Hydraulics/Fluid Mechanics a.y. 2020-2021
CONSERVATION LAWS IN FLUID MECHANICS:
NAVIER-STOKES EQUATIONS
Prof. Stefania Espa
DICEA-SAPIENZA UNIVERSITY OF ROME
CIVIL AND INDUSTRIAL ENGINEERING
BATCHELOR IN SUSTAINABLE BUILDING ENGINEERING
RIETI
All images uploaded are for educational purposes
, CONSERVATION LAWS: Introduction
Fluid mechanics is based on the conservation laws for mass, momentum, and
energy. These laws can be written in two forms:
the differential form applicable at a point
&
the integral form applicable to an extended region.
The objectives of this section will be:
• Definition of system, control volume and material volume; Reynolds
transport theorem
• Derivation of differential (local) and integral (global) derivation of the
conservation of mass, momentum and energy
• Euler equation (inviscid flows)
• Constitutive laws for Newtonian fluids
• Navier-Stokes equations
CONSERVATION LAWS IN FLUID MECHANICS:
NAVIER-STOKES EQUATIONS
Prof. Stefania Espa
DICEA-SAPIENZA UNIVERSITY OF ROME
CIVIL AND INDUSTRIAL ENGINEERING
BATCHELOR IN SUSTAINABLE BUILDING ENGINEERING
RIETI
All images uploaded are for educational purposes
, CONSERVATION LAWS: Introduction
Fluid mechanics is based on the conservation laws for mass, momentum, and
energy. These laws can be written in two forms:
the differential form applicable at a point
&
the integral form applicable to an extended region.
The objectives of this section will be:
• Definition of system, control volume and material volume; Reynolds
transport theorem
• Derivation of differential (local) and integral (global) derivation of the
conservation of mass, momentum and energy
• Euler equation (inviscid flows)
• Constitutive laws for Newtonian fluids
• Navier-Stokes equations
