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Related Concept Videos

Continuity Equation01:28

Continuity Equation

The continuity equation asserts that the mass flow rate must remain constant for a steady flow of an incompressible fluid within a confined system. This principle applies to systems where fluid passes through varying cross-sectional areas, such as nozzles, syringes, and pipes.
The mass flow rate is expressed as:
Equation of Continuity01:12

Equation of Continuity

Fluid motion is represented by either velocity vectors or streamlines. The volume of a fluid flowing past a given location through an area during a period of time is called the flow rate Q, or more precisely, the volume flow rate. Flow rate and velocity are related—for instance, a river has a greater flow rate if the velocity of the water in it is greater. However, the flow rate also depends on the size and shape of the river. The relationship between flow rate (Q) and average speed (v)...
Steady Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
Conservation of Mass in Finite Cotrol Volume01:16

Conservation of Mass in Finite Cotrol Volume

The principle of conservation of mass is a fundamental law in fluid mechanics and is applied using the continuity equation. We apply the concept to a finite control volume to derive the continuity equation.
A system is defined as a collection of unchanging contents, and the conservation of mass states that a system's mass is constant.

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Related Experiment Video

Updated: May 25, 2026

In Vitro Model of Physiological and Pathological Blood Flow with Application to Investigations of Vascular Cell Remodeling
07:30

In Vitro Model of Physiological and Pathological Blood Flow with Application to Investigations of Vascular Cell Remodeling

Published on: November 3, 2015

Physiology of continuous-flow pumps.

Dawn M Christensen1

  • 1Innovative Program Solutions, LLC, 66 Cardinal Rd., Pine Grove, PA 17963, USA. dchriste1@comcast.net

AACN Advanced Critical Care
|February 1, 2012
PubMed
Summary
This summary is machine-generated.

Continuous-flow pumps offer circulatory support for failing hearts, but their use requires understanding unique physiology, monitoring, and complications distinct from normal cardiovascular function.

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Area of Science:

  • Cardiovascular Physiology
  • Biomedical Engineering
  • Medical Device Technology

Background:

  • Mechanical circulatory support has evolved significantly since the 1950s.
  • Continuous-flow pumps are now used to assist or replace failing heart function.
  • The physiological impact of these pumps differs from natural cardiovascular processes.

Purpose of the Study:

  • To highlight the distinct physiology associated with rotary blood pump use.
  • To emphasize the need for clinicians to understand these differences.
  • To prepare healthcare providers for unique monitoring and complications.

Main Methods:

  • Review of historical development of mechanical circulatory support devices.
  • Analysis of physiological changes in patients with continuous-flow pumps.
  • Identification of unique clinical challenges and complications.

Main Results:

  • Rotary blood pumps create a physiological state significantly different from normal.
  • Standard cardiovascular monitoring may not fully capture patient status.
  • Specific complications are associated with the use of these advanced devices.

Conclusions:

  • Clinicians must possess specialized knowledge to manage patients on rotary blood pumps.
  • Understanding altered physiology is crucial for effective patient care.
  • Awareness of unique monitoring needs and potential complications is essential for patient safety.