Hydraulic Mean Depth of Channel given Drag Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic mean depth = Drag Force/(Unit Weight of Liquid*Bed Slope)
m = FD/(γw*)
This formula uses 4 Variables
Variables Used
Hydraulic mean depth - (Measured in Meter) - The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Unit Weight of Liquid - (Measured in Newton per Cubic Meter) - Unit Weight of Liquid is the weight of water per unit volume of water.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
STEP 1: Convert Input(s) to Base Unit
Drag Force: 80 Newton --> 80 Newton No Conversion Required
Unit Weight of Liquid: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required
Bed Slope: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = FD/(γw*S̄) --> 80/(9810*4)
Evaluating ... ...
m = 0.00203873598369011
STEP 3: Convert Result to Output's Unit
0.00203873598369011 Meter --> No Conversion Required
FINAL ANSWER
0.00203873598369011 0.002039 Meter <-- Hydraulic mean depth
(Calculation completed in 00.020 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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3 Hydraulic Mean Depth Calculators

Hydraulic Mean Depth given Self Cleansing Velocity
Go Hydraulic mean depth = ((Self Cleansing Velocity*Rugosity coefficient)/sqrt(Constant*Diameter of Grain*(Specific gravity of sediment-1)))^6
Hydraulic Mean Depth given Self Cleaning Invert Slope
Go Hydraulic mean depth = (Constant/Self Cleaning Invert Slope)*(Specific gravity of sediment-1)*Diameter of the grain
Hydraulic Mean Depth of Channel given Drag Force
Go Hydraulic mean depth = Drag Force/(Unit Weight of Liquid*Bed Slope)

Hydraulic Mean Depth of Channel given Drag Force Formula

Hydraulic mean depth = Drag Force/(Unit Weight of Liquid*Bed Slope)
m = FD/(γw*)

What is hydraulic mean depth ?

Hydraulic depth, abbreviated as dh, also called hydraulic mean depth, is the area cross-section of water in a pipe or channel divided by the wetting perimeter.

How to Calculate Hydraulic Mean Depth of Channel given Drag Force?

Hydraulic Mean Depth of Channel given Drag Force calculator uses Hydraulic mean depth = Drag Force/(Unit Weight of Liquid*Bed Slope) to calculate the Hydraulic mean depth, The Hydraulic Mean Depth of Channel given Drag Force is defined as the depth which, when multiplied by the top water surface width T is equal to the irregular section area. Hydraulic mean depth is denoted by m symbol.

How to calculate Hydraulic Mean Depth of Channel given Drag Force using this online calculator? To use this online calculator for Hydraulic Mean Depth of Channel given Drag Force, enter Drag Force (FD), Unit Weight of Liquid w) & Bed Slope (S̄) and hit the calculate button. Here is how the Hydraulic Mean Depth of Channel given Drag Force calculation can be explained with given input values -> 0.002039 = 80/(9810*4).

FAQ

What is Hydraulic Mean Depth of Channel given Drag Force?
The Hydraulic Mean Depth of Channel given Drag Force is defined as the depth which, when multiplied by the top water surface width T is equal to the irregular section area and is represented as m = FD/(γw*S̄) or Hydraulic mean depth = Drag Force/(Unit Weight of Liquid*Bed Slope). Drag Force is the resisting force experienced by an object moving through a fluid, Unit Weight of Liquid is the weight of water per unit volume of water & Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
How to calculate Hydraulic Mean Depth of Channel given Drag Force?
The Hydraulic Mean Depth of Channel given Drag Force is defined as the depth which, when multiplied by the top water surface width T is equal to the irregular section area is calculated using Hydraulic mean depth = Drag Force/(Unit Weight of Liquid*Bed Slope). To calculate Hydraulic Mean Depth of Channel given Drag Force, you need Drag Force (FD), Unit Weight of Liquid w) & Bed Slope (S̄). With our tool, you need to enter the respective value for Drag Force, Unit Weight of Liquid & Bed Slope 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 Hydraulic mean depth?
In this formula, Hydraulic mean depth uses Drag Force, Unit Weight of Liquid & Bed Slope. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Hydraulic mean depth = (Constant/Self Cleaning Invert Slope)*(Specific gravity of sediment-1)*Diameter of the grain
  • Hydraulic mean depth = ((Self Cleansing Velocity*Rugosity coefficient)/sqrt(Constant*Diameter of Grain*(Specific gravity of sediment-1)))^6
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