Determine the characteristics of hydraulic jump in no time using the HYdraulic Jump Calculator over here. You can find the total head loss, flow velocity - up and downstreams, height and length of jump, etc. on entering the respective inputs accordingly.
Hydraulic Jump Calculator: If you are keen about learning Hydraulic Engineering then we are pretty much sure you might be interested in this Hydraulic Jump Calculator. Read on to know about What is meant by Hydraulic Jump, how to use Froude Number Equation to identify the Hydraulic Jump Type, various types of Hyadrulic Jumps, Characteristics of Hydraulic Jumps, etc.
Hydraulic Jump Occurs if a fluid flow changes from Supercrticial to Subcritical. This change in the flow characteristics is accompanied by substantial ebergy losses along with turbulence in the flow.
To understand the Hydraulic Jump in a better way one needs to know about the supercritical and subcritical flows. Before learning about these firstly know what exactly is critical depth. Depth of flow for which the energy is minimum at a given discharge Q is called Critical Depth.
Rather than investing time in analyzing the flow hydraulic engineers mostly prefer froude number equation to check if it is a supercritical flow or subcritical flow. We can calculate it for any open channel using the formula Fr = v / √(g * D)
If the Froude Number is greater than 1 then the flow is considered as Supercritical Flow and if it is less than 1 it is treated as subcritical flow. Looking at the Froude Number Equation closely we can say the denominator needs to have the units meters per second or feets per second.
The value in the denominator √(g * D) indicates the wave propogation velocity or wave celerity. Imagine you throw a pebble in the water and the ripples caused propogates on the surface due to the celerity.
In case of supercritical flow(Fr > 1) velocity of the flow is higher than the celerity. Due to this the waves or disturbances in the flow gets transmitted downstream. On the contrary if flow is subcritical (Fr < 1)1> Velocity of the flow is smaller than the celerity and the waves or disturbances gets transmitted upstream. In case of a critical flow the Froude Number is equal to Celerity and the waves neither move upstream nor downstream but stays in one place.
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Hydraulic Jump has several characteristics and we have included the equation for jump efficiency. All the formulas are only valid for certain assumptions and they are as under
1. Flow Rate Formula: In both upstream and downstream flows the discharge Q is equal to flow velocity v multiplied by the channel cross section surface area. Considering a non-varying rectangular channel the formula is given by Q = v * y * B
2. Conjugate Depth Equation: Momentum Functions of flow depths upstream and downstream are equal. We can say that the depths y1 and y2 are conjugate depths and uses the formula y₂/y₁ = 0.5 * [√(1 + 8 * Fr₁²) - 1]
3. Head Loss Formula: In Hydraulic Jump although momentum is conserved certain energy is lost. This Energy Loss is known as Head Loss and is given by the formula ΔE = (y₂ - y₁)³ / (4 * y₁ * y₂)
4. Hydraulic Jump Length Equation: The Equation to determine the length of a hydraulic jump is found in several experiments. However, this is an approximation and the real length of hydraulic jump may vary based on several factors such as flow turbulance i.e. L = 220 * y₁ * tanh[(Fr₁ - 1) / 22]
5. Hydraulic Jump Height Formula: Hydraulic Jump Height is nothing but the difference between flow depth downstream and upstream. Since the flow is supercritical it is always a lower flow depth and is given by formula h = y₂ - y₁
6. Jump Efficiency Equation: You can estimate what percent of energy is lost in a Hydraulic Jump and it depends on the Froude Number of Upstream Flow Fr₁. Its equation is given by En = [[√(8 * Fr₁² + 1)]³ - 4 * Fr₁² + 1] / [8 * Fr₁² * (2 + Fr₁²)] * 100%
The type of Hydraulic Jump majorly depends on the Froude Number Fr₁. The Below ranges indicates different types of jumps having different flow patterns.
1. How do you Calculate the Hydraulic Jump?
You can calculate the hydraulic jump by smply finding the difference between flow depth downstream and upstream.
2. What is the Jump Efficiency Equation?
Jump Efficiency Equation is given by En = [[√(8 * Fr₁² + 1)]³ - 4 * Fr₁² + 1] / [8 * Fr₁² * (2 + Fr₁²)] * 100%
3. What are the types of Hydraulic Jump?
The Types of Hydraulic Jumps are Undular jump, Weak Jump, Oscillating Jump, Steady Jump, Strong Jump, etc.
4. What is Froude Number Equation?
Froude Number Equation is given by the formula Fr = v / √(g * D)