Mathematical Problems in Engineering

Research Article

On the Critical Behaviour of Exothermic Explosions in Class A Geometries

Table 4

Comparison of critical values obtained by different methods.
Exact methodVariational methodHermite-Padé approachPresent work
Slab 𝛿 c r = 0 . 8 7 8 4 6
𝜃 c r = 1 . 1 8 6 		𝛿 c r = 0 . 8 7 8 3 5 5
𝜃 c r = 1 . 1 6 7 1 6 		𝛿 c r = 0 . 8 7 8 4 5
𝜃 c r = 1 . 1 8 6 8 4 		𝛿 c r = 0 . 8 7 8 4 6
𝜃 c r = 1 . 1 8 6 8 4
Cylinder —
—		 𝛿 c r = 1 . 9 9 9 9 8
𝜃 c r = 1 . 3 8 0 1 1 9 7 		𝛿 c r = 2
𝜃 c r = 1 . 3 8 6 2 9 		𝛿 c r = 2
𝜃 c r = 1 . 3 8 6 2 8
Sphere—
—		 𝛿 c r = 3 . 3 2 1 9 9
𝜃 c r = 1 . 6 0 7 4 6 		—
—		 𝛿 c r = 3 . 3 2 3 2 4
𝜃 c r = 1 . 6 1 7 8 2