Answer fast Example 5 (Max-flow Min-cut). Obtain a maximum flow and minimum cut inthe network shown below. In the figure, the arc label is denoted by (f,c),where f is the flow along the arc and c is the capacity of the arc.0,188, 144,1410, 108.82,106412, 2088,818, 186,66,166,612, 165

Approach to solving the question ObservationsArc Labels - Each arc has a label formatted as f,c,…

Answered: Example 5 (Max-flow Min-cut). Obtain a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Situation 1: For the pipe network shown, the flow of water from the reservoir A to the junction is 0.035 cu.m.per second. Pipe 1: L = 300 m, D 202.70 mm, f = 0.015 Pipe 4: L = 300 m, D = 381 mm, f 0.015 Pipe 5: L = 450 m, D 303.20 mm, f 0.015 %3D Pipe 2: L = 150 m, D 202.70 mm, f 0.015 Pipe 3: L 75 m, D 202.70 mm, f 0.015 A B Q, = 0.035cumecs 4. Determine the flow in the upper branch Q2. 5. Determine the flow in the lower branch Q3. 6. Determine the flow in the lower branch Q4. 7. Determine the total head loss between the inlet A and the outlet B.
For a two dimensional flow field, the stream function Y is given as Y ²²2 (2²-2² - x²). The magnitude of discharge occurring between the stream lines passing through points (0, 3) and (3, 4) is:
If a two dimensional flow field is defined as V = xỉ – yj then A The flow is occurring along a straight line. The flow is occurring along a circular path. The flow doesn't exist. D The flow is occurring in a hyperbolic path. Correct Option
Write the boundary condition for the flow
A flow is described by the flow field of V = A(1 + Bt)î + Ctyĵ, where A=1 m/s, B=1 s¹, and C=1 s². The unit for the coordinates is meters. a. Plot the pathline that passes through the point (x=1 m, y=1 m) at time t=0 b. Compare the streamlines through the point (x=1 m, y=1 m) at time t=0, 1, and 2 s c. Calculate the acceleration at time t=0 along the streamline passing the point (x-1 m, y=1 m) at time t=0
A circular conduit is to satisfy the following conditions: Capacity when flowing full is 0.13 m³.sec¹, velocity when the depth is one quarter of the diameter is 0.6 m.sec¹¹. Assume the flow is uniform and determine the diameter and the slope of the pipe if you know that Chezy's coefficient is 58 mº.5 sec¹? Answer// D= 460 mm; S= 0.00158
For the half-Vee channel in Fig., let the interiorangle of the Vee be θ. For a given value of area, slope, andn, find the value of θ for which the flow rate is a maximum.To avoid cumbersome algebra, simply plot Q versus θ forconstant A.
The design of a city water supply is shown below. Pipe 1 is 300 mm diameter and 900 m long, Pipe 2 is 200 mm diameter and 387 mm long and pipe 3 is 200 mm diameter and 700 m long. The roughness coefficient for all pipes is 0.011. Determine the headloss in pipe 1 in m. EL 160 M A EL 150 M В EL 140 M C 3/
For a 2-D flow field, the stream function y 3 y==(y²-x²). is given as 2 The magnitude of discharge occurring between the stream line passing through points (0, 3) and (3, 4) is
A pipe, diameter 15 cm, leaves a straight pipe with a diameter of 10 cm at point A, and later rejoins it at a downstream point B. The distance AB on the straight 10 cm pipe is 700 m. How long will the 15 cm pipe have to be in order that the flow in the two parallel pipes may be equal? Use f=0.020, and neglect minor losses. 4892 m. 5315 m. 6072 m. 4367 m.
What does a negative flow rate mean?A. This value is incorrect and shall be indicative of wrong computation.B. The head loss is actually a head gain.C. The correct direction is opposite of the assumed direction of the flow rate.D. None of the above.
Q21: indicate if the flow fields are irrotational then determine the velocity potential and the corresponding stream function for each given flow field. u = x(1 + y) ,v = x - - y, u = 1+ xy v= (x² – y²). (b) (a) u = x +y v = 1+x- y, (d) u = 1- 2x v =1+ 2y, (c) (e) u = x - y v = 1-x- y.

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Example 5 (Max-flow Min-cut). Obtain a maximum flow and minimum cut in the network shown below. In the figure, the arc label is denoted by (f,c), where f is the flow along the arc and c is the capacity of the arc. 0,18 8, 14 4,14 10, 10 8.8 2,10 6 4 12, 20 8 8,8 18, 18 6,6 6,16 6,6 12, 16 5