Application of finite difference method in MHD differential type fluid flow in rotating frame

2014 ◽  
Author(s):  
Shafaruniza Mahadi ◽  
Farah Suraya Md Nasrudin ◽  
Faisal Salah ◽  
Zainal Abdul Aziz
Keyword(s):  
Fluid Flow ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Rotating Frame ◽  
Differential Type

A Mathematical Model for the Analysis of Fluid Flow in a Scroll

1986 ◽  
Vol 108 (1) ◽  
pp. 6-11 ◽  
Author(s):  
Shou-Rue Chen ◽  
Samuel S. Lee ◽  
Yuan Mao Huang
Keyword(s):  
Mathematical Model ◽  
Fluid Flow ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Flow Condition ◽  
Three Dimensional ◽  
Coordinate Transformations ◽  
Governing Equations ◽  
The Finite Difference Method

A three-dimensional mathematical model has been developed to simulate the flow condition in a scroll. Coordinate transformations are used as an effective tool to make the model universal, and the final governing equations are solved by the finite difference method. Three cases of scroll geometry have been investigated and the results are compared with one another to show the effects of scroll geometry on the flow condition at the outlet of the scroll.

scholarly journals Numerical Study for Unsteady Waves Generated by Flow over a Permeable Wavy Bed

Fluids ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 9
Author(s):  
Ikha Magdalena ◽  
Kemal Firdaus
Keyword(s):  
Fluid Flow ◽  
Numerical Model ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Value Problems ◽  
Potential Theory ◽  
Porous Layer ◽  
Difference Method ◽  
Numerical Study ◽  
Wave Profile

In this paper, we formulate a numerical model to study unsteady waves generated by fluid flow over a permeable wavy bed. The model is derived from boundary value problems using potential theory. We solve the model numerically using a finite difference method. As a result, we found that the flow over a porous layer generates wave disturbed by bumps on the porous layer. The simulation also showed that the wave profile shifts from the permeable bed. The results of this study can be incorporated into the design of submerged artificial and natural breakwaters.

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