Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid Calculator

✖Discharge of Fluid is a measure of the quantity of any fluid flow over unit time.ⓘ Discharge of Fluid [Q]			+10% -10%
✖Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity [u_Fluid]			+10% -10%

✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid [A_cs]

⎘ Copy

👎

Formula

✖

Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid

Formula

`"A"_{"cs"} = "Q"/"u"_{"Fluid"}`

Example

`"12.625m²"="1.01m³/s"/"0.08m/s"`

Calculator

LaTeX

Reset

👍

Download Fundamentals of Fluid Flow Formulas PDF

Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area = Discharge of Fluid/Fluid Velocity
A_cs = Q/u_Fluid
This formula uses 3 Variables

Variables Used

Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Discharge of Fluid - (Measured in Cubic Meter per Second) - Discharge of Fluid is a measure of the quantity of any fluid flow over unit time.
Fluid Velocity - (Measured in Meter per Second) - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

STEP 1: Convert Input(s) to Base Unit

Discharge of Fluid: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Fluid Velocity: 0.08 Meter per Second --> 0.08 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = Q/u_Fluid --> 1.01/0.08

Evaluating ... ...

A_cs = 12.625

STEP 3: Convert Result to Output's Unit

12.625 Square Meter --> No Conversion Required

FINAL ANSWER

12.625 Square Meter <-- Cross-Sectional Area

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Fundamentals of Fluid Flow » Continuity Equation » Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 10+ Continuity Equation Calculators

Cross Sectional Area at Section 1 for Steady Flow

Go Cross-Sectional Area = Discharge of Fluid/(Density of Liquid 1*Velocity of Fluid at Negative Surges)

Mass Density at Section 1 for Steady Flow

Go Density of Liquid 1 = Discharge of Fluid/(Cross-Sectional Area*Velocity of Fluid at Negative Surges)

Velocity at Section 2 given Flow at Section 1 for Steady Flow

Go Initial Velocity at Point 2 = Discharge of Fluid/(Cross-Sectional Area*Density of Liquid 2)

Velocity at Section 1 for Steady Flow

Go Initial Velocity at Point 1 = Discharge of Fluid/(Cross-Sectional Area*Density of Liquid 1)

Cross Sectional Area at Section 2 given Flow at Section 1 for Steady Flow

Go Cross-Sectional Area = Discharge of Fluid/(Density of Liquid 2*Velocity of Fluid at 2)

Mass Density at Section 2 given Flow at Section 1 for Steady Flow

Go Density of Liquid 2 = Discharge of Fluid/(Cross-Sectional Area*Velocity of Fluid at 2)

Mass Flow Rate in Steady Flow

Go Mass Flow Rate = Cross Sectional Area*Fluid Velocity/Specific Volume

Velocity at Section for Discharge through Section for Steady Incompressible Fluid

Go Fluid Velocity = Discharge of Fluid/Cross-Sectional Area

Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid

Go Cross-Sectional Area = Discharge of Fluid/Fluid Velocity

Discharge through Section for Steady Incompressible Fluid

Go Discharge of Fluid = Cross-Sectional Area*Fluid Velocity

Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid Formula

Cross-Sectional Area = Discharge of Fluid/Fluid Velocity
A_cs = Q/u_Fluid

What is Equation of Continuity?

A continuity equation in physics is an equation that describes the transport of some quantity. It is particularly simple and powerful when applied to a conserved quantity, but it can be generalized to apply to any extensive quantity.

How to Calculate Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid?

Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid calculator uses Cross-Sectional Area = Discharge of Fluid/Fluid Velocity to calculate the Cross-Sectional Area, The Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid is defined as sectional area of pipe. Cross-Sectional Area is denoted by A_cs symbol.

How to calculate Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid using this online calculator? To use this online calculator for Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid, enter Discharge of Fluid (Q) & Fluid Velocity (u_Fluid) and hit the calculate button. Here is how the Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid calculation can be explained with given input values -> 12.625 = 1.01/0.08.

FAQ

What is Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid?

The Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid is defined as sectional area of pipe and is represented as A_cs = Q/u_Fluid or Cross-Sectional Area = Discharge of Fluid/Fluid Velocity. Discharge of Fluid is a measure of the quantity of any fluid flow over unit time & Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

How to calculate Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid?

The Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid is defined as sectional area of pipe is calculated using Cross-Sectional Area = Discharge of Fluid/Fluid Velocity. To calculate Cross Sectional Area at Section given Discharge for Steady Incompressible Fluid, you need Discharge of Fluid (Q) & Fluid Velocity (u_Fluid). With our tool, you need to enter the respective value for Discharge of Fluid & Fluid Velocity 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 Cross-Sectional Area?

In this formula, Cross-Sectional Area uses Discharge of Fluid & Fluid Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Cross-Sectional Area = Discharge of Fluid/(Density of Liquid 1*Velocity of Fluid at Negative Surges)
Cross-Sectional Area = Discharge of Fluid/(Density of Liquid 2*Velocity of Fluid at 2)

Home

FREE PDFs

🔍 Search