Pascal Second
Pascal Second - Related Videos
01:03
Application of Pascal's Law
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2023
Pascal's experimentally proven observations—that a change in pressure applied to an enclosed fluid is transmitted undiminished throughout the fluid and to the walls of its container—provide the foundations for hydraulics, one of the most important developments in modern mechanical technology. Hydraulic systems are used to operate automotive brakes, hydraulic jacks, and numerous other mechanical systems. We can derive a relationship between the forces in a simple hydraulic system by applying...
01:04
Pascal's Law
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2023
In 1653, the French philosopher and scientist Blaise Pascal published "Treatise on the Equilibrium of Liquids," which discussed the principles of static fluids. A static fluid is a fluid that is not in motion. When a fluid is not flowing, we say that the fluid is in static equilibrium. If the fluid is water, we say it is in hydrostatic equilibrium. For a fluid in static equilibrium, the net force on any part of the fluid must be zero; otherwise, the fluid will start to flow. Pascal observed...
01:30
Binomial Expansion Using Pascal's Triangle
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2025
Expanding a binomial expression such as (a + b)n results in a predictable sequence of terms that can be systematically derived using Pascal’s Triangle. This triangular array of numbers plays a central role in understanding and computing the coefficients of binomial expansions.Pascal’s Triangle is constructed such that each row corresponds to the coefficients of a binomial raised to a power. The topmost row, known as the zeroth row, corresponds to (a + b)0, and each successive row gives the...
08:42
High-Sensitivity Nuclear Magnetic Resonance at Giga-Pascal Pressures: A New Tool for Probing Electronic and Chemical Properties of Condensed Matter under Extreme Conditions
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Cited by 8 •
2014
Nuclear magnetic resonance is one of the most important spectroscopic tools. Here, the development of a new approach under high pressure, currently up to 10.1 GPa, is presented. This opens a new window into condensed matter physics and chemistry, where high-pressure research is of great importance.
11:16
A Microfluidic Chip for ICPMS Sample Introduction
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Cited by 4 •
2015
We present a discrete droplet sample introduction system for inductively coupled plasma mass spectrometry (ICPMS). It is based on a cheap and disposable microfluidic chip that generates highly monodisperse droplets in a size range of 40−60 µm at frequencies from 90 to 7,000 Hz.
FAQs
The equation links applied shear stress, τ, to the velocity gradient, du/dy, across adjacent fluid layers. The proportionality factor, η, expresses how much stress is required for a given change in velocity with position. Reporting η in pascal seconds allows researchers to connect measured fluid resistance with quantitative predictions of deformation and flow in physical systems.
Shear stress describes the force acting parallel to fluid layers, while the velocity gradient describes how quickly fluid velocity changes between those layers. Their relationship determines the viscosity value for a Newtonian fluid. Examining both quantities helps physicists distinguish the imposed mechanical condition from the material response during flow analysis.
For a Newtonian fluid, a constant viscosity means that increasing shear stress produces a proportional increase in the velocity gradient rather than changing the value of η itself. This regular relationship simplifies calculations because one viscosity value can characterize the fluid across the considered stress conditions, supporting predictable treatment in physics and engineering models.
Fluid-flow calculations use viscosity expressed in pascal seconds to quantify the resistance that a liquid or gas presents during internal motion. Incorporating η into the shear-stress relationship helps connect material behavior with flow conditions. This information supports analysis of transport phenomena and assists engineers when evaluating how fluids behave within designed systems.
Pascal-second measurements can characterize a broad range of materials identified in the source, including oils, polymers, and biological fluids, as well as liquids and gases generally. Comparing their viscosity values provides a common physical basis for describing resistance to internal deformation and for selecting appropriate material data in scientific or engineering analyses.
Viscosity measurements provide material data needed for lubrication studies and process design. In lubrication, the value helps describe how an oil resists internal motion, while in processing it contributes to evaluating fluid behavior and flow. The same measurements also support transport-phenomena analysis, connecting laboratory characterization with practical engineering decisions.