Mean Depth Calculator
Calculate mean hydraulic depth of a channel cross-section.
Understanding Mean Depth Calculator
Mean depth (or hydraulic depth) is the cross-sectional area divided by the top width of the water surface. Used in open channel flow calculations.
$$D_m = \frac{A}{T}$$
How to use this calculator
- Enter the flow area of the cross-section, usually in square feet or square meters.
- Enter the top width of the water surface, in feet or meters.
- Check that both values use matching units so the result is meaningful.
- Read the mean hydraulic depth from the calculator, which is computed as area divided by top width.
The formula explained
The formula computes mean hydraulic depth by dividing the cross-sectional flow area by the top width of the water surface. In symbols, \(D_m = \frac{A}{T}\).
- \(D_m\) = mean hydraulic depth
- A = flow area of the channel cross-section
- T = top width of the water surface
Step by step method
- Measure or determine the flow area \(A\) of the channel cross-section.
- Measure the top width \(T\) of the water surface.
- Divide \(A\) by \(T\) to get \(D_m\).
- Write the result with the correct length units, such as feet or meters.
Worked example
Problem. A channel has a flow area of \(24\) square meters and a top width of \(6\) meters. Find the mean hydraulic depth.
- Use the formula \(D_m = \frac{A}{T}\).
- Substitute the values, \(D_m = \frac{24}{6}\).
- Compute the quotient, \(D_m = 4\) meters.
Answer. \(D_m = 4\) m
Tips and common mistakes
- Make sure \(A\) and \(T\) use compatible units, because the result must be a length.
- Do not confuse mean hydraulic depth with average water depth, since they are not always the same.
Frequently asked questions
How do I use the mean depth calculator?+
Enter the cross-sectional flow area, A, and the top width of the water surface, T. The calculator uses Dm = A / T to give the mean hydraulic depth in the same length units as your inputs, such as meters or feet.
What does mean hydraulic depth mean in the formula Dm = A/T?+
Mean hydraulic depth is the flow area divided by the water surface width, so it describes how much area of water exists per unit of top width. It is commonly used in open-channel flow calculations because it helps relate channel shape to flow behavior.
What units should I use for area and top width?+
Use consistent length units, because the result depends on the ratio A/T. For example, if A is in square meters and T is in meters, Dm will be in meters.
What happens if the top width is zero or very small?+
If T is zero, the formula is undefined because division by zero is not possible. A very small top width will produce a very large mean depth, so the input should match a real channel cross-section and not a dry or invalid case.
How is mean depth different from average water depth?+
Mean hydraulic depth is not just the simple average of several measured depths across the channel, it is defined specifically as A/T. That makes it a geometric property of the cross-section, which is why it is used in hydraulic formulas like the hydraulic radius and Froude number.
More Physics Tools
Explore related calculators in this category
AC to DC Converter Calculator
Convert AC voltage to DC voltage for different rectifier configurations. Free online calculator with instant, step-by-step results.
Acceleration Calculator
Calculate acceleration from velocity change and time.
Amount of Substance Calculator
Calculate number of moles from mass and molar mass.
Angular Acceleration Calculator
Calculate angular acceleration from change in angular velocity.
You Might Also Like
Popular tools from other categories
Geometric Mean Calculator
Calculate the geometric mean of a set of positive numbers.
Harmonic Mean Calculator
Calculate the harmonic mean of a set of positive numbers.
Mean Calculator: Find Arithmetic Average
Calculate the arithmetic mean (average) of a set of numbers step-by-step with formulas and worked examples.
Root Mean Square (RMS) Calculator
Calculate the RMS of a set of values.
Can't Find the Right Calculator?
Try our AI Math Solver, type any problem in plain English and get instant step-by-step solutions.