli API and for pipe friction a Darcy API.

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The open music-metadata database as an API — artists, release-groups (albums), releases, recordings and labels, identified by stable MusicBrainz IDs (MBIDs), returned as clean JSON. Search any entity by name or Lucene query; look up an artist with their external links and tags, an album, a release with its full track list, a recording with its ISRCs, or a label; and browse an artist's complete discography. Live data with MBIDs, disambiguations, types, countries, life spans, ISRCs, barcodes, catalogue numbers and relations — the canonical identifiers that link and de-duplicate music data across services. Ideal for metadata enrichment and matching, music catalogues, tagging and library tools, and research. 11 data endpoints. Authenticated with an x-oanor-key; fair-use rate limits per plan.

api.oanor.com/musicbrainz-api

Frequently asked questions

Quick answers about pricing, quotas, and integration.

How do I get an API key for Weber Number API?
Sign up for free at oanor.com, generate an API key from the developer dashboard, and call Weber Number API with the x-oanor-key header. No credit card needed for the free tier.
What's the rate limit for Weber Number API?
Free tier allows 1 request per second. Paid plans scale up to 50 requests per second on the Mega tier. Hard limits return HTTP 429 above the quota — no surprise overage charges.
How much does Weber Number API cost?
Weber Number API has a free tier with 100 calls / month. Paid plans start at €6.50 / month with higher quotas and faster rate limits.
Can I cancel my subscription anytime?
Yes. Plans are billed monthly and you can cancel anytime from your billing dashboard. No long-term contracts and no cancellation fee.
Is Weber Number API GDPR-compliant?
All requests to Weber Number API go through our EU-based gateway. Your upstream API key never leaves our server and no personal data is shared with the upstream provider beyond the request you send.

Pick an endpoint from the list on the left to see its details and try it.

Code snippets

Sign up to get an API key, then call any path under your slug.

curl https://api.oanor.com/weber-api/SOME_PATH \
  -H "x-oanor-key: oanor_test_..."
const res = await fetch("https://api.oanor.com/weber-api/SOME_PATH", {
  headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();
$ch = curl_init("https://api.oanor.com/weber-api/SOME_PATH");
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
$response = curl_exec($ch);
import requests
r = requests.get(
    "https://api.oanor.com/weber-api/SOME_PATH",
    headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())

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