Use of Misbach's Non-Darcy Equation in the Design of Ditch Drainage systems
Bibliographic record
Abstract
The linear relationship between flow velocity and hydraulic gradient given by Darcy's law is restricted to a limited range of Reynolds number and flow velocity. Due to the absence of a single equation satisfying the flow phenomenon in the pre-linear, linear and postlinear zones of flow through porous media, the Misbach's empirical equation [I = aVm, m>I] for post-linear zone is used for the development of open surface drain spacing model in the present study. A homogeneous differential equation was formulated employing steady state equilibrium concept of flow to ditch drains separated by a distance (S). The drains are excavated closer to the depth of impermeable layer, The analytical solution of the developed differential equation was obtained by substituting the boundary conditions in non-dimensional form to get the equations of the phreatic surface and ditch drain spacing. The equations were analyzed with different combinations of assumed recharge rate, hydraulic conductivity (the coefficient "a" is inverse of hydraulic conductivity) and the exponent "m" of Misbach 's Equation. It was observed that the spacing obtained using Misbach's non-Darcy equation is always more than that obtained with Hooghoudt's drain spacing formulae, Therefore, use of Darcy's equation for design of ditch drains in sandy and sandy loam soils under post linear flow regime may lead to higher construction costs of the drainage system. The phreatic curve using Misbach's non-Darcy equation lies above the phreatic curve obtained using Hooghoudt's equation. The position of the phreatic curve plotted using non-Darcian equation indicates higher drain spacing and efficient disposal of gravitational water.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".