Research Article

Analytical Solutions of the Balance Equation for the Scalar Variance in One-Dimensional Turbulent Flows under Stationary Conditions

Figure 5

(a) Reference dimensional solution (but /s) with sensitivity analysis on the Lagrangian integral time scale, which is alternatively equal to 50 s (+), 75 s (×), 100 s (∗), 150 s (□), or 200 s (■)— is 8.694 μg2/m2, 18.90 μg2/m2, 32.507 μg2/m2, 68.66 μg2/m2, and 115 μg2/m2, respectively. (b) Reference dimensional solution (but /s) with sensitivity analysis on the scalar mean gradient, which is alternatively equal to 0 μg/m2 (+), 0.1765 μg/m2 (×), 0.353 μg/m2 (∗), 0.44125 μg/m2 (□), or 0.5295 μg/m2 (■)— is 0 μg2/m2, 8.127 μg2/m2, 32.507 μg2/m2, 50.79 μg2/m2, and 73.14 μg2/m2, respectively.
(a)
(b)