Potential Flow Past a Circular Cylinder of a Homogeneous Inviscid Fluid

2017 ◽  
pp. 263-301
Author(s):  
David J. Wollkind ◽  
Bonni J. Dichone
Keyword(s):  
Circular Cylinder ◽  
Potential Flow ◽  
Inviscid Fluid ◽  
Flow Past

Potential Flow Past a Slightly Deformed Porous Circular Cylinder Embedded in a Porous Bed

2007 ◽  
Vol 11 (2) ◽  
pp. 193-204 ◽  
Author(s):  
G. P. Raja Sekhar ◽  
Anindita Bhattacharyya
Keyword(s):  
Circular Cylinder ◽  
Potential Flow ◽  
Porous Bed ◽  
Flow Past

scholarly journals A Bernoulli equation for potential flow of incompressible materials with an inherent material characteristic length

2013 ◽  
Vol 469 (2151) ◽  
pp. 20120641 ◽  
Author(s):  
M. B. Rubin
Keyword(s):  
Circular Cylinder ◽  
Constitutive Equations ◽  
Potential Flow ◽  
Size Dependence ◽  
Characteristic Length ◽  
Inviscid Fluid ◽  
Bernoulli Equation ◽  
Material Characteristic ◽  
Velocity Gradients ◽  
Incompressible Materials

A general simple continua can be enhanced by constitutive equations which depend on the acceleration and velocity gradients to model the effects of a material characteristic length. This paper shows that for irrotational flows of a class of incompressible materials this model yields a Bernoulli equation. Consequently, for this class of materials and flows, it is possible to satisfy the balance of linear momentum exactly, including the effect of a material characteristic length which introduces size dependence of solutions. An example of a rigid circular cylinder moving through an inviscid fluid is considered to demonstrate dependence of the motion on the size of the cylinder.

Potential Flow Past a Slightly Deformed Porous Circular Cylinder

2009 ◽  
Vol 81 (3) ◽  
pp. 367-389
Author(s):  
Anindita Bhattacharya ◽  
G. P. Raja Sekhar
Keyword(s):  
Circular Cylinder ◽  
Potential Flow ◽  
Flow Past

Diffusion and convection of heat in the potential flow past a circular cylinder

1970 ◽  
Vol 67 (1) ◽  
pp. 181-193 ◽  
Author(s):  
E. J. Norminton
Keyword(s):  
Circular Cylinder ◽  
Heat Source ◽  
Potential Flow ◽  
Mathieu Functions ◽  
Flow Past ◽  
Diffusion And Convection

The problem of the diffusion and convection of heat from an arbitrarily placed heat source in the potential convection field due to uniform streaming past an infinite circular cylinder is considered. Solutions are obtained for the regions inside and outside the cylinder and are given in terms of Mathieu Functions. An appendix giving the required properties of these functions is included.

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