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Related Concept Videos

Pressure of Fluids01:14

Pressure of Fluids

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There are many examples of pressure in fluids in everyday life, such as in relation to blood (high or low blood pressure) and in relation to weather (high- and low-pressure weather systems). A given force can have a significantly different effect, depending on the area over which the force is exerted. For instance, a force applied to an area of 1 mm2 has a pressure that is 100 times greater than the same force applied to an area of 1 cm2. That's why a sharp needle is able to poke through...
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Accelerating Fluids01:17

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When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
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Pressure Variation in a Fluid at Rest01:11

Pressure Variation in a Fluid at Rest

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In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
When measuring pressure at two different levels within the fluid, the difference in...
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Fluid Pressure01:14

Fluid Pressure

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In mechanical engineering, fluid pressure plays a critical role in designing systems that utilize liquid flow, such as hydraulic systems, pumps, and valves. When designing these systems, engineers must ensure they can withstand the forces created by fluid pressure to avoid damage or failure.
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Fluid Pressure over Curved Plate of Constant Width01:12

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When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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Viscosity of Fluid01:19

Viscosity of Fluid

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Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
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Fast Imaging Technique to Study Drop Impact Dynamics of Non-Newtonian Fluids
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Impulse Fluid Simulation.

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    Summary
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    We developed a novel incompressible Navier-Stokes solver using an impulse gauge transformation. This new fluid dynamics simulation method accurately captures vortical flow details and surface tension effects.

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    Area of Science:

    • Computational Fluid Dynamics
    • Fluid Mechanics
    • Numerical Analysis

    Background:

    • The Navier-Stokes equations are fundamental to fluid dynamics but challenging to solve for incompressible flows.
    • Existing methods often struggle with accurately simulating vortical structures and surface tension effects.

    Purpose of the Study:

    • To introduce a new incompressible Navier-Stokes solver based on the impulse gauge transformation.
    • To develop a numerical method that accurately captures vortical flow details and surface tension effects.
    • To provide a framework for controlling turbulent effects in fluid simulations.

    Main Methods:

    • Utilizing an impulse-velocity formulation of Navier-Stokes equations, evolving fluid impulse as an auxiliary variable.
    • Solving impulse-form equations numerically on a Cartesian grid.
    • Implementing a novel model for impulse stretching and harmonic boundary treatment for surface tension.
    • Developing an impulse Particle-In-Cell/Fluid-Implicit-Particle (PIC/FLIP) solver for free-surface simulations.

    Main Results:

    • The impulse solver naturally produces rich vortical flow details without artificial enhancements.
    • Accurate simulation of surface tension effects through harmonic boundary treatment.
    • Successful application to a range of fluid simulations including smoke, liquid, and surface-tension flows.
    • Demonstration of a mechanism to control turbulent effects.

    Conclusions:

    • The impulse gauge transformation offers a robust and accurate approach for incompressible fluid simulations.
    • The proposed solver effectively handles complex phenomena like vortical flows and surface tension.
    • This framework provides enhanced control over turbulent fluid behavior.