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. 2011 Jan 18;8(61):1155–1165. doi: 10.1098/rsif.2010.0578

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Figure 5. — Comparison between analytical and numerical solutions of the non-dimensional phloem flow problem. (a) Numerically computed velocity v (circles) as a function of position for Mü = 0, 1, 10, 100, = 0.3, = 1.3 and = 1.6. The analytical solutions for the velocity (solid lines) given in equations (A 11a–c), (A 15a,b) and (A 18) are shown for comparison. (b) Numerically computed concentration (circles) as a function of position for the same parameters as in (a). The analytical solutions for the concentration (solid lines) were found using the solutions for v given in equations (A 11a–c), (A 15a,b) and (A 18) and the conditions given in equations (A 6), (A 7) and (A 8a,b). Open circles, numerics; solid lines, analytics.

Inline graphic — Comparison between analytical and numerical solutions of the non-dimensional phloem flow problem. (a) Numerically computed velocity v (circles) as a function of position for Mü = 0, 1, 10, 100, = 0.3, = 1.3 and = 1.6. The analytical solutions for the velocity (solid lines) given in equations (A 11a–c), (A 15a,b) and (A 18) are shown for comparison. (b) Numerically computed concentration (circles) as a function of position for the same parameters as in (a). The analytical solutions for the concentration (solid lines) were found using the solutions for v given in equations (A 11a–c), (A 15a,b) and (A 18) and the conditions given in equations (A 6), (A 7) and (A 8a,b). Open circles, numerics; solid lines, analytics.