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Rheology and complex fluids

Rotational Rheometer Geometry: Cone, Plate and Cylinder Need Their Own Rate Model

Use the geometry-specific motion-to-rate model before treating equal rotor speed as equal shear rate in different rheometer fixtures.

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Use the geometry-specific motion-to-rate model before treating equal rotor speed as equal shear rate in different rheometer fixtures.

Identify the Deformation and Model

Brookfield’s primary manual distinguishes cone/plate and plate/plate rate factors, with plate/plate conversion depending on radius and gap. Rotor motion does not carry one universal shear-rate factor. Primary reference: geometry-dependent rate conversion.

Review a Hypothetical Comparison

For a hypothetical parallel-plate local model, rate is angular speed times radius divided by gap. At 1 rad/s, radius 0.010 m and gap 0.001 m give 10 per second at that radius. At radius 0.005 m the value is 5 per second. This spatial variation differs from the ideal small-angle cone model’s approximately uniform rate.

Keep the Evidence with the Decision

Record whether a plotted plate value is an edge rate, local rate or another reported convention. Keep radius, gap and angular-speed units with the calculation. For cone or cylinder results, request the applicable geometry relation and its assumptions, including truncation or narrow-gap approximations where relevant. Do not move a factor from one named fixture into another solely because RPM agrees.

The local calculation establishes no accepted geometry, maximum rate or material viscosity. Nonuniform rate also needs a suitable stress/viscosity interpretation rather than an arbitrary averaging rule. The useful output is a conversion-basis record for the actual report supplied to the equipment team. These invented dimensions are laboratory teaching inputs and specify no HM rotor or product-path clearance.

Which geometry-dependent shear-rate definition supports the comparison?

This blank worksheet is for your own project. It contains no H M machine trial result.

Which geometry-dependent shear-rate definition supports the comparison?
Review fieldReference or resultResponsible person
Fixture dimensions and gap definitionTo completeTo complete
Motion units and rate relationTo completeTo complete
Local/edge/reported rate conventionTo completeTo complete
Material/model and correction assumptionsTo completeTo complete

Customer Questions

Does equal rotor speed guarantee equal shear rate?

No. Geometry and reporting basis matter.

What is the fictional outer local rate?

10 per second at the stated radius.

Can the plate factor be copied to a cylinder?

No. Use the applicable geometry relation.

Primary References

These references support the technical principles discussed in this guide. The worked examples and review questions are educational.

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