Capillary Rise or Depression when Tube is inserted in two Liquids Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Radius of Tube*Specific Weight of Water in KN per cubic meter*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2)*1000)
hc = (2*σ*cos(θ))/(rt*W*(S1-S2)*1000)
This formula uses 1 Functions, 7 Variables
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
Capillary Rise (or Depression) - (Measured in Meter) - Capillary Rise (or Depression) is the rise or fall in a liquid due to a net upward force produced by the attraction of the liquid molecules to a solid surface.
Surface Tension - (Measured in Newton per Meter) - Surface Tension is a word that is linked to the liquid surface. It is a physical property of liquids, in which the molecules are drawn onto every side.
Contact Angle - (Measured in Radian) - The 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.
Radius of Tube - (Measured in Meter) - Radius of Tube is defined as the distance from longitudinal axis of tube to the periphery perpendicularly.
Specific Weight of Water in KN per cubic meter - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Water in KN per cubic meter is the weight per unit volume of water.
Specific Gravity of Liquid 1 - Specific Gravity of Liquid 1 is the density of that liquid divided by the density of water.
Specific Gravity of Liquid 2 - Specific Gravity of Liquid 2 is the density of that liquid divided by the density of water.
STEP 1: Convert Input(s) to Base Unit
Surface Tension: 72.75 Newton per Meter --> 72.75 Newton per Meter No Conversion Required
Contact Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion ​here)
Radius of Tube: 5.1 Meter --> 5.1 Meter No Conversion Required
Specific Weight of Water in KN per cubic meter: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Specific Gravity of Liquid 1: 5 --> No Conversion Required
Specific Gravity of Liquid 2: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hc = (2*σ*cos(θ))/(rt*W*(S1-S2)*1000) --> (2*72.75*cos(0.1745329251994))/(5.1*9.81*(5-4)*1000)
Evaluating ... ...
hc = 0.00286401487204487
STEP 3: Convert Result to Output's Unit
0.00286401487204487 Meter --> No Conversion Required
FINAL ANSWER
0.00286401487204487 0.002864 Meter <-- Capillary Rise (or Depression)
(Calculation completed in 00.020 seconds)

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Created by Alithea Fernandes
Don Bosco College of Engineering (DBCE), Goa
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Properties of Fluid Calculators

Absolute Temperature of Gas
​ LaTeX ​ Go Absolute Temperature of Gas = Absolute Pressure by Gas Density/(Gas Constant*Density of Gas)
Absolute Pressure using Gas Density
​ LaTeX ​ Go Absolute Pressure by Gas Density = Absolute Temperature of Gas*Density of Gas*Gas Constant
Specific Gravity of Fluid
​ LaTeX ​ Go Specific Gravity of Fluid = Specific Weight of Liquid in Piezometer/Specific Weight of Standard Fluid
Specific Volume of Fluid
​ LaTeX ​ Go Specific Volume = 1/Mass Density of Fluid

Capillary Rise or Depression when Tube is inserted in two Liquids Formula

​LaTeX ​Go
Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Radius of Tube*Specific Weight of Water in KN per cubic meter*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2)*1000)
hc = (2*σ*cos(θ))/(rt*W*(S1-S2)*1000)

What are the applications of Capillarity?

Applications of Capillarity :
1. The oil rises through wicks of lamp through capillary action.
2. Any liquid will be absorbed by the sponges through capillary action.
3. Ink will be absorbed by blotting paper.
4. We an perform chromatography experiment .
5. water rises through sap of tress and reaches to all parts of tree.
6. melted candle will rise.

How to Calculate Capillary Rise or Depression when Tube is inserted in two Liquids?

Capillary Rise or Depression when Tube is inserted in two Liquids calculator uses Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Radius of Tube*Specific Weight of Water in KN per cubic meter*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2)*1000) to calculate the Capillary Rise (or Depression), The Capillary Rise or Depression when Tube is inserted in two Liquids formula is defined as a function of surface tension, radius of tube, contact angle, specific weight of water and specific gravity of both the liquids. Capillary Rise (or Depression) is denoted by hc symbol.

How to calculate Capillary Rise or Depression when Tube is inserted in two Liquids using this online calculator? To use this online calculator for Capillary Rise or Depression when Tube is inserted in two Liquids, enter Surface Tension (σ), Contact Angle (θ), Radius of Tube (rt), Specific Weight of Water in KN per cubic meter (W), Specific Gravity of Liquid 1 (S1) & Specific Gravity of Liquid 2 (S2) and hit the calculate button. Here is how the Capillary Rise or Depression when Tube is inserted in two Liquids calculation can be explained with given input values -> 0.002864 = (2*72.75*cos(0.1745329251994))/(5.1*9810*(5-4)*1000).

FAQ

What is Capillary Rise or Depression when Tube is inserted in two Liquids?
The Capillary Rise or Depression when Tube is inserted in two Liquids formula is defined as a function of surface tension, radius of tube, contact angle, specific weight of water and specific gravity of both the liquids and is represented as hc = (2*σ*cos(θ))/(rt*W*(S1-S2)*1000) or Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Radius of Tube*Specific Weight of Water in KN per cubic meter*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2)*1000). Surface Tension is a word that is linked to the liquid surface. It is a physical property of liquids, in which the molecules are drawn onto every side, The 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, Radius of Tube is defined as the distance from longitudinal axis of tube to the periphery perpendicularly, Specific Weight of Water in KN per cubic meter is the weight per unit volume of water, Specific Gravity of Liquid 1 is the density of that liquid divided by the density of water & Specific Gravity of Liquid 2 is the density of that liquid divided by the density of water.
How to calculate Capillary Rise or Depression when Tube is inserted in two Liquids?
The Capillary Rise or Depression when Tube is inserted in two Liquids formula is defined as a function of surface tension, radius of tube, contact angle, specific weight of water and specific gravity of both the liquids is calculated using Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Radius of Tube*Specific Weight of Water in KN per cubic meter*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2)*1000). To calculate Capillary Rise or Depression when Tube is inserted in two Liquids, you need Surface Tension (σ), Contact Angle (θ), Radius of Tube (rt), Specific Weight of Water in KN per cubic meter (W), Specific Gravity of Liquid 1 (S1) & Specific Gravity of Liquid 2 (S2). With our tool, you need to enter the respective value for Surface Tension, Contact Angle, Radius of Tube, Specific Weight of Water in KN per cubic meter, Specific Gravity of Liquid 1 & Specific Gravity of Liquid 2 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 Capillary Rise (or Depression)?
In this formula, Capillary Rise (or Depression) uses Surface Tension, Contact Angle, Radius of Tube, Specific Weight of Water in KN per cubic meter, Specific Gravity of Liquid 1 & Specific Gravity of Liquid 2. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Specific Gravity of Fluid*Radius of Tube*Specific Weight of Water in KN per cubic meter*1000)
  • Capillary Rise (or Depression) = (2*Surface Tension)/(Radius of Tube*Specific Weight of Water in KN per cubic meter*1000)
  • Capillary Rise (or Depression) = (2*Surface Tension*(cos(Contact Angle)))/(Specific Weight of Water in KN per cubic meter*Specific Gravity of Fluid*Distance between Vertical Plates)
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