Capillarity through Annular Space Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*(Outer Radius Of Tube-Inner Radius Of Tube))
hcapillarity = (2*σ*cos(θ))/(γ*(router-rinner))
This formula uses 1 Functions, 6 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
Capillarity Height - (Measured in Meter) - Capillarity height is denoted by the symbol h.
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.
Theta - (Measured in Radian) - Theta is the angle of contact between liquid and the boundary of capillary tube.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done.
Outer Radius Of Tube - (Measured in Meter) - Outer Radius Of Tube of any figure is the radius of a larger circle of the two concentric circles that form its boundary.
Inner Radius Of Tube - (Measured in Meter) - Inner Radius Of Tube of any figure is the radius of its cavity and the smaller radius among two concentric circles.
STEP 1: Convert Input(s) to Base Unit
Surface Tension: 72.75 Newton per Meter --> 72.75 Newton per Meter No Conversion Required
Theta: 8 Degree --> 0.13962634015952 Radian (Check conversion here)
Specific Weight: 112 Newton per Cubic Meter --> 112 Newton per Cubic Meter No Conversion Required
Outer Radius Of Tube: 7000 Millimeter --> 7 Meter (Check conversion here)
Inner Radius Of Tube: 5000 Millimeter --> 5 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hcapillarity = (2*σ*cos(θ))/(γ*(router-rinner)) --> (2*72.75*cos(0.13962634015952))/(112*(7-5))
Evaluating ... ...
hcapillarity = 0.643232160722763
STEP 3: Convert Result to Output's Unit
0.643232160722763 Meter -->643.232160722763 Millimeter (Check conversion here)
FINAL ANSWER
643.232160722763 643.2322 Millimeter <-- Capillarity Height
(Calculation completed in 00.004 seconds)

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9 Liquid Properties Measuring Equipments Calculators

Theoretical discharge for Venturimeter
Go Rate of flow = (Area of cross section at inlet*Area of Cross section at Throat*(sqrt(2*Acceleration Due To Gravity*Venturi Head)))/(sqrt((Area of cross section at inlet)^(2)-(Area of Cross section at Throat)^(2)))
Capillarity through Circular Tube Inserted in Liquid of S1 above Liquid of S2
Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific weight of liquid*Radius Of Circular Tube*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2))
Height of liquid in tube
Go Height of Liquid in Tube = (4*Surface Tension*cos(Theta))/(Density of Liquid*Acceleration Due To Gravity*Diameter of Tube)
Capillarity through Annular Space
Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*(Outer Radius Of Tube-Inner Radius Of Tube))
Discharge through Elbow Meter
Go Rate of flow = Coefficient of Discharge of Elbow meter*Cross sectional area of Pipe*(sqrt(2*Acceleration Due To Gravity*Elbowmeter Height))
Capillarity through Parallel Plates
Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*Uniform Gap between Vertical Plates)
U-Tube Manometer equation
Go Pressure a = (Specific Weight of Manometer liquid*Height of Manometer Liquid)-(Specific Weight 1*Height of Column 1)
Height of Capillary Rise
Go Capillarity Height = (4*Surface Tension*cos(Theta))/(Specific Weight*Diameter of Tube)
Angle of Inclined Manometer
Go Angle = asin(1/Sensitivity)

Capillarity through Annular Space Formula

Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*(Outer Radius Of Tube-Inner Radius Of Tube))
hcapillarity = (2*σ*cos(θ))/(γ*(router-rinner))

What is annular space?

The annulus, or annular space, is the space between a penetrant and whatever surrounds it, such as the sides of an opening or a sleeve, etc.

How to Calculate Capillarity through Annular Space?

Capillarity through Annular Space calculator uses Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*(Outer Radius Of Tube-Inner Radius Of Tube)) to calculate the Capillarity Height, Capillarity through Annular Space is height raised by the liquid through an annular space. Capillarity Height is denoted by hcapillarity symbol.

How to calculate Capillarity through Annular Space using this online calculator? To use this online calculator for Capillarity through Annular Space, enter Surface Tension (σ), Theta (θ), Specific Weight (γ), Outer Radius Of Tube (router) & Inner Radius Of Tube (rinner) and hit the calculate button. Here is how the Capillarity through Annular Space calculation can be explained with given input values -> 643232.2 = (2*72.75*cos(0.13962634015952))/(112*(7-5)) .

FAQ

What is Capillarity through Annular Space?
Capillarity through Annular Space is height raised by the liquid through an annular space and is represented as hcapillarity = (2*σ*cos(θ))/(γ*(router-rinner)) or Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*(Outer Radius Of Tube-Inner Radius Of Tube)). 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, Theta is the angle of contact between liquid and the boundary of capillary tube, Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done, Outer Radius Of Tube of any figure is the radius of a larger circle of the two concentric circles that form its boundary & Inner Radius Of Tube of any figure is the radius of its cavity and the smaller radius among two concentric circles.
How to calculate Capillarity through Annular Space?
Capillarity through Annular Space is height raised by the liquid through an annular space is calculated using Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*(Outer Radius Of Tube-Inner Radius Of Tube)). To calculate Capillarity through Annular Space, you need Surface Tension (σ), Theta (θ), Specific Weight (γ), Outer Radius Of Tube (router) & Inner Radius Of Tube (rinner). With our tool, you need to enter the respective value for Surface Tension, Theta, Specific Weight, Outer Radius Of Tube & Inner Radius Of Tube 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 Capillarity Height?
In this formula, Capillarity Height uses Surface Tension, Theta, Specific Weight, Outer Radius Of Tube & Inner Radius Of Tube. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific weight of liquid*Radius Of Circular Tube*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2))
  • Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*Uniform Gap between Vertical Plates)
  • Capillarity Height = (4*Surface Tension*cos(Theta))/(Specific Weight*Diameter of Tube)
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