Fluid Dynamics Continuity
Fluid Dynamics Continuity - Related Videos
12:39
Computational Fluid Dynamics Simulations of Blood Flow in a Cerebral Aneurysm
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2023
Source: Joseph C. Muskat, Vitaliy L. Rayz, and Craig J. Goergen, Weldon School of Biomedical Engineering, Purdue University, West Lafayette, Indiana The objective of this video is to describe recent advancements of computational fluid dynamic (CFD) simulations based on patient- or animal-specific vasculature. Here, subject-based vessel segmentations were created, and, using a combination of open-source and commercial tools, a high-resolution numerical solution was determined within a flow model.
10:09
Fast Imaging Technique to Study Drop Impact Dynamics of Non-Newtonian Fluids
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Cited by 2 •
2014
Drop impact of non-Newtonian fluids is a complex process since different physical parameters influence the dynamics over a very short time (less than one tenth of a millisecond). A fast imaging technique is introduced in order to characterize the impact behaviors of different non-Newtonian fluids.
06:37
Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
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Cited by 2 •
2021
Melts and fluids are ubiquitous vectors of mass transport in natural systems. We have developed an open-source package to analyze ab initio molecular-dynamics simulations of such systems. We compute structural (bonding, clusterization, chemical speciation), transport (diffusion, viscosity) and thermodynamic properties (vibrational spectrum).
04:52
Dynamic Continuous Blood Extraction from Rat Heart via Noninvasive Microdialysis Technique
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Cited by 1 •
2022
The present protocol describes a simple and efficient method for the real-time and dynamic collection of rat heart blood using the microdialysis technique.
05:43
Real-Time Dynamic Collection of Hippocampal Extracellular Fluid from Conscious Rats Using a Microdialysis System
0 Views •
2022
The protocol here provides a detailed real-time dynamic sampling of extracellular fluid from the hippocampus of awake rats using a microdialysis system.
FAQs
Density determines how much mass passes through a given area at a given velocity. For steady flow through a streamtube with no mass added or removed, the product of density, cross-sectional area, and velocity remains constant. If density changes, engineers must retain the full expression ρAv rather than using the incompressible form, ensuring that mass flow comparisons remain consistent.
For an incompressible fluid, density remains constant, so continuity reduces to Av = constant. When the available cross-sectional area decreases, velocity must increase to preserve the same volumetric flow relationship. This principle explains the velocity change through converging passages such as nozzles, while an expanding passage produces the opposite area-velocity trend.
Continuity establishes how flow rate, area, density, and velocity are linked, but it does not by itself describe every pressure-related change. Engineers therefore use it alongside energy equations when analyzing flow systems. Continuity supplies the velocity relationship between locations, while the combined analysis helps evaluate pressure-related behavior in components such as pipes, nozzles, and diffusers.
An analysis requires the relevant cross-sectional areas, fluid density when compressibility matters, and velocity or flow information at one location. Engineers then apply the constant mass-flow relationship, ρAv, between the selected sections and solve for the unknown quantity. For incompressible flow, the density terms cancel, simplifying the comparison to area and velocity.
The method connects geometric changes in a passage with the velocity required to maintain flow. In a nozzle, a reduced area corresponds to increased velocity for incompressible flow; in a diffuser, an increased area corresponds to reduced velocity. Engineers use these relationships to examine how component geometry affects flow behavior before considering associated pressure-related changes through energy analysis.
Engineers apply continuity when examining pipes, pumps, nozzles, diffusers, and ventilation systems. It helps determine whether a design can maintain the required flow as passage areas and fluid conditions change. In practical evaluation, the resulting velocity relationships support judgments about delivery, efficiency, and safe operation, especially when paired with energy-based analysis of the system.