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The designer of irrigation systems must consider a complex combination of emitter type, emitter uniformity, hydraulics, topography, desired water distribution, crop salt tolerance, water requirements, water quality, fertilizer injection, soil salinity, cultural practices, and other site-specific conditions. In contrast to the approaches applied for the hydraulic design of irrigation installations, there is not a clear, general and consolidated design criterion for calculating the number required emitters per plant. In most cases, given the wide spectrum of possible scenarios, only guideline recommendations can be found, and the final decision is often based on the subjective experience of the designer or grower. This paper aims at revising, clarifying and refining the existing published guidelines and methodologies for estimating the required emitters per plant in drip irrigation, focussing on the Montalvo approach. The agronomic design should satisfy, among others, two specific conditions: (i) the emitters should wet at least a minimum threshold of the soil area (or volume) corresponding to the plant for ensuring a proper development of the roots; (ii) overlapping between emitter bulbs is required for merging wetted volumes and avoiding salt concentration near the root zone. Relying on this basis, a thorough theoretical geometric analysis of the overlapping between wet bulbs of contiguous emitters is carried out. As a result, Montalvo's overlapping coefficients are deduced here. This author assumes an identical net wetted area for all emitters in the laterals, but it can be stated that the overlapping areas between emitters differ in extreme emitters and interior emitters, as well as in configurations with one lateral per plant row and two laterals per plant row. Therefore, this study proposes new formulations for the computation of the overlapping coefficient, which need to incorporate the number of emitters as an additional variable, as well as to distinguish between the presence of one or two laterals per plant row, and between grouped and non-grouped emitters. In one lateral per plant row, the original overlapping coefficient underestimates the net wetted area by one emitter and thus overestimates the theoretical number of required emitters. In the case of two laterals per plant row, the original overlapping coefficient overestimates the net wetted area in the interior emitters, and thus underestimates the theoretical number of required emitters per plant. The presented formulations are applied in different practical examples covering a wide range of scenarios. The results allow a general overview of the influence of the soil type, the emitter flow rate, and the selected overlapping ratio in the number of required emitters per plant. The revision of guidelines and methods presented here, complemented with other experimental results and models of soil water dynamics under drip irrigation, might contribute to a better decision making of designers and field engineers.
The challenges of food security are exacerbated by the world's expanding population and diminishing agricultural land. In response, hydroponic cultivation offers a potentially more sustainable approach to growing nutrient-dense crops compared to traditional methods. Motivated by this understanding, we conducted a series of experiments to explore the behavior of Brassica juncea (Pusa Jaikisan) plant roots under various flow configurations within a controlled environment. The flow configurations considered were no-flow/flow (NF/F), continuous flow, flow/no-flow (F/NF), and stagnation. Additionally, we conducted anatomical sectioning of plant roots to study how different flow configurations affect the cellular structure of the plant root cross section. We also performed numerical simulations to investigate the internal stress generated within plant roots under various flow conditions. We observed that an increased number of cortical cells developed in response to higher internal stress in the case of continuous flow, which protected the inner vascular bundle from excessive biological stress. Comparing the designs, we found that continuous flow resulted in a longer root length compared to the F/NF and NF/F configurations. The root length per unit average flow power was highest for the 2 h F/NF case, followed by the 2 h NF/F, 3 h F/NF, and continuous flow cases. This suggests that periodic flow conditions (F/NF and NF/F) with lower average power, a necessary requirement for economical use, led to longer root lengths. Furthermore, we observed that the nitrogen uptake per unit average flow power was higher for the F/NF configuration compared to continuous flow. Consequently, we infer that in hydroponic cultivation, altering the flow configuration to a F/NF type could be more cost-effective with less nutrient solution wastage, promoting better plant root growth compared to a continuous flow scenario.
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