Velocity at Section 1 for Steady Flow Calculator

✖Discharge of Fluid is a measure of the quantity of any fluid flow over unit time.ⓘ Discharge of Fluid [Q]			+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 [A_cs]			+10% -10%
✖Density of Liquid 1 is a measure of how heavy it is for the amount measured.ⓘ Density of Liquid 1 [ρ₁]			+10% -10%

✖Initial Velocity at Point 1 is the rate of change of its position with respect to a frame of reference and is a function of time.ⓘ Velocity at Section 1 for Steady Flow [u₀₁]

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Velocity at Section 1 for Steady Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Velocity at Point 1 = Discharge of Fluid/(Cross-Sectional Area*Density of Liquid 1)
u₀₁ = Q/(A_cs*ρ₁)
This formula uses 4 Variables

Variables Used

Initial Velocity at Point 1 - (Measured in Meter per Second) - Initial Velocity at Point 1 is the rate of change of its position with respect to a frame of reference and is a function of time.
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.
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.
Density of Liquid 1 - (Measured in Kilogram per Cubic Meter) - Density of Liquid 1 is a measure of how heavy it is for the amount measured.

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
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Density of Liquid 1: 0.02 Kilogram per Cubic Meter --> 0.02 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u₀₁ = Q/(A_cs*ρ₁) --> 1.01/(13*0.02)

Evaluating ... ...

u₀₁ = 3.88461538461538

STEP 3: Convert Result to Output's Unit

3.88461538461538 Meter per Second --> No Conversion Required

FINAL ANSWER

3.88461538461538 ≈ 3.884615 Meter per Second <-- Initial Velocity at Point 1

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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Cross Sectional Area at Section 1 for Steady Flow

LaTeX 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

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

Velocity at Section 1 for Steady Flow

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

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

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

Velocity at Section 1 for Steady Flow Formula

LaTeX Go

Initial Velocity at Point 1 = Discharge of Fluid/(Cross-Sectional Area*Density of Liquid 1)
u₀₁ = Q/(A_cs*ρ₁)

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 Velocity at Section 1 for Steady Flow?

Velocity at Section 1 for Steady Flow calculator uses Initial Velocity at Point 1 = Discharge of Fluid/(Cross-Sectional Area*Density of Liquid 1) to calculate the Initial Velocity at Point 1, The Velocity at Section 1 for Steady Flow formula is defined as velocity of flow at a particular point in the stream. Initial Velocity at Point 1 is denoted by u₀₁ symbol.

How to calculate Velocity at Section 1 for Steady Flow using this online calculator? To use this online calculator for Velocity at Section 1 for Steady Flow, enter Discharge of Fluid (Q), Cross-Sectional Area (A_cs) & Density of Liquid 1 (ρ₁) and hit the calculate button. Here is how the Velocity at Section 1 for Steady Flow calculation can be explained with given input values -> 3.884615 = 1.01/(13*0.02).

FAQ

What is Velocity at Section 1 for Steady Flow?

The Velocity at Section 1 for Steady Flow formula is defined as velocity of flow at a particular point in the stream and is represented as u₀₁ = Q/(A_cs*ρ₁) or Initial Velocity at Point 1 = Discharge of Fluid/(Cross-Sectional Area*Density of Liquid 1). Discharge of Fluid is a measure of the quantity of any fluid flow over unit time, 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 & Density of Liquid 1 is a measure of how heavy it is for the amount measured.

How to calculate Velocity at Section 1 for Steady Flow?

The Velocity at Section 1 for Steady Flow formula is defined as velocity of flow at a particular point in the stream is calculated using Initial Velocity at Point 1 = Discharge of Fluid/(Cross-Sectional Area*Density of Liquid 1). To calculate Velocity at Section 1 for Steady Flow, you need Discharge of Fluid (Q), Cross-Sectional Area (A_cs) & Density of Liquid 1 (ρ₁). With our tool, you need to enter the respective value for Discharge of Fluid, Cross-Sectional Area & Density of Liquid 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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