Question

Pipeline fluid flows are indicated below. Determine the maximum flow from Node 1 to Node 5.

From Node	To Node	Fluid Flow
1	2	300
2	1	0
1	3	0
3	1	150
1	4	200
4	1	200
1	5	100
5	1	100
2	4	200
4	2	200
3	4	250
4	3	300
3	5	300
5	3	250
4	5	100
5	4	0

Answer 1

ANSWER:

From the given table, the maximum flow from Node 1 to Node 5

There are two methods to find the maximum flow

i) Direct method

ii) Indirect method

i)

By using direct method The maximum fluid flow from Node 1 to Node 5 is 100 as per the given pipeline fluid flow indication given in the question.

Also we can see from the indication that fluid flow from Node 5 to Node 1 is also 100.

Therefore the maximum fluid flow from Node 1 to Node 5 is 100.

ii)

By using indirect method maximum flow from Node 1 to Node 5

• maximum flow from Node 1 to Node 2 is 300
• maximum flow from Node 2 to Node 4 is 200
• maximum flow from Node 4 to Node 5 is 100

So ,Total maximum flow from Node 1 to Node 5 is (300 + 200 + 100) = 600

By direct method maximum flow from Node 1 to Node 5 is 100

By indirect method maximum flow from Node 1 to Node 5 is 600

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