Determination of Mean Depth of Flow Using Finite Difference Method for the Equation Obtained with Respect to Maximum Value of Manning’s Roughness Coefficient
- May 25, 2018
- Posted by: RSIS
- Category: Civil Engineering
International Journal of Research and Scientific Innovation (IJRSI) | Volume V, Issue V, May 2018 | ISSN 2321–2705
Dr. Birendra Kumar Singh
Civil Engineering Department, Birla Institute of Technology, Mesra, Ranchi-835215, Jharkhand, India.
Abstract: The mean depth of flow obtained from fourth order differential equation for the relationship of mean depth of flow and mean velocity of flow with respect to Manning’s roughness coefficient is found. The mean depth of flow obtained using finite difference method is nearly equal to the mean depth of flow given in 0.75-inch roughness bed data. Hence, finite difference method is appropriate.
Keywords: Mean velocity of flow, Mean depth of flow, Manning’s roughness coefficient, Differential equation, Finite difference method.
I. INTRODUCTION
The relationship for mean depth of flow and mean velocity of flow obtained with respect to maximum value of Manning’s roughness coefficient & 4th order differential equation is obtained and analysis is made using Finite difference method. The mean depth of flow obtained using finite difference method is nearly equal to the mean depth of flow given in 0.75 inch roughness bed data hence finite difference method is appropriate.
II. EXPERIMENTAL SETUP & PROCEDURES
Flume Data 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.
Data Availability: – Please refer the observation table section for the data collected.
