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Stream Function

Stream Function

In two-dimensional incompressible fluid flow, the continuity equation is essential for ensuring mass conservation, meaning that any change in fluid entering or exiting a region is balanced by a corresponding change elsewhere. For incompressible flow, where density remains constant, this requirement simplifies to the condition that the divergence of the velocity field must be zero. Mathematically, this is expressed as,

Steady Flow of a Fluid Stream

Steady Flow of a Fluid Stream

Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...

Body Temperature

Body Temperature

The body's temperature, measured in degrees, is determined by the balance between heat production and dissipation to the surrounding environment. For instance, if exercising vigorously, the body will produce more heat, causing sweat and dissipating that heat. Despite extreme environmental conditions and physical exertion, the human temperature-control system maintains a constant core body temperature (the temperature of deep tissues, which are the tissues located beneath the skin and other...

Body Temperature

Body Temperature

Body temperature reflects the equilibrium between heat production and heat loss within the body. Most heat is generated by metabolically active tissues, particularly the liver, heart, brain, kidneys, and endocrine organs. At rest, skeletal muscles contribute 20–30% of total heat production, but during vigorous exercise, this can increase up to 30–40 times.
The average body temperature is approximately 37°C (98.6°F) and typically ranges from 36.1–37.2°C...

Effects of Temperature on Free Energy

Effects of Temperature on Free Energy

The spontaneity of a process depends upon the temperature of the system. Phase transitions, for example, will proceed spontaneously in one direction or the other depending upon the temperature of the substance in question. Likewise, some chemical reactions can also exhibit temperature-dependent spontaneities. To illustrate this concept, the equation relating free energy change to the enthalpy and entropy changes for the process is considered:

Factors Affecting Body Temperature

Factors Affecting Body Temperature

As a nurse, it is vital to understand the factors affecting body temperature to monitor variations and effectively evaluate deviations from regular.
Factors may include:

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Related Experiment Video

Updated: Jan 31, 2026

The C-seal: A Biofragmentable Drain Protecting the Stapled Colorectal Anastomosis from Leakage

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Published on: November 4, 2010

Meltwater temperature in streams draining Alpine glaciers.

R J Williamson¹, N S Entwistle², D N Collins²

¹Mellor Archaeological Trust, Stockport SK6, UK.

The Science of the Total Environment

|December 25, 2018

Summary

Climate change affects glacier-fed rivers, with some showing paradoxical summer cooling. Stream dimensions, not just glacier cover, are key to understanding river water temperature changes.

Keywords:

Climate change Findelen Glacier hydrology Glacierisation River temperature Thermal regime

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Last Updated: Jan 31, 2026

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Published on: November 4, 2010

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems

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Published on: July 30, 2019

Evaluating the Impact of Hydraulic Fracturing on Streams using Microbial Molecular Signatures

Evaluating the Impact of Hydraulic Fracturing on Streams using Microbial Molecular Signatures

Published on: April 4, 2021

Area of Science:

Environmental Science
Hydrology
Climatology

Background:

Climate change significantly impacts lotic environments, altering hydrology, biodiversity, and species distribution.
High-elevation ecosystems, particularly glacier-fed rivers in Alpine regions, are highly vulnerable to climate change.
Changes in glacier meltwater influence river water temperature, posing risks to aquatic life.

Purpose of the Study:

To assess the impact of basin characteristics on river water temperature in glacier-fed rivers.
To investigate the occurrence of a summer cooling effect in Alpine glacier-fed rivers.
To determine the primary factors influencing water temperature in these sensitive environments.

Main Methods:

Comparative analysis of five Swiss rivers: four glacier-fed and one ice-free catchment.
Monitoring of river water temperature in relation to basin characteristics and climatic factors.
Statistical assessment of the relationship between glacier cover, stream dimensions, and water temperature.

Main Results:

A paradoxical summer cooling effect was observed in some glacier-fed rivers, contrary to expectations during peak solar radiation and air temperatures.
This summer cooling effect was not consistently present across all studied glacier-fed rivers, irrespective of glacierization percentage.
Stream dimensions, particularly stream surface area, were found to be more influential on water temperature than percentage glacier cover.

Conclusions:

River water temperature in glacier-fed systems is complex and influenced by factors beyond glacier cover.
Stream morphology plays a critical role in regulating water temperature, impacting the summer cooling phenomenon.
Understanding these controls is vital for predicting climate change impacts on downstream fisheries and developing mitigation strategies.