Formation of Non-Linear Equation for Mean Depth of Flow and Discharge of Flow
- May 31, 2018
- Posted by: RSIS
- Category: Civil Engineering
International Journal of Research and Scientific Innovation (IJRSI) | Volume V, Issue V, May 2018 | ISSN 2321–2705
Formation of Non-Linear Equation for Mean Depth of Flow and Discharge of Flow
Dr. Birendra Kumar Singh
Civil Engineering Department, Birla Institute of Technology, Mesra, Ranchi-835215 (Jharkhand), India
Abstract: -The relationship between mean depth of flow and discharge of flow in non-linear form is obtained. And we find that after adjusting the coefficient used in equation, we get the appropriate relationship between mean depth of flow and discharge of flow in non-linear form.
Keywords: Mean depth of flow, Discharge of Flow, Non-linear form, Maximum depth of flow.
I. INTRODUCTION
After adjusting the coefficient of discharge of flow in the developed equation betweenmean depth of flow and discharge of flow we get appropriate value of mean depth of flow compared to any 0.75-inch roughness bed flume data.
II. EXPERIMENTAL SETUP & PROCEDURES
FlumeData were obtained for 0.75-inch roughness bed.
Flume: -The flume is open and it is 1.168m wide and 9.54m long. Roughness bed was obtained by smearing masonite boards with fiberglass resin. The boards were screwed to the bed of the flume.
Experimental Procedure: -Five to seven flows were taken for three different slopes (2, 5 and 8%). At each flow, depth was measured at a single cross section, so that channel properties could be calculated.
III. OBSERVATIONS
(Note: For data collected, refer to section of Observation tables below)
For a relation of type y = axb
This is non-linear relation: –
Relationship between mean depth of flow and discharge of flow: –
x = Discharge of flow in m3/sec
y = Mean depth of flow in meter
Σx = 0.44345 m3/sec
Σy = 0.6093 meter
Σxy = 0.01901
Σx2 = 0.0173
Σy2 = 0.02313
