Critical Diameter Test

Test Details

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Test Purpose

This test is used to determine the critical diameter at which a shock initiation propagates through the sample confined within the pipe or process piece of equipment. In this test, a shock initiator is placed at the top of a pipe assembly filled with the test material. Pipes of varying diameters (with length of at least L/D = 4) are used to contain the test material. The test is performed by selecting a test diameter and completing three trials. A “+” reaction is one in which the witness place is shattered or holed. The test is concluded at each diameter by running a minimum of three successive trials which produce a “-” result at a diameter below a level which produces a positive reaction. This level is referred to as the critical diameter.

Example in-process applications where the goal is to operate under the critical diameter include nitroglycerin piping systems and rocket motors.

Special Instructions

Special Instructions Details
Definition of Critical Diameter The critical diameter is the diameter that produces three negative results with at least one positive result (explosion) at the next higher increment.
Typical test methodology The diameter of the test material is incremented until the critical diameter is determined (see definition above).
Application to process equipment The critical diameter can be used in equipment design and to assess the explosion potential of existing process equipment. For example, if a substance in facility piping exceeds its critical diameter, the entire system will likely detonate if initiated, producing blast overpressure and fragments that may result in the loss of life.

Key Parameters

Key Parameter Objectives Origin Specs
Booster Provide a strong, repeatable, stable shock front to the top of the sample 1:1 L/D (cylindrical or conical) allows basic point source initiation in the center to expand hemispherically, outputting a relatively planar 200+ kbar shock (maximum strength); actual value is 280 kbar. A conical shape can produce the same effect but uses 1/3 the explosive. Composition C-4 or equivalent (e.g. Composition B), 2:1 L/D plus 1 in for the detonator; cylindrical boosters for samples under 4 inches in diameter and conical boosters for diameters 4 inches or greater.
Substance diameter and length Sufficient length to permit stabilization or decay of the shock front in the propellant; sufficient diameter to identify in-process substances susceptible to detonation Length – 3:1 L/D is required to run beyond any effects of the booster (established by testing in the 1950’s and 1960’s); 4:1 L/D is industry standard for critical diameter tests, enabling discernment of the shock wave generated by the propellant. 4:1 L/D minimum
Confining medium Provide confinement, increasing the susceptibility of the substance to detonation Testing has demonstrated that confinement effectively lowers the critical diameter of the substance, increasing its susceptibility to detonation. For example, a confined test of 1.5-in ID could produce the same response as an unconfined 2.9-in ID. Schedule 40 carbon steel (A53 Grade B) pipe of various diameters
Spacer Separate the steel tube from the witness plate MIL-STD-1751A Method 1041: The small stand-off (0.063-inch gap) between the acceptor and the witness plate was introduced
to prevent the witness plate from shattering and thereby facilitate interpretation of test results.
1.6 ± 0.2mm (1/16-in) thick
Witness plate specifications Evidence of reaction type MIL-STD-1751A Method 1041: Some laboratories prefer to use witness plates with larger length and width, e.g., 9″ square, to reduce the likelihood of shattering the witness plate. This is an acceptable variation. Mild steel (e.g. SAE 1010 – 1026) witness plate large enough to completely overlap the sample base with thickness of 0.375 in.
Substance density Determine whether the substance in its in-process form is sensitive to the test stimulus Substance to be tested as near as possible to the in-process density
Number of trials Sufficient to give a reasonable level of confidence in the reproducibility of the test results 3 trials

Indicators

Indicators Detection Method Assessment
Damage to the witness plate Visual post-test inspection Hole in the witness plate: [IP Division 1.1 if in an in-process diameter greater than the critical diameter]

Example Photo of Witness Plate Not Holed (-)

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Example Photo of Holed Witness Plate (+)

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Example Video of Witness Plate Not Holed (-)

Example Video of Witness Plate Holed (+)