Vertical Rise of Free Surface Calculator

✖Z Coordinate of Liquid Free Surface at Point 2 is defined as the location of the z coordinate of liquid free surface at point 2.ⓘ Z Coordinate of Liquid Free Surface at Point 2 [Z_S2]			+10% -10%
✖Z Coordinate of Liquid Free Surface at Point 1 is defined as the location of the z coordinate of liquid free surface at point 1.ⓘ Z Coordinate of Liquid Free Surface at Point 1 [Z_S1]			+10% -10%

✖Change in Z Coordinate of Liquid's Free Surface is defined as the difference between the z coordinate at point 2 and 1.ⓘ Vertical Rise of Free Surface [ΔZ_s]

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Formula

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Vertical Rise of Free Surface

Formula

`"ΔZ"_{"s"} = "Z"_{"S2"}-"Z"_{"S1"}`

Example

`"0.21"="1.45"-"1.24"`

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Vertical Rise of Free Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Z Coordinate of Liquid's Free Surface = Z Coordinate of Liquid Free Surface at Point 2-Z Coordinate of Liquid Free Surface at Point 1
ΔZ_s = Z_S2-Z_S1
This formula uses 3 Variables

Variables Used

Change in Z Coordinate of Liquid's Free Surface - Change in Z Coordinate of Liquid's Free Surface is defined as the difference between the z coordinate at point 2 and 1.
Z Coordinate of Liquid Free Surface at Point 2 - Z Coordinate of Liquid Free Surface at Point 2 is defined as the location of the z coordinate of liquid free surface at point 2.
Z Coordinate of Liquid Free Surface at Point 1 - Z Coordinate of Liquid Free Surface at Point 1 is defined as the location of the z coordinate of liquid free surface at point 1.

STEP 1: Convert Input(s) to Base Unit

Z Coordinate of Liquid Free Surface at Point 2: 1.45 --> No Conversion Required
Z Coordinate of Liquid Free Surface at Point 1: 1.24 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔZ_s = Z_S2-Z_S1 --> 1.45-1.24

Evaluating ... ...

ΔZ_s = 0.21

STEP 3: Convert Result to Output's Unit

0.21 --> No Conversion Required

FINAL ANSWER

0.21 <-- Change in Z Coordinate of Liquid's Free Surface

(Calculation completed in 00.020 seconds)

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Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

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Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 12 Fluids in Rigid Body Motion Calculators

Pressure at Point in Rigid Body Motion of Liquid in Linearly Accelerating Tank

Go Pressure at any Point in Fluid = Initial Pressure-(Density of Fluid*Acceleration in X Direction*Location of Point from Origin in X Direction)-(Density of Fluid*([g]+Acceleration in Z Direction)*Location of Point from Origin in Z Direction)

Equation for Free Surface of Liquid in Rotating Cylinder at Constant Pressure

Go Distance of Free Surface from Bottom of Container = Height of Free Surface of Liquid without Rotation-((Angular Velocity of Rotating Liquid^2/(4*[g]))*(Radius of Cylindrical Container^2-(2*Radius at any given Point^2)))

Vertical Rise or Drop of Free Surface given Acceleration in X and Z Direction

Go Change in Z Coordinate of Liquid's Free Surface = -(Acceleration in X Direction/([g]+Acceleration in Z Direction))*(Location of Point 2 from Origin in X Direction-Location of Point 1 from Origin in X Direction)

Angular Velocity of Liquid in Rotating Cylinder at Constant Pressure when r is Equal to R

Go Angular Velocity of Rotating Liquid = sqrt((4*[g]*(Distance of Free Surface from Bottom of Container-Height of Free Surface of Liquid without Rotation))/(Radius of Cylindrical Container^2))

Angular Velocity of Liquid in Rotating Cylinder just before Liquid Starts Spilling

Go Angular Velocity of Rotating Liquid = sqrt((4*[g]*(Height of Container-Height of Free Surface of Liquid without Rotation))/(Radius of Cylindrical Container^2))

Equation for Free Surface of Liquid in Rotating Cylinder at Constant Pressure when r is Equal to R

Go Distance of Free Surface from Bottom of Container = Height of Free Surface of Liquid without Rotation+(Angular Velocity of Rotating Liquid^2*Radius of Cylindrical Container^2/(4*[g]))

Free Surface Isobars in Incompressible Fluid with Constant Acceleration

Go Z Coordinate of Free Surface at Constant Pressure = -(Acceleration in X Direction/([g]+Acceleration in Z Direction))*Location of Point from Origin in X Direction

Height of Container given Radius and Angular Velocity of Container

Go Height of Container = Height of Free Surface of Liquid without Rotation+((Angular Velocity^2*Radius of Cylindrical Container^2)/(4*[g]))

Vertical Rise of Free Surface

Go Change in Z Coordinate of Liquid's Free Surface = Z Coordinate of Liquid Free Surface at Point 2-Z Coordinate of Liquid Free Surface at Point 1

Slope of Isobar

Go Slope of Isobar = -(Acceleration in X Direction/([g]+Acceleration in Z Direction))

Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity

Go Centripetal Acceleration of Fluid Particle = Distance of Fluid Particle*(Angular Velocity^2)

Slope of Isobar given Inclination Angle of Free Surface

Go Slope of Isobar = -tan(Inclination Angle of Free Surface)

Vertical Rise of Free Surface Formula

Change in Z Coordinate of Liquid's Free Surface = Z Coordinate of Liquid Free Surface at Point 2-Z Coordinate of Liquid Free Surface at Point 1
ΔZ_s = Z_S2-Z_S1

What is Fluid Mechanics?

Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What is Hydrostatic Pressure?

Hydrostatic pressure is defined as “The pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity”. Hydrostatic pressure is proportional to the depth measured from the surface as the weight of the fluid increases when a downward force is applied. The fluid pressure can be caused by gravity, acceleration or forces when in a closed container. Consider a layer of water from the top of the bottle. There is the pressure exerted by the layer of water acting on the sides of the bottle. As we move down from the top of the bottle to the bottom, the pressure exerted by the top layer on the bottom adds up. This phenomenon is responsible for more pressure at the bottom of the container.

How to Calculate Vertical Rise of Free Surface?

Vertical Rise of Free Surface calculator uses Change in Z Coordinate of Liquid's Free Surface = Z Coordinate of Liquid Free Surface at Point 2-Z Coordinate of Liquid Free Surface at Point 1 to calculate the Change in Z Coordinate of Liquid's Free Surface, The Vertical Rise of Free Surface formula is the difference between the z coordinate of liquid's free surface at points 2 and 1. The free surface's vertical rise (or drop) at point 2 relative to point 1 is determined by choosing both 1 and 2 on the free surface (so that P1 = P2).where Zs is the z-coordinate of the liquid’s free surface. The equation for surfaces of constant pressure, called isobars, by setting dP = 0 and replacing z by Zisobar, which is the z-coordinate (the vertical distance) of the surface as a function of x. Change in Z Coordinate of Liquid's Free Surface is denoted by ΔZ_s symbol.

How to calculate Vertical Rise of Free Surface using this online calculator? To use this online calculator for Vertical Rise of Free Surface, enter Z Coordinate of Liquid Free Surface at Point 2 (Z_S2) & Z Coordinate of Liquid Free Surface at Point 1 (Z_S1) and hit the calculate button. Here is how the Vertical Rise of Free Surface calculation can be explained with given input values -> 0.21 = 1.45-1.24.

FAQ

What is Vertical Rise of Free Surface?

The Vertical Rise of Free Surface formula is the difference between the z coordinate of liquid's free surface at points 2 and 1. The free surface's vertical rise (or drop) at point 2 relative to point 1 is determined by choosing both 1 and 2 on the free surface (so that P1 = P2).where Zs is the z-coordinate of the liquid’s free surface. The equation for surfaces of constant pressure, called isobars, by setting dP = 0 and replacing z by Zisobar, which is the z-coordinate (the vertical distance) of the surface as a function of x and is represented as ΔZ_s = Z_S2-Z_S1 or Change in Z Coordinate of Liquid's Free Surface = Z Coordinate of Liquid Free Surface at Point 2-Z Coordinate of Liquid Free Surface at Point 1. Z Coordinate of Liquid Free Surface at Point 2 is defined as the location of the z coordinate of liquid free surface at point 2 & Z Coordinate of Liquid Free Surface at Point 1 is defined as the location of the z coordinate of liquid free surface at point 1.

How to calculate Vertical Rise of Free Surface?

The Vertical Rise of Free Surface formula is the difference between the z coordinate of liquid's free surface at points 2 and 1. The free surface's vertical rise (or drop) at point 2 relative to point 1 is determined by choosing both 1 and 2 on the free surface (so that P1 = P2).where Zs is the z-coordinate of the liquid’s free surface. The equation for surfaces of constant pressure, called isobars, by setting dP = 0 and replacing z by Zisobar, which is the z-coordinate (the vertical distance) of the surface as a function of x is calculated using Change in Z Coordinate of Liquid's Free Surface = Z Coordinate of Liquid Free Surface at Point 2-Z Coordinate of Liquid Free Surface at Point 1. To calculate Vertical Rise of Free Surface, you need Z Coordinate of Liquid Free Surface at Point 2 (Z_S2) & Z Coordinate of Liquid Free Surface at Point 1 (Z_S1). With our tool, you need to enter the respective value for Z Coordinate of Liquid Free Surface at Point 2 & Z Coordinate of Liquid Free Surface 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 Change in Z Coordinate of Liquid's Free Surface?

In this formula, Change in Z Coordinate of Liquid's Free Surface uses Z Coordinate of Liquid Free Surface at Point 2 & Z Coordinate of Liquid Free Surface at Point 1. We can use 1 other way(s) to calculate the same, which is/are as follows -

Change in Z Coordinate of Liquid's Free Surface = -(Acceleration in X Direction/([g]+Acceleration in Z Direction))*(Location of Point 2 from Origin in X Direction-Location of Point 1 from Origin in X Direction)

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