Mathematical model development of modified flow dispersion stress tensor in 2-D curvilinear flow domain

International Conference on Startup Ventures: Technology Developments and Future Strategies

社会科学（总论）

Akhtar, M.P.^1 ; Sharma, Nayan^2 ; Ojha, C.S.P.^3

Department of Civil Engineering, Manipal University, Jaipur

203007, India^1

Department of Water Resources Development and Management, Indian Institute of Technology Roorkee, Roorkee

247667, India^2

Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee

2467667, India^3

关键词: 2D numerical models;    Depth-averaged flows;    Depth-averaged velocities;    Empirical relations;    Flow dispersions;    Mathematical functions;    Momentum equation;    Stress tensors;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/594/1/012040/pdf
DOI  :  10.1088/1757-899X/594/1/012040

学科分类：社会科学、人文和艺术（综合）

来源: IOP

【 摘 要 】

For 2-D simulation of curvilinear flow field, use of momentum equations involves flow dispersion stress terms. Dispersion Stress terms take into account the effect of secondary flow variation arisen due to integration of the product of discrepancy between depth averaged velocity and the true velocity distributions. The objective of this paper is to present empirical mathematical functions to evaluate these terms. These terms can be incorporated in the 2D depth averaged flow equations as an additional source/sink term. In this work, the derivation is done to get revised set of empirical relations are later used in development of enhanced 2D numerical model. When compared with earlier investigations, the proposed formulations are simplified and numerically compatible. It is expected that modified formulation for flow dispersion stress tensor will lead to more realistic and improved simulation of flow field in curved flow domain.