Lecture

Fluid Mechanics: Control Volume Approach and Energy Conservation

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Description

This lecture covers the control volume approach in fluid mechanics, focusing on the Reynolds transport theorem and its application to mass, momentum, and energy conservation. The instructor begins by recapping the fundamental laws of physics necessary for Eulerian descriptions of fluid flow. The lecture details how to convert Lagrangian laws into Eulerian laws using the Reynolds transport theorem, leading to the continuity equation for mass conservation. The instructor then discusses Newton's second law in the context of a control volume, explaining how the rate of change of linear momentum relates to external forces. The first law of thermodynamics is also addressed, emphasizing the relationship between energy conservation and the Bernoulli equation. The instructor illustrates these concepts with examples, including the use of hydropower plants for energy storage. The lecture concludes with a discussion on the importance of understanding the fundamental laws of physics and making appropriate assumptions when analyzing fluid systems.

Official source

Ontological neighbourhood

Physics

Mechanics: Fluid mechanics

Related concepts (32)

Fluid dynamics

In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including aerodynamics (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation.

Fluid mechanics

Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical, and biomedical engineering, as well as geophysics, oceanography, meteorology, astrophysics, and biology. It can be divided into fluid statics, the study of fluids at rest; and fluid dynamics, the study of the effect of forces on fluid motion.

Conservation of mass

In physics and chemistry, the law of conservation of mass or principle of mass conservation states that for any system closed to all transfers of matter and energy, the mass of the system must remain constant over time, as the system's mass cannot change, so the quantity can neither be added nor be removed. Therefore, the quantity of mass is conserved over time. The law implies that mass can neither be created nor destroyed, although it may be rearranged in space, or the entities associated with it may be changed in form.

Conservation law

In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves over time. Exact conservation laws include conservation of mass-energy, conservation of linear momentum, conservation of angular momentum, and conservation of electric charge. There are also many approximate conservation laws, which apply to such quantities as mass, parity, lepton number, baryon number, strangeness, hypercharge, etc.

Engineering

Engineering is the practice of using natural science, mathematics, and the engineering design process to solve problems, increase efficiency and productivity, and improve systems. Modern engineering comprises many subfields which include designing and creating infrastructure, machinery, vehicles, electronics, materials, and energy. The discipline of engineering encompasses a broad range of more specialized fields of engineering, each with a more specific emphasis on particular areas of applied mathematics, applied science, and types of application.

Related lectures (64)

Energy Conservation: The First Law of Thermodynamics

Covers the first law of thermodynamics, focusing on energy conservation and its implications in fluid dynamics.

Fluid Kinematics and Control Volume Analysis

Discusses fluid kinematics and the control volume approach using the Reynolds Transport Theorem.

Fluid Mechanics: Control Volume Approach

Introduces powerful tools for analyzing fluid mechanics problems, emphasizing mass conservation, Newton's second law, and the continuity equation.

Fluid Mechanics: Control Volume Approach and Applications

Discusses the control volume approach in fluid mechanics, focusing on mass and momentum conservation principles and their applications in real-world scenarios like jet engine thrust.

Energy Conservation in Fluid Flows