Skip to main content
Glama

Granular Screen

granular_screen
Read-only

Compute closed-form estimates for granular packing fraction, hopper discharge rate, and repose angle, each with a confidence band.

Instructions

Closed-form granular/powder-mechanics oracles — banded correlations, NO external solver (the FreeCAD-free analytic twins the YADE DEM solve is gated against). These are correlations, not exact theory, so each returns fidelity='correlation' + an honest [low, high] band; the band IS the oracle. Dispatch on problem:

'packing' (regime='random_close'|'random_loose'|'fcc'[, coordination]) — monodisperse sphere solid-volume fraction φ. RCP ≈ 0.637 (band 0.60–0.66), the random pile a real settle must hit, well below the crystalline FCC/HCP 0.7405. 'beverloo' (outlet_m, particle_d_m[, bulk_density_kg_m3 | material]) — flat-bottom hopper discharge W = C·ρ·√g·(D−k·d)^2.5 [kg/s]; flow ∝ outlet to the 2.5 power, independent of fill height. 'beverloo_exponent' (outlet1_m, flow1_kg_s, outlet2_m, flow2_kg_s [, particle_d_m]) — recover the log-log flow exponent from two (outlet, flow) points; granular 2.5 (band 2.2–2.8) vs Torricelli 2.0. 'repose' (friction_coeff[, saturation]) — poured-pile repose angle θ ≈ atan(μ) + ±25% band. 'repose_monotone' (mu_low, repose_low_deg, mu_high, repose_high_deg) — the steeper-with-friction monotonicity gate.

SI units (m, kg/m³, kg/s, degrees). Escalate to dem_pack_submit / dem_flow_submit (the real YADE solve) for polydisperse mixes, non-spherical grains, cohesion, or geometry this monodisperse idealization can't see.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
mu_lowNo
regimeNorandom_close
mu_highNo
problemNopacking
materialNo
outlet_mNo
outlet1_mNo
outlet2_mNo
flow1_kg_sNo
flow2_kg_sNo
saturationNo
coordinationNo
particle_d_mNo
friction_coeffNo
repose_low_degNo
repose_high_degNo
bulk_density_kg_m3No

Schema Changelog

Changes observed during successful MCP inspections.

  1. First observed

TDQS

A5/5.0
Behavior5/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations declare readOnlyHint=true and openWorldHint=false, but the description goes further by disclosing that each result includes fidelity='correlation' and an honest [low, high] band, that the band IS the oracle, and that these are not exact solutions. It also clarifies the idealized monodisperse scope and the lack of an external solver.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

Despite being long, the description is tightly packed: it front-loads the core nature ('Closed-form granular/powder-mechanics oracles'), then uses a clear dispatch structure for each mode. Every sentence contributes either semantics, units, formulas, or escalation guidance, so the length is justified by the tool's complexity.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness5/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With 17 parameters, no output schema, and minimal annotations, this description provides a remarkably complete picture: modes, formulas, parameter requirements, bands, units, and escalation path. It even states the return convention (fidelity and a low/high band), making the tool callable with little ambiguity.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters5/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 0%, so the description carries the full burden, and it succeeds. It maps each `problem` dispatch to the relevant parameters, gives formulas, units, and example values (e.g., RCP ≈ 0.637, FCC/HCP 0.7405), and explains what each mode computes. This is essential value beyond the bare schema.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description states a specific purpose: closed-form granular/powder-mechanics correlations with banded uncertainty estimates. It clearly distinguishes itself from the DEM/YADE solvers by naming the analytic twin nature and listing exact dispatch modes ('packing', 'beverloo', 'beverloo_exponent', 'repose', 'repose_monotone').

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines5/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

It explicitly tells the agent when to use this tool versus alternatives: 'Escalate to dem_pack_submit / dem_flow_submit (the real YADE solve) for polydisperse mixes, non-spherical grains, cohesion, or geometry this monodisperse idealization can't see.' It also explains that this is a screening/correlation tool, not exact theory.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

Deploy Server

Other Tools