Math & Numbers
Reynolds Number Calculator (Re=ρvD/μ, Laminar/Transitional/Turbulent)
Compute the Reynolds number Re = ρ·v·D/μ (dynamic viscosity) or Re = v·D/ν (kinematic viscosity, ν = μ/ρ) and classify the flow regime: Re < 2300 laminar, 2300 ≤ Re < 4000 transitional, Re ≥ 4000 turbulent. Diameter accepted in m/cm/mm. In dynamic mode the kinematic viscosity ν = μ/ρ is also returned. For internal pipe flow and general fluid-mechanics regime analysis.
Quick start
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/reynolds-number-calculator' \
-H 'Content-Type: application/json' \
-d '{"solveFor":"dynamic","density":1000,"velocity":2,"diameter":0.05,"diameterUnit":"m","dynamicViscosity":0.001,"kinematicViscosity":0,"decimalPlaces":4}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
POST https://api.elysiatools.com/en/api/tools/reynolds-number-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| solveFor | select | No | Dynamic mode takes ρ, v, D, μ and also computes ν = μ/ρ. Kinematic mode takes v, D, ν directly. |
| density | number | No | Fluid density ρ (kg/m³). Required when Solve For = Dynamic. |
| velocity | number | Yes | Mean flow velocity v (m/s). |
| diameter | number | Yes | Characteristic length / hydraulic diameter D, in the selected Diameter Unit. |
| diameterUnit | select |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
{
"mcpServers": {
"elysiatools-reynolds-number-calculator": {
"name": "reynolds-number-calculator",
"description": "Compute the Reynolds number Re = ρ·v·D/μ (dynamic viscosity) or Re = v·D/ν (kinematic viscosity, ν = μ/ρ) and classify the flow regime: Re < 2300 laminar, 2300 ≤ Re < 4000 transitional, Re ≥ 4000 turbulent. Diameter accepted in m/cm/mm. In dynamic mode the kinematic viscosity ν = μ/ρ is also returned. For internal pipe flow and general fluid-mechanics regime analysis.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=reynolds-number-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "reynolds-number-calculator",
"arguments": {
"solveFor": "dynamic",
"density": 1000,
"velocity": 2,
"diameter": 0.05,
"diameterUnit": "m",
"dynamicViscosity": 0.001,
"kinematicViscosity": 0,
"decimalPlaces": 4
}
}
}