Formation of Non-Linear Equation for Mean Depth of Flow and Discharge of Flow

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 = ax^b

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

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