Height of Capillary Rise in Capillary Tube Calculator

✖Surface Tension is the property of the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules.ⓘ Surface Tension [σ_s]			+10% -10%
✖Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together.ⓘ Contact Angle [Φ]			+10% -10%
✖Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Radius of Capillary Tube is defined as the distance between the center of the tube to the periphery of tube.ⓘ Radius of Capillary Tube [R_c]			+10% -10%

✖Height of Capillary Rise is the level to which the water rises or falls in a capillary tube.ⓘ Height of Capillary Rise in Capillary Tube [h_Capillary]

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Formula

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Height of Capillary Rise in Capillary Tube

Formula

`"h"_{"Capillary"} = (2*"σ"_{"s"}*(cos("Φ")))/("ρ"*"[g]"*"R"_{"c"})`

Example

`"18.84666m"=(2*"70N/m"*(cos("30°")))/("0.390476kg/m³"*"[g]"*"1.68m")`

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Height of Capillary Rise in Capillary Tube Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube)
h_Capillary = (2*σ_s*(cos(Φ)))/(ρ*[g]*R_c)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Height of Capillary Rise - (Measured in Meter) - Height of Capillary Rise is the level to which the water rises or falls in a capillary tube.
Surface Tension - (Measured in Newton per Meter) - Surface Tension is the property of the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules.
Contact Angle - (Measured in Radian) - Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together.
Density - (Measured in Kilogram per Cubic Meter) - Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Radius of Capillary Tube - (Measured in Meter) - Radius of Capillary Tube is defined as the distance between the center of the tube to the periphery of tube.

STEP 1: Convert Input(s) to Base Unit

Surface Tension: 70 Newton per Meter --> 70 Newton per Meter No Conversion Required
Contact Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Density: 0.390476 Kilogram per Cubic Meter --> 0.390476 Kilogram per Cubic Meter No Conversion Required
Radius of Capillary Tube: 1.68 Meter --> 1.68 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Capillary = (2*σ_s*(cos(Φ)))/(ρ*[g]*R_c) --> (2*70*(cos(0.5235987755982)))/(0.390476*[g]*1.68)

Evaluating ... ...

h_Capillary = 18.846658631383

STEP 3: Convert Result to Output's Unit

18.846658631383 Meter --> No Conversion Required

FINAL ANSWER

18.846658631383 ≈ 18.84666 Meter <-- Height of Capillary Rise

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

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Go Torque = (Dynamic Viscosity*2*pi*(Radius of Inner Cylinder^3)*Angular Velocity*Length of Cylinder)/(Thickness of Fluid Layer)

Height of Capillary Rise in Capillary Tube

Go Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube)

Torque on Cylinder given Radius, Length and Viscosity

Go Torque = (Dynamic Viscosity*4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)/(Thickness of Fluid Layer)

Weight of Liquid Column in Capillary Tube

Go Weight of Liquid Column in Capillary = Density*[g]*pi*(Radius of Capillary Tube^2)*Height of Capillary Rise

Wetted Surface Area

Go Wetted Surface Area = 2*pi*Radius of Inner Cylinder*Length of Cylinder

Enthalpy given Flow Work

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Go Specific Gravity = Density/Density of Water

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Go Specific Total Energy = Total Energy/Mass

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Go Shear Stress = Shear Force/Area

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Height of Capillary Rise in Capillary Tube Formula

Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube)
h_Capillary = (2*σ_s*(cos(Φ)))/(ρ*[g]*R_c)

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 Viscosity?

Viscosity is a measure of a fluid’s resistance to flow. The SI unit of viscosity is poiseiulle (PI). Its other units are newton-second per square metre (N s m-2) or pascal-second (Pa s.). The viscosity of liquids decreases rapidly with an increase in temperature, and the viscosity of gases increases with an increase in temperature. Thus, upon heating, liquids flow more easily, whereas gases flow more slowly. Also, viscosity does not change as the amount of matter changes, therefore it is an intensive property.

How to Calculate Height of Capillary Rise in Capillary Tube?

Height of Capillary Rise in Capillary Tube calculator uses Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube) to calculate the Height of Capillary Rise, The Height of Capillary Rise in Capillary Tube formula is defined as the function of surface tension, contact angle, density, density and Radius of capillary. This relation is also valid for nonwetting liquids (such as mercury in glass) and gives the capillary drop. In this case ϕ > 90° and thus cos ϕ < 0, which makes h negative. Therefore, a negative value of capillary rise corresponds to a capillary drop. Note that the capillary rise is inversely proportional to the radius of the tube. Therefore, the thinner the tube is, the greater the rise (or fall) of the liquid in the tube. In practice, the capillary effect for water is usually negligible in tubes whose diameter is greater than 1 cm. Height of Capillary Rise is denoted by h_Capillary symbol.

How to calculate Height of Capillary Rise in Capillary Tube using this online calculator? To use this online calculator for Height of Capillary Rise in Capillary Tube, enter Surface Tension (σ_s), Contact Angle (Φ), Density (ρ) & Radius of Capillary Tube (R_c) and hit the calculate button. Here is how the Height of Capillary Rise in Capillary Tube calculation can be explained with given input values -> 18.84666 = (2*70*(cos(0.5235987755982)))/(0.390476*[g]*1.68).

FAQ

What is Height of Capillary Rise in Capillary Tube?

The Height of Capillary Rise in Capillary Tube formula is defined as the function of surface tension, contact angle, density, density and Radius of capillary. This relation is also valid for nonwetting liquids (such as mercury in glass) and gives the capillary drop. In this case ϕ > 90° and thus cos ϕ < 0, which makes h negative. Therefore, a negative value of capillary rise corresponds to a capillary drop. Note that the capillary rise is inversely proportional to the radius of the tube. Therefore, the thinner the tube is, the greater the rise (or fall) of the liquid in the tube. In practice, the capillary effect for water is usually negligible in tubes whose diameter is greater than 1 cm and is represented as h_Capillary = (2*σ_s*(cos(Φ)))/(ρ*[g]*R_c) or Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube). Surface Tension is the property of the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules, Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together, Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object & Radius of Capillary Tube is defined as the distance between the center of the tube to the periphery of tube.

How to calculate Height of Capillary Rise in Capillary Tube?

The Height of Capillary Rise in Capillary Tube formula is defined as the function of surface tension, contact angle, density, density and Radius of capillary. This relation is also valid for nonwetting liquids (such as mercury in glass) and gives the capillary drop. In this case ϕ > 90° and thus cos ϕ < 0, which makes h negative. Therefore, a negative value of capillary rise corresponds to a capillary drop. Note that the capillary rise is inversely proportional to the radius of the tube. Therefore, the thinner the tube is, the greater the rise (or fall) of the liquid in the tube. In practice, the capillary effect for water is usually negligible in tubes whose diameter is greater than 1 cm is calculated using Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube). To calculate Height of Capillary Rise in Capillary Tube, you need Surface Tension (σ_s), Contact Angle (Φ), Density (ρ) & Radius of Capillary Tube (R_c). With our tool, you need to enter the respective value for Surface Tension, Contact Angle, Density & Radius of Capillary Tube 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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