Estimation of the eddy thermal conductivity for lake Botonega
Keywords:thermal lake model, stratification, inverse model, finite element method
AbstractThis paper presents a part of a computer modelthat is suitable for limited temperature predictionand its application for Lake Botonega, which islocated in Istria, Croatia. The main assumption ofthis study is that the heat transfer can be describedby the eddy diffusivity model to formulate themodel of the heating and cooling of a lake using aseries of water and air temperature measurements.The coefficient of thermal diffusion, which is afunction of the lake depth, is determined using theinverse model of eddy thermal diffusivity. Theinverse model is linearized using the finite elementapproach. The model of lake thermal diffusivityconsists of a conductive part and a radiative part,with the latter part being replaced with the heatflux on the boundary. The model parameters arecalculated in two steps—a predictor step and acorrector step—and the coefficient of conduction iscalculated instead of the diffusion.The estimated parameters are intended forinclusion in a simple three-dimensional thermalmodel, which provides the lake temperatureprediction that is based on previous temperaturemeasurements, as demonstrated in the examples.
Engineering review uses the Creative Commons Attribution-NonCommercial-NoDerivatives (CC-BY-NC-ND) 4.0 International License, which governs the use, publishing and distribution of articles by authors, publishers and the wider general public.
The authors are allowed to post a digital file of the published article, or the link to the published article (Enginering Review web page) may be made publicly available on websites or repositories, such as the Author’s personal website, preprint servers, university networks or primary employer’s institutional websites, third party institutional or subject-based repositories, and conference websites that feature presentations by the Author(s) based on the published article, under the condition that the article is posted in its unaltered Engineering Review form, exclusively for non-commercial purposes.
The journal Engineering Review’s publishing procedure is performed in accordance with the publishing ethics statements, defined within the Publishing Ethics Resource Kit. The Ethics statement is available in the document Ethics Policies.