Equation of Continuity for Incompressible Fluids Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1
V1 = (A2*V2)/A1
This formula uses 4 Variables
Variables Used
Velocity of the fluid at 1 - (Measured in Meter per Second) - Velocity of the fluid at 1 is defined as the velocity of the flowing liquid at a point 1.
Cross-Sectional Area at Point 2 - (Measured in Square Meter) - Cross-Sectional Area at Point 2 is the area of cross section at a point 2.
Velocity of the fluid at 2 - (Measured in Meter per Second) - Velocity of the fluid at 2 is defined as the velocity of the flowing liquid at point 1.
Cross-Sectional Area at Point 1 - (Measured in Square Meter) - Cross-Sectional Area at Point 1 is defined as the area of the section at point 1.
STEP 1: Convert Input(s) to Base Unit
Cross-Sectional Area at Point 2: 6 Square Meter --> 6 Square Meter No Conversion Required
Velocity of the fluid at 2: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Cross-Sectional Area at Point 1: 14 Square Meter --> 14 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V1 = (A2*V2)/A1 --> (6*5)/14
Evaluating ... ...
V1 = 2.14285714285714
STEP 3: Convert Result to Output's Unit
2.14285714285714 Meter per Second --> No Conversion Required
FINAL ANSWER
2.14285714285714 2.142857 Meter per Second <-- Velocity of the fluid at 1
(Calculation completed in 00.020 seconds)

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Fluid Mechanics Basics Calculators

Equation of Continuity for Compressible Fluids
​ Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density 2)/(Cross-Sectional Area at Point 1*Density 1)
Equation of Continuity for Incompressible Fluids
​ Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1
Cavitation Number
​ Go Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2)
Bulk Modulus given Volume Stress and Strain
​ Go Bulk Modulus = Volume Stress/Volumetric Strain

Equation of Continuity for Incompressible Fluids Formula

Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1
V1 = (A2*V2)/A1

Define Equation of Continuity.

The equation of continuity is simply a mass balance of a fluid flowing through a stationary volume element. It states that the rate of mass accumulation in this volume element equals the rate of mass in minus the rate of mass out.

How to Calculate Equation of Continuity for Incompressible Fluids?

Equation of Continuity for Incompressible Fluids calculator uses Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1 to calculate the Velocity of the fluid at 1, Equation of Continuity for incompressible fluids is defined as the product of the cross-sectional area of the pipe and the velocity of the fluid at any given point along the pipe is constant. Velocity of the fluid at 1 is denoted by V1 symbol.

How to calculate Equation of Continuity for Incompressible Fluids using this online calculator? To use this online calculator for Equation of Continuity for Incompressible Fluids, enter Cross-Sectional Area at Point 2 (A2), Velocity of the fluid at 2 (V2) & Cross-Sectional Area at Point 1 (A1) and hit the calculate button. Here is how the Equation of Continuity for Incompressible Fluids calculation can be explained with given input values -> 2.142857 = (6*5)/14.

FAQ

What is Equation of Continuity for Incompressible Fluids?
Equation of Continuity for incompressible fluids is defined as the product of the cross-sectional area of the pipe and the velocity of the fluid at any given point along the pipe is constant and is represented as V1 = (A2*V2)/A1 or Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1. Cross-Sectional Area at Point 2 is the area of cross section at a point 2, Velocity of the fluid at 2 is defined as the velocity of the flowing liquid at point 1 & Cross-Sectional Area at Point 1 is defined as the area of the section at point 1.
How to calculate Equation of Continuity for Incompressible Fluids?
Equation of Continuity for incompressible fluids is defined as the product of the cross-sectional area of the pipe and the velocity of the fluid at any given point along the pipe is constant is calculated using Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1. To calculate Equation of Continuity for Incompressible Fluids, you need Cross-Sectional Area at Point 2 (A2), Velocity of the fluid at 2 (V2) & Cross-Sectional Area at Point 1 (A1). With our tool, you need to enter the respective value for Cross-Sectional Area at Point 2, Velocity of the fluid at 2 & Cross-Sectional Area at Point 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Velocity of the fluid at 1?
In this formula, Velocity of the fluid at 1 uses Cross-Sectional Area at Point 2, Velocity of the fluid at 2 & Cross-Sectional Area at Point 1. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density 2)/(Cross-Sectional Area at Point 1*Density 1)
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