Iterative Cubic Spline Technique To Approximate Two-Dimensional And Axisymmetric Flow of A Viscous Incompressible Fluid

2021 ◽  
Vol 67 (8) ◽  
pp. 175-184
Author(s):  
Pinky Shah ◽  
Priti Tandel
Keyword(s):  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Axisymmetric Flow ◽  
Cubic Spline ◽  
Two Dimensional

Effects of Heat Transfer During Peristaltic Transport in Nonuniform Channel With Permeable Walls

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Siddharth Shankar Bhatt ◽  
Amit Medhavi ◽  
R. S. Gupta ◽  
U. P. Singh
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Incompressible Fluid ◽  
Friction Force ◽  
Viscous Incompressible Fluid ◽  
Peristaltic Transport ◽  
Two Dimensional ◽  
Peristaltic Motion ◽  
Long Wavelength ◽  
Permeable Walls

In the present investigation, problem of heat transfer has been studied during peristaltic motion of a viscous incompressible fluid for two-dimensional nonuniform channel with permeable walls under long wavelength and low Reynolds number approximation. Expressions for pressure, friction force, and temperature are obtained. The effects of different parameters on pressure, friction force, and temperature have been discussed through graphs.

Selected topics in the history of the two-dimensional biharmonic problem

2003 ◽  
Vol 56 (1) ◽  
pp. 33-85 ◽  
Author(s):  
VV Meleshko
Keyword(s):  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Review Article ◽  
Creeping Flow ◽  
Two Dimensional ◽  
Historical Overview ◽  
Biharmonic Problem ◽  
Isotropic Plates ◽  
History Of ◽  
Analytical Approaches

This review article gives a historical overview of some topics related to the classical 2D biharmonic problem. This problem arises in many physical studies concerning bending of clamped thin elastic isotropic plates, equilibrium of an elastic body under conditions of plane strain or plane stress, or creeping flow of a viscous incompressible fluid. The object of this paper is both to elucidate some interesting points related to the history of the problem and to give an overview of some analytical approaches to its solution. This review article contains 758 references.

scholarly journals On periodic Stokesian Hele-Shaw flows with surface tension

2008 ◽  
Vol 19 (6) ◽  
pp. 717-734 ◽  
Author(s):  
J. ESCHER ◽  
B.-V. MATIOC
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Incompressible Fluid ◽  
Classical Solution ◽  
Small Perturbation ◽  
Darcy’S Law ◽  
Viscous Incompressible Fluid ◽  
Darcy's Law ◽  
Two Dimensional ◽  
Unique Classical Solution

In this paper we consider a 2π-periodic and two-dimensional Hele-Shaw flow describing the motion of a viscous, incompressible fluid. The free surface is moving under the influence of surface tension and gravity. The motion of the fluid is modelled using a modified version of Darcy's law for Stokesian fluids. The bottom of the cell is assumed to be impermeable. We prove the existence of a unique classical solution for a domain which is a small perturbation of a cylinder. Moreover, we identify the equilibria of the flow and study their stability.

scholarly journals Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Saeed Dinarvand ◽  
Abed Moradi
Keyword(s):  
Shooting Method ◽  
Homotopy Perturbation Method ◽  
Viscous Incompressible Fluid ◽  
Axisymmetric Flow ◽  
Two Dimensional ◽  
Parallel Plates ◽  
Homotopy Perturbation ◽  
Two Dimensional Flow ◽  
Squeeze Number ◽  
Flow Case

The flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates for two cases, the two-dimensional flow case and the axisymmetric flow case, is investigated. The governing nonlinear equations and their associated boundary conditions are transformed into a highly non-linear ordinary differential equation. The series solution of the problem is obtained by utilizing the homotopy perturbation method (HPM). Graphical results are presented to investigate the influence of the squeeze number on the velocity, skin friction, and pressure gradient. The validity of our solutions is verified by the numerical results obtained by shooting method, coupled with Runge-Kutta scheme.

The effect of the temperature distribution along the perimeter of the boundary on the the flow in the convective Rayleigh-Benard cell

2011 ◽  
Vol 8 (1) ◽  
pp. 116-123
Author(s):  
V.L. Malyshev ◽  
E.F. Moiseeva ◽  
K.V. Moiseyev
Keyword(s):  
Natural Convection ◽  
Heat Exchange ◽  
Temperature Distribution ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Maximum Speed ◽  
Two Dimensional ◽  
Rayleigh Benard ◽  
Dimensional Cell

This paper is devoted to the study of the natural convection of a viscous incompressible fluid in a two-dimensional cell with combined vertical and horizontal heating in symmetrical and asymmetrical cases; investigation of the dependence of the maximum speed and intensity of heat exchange on different heating regimes.

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