An approximate analytic solution of uniform laminar flow in a circular open channel

2021 ◽  
Vol 43 (6) ◽  
Author(s):  
Kenan Kaya ◽  
Oktay Özcan
Keyword(s):  
Laminar Flow ◽  
Open Channel ◽  
Analytic Solution ◽  
Approximate Analytic Solution

scholarly journals An approximate analytic solution of a particular boundary value problem

2001 ◽  
Vol 27 (8) ◽  
pp. 513-520
Author(s):  
Ugur Tanriver ◽  
Aravinda Kar
Keyword(s):  
Boundary Value Problem ◽  
Heat Conduction Equation ◽  
Analytic Solution ◽  
Boundary Value ◽  
Three Dimensional ◽  
Welding Process ◽  
Approximate Analytic Solution ◽  
Analytic Expression ◽  
Steady State Heat ◽  
Laser Welding Process

This note is concerned with the three-dimensional quasi-steady-state heat conduction equation subject to certain boundary conditions in the wholex′y′-plane and finite inz′-direction. This type of boundary value problem arises in laser welding process. The solution to this problem can be represented by an integral using Fourier analysis. This integral is approximated to obtain a simple analytic expression for the temperature distribution.

Dispersion of Pollutants in Open-Channel Laminar Flow

1977 ◽  
pp. 221-262 ◽  
Author(s):  
H. P. Hsieh ◽  
Gi Yong Lee ◽  
William N. Gill
Keyword(s):  
Laminar Flow ◽  
Open Channel

MATHEMATICAL SOLUTION OF FINGERING PHENOMENON IN VERTICAL DOWNWARD DIRECTION THROUGH HETEROGENEOUS POROUS MEDIUM

2021 ◽  
Vol 10 (1) ◽  
pp. 483-496
Author(s):  
D.A. Shah ◽  
A.K. Parikh
Keyword(s):  
Porous Medium ◽  
Oil Recovery ◽  
Analytic Solution ◽  
Variational Iteration Method ◽  
Approximate Analytic Solution ◽  
Order Partial Differential Equation ◽  
Heterogeneous Porous Medium ◽  
Fingering Instability ◽  
Oil Flow ◽  
Secondary Oil Recovery

Present study explores the Fingering (Instability) phenomenon's mathematical model that ensues during the process of secondary oil recovery where two not miscible fluids (water and oil) flow within a heterogeneous porous medium as water is injected vertically downwards. Variational iteration method with proper initial and boundary conditions is being used to determine approximate analytic solution for governing nonlinear second order partial differential equation. Whereas MATLAB is applied to acquire the solution's numerical findings and graphical representations.

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