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- The pressure exerted by a static fluid depends only upon the depth of the fluid, the density of the fluid, and the acceleration of gravity.
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The pressure exerted by a static fluid depends only upon the depth of the fluid, the density of the fluid, and the acceleration of gravity. The pressure in a static fluid arises from the weight of the fluid and is given by the expression. P static fluid = ρgh where. ρ = m/V = fluid density.
- Static Fluid. In 7A we learned that energy of a system is conserved when no heat enters or leaves the system or no work is done by or on the system.
- Energy-Interaction Diagram for a Static Fluid. Energy conservation tells us that as we move vertically downward in a fluid at rest the gravitational potential energy density decreases so the pressure must increase by the same amount.
- Piston Doing Work on a Fluid. The work done by an outside agent in moving the piston a distance \(dx\) down is given by: \[dW = Fdx = - PdV\]
- Forces on an Element of Fluid. We will study forces in much more detail later in Chapter 6. The main idea to focus on here is that when a system is in equilibrium, such as a static fluid, all the forces acting on that system must be balanced.
At any point within a static fluid, the pressure on all sides must be equal—otherwise, the fluid at that point would react to a net force and accelerate. The pressure at any point in a static fluid depends only on the depth at that point.
At any point within a static fluid, the pressure on all sides must be equal—otherwise, the fluid at that point would react to a net force and accelerate. The pressure at any point in a static fluid depends only on the depth at that point.
Atmospheric pressure is the magnitude of pressure in a system due to the atmosphere, such as the pressure exerted by air molecules (a static fluid ) on the surface of the earth at a given elevation. In most measurements and calculations, the atmospheric pressure is considered to be constant at 1 atm or 101,325 Pa, which is the atmospheric ...
Static pressure is the pressure exerted by a fluid at rest, acting equally in all directions at a given point within the fluid. It is a fundamental concept in fluid dynamics, essential for understanding how fluids behave when not in motion.
Static pressure does not vary with the motion of the fluid, meaning it's constant across a given horizontal plane in an incompressible fluid at rest. In a fluid at rest, static pressure increases with depth due to the weight of the fluid above it, leading to hydrostatic pressure principles.
