Question

The loss coefficient ($K_L$) of a sudden expanding pipe (stepped pipe, reservoir, etc.) is affected by the change in area as follows: $K_L = \left(1 - \frac{A_{small}}{A_{large}}\right)^2$ It is known that a pipe with diameter 5 cm is connected by a cube acted as reservoir. Determine the cross-section area so that the reservoir will have $K_L$ of close to 1. Draw the graph to correlate between the side length of the cube and the $K_L$ of the connection. Discuss the finding. Hints: 1. Draw the connecting system between pipe and reservoir. 2. Determine the area of pipe and area of reservoir as the function of s. 3. Calculate the loss coefficient starting with s = 0. 4. Increase the value of s step-by-step, draw in a graph. 5. Determine at which point the loss coefficient is close to 1. 6. Discuss the finding.

          The loss coefficient ($K_L$) of a sudden expanding pipe (stepped pipe, reservoir, etc.) is affected by the change in area as follows:
$K_L = \left(1 - \frac{A_{small}}{A_{large}}\right)^2$
It is known that a pipe with diameter 5 cm is connected by a cube acted as reservoir. Determine the cross-section area so that the reservoir will have $K_L$ of close to 1. Draw the graph to correlate between the side length of the cube and the $K_L$ of the connection. Discuss the finding.
Hints:
1. Draw the connecting system between pipe and reservoir.
2. Determine the area of pipe and area of reservoir as the function of s.
3. Calculate the loss coefficient starting with s = 0.
4. Increase the value of s step-by-step, draw in a graph.
5. Determine at which point the loss coefficient is close to 1.
6. Discuss the finding.

The loss coefficient (KL) of a sudden expanding pipe (stepped pipe, reservoir, etc.) is affected by the change in area as follows:
KL = (1 - (Asmall)/(Alarge))^2
It is known that a pipe with diameter 5 cm is connected by a cube acted as reservoir. Determine the cross-section area so that the reservoir will have KL of close to 1. Draw the graph to correlate between the side length of the cube and the KL of the connection. Discuss the finding.
Hints:
1. Draw the connecting system between pipe and reservoir.
2. Determine the area of pipe and area of reservoir as the function of s.
3. Calculate the loss coefficient starting with s = 0.
4. Increase the value of s step-by-step, draw in a graph.
5. Determine at which point the loss coefficient is close to 1.
6. Discuss the finding.

Added by Evelyn F.

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