The formula to calculate the circulation ratio (CR) is:
\[ CR = \frac{V_c}{V_s} \]
Where:
Let's say the total volume of fluid circulated (\( V_c \)) is 500 units, and the total volume of fluid in the system (\( V_s \)) is 1000 units. Using the formula:
\[ CR = \frac{500}{1000} \]
We get:
\[ CR = 0.5 \]
So, the circulation ratio (\( CR \)) is 0.5.
The circulation ratio is a measure used in various engineering and scientific fields to describe the relationship between the volume of fluid that is circulated through a system and the total volume of fluid within that system. It is an important parameter in processes such as chemical reactors, heat exchangers, and fluid transport systems. A higher circulation ratio indicates that a larger volume of fluid is being recirculated relative to the total volume, which can be crucial for ensuring efficient mixing, heat transfer, or chemical reactions within the system.
Definition: The boiler circulation ratio is the ratio of the mass of water circulated to the mass of steam generated.
Formula: \( CR = \frac{m_w}{m_s} \)
Example: \( CR = \frac{5000}{1000} \)
Definition: The flow rate ratio is the ratio of the flow rates of two different fluids or streams.
Formula: \( FRR = \frac{Q_1}{Q_2} \)
Example: \( FRR = \frac{200}{50} \)
Definition: The rate of blood flow is the volume of blood passing through a vessel per unit time.
Formula: \( Q = A \cdot v \)
Example: \( Q = 3.14 \cdot 2 \)
Definition: The circulation of a vector field is the line integral of the field along a closed curve.
Formula: \( \oint_C \mathbf{F} \cdot d\mathbf{r} \)
Example: \( \oint_C \mathbf{F} \cdot d\mathbf{r} = 5 \cdot 3 \)
Definition: The circulating load ratio is the ratio of the amount of solids going through the mill to the amount of solids going through the circuit.
Formula: \( CLR = \frac{Q_{in}}{Q_{out}} \)
Example: \( CLR = \frac{300}{150} \)
