Hydraulic jump lab- results.docx

RESULTS Height of channel = 4.28" Width of channel = 4.125" Volume of water in tank = 300 litres Conversion from inches to metres used = 0.254 Acceleration due to gravity = 9.81m2/s

Trial

Volume of water (m3)

Time (s)

Q (m3/s)

q(m2/s)

1

0.3

32.41

0.0093

0.0883

2

0.3

34.77

0.0086

0.0823

3

0.3

37.87

0.0079

0.0756

4

0.3

43.17

0.0069

0.0663

Table 1: Table showing the results obtained for Q and q from the four level of the jump tried.

Trial

Length of Depth, D (m) Jump (m) Location

1

0.95

Upstream Depth Critical Depth

2

0.98

Downstream depth Upstream depth Critical depth

3

1.03

Downstream depth Upstream depth Critical depth

4

0.84

Downstream depth Upstream depth Critical depth

Area Specific (m ) discharge , q (m2/s)

Specific Energy (m)

Theoretica Empirica Momentu l Energy l Energy m Loss (m) Loss (m)

Velocity (m/s)

Froude Number

0.088

0.215 0.139 0.173

0.040

0.042

0.01744 0.01288 0.01730

1.802 0.953 0.566

2.599 1.000 0.457

2

Depth, D (m) 0.0490 0.0051 0.0927 0.0097 0.1562 0.0164 0.0472 0.0884 0.1440

0.0049 0.0093 0.0151

0.082

0.202 0.133 0.161

0.033

0.041

0.01575 0.01173 0.01517

1.743 0.931 0.572

2.561 1.000 0.481

0.0460 0.0835 0.1288

0.0048 0.0088 0.0135

0.076

0.184 0.125 0.146

0.024

0.038

0.01374 0.01047 0.01282

1.645 0.905 0.587

2.449 1.000 0.522

0.0455 0.0766 0.1107

0.0048 0.0080 0.0116

0.066

0.154 0.115 0.129

0.014

0.025

0.01090 0.00879 0.01018

1.459 0.866 0.599

2.185 1.000 0.575

Down stream depth Table 2: Table of results showing the computed values of Froude's Number, Momentum, Specific energy and Energy Loss for the four trials of the hydraulic jump.

Specific Energy Curves 0.18 0.16 0.14 0.12 0.10 Depth, y/m

0.08 0.06 0.04 0.02 0.00 0.10

0.12

0.14

0.16

0.18

0.20

Specific Energy, E/m Specific Energy Trial 1

Specific Energy Trial 2

Specific Energy Trial 3

Specific Energy Trial 4

Figure 1: Graph showing the Specific energy curves obtained for the four trial test

0.22

0.24

(F+M)-Y Diagram 0.18 0.16 0.14 0.12 0.10 Upstream Depth, y1/m

0.08 0.06 0.04 0.02 0.00 0.008

0.009

0.010

0.011

0.012

0.013

0.014

0.015

0.016

0.017

0.018

Momentum Function, M/m^2 Momentum Trial 2

Momentum Trial 3

Momentum Trial 1

Figure 2: Graph showing the force-moment curves against upstream depth for the four trial levels tested

Momentum Trial 4

0.05 0.04 0.04 0.03 0.03 Energy loss / metre

0.02 0.02 0.01 0.01 0.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 Upstream Froude Number

Figure 3: Graphing showing the energy loss upstream of the hydraulic jump

Actual Energy Loss vs Upstream Froude Number

Graph representing the Length of the Hydrdaulic Jump, Lf/m vs Upstream Froude Number, Fr 1.15

1.05

0.95

Length of Hydraulic Jump, Lf/m

0.85

0.75

0.65

0.55 2.1

2.2

2.3

2.4

Upstream Froude Number, Fr

Figure 4: Graph showing the length of jump vs. the Froude's number.

2.5

2.6

2.7