Rate Of Discharge Of Water Actually Lifted By Ram Calculator

Formula Used:

\[ q_a = \frac{\pi}{4} \times d_s^2 \times \frac{V_{max}}{2} \times \frac{t_2}{t} \]

Diameter of Supply Pipe in Ram:

Maximum Velocity in Supply Pipe of Ram:

m/s

Time during Closure of Waste Valve of Ram:

Total Time for One Cycle of Ram:

Discharge of Water Lifted by Ram:

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1. What is the Discharge of Water Lifted by Ram?

The Discharge of Water Lifted by Ram is the rate of the discharge of water actually lifted by the hydraulic ram. It represents the volume of water delivered per unit time from the hydraulic ram system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ q_a = \frac{\pi}{4} \times d_s^2 \times \frac{V_{max}}{2} \times \frac{t_2}{t} \]

Where:

\( q_a \) — Discharge of Water Lifted by Ram (m³/s)
\( d_s \) — Diameter of Supply Pipe in Ram (m)
\( V_{max} \) — Maximum Velocity in Supply Pipe of Ram (m/s)
\( t_2 \) — Time during Closure of Waste Valve of Ram (s)
\( t \) — Total Time for One Cycle of Ram (s)

Explanation: The formula calculates the actual discharge rate by considering the pipe geometry, maximum flow velocity, and timing characteristics of the hydraulic ram cycle.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for designing hydraulic ram systems, determining system efficiency, and ensuring proper water delivery for various applications.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for diameter, m/s for velocity, seconds for time). All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a hydraulic ram?
A: A hydraulic ram is a cyclic water pump powered by hydropower that takes in water at one hydraulic head and flow rate, and outputs water at a higher hydraulic head and lower flow rate.

Q2: How does the waste valve affect the discharge?
A: The waste valve controls the timing of water flow in the system. The time during which it remains closed (t₂) directly affects the amount of water lifted during each cycle.

Q3: What factors influence the maximum velocity in the supply pipe?
A: The maximum velocity depends on the head difference, pipe diameter, length, and friction characteristics of the supply pipe system.

Q4: How can I improve the discharge rate of a hydraulic ram?
A: Increasing the supply pipe diameter, optimizing the waste valve timing, or increasing the supply head can improve the discharge rate.

Q5: What are typical applications of hydraulic rams?
A: Hydraulic rams are commonly used for water supply in remote areas, irrigation systems, and any application where a low-head water source is available to pump water to a higher elevation.