A simple numerical method for snowmelt simulation based on the equation of heat energy.

Water Sci Technol

Faculty of Civil Engineering, University of Belgrade, Bulevar Kralja Aleksandra, 73, 11000 Belgrade, Serbia.

Published: June 2016

AI Article Synopsis

  • This paper introduces a one-dimensional numerical model for simulating snowmelt and accumulation, utilizing the heat energy equation and assuming a homogeneous snow column whose properties change over time.
  • The model utilizes the implicit finite difference method to solve the heat energy equation, considering various energy inputs like conduction, convection, radiation, and raindrop energy.
  • The results from simulations at the Zlatibor meteorological station in Serbia show that this model provides more accurate predictions than the temperature index method, indicating its potential for improving hydrological predictions related to flooding.

Article Abstract

This paper presents one-dimensional numerical model for snowmelt/accumulation simulations, based on the equation of heat energy. It is assumed that the snow column is homogeneous at the current time step; however, its characteristics such as snow density and thermal conductivity are treated as functions of time. The equation of heat energy for snow column is solved using the implicit finite difference method. The incoming energy at the snow surface includes the following parts: conduction, convection, radiation and the raindrop energy. Along with the snow melting process, the model includes a model for snow accumulation. The Euler method for the numerical integration of the balance equation is utilized in the proposed model. The model applicability is demonstrated at the meteorological station Zlatibor, located in the western region of Serbia at 1,028 meters above sea level (m.a.s.l.) Simulation results of snowmelt/accumulation suggest that the proposed model achieved better agreement with observed data in comparison with the temperature index method. The proposed method may be utilized as part of a deterministic hydrological model in order to improve short and long term predictions of possible flood events.

Download full-text PDF

Source
http://dx.doi.org/10.2166/wst.2015.628DOI Listing

Publication Analysis

Top Keywords

equation heat
12
heat energy
12
energy snow
12
based equation
8
snow column
8
proposed model
8
model
7
snow
6
method
5
energy
5

Similar Publications

Study of Thermal Effects in Fused-Tapered Pure Passive Fibers and Signal Combiners.

Nanomaterials (Basel)

January 2025

School of Physics and Optoelectronic Engineering, Beijing University of Technology, Beijing 100124, China.

This paper investigates the thermal effects in fused-tapered passive optical fibers under near-infrared absorption. The thermal effect is primarily caused by impurities, such as OH-, which absorb incident light and generate heat. Using the finite element method, the volume changes during fiber tapering were simulated, influencing power density and thermal distribution.

View Article and Find Full Text PDF

Recently, ionic thermoelectric supercapacitors have gained attention because of their high open circuit voltages, even for ions that are redox inactive. As a source of open circuit voltage (electromotive force), an asymmetry in electric double layers developed by the adsorption of ions at the electrode surfaces kept at different temperatures has previously been proposed. As another source, the Eastman entropy of transfer, which is related to the Soret coefficient, has been considered.

View Article and Find Full Text PDF

The current investigation explores tri-hybrid mediated blood flow through a ciliary annular model, designed to emulate an endoscopic environment. The human circulatory system, driven by the metachronal ciliary waves, is examined in this study to understand how ternary nanoparticles influence wave-like flow dynamics in the presence of interfacial nanolayers. We also analyze the effect of an induced magnetic field on Ag-Cu-/blood flow within the annulus, focusing on thermal radiation, heat sources, buoyancy forces and ciliary motion.

View Article and Find Full Text PDF

This study focuses on numerical modeling of the oleogelation process using grape seed oil and beeswax and its validation using experimental approach. The main goal is to investigate how the cooling rate affects this process. The necessary physical and thermal properties of the oleogel for modeling were determined through experiments.

View Article and Find Full Text PDF

Revisions of the Phenomenological and Statistical Statements of the Second Law of Thermodynamics.

Entropy (Basel)

December 2024

Istituto Nazionale di Alta Matematica (INdAM), 00185 Rome, Italy.

The status of the Second Law of Thermodynamics, even in the 21st century, is not as certain as when Arthur Eddington wrote about it a hundred years ago. It is not only about the truth of this law, but rather about its strict and exhaustive formulation. In the previous article, it was shown that two of the three most famous thermodynamic formulations of the Second Law of Thermodynamics are non-exhaustive.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!