Discharge Rate Given Height At Outlet Zone With Respect To Area Of Tank Calculator

Formula Used:

\[ Q = v' \times A \times \frac{h}{H} \]

Falling Speed (v'):

m/s

Area (A):

m²

Height of Crack (h):

Outer Height (H):

Discharge Rate (Q):

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1. What is Discharge Rate?

Discharge refers to the rate of flow of a liquid. It is a crucial parameter in fluid dynamics and engineering applications, representing the volume of fluid passing through a given cross-section per unit time.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = v' \times A \times \frac{h}{H} \]

Where:

\( Q \) — Discharge rate (m³/s)
\( v' \) — Falling speed (m/s)
\( A \) — Area (m²)
\( h \) — Height of crack (m)
\( H \) — Outer height (m)

Explanation: The formula calculates the discharge rate by multiplying the falling speed by the area and the ratio of crack height to outer height.

3. Importance of Discharge Rate Calculation

Details: Accurate discharge rate calculation is essential for designing fluid systems, assessing flow characteristics, and ensuring proper operation of various engineering applications involving liquid flow.

4. Using the Calculator

Tips: Enter falling speed in m/s, area in m², height of crack in m, and outer height in m. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is falling speed in this context?
A: Falling speed refers to the constant speed at which a particle falls through a fluid when the force of gravity is balanced by the drag force and buoyant force acting on the particle.

Q2: How is area defined in this formula?
A: Area refers to the measure of the extent of a two-dimensional surface or shape in a plane, typically representing the cross-sectional area through which the fluid flows.

Q3: What does height of crack represent?
A: Height of crack refers to the size of a flaw or crack in a material that can affect fluid flow characteristics in the system.

Q4: What is outer height in this context?
A: Outer height refers to the external vertical dimension of an object or structure that contains the fluid flow.

Q5: What are typical units for discharge rate?
A: Discharge rate is typically measured in cubic meters per second (m³/s) in the SI system, though other units like liters per second may also be used.