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    • Streamlines: Line everywhere tangent to velocity (Eulerian) (No velocity exists perpendicular to the streamline!) Streaklines: instantaneous loci of all fluid particles that pass through a given point xo. Parti… See more

    II. Governing Laws

    The governing laws of fluid motion can be derived using a control volume approach. This is … See more

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    Conservation of Mass:

    Basic fluid mechanics laws dictate that mass is conserved within a control volume for constant density fluids. Thus the total mass entering the control volume must equal the t… See more

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  2. The basic principles of fluid dynamics include12:
    • Conservation of mass: The total mass of a fluid remains constant.
    • Conservation of linear momentum: The rate of change of momentum is equal to the net force acting on the fluid.
    • Conservation of energy (First Law of Thermodynamics): The total energy of a fluid is conserved.
    • Laminar flow: Smooth, orderly flow with parallel layers.
    • Turbulent flow: Chaotic, irregular flow.
    • Continuity equation: Describes the conservation of mass in a fluid.
    • Bernoulli's equation: Relates pressure, velocity, and elevation in a fluid.
    Learn more:
    The foundational axioms of fluid dynamics are the conservation laws, specifically, conservation of mass, conservation of linear momentum, and conservation of energy (also known as the First Law of Thermodynamics). These are based on classical mechanics and are modified in quantum mechanics and general relativity.
    en.wikipedia.org/wiki/Fluid_dynamics
    The most important concepts in fluid dynamics are laminar flow and turbulent flow, and relationships like the continuity equation and Bernoulli's equation.
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    May 27, 2024 · At the heart of fluid dynamics are several key principles: Continuity Equation: This principle states that the mass of a fluid remains constant as it flows. It’s mathematically represented as dρ/dt + ρ (∇·v) = 0, where ρ is …

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