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Row# | Parameter | 2D Jet | Remarks |
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1 | Properties | Variable | For 2D, = constant and = constant. |
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2 | | for a parabolic profile | forces important. , where M is the axial momentum flux rate at the inlet |
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3 | | for a parabolic and parabolic profile | |
for a parabolic and flat profile |
for a flat and flat profile |
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4 | Stretched coordinate | = | For an ideal gas with a constant molecular weight |
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5 | Similarity Coordinate, η [11] | |
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6 | Modified Similarity variable, ξ | | |
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7 | Momentum equation in η and other solutions | |
= 1/2 Sech2ξ |
f = 3/21/3tanh ξ |
= ()}1/3 |
= 1/3 |
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8 | Species equation in ψ | + Sc + = 0 where | |
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9 | Axial velocity = / | = 0.4543 1/3 Sech2 = 0.4543 1/3 | |
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10 | Lateral velocity | = 0.55031/32 sech2 |
= 0 at = 0 and = 1.0887 |
= 0.5503 {(1/3/ |
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11a | Mixing layer thickness, , = 0.01 | = 10.8765 / | Note mix layer varies as for 2D jet |
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11b | Jet half-width, where = 1/2 | = 0.8814 = 3.203 , jet angle = tan−1 | |
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11c | Velocity contour | = 3.6337(×Sech−1 |
{1. |
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12 | Mass flow within or | tanh | Used for estimating the mass flow within for multiple burners |
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13 | Total mass flow |
1/3} | |
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14 | Height at which two adjacent mixing layers intersect | = 0.009856 | Burners are located apart |
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15a | Air entrained at | 3.3016 1/3 | |
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15b | Air entrained at = mixing layer intersection height | 0.70789 ()/2, | |
, | Buoyancy affects air entrained for 2D |
within interburner spacing/injected flow for which | |
15c | Air entrained at x = |
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16 | Species and non dimensional Shvab-Zeldovich,
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1/3/×Sech2 1/3
| for mixing, for species |
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17a | Height of Contours, | = 0.09375C 3, = 0.09375 | , for pure Methane in air = for combustion |
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18 | Maximum width of flame, | C/2 valid when is constant ) | |
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19 | Ratio of flame height and max width | / γ (valid when ρ is constant and ) | |
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20 | Distance at max width | , where, transcendental equation (valid when ρ is constant and ) | |
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21 | | = valid when ρ is constant and | |
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22 | Flame angle with axis, , at flame tip and location (Figure 4(b)) | tan 1/1.6512 ) where, |
tan |
tan = tan + |
Cosh−1/1/6Sc 1//(0.2752 |
and = for constant |
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23 | Lift-off Height, / | / S/ | Set = for blow-off; = lift-off height for , ignitable height for |
For = 1, ∞
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24 | Blow-off velocity | = / | |
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