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Jenike Hopper Mass Flow Half-Angle Calculator engineering
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Jenike Hopper Mass Flow Half-Angle Calculator

Determine critical hopper wall half-angle ($\theta_c$) for guaranteed mass flow discharge using Dr. Andrew Jenike bulk solids powder flowability theory.

Powder Internal & Wall Friction

From Jenike shear cell test
Friction between powder and hopper liner
Standard practice: subtract 3° from limit

Hopper Slope & Flow Regime

Max Allowable Half-Angle (θ_c):
Hopper Wall Angle from Horiz:
Flow Pattern Regime:
Wedge Hopper Bonus:
Valley Angle (for Pyramidal):
Flow Factor (ff):

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Mass Flow vs Funnel Flow (Jenike Theory)

In bulk powder storage, hoppers operate in one of two distinct flow regimes:
Mass Flow: All material moves uniformly along the walls whenever any is withdrawn. Delivers First-In First-Out (FIFO) discharge, uniform density, and prevents caking, degradation, and segregation.
Funnel Flow: Material flows only down a central vertical channel while stagnant boundary zones remain dead along the walls. Prone to catastrophic ratholing, flooding, and particle segregation.

Wedge / Chisel Hopper Advantage

In conical hoppers, powder converges in two horizontal planes simultaneously (circumferential hoop compression), demanding steep wall slopes ($68^\circ$ to $75^\circ$ from horizontal). Wedge hoppers with slotted rectangular outlets converge in only one dimension, allowing walls to be $10^\circ$ to $12^\circ$ flatter while still achieving true mass flow.

Frequently Asked Questions