scholarly journals A Finite Difference Scheme for Double-Diffusive Unsteady Free Convection from a Curved Surface to a Saturated Porous Medium with a Non-Newtonian Fluid

2011 ◽  
Vol 4 ◽  
pp. 948-957 ◽  
Author(s):  
M.F. El-Amin ◽  
Shuyu Sun
Keyword(s):  
Porous Medium ◽  
Finite Difference ◽  
Free Convection ◽  
Difference Scheme ◽  
Newtonian Fluid ◽  
Finite Difference Scheme ◽  
Saturated Porous Medium ◽  
Curved Surface ◽  
Double Diffusive

AN ITERATIVE NONUNIFORMLY SPACED FINITE DIFFERENCE SCHEME FOR COMPUTATIONAL FLUID DYNAMICS

2001 ◽  
Vol 12 (07) ◽  
pp. 1023-1033
Author(s):  
ANDREAS HORRAS ◽  
GERALD H. RISTOW
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Finite Difference ◽  
Difference Scheme ◽  
Newtonian Fluid ◽  
Finite Difference Scheme ◽  
Infinite System ◽  
System Size ◽  
Terminal Velocity ◽  
Staggered Grid

The settling dynamics of cylinders in a viscous Newtonian fluid are investigated numerically using an iterative finite difference scheme, which uses a nonuniformly spaced staggered grid. Special attention is given to the details of the spatial discretization and how they influence the physical results. The terminal velocity is calculated for different system sizes and cylinder diameters and the extrapolated values for an infinite system size are compared with the Oseen approximation.

scholarly journals Thermal radiation and mass transfer effects on MHD free convection flow past a vertical cylinder with variable surface temperature and concentration

2010 ◽  
Vol 6 (1) ◽  
pp. 1-15 ◽  
Author(s):  
M. M. Gnaneswara Reddy ◽  
N. Bhaskar Reddy
Keyword(s):  
Mass Transfer ◽  
Finite Difference ◽  
Free Convection ◽  
Thermal Radiation ◽  
Surface Temperature ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Vertical Cylinder ◽  
Variable Surface ◽  
Variable Surface Temperature

The interaction of free convection with thermal radiation of a viscous incompressible unsteady MHD flow past a vertical cylinder with variable surface temperature and concentration is analyzed. The fluid is a gray, absorbing-emitting but non-scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The governing equations are solved using an implicit finite-difference scheme of Crank-Nicolson type. Numerical results for the transient velocity, the temperature, the concentration, the local as well as average skin-friction, the rate of heat and mass transfer are shown graphically. It is observed that the presence of as well as increase in the magnetic field leads to decrease in the velocity field and rise in the thermal boundary thickness. The numerical predications have been compared with the existing information in the literature and good agreement is obtained.Keywords: Heat Transfer, radiation, finite-difference Scheme, vertical cylinderDOI: 10.3329/jname.v5i2.2615Journal of Naval Architecture and Marine Engineering 6(1)(2009) 1-24 

scholarly journals An unconditionally stable implicit difference scheme for 2D porous medium equations using four-point NEGMSOR iterative method

2018 ◽  
Vol 20 ◽  
pp. 02004
Author(s):  
Chew Jackel Vui Lung ◽  
Jumat Sulaiman
Keyword(s):  
Porous Medium ◽  
Finite Difference ◽  
Iterative Method ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Nonlinear Approximation ◽  
Solution Vector ◽  
Implicit Finite Difference Scheme ◽  
Porous Medium Equations ◽  
Implicit Finite Difference

In this paper, a numerical method has been proposed for solving several two-dimensional porous medium equations (2D PME). The method combines Newton and Explicit Group MSOR (EGMSOR) iterative method namely four-point NEGMSOR. Throughout this paper, an initialboundary value problem of 2D PME is discretized by using the implicit finite difference scheme in order to form a nonlinear approximation equation. By taking a fixed number of grid points in a solution domain, the formulated nonlinear approximation equation produces a large nonlinear system which is solved using the Newton iterative method. The solution vector of the sparse linearized system is then computed iteratively by the application of the four-point EGMSOR method. For the numerical experiments, three examples of 2D PME are used to illustrate the efficiency of the NEGMSOR. The numerical result reveals that the NEGMSOR has a better efficiency in terms of number of iterations, computation time and maximum absolute error compared to the tested NGS, NEG and NEGSOR iterative methods. The stability analysis of the implicit finite difference scheme used on 2D PME is also provided.

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