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Questions and Answers
Is the given text describing a system of Nonlinear Partial Differential Equations (PDE)?
True
Is the classification of Fluid Flow mentioned in the text related to Fluid Dynamics?
True
Is Uniform Flow characterized by flow velocity 𝑽 that is the same magnitude and direction at every point in the flow?
True
Is it true that the given equations are mathematically classified as a system of Nonlinear Partial Differential Equations (PDE)?
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Are the equations mentioned in the text related to concentration conservation?
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Study Notes
Fluid Dynamics
- Fluid Dynamics is the study of fluid in motion.
- Force (F) is equal to mass (m) times acceleration (a): F = m*a
Physical Quantities of Flow
- Velocity (V) is a physical quantity of flow.
- Pressure (P) is a physical quantity of flow.
- Density (ρ) is a physical quantity of flow.
- Temperature (T) is a physical quantity of flow.
- Acceleration (a) is a physical quantity of flow.
Lagrangian and Eulerian Systems
- Lagrangian system: describes the fluid motion in terms of the fluid's position over time.
- Eulerian system: describes the fluid motion in terms of the fluid's velocity, pressure, density, temperature, and acceleration at a fixed point in space.
- The Eulerian system is often used in fluid dynamics.
Eulerian System
- Velocity (V) is a function of position (x, y, z) and time (t): V = V(x, y, z, t)
- Pressure (P) is a function of position (x, y, z) and time (t): P = P(x, y, z, t)
- Density (ρ) is a function of position (x, y, z) and time (t): ρ = ρ(x, y, z, t)
- Temperature (T) is a function of position (x, y, z) and time (t): T = T(x, y, z, t)
- Acceleration (a) is a function of position (x, y, z) and time (t): a = a(x, y, z, t)
Governing Equations of Fluid Flow
- The governing equations of fluid flow, heat and mass transfer are based on the following assumptions:
- Incompressible Newtonian fluid
- Two-dimensional and laminar flow
- Temperature-independent thermo-physical properties, except for density in the buoyancy force
- Negligible effects of radiation and viscous dissipation
- The governing equations include:
- Mass conservation equation: ∂u/∂x + ∂v/∂y = 0
- Momentum conservation equations in x and y directions
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Description
Test your knowledge of fluid dynamics basics with this quiz covering the study of fluid in motion, physical quantities of flow, and fundamental concepts from 'Fundamental of Fluid Mechanics' by B.R. Munson, D.F. Young and T.H. Okiishi.
