Nonlinear Diffraction by a Vertical Cylinder

1989 ◽  
Author(s):  
David L. Kriebel
Keyword(s):  
Vertical Cylinder ◽  
Nonlinear Diffraction

Wave Diffraction Theory—Some Developments in Linear and Nonlinear Theory

1992 ◽  
Vol 114 (3) ◽  
pp. 185-194 ◽  
Author(s):  
R. Eatock Taylor ◽  
F. P. Chau
Keyword(s):  
Diffraction Problem ◽  
Surface Profile ◽  
Vertical Cylinder ◽  
Diffraction Theory ◽  
Second Order ◽  
Element Discretization ◽  
Nonlinear Diffraction ◽  
Recent Developments ◽  
Free Surface Profile ◽  
Order Element

The paper discusses recent developments aimed at improving the efficiency by which converged first and second-order results may be obtained. A higher-order element discretization of a novel integral equation is described. It is shown that this is capable of providing highly accurate first-order results based on a relatively small number of elements. Results are also given for the nonlinear diffraction problem, including comparisons with an analytical solution for a vertical cylinder. Practical use of these developments is illustrated by results for the second-order free surface profile in the vicinity of a tension leg platform.

Nonlinear Wave Interaction with Vertical Cylinder of Large Diameter

1977 ◽  
Vol 21 (02) ◽  
pp. 120-124
Author(s):  
H. Raman ◽  
N. Jothi Shankar ◽  
P. Venkatanarasaiah
Keyword(s):  
Nonlinear Wave ◽  
Large Diameter ◽  
Vertical Cylinder ◽  
Wave Interaction ◽  
Diffraction Theory ◽  
Second Order ◽  
Wave Forces ◽  
Height Distribution ◽  
Linear Solution ◽  
Nonlinear Diffraction

A nonlinear diffraction theory for interaction of waves with a vertical cylinder of large diameter is presented. The nonlinear second-order solution is examined in comparison with a linear solution and other existing second-order solutions. The computed nonlinear wave forces are found to compare very well with the experimental results. The effect of nonlinearity on the crest height distribution around the cylinder is also studied. It is found that as the ratio of wave height to water depth decreases the nonlinear solution approaches the linear solution.

scholarly journals NONLINEAR DIFFRACTION BY A VERTICAL CYLINDER

1988 ◽  
Vol 1 (21) ◽  
pp. 1
Author(s):  
David L. Kriebel
Keyword(s):  
Vertical Cylinder ◽  
Wave Structure ◽  
Finite Depth ◽  
Second Order ◽  
Wave Crest ◽  
Wave Runup ◽  
Nonlinear Diffraction ◽  
Stokes Waves ◽  
Dynamic Quantity ◽  
Wave Region

A theoretical solution is developed for the interaction of second-order Stokes waves with a large vertical circular cylinder in water of finite depth. The solution is obtained in terms of the velocity potential such that any kinematic or dynamic quantity of interest may be derived, consistent to the second perturbation order. In this study, the second-order wave field around the cylinder is determined, showing the modification of the incident Stokes waves by wave-wave and wave-structure interactions, both in the reflection-dominated up-wave region and in the diffraction-dominated down-wave region. The theory is then compared to experimental data for wave runup and rundown amplitudes on the cylinder as well as for wave crest and trough envelopes in the up-wave and down-wave regions.

Transient Free Convective Flow of CNT Water Nanofluid with Heat Transfer from a Moving Cylinder

2020 ◽  
Vol 10 ◽  
Author(s):  
C. Sridevi ◽  
A. Sailakumari
Keyword(s):  
Carbon Nanotubes ◽  
Heat Generation ◽  
Convective Flow ◽  
Volume Fraction ◽  
Vertical Cylinder ◽  
Single Wall Carbon Nanotubes ◽  
Free Convective Flow ◽  
Multi Wall Carbon Nanotubes ◽  
Moving Cylinder ◽  
Variable Surface

Background: In this paper, transient two-dimensional laminar boundary layer viscous incompressible free convective flow of water based nanofluid with carbon nanotubes (CNTs) past a moving vertical cylinder with variable surface temperature is studied numerically in the presence of thermal radiation and heat generation. Methods: The prevailing partial differential equations which model the flow with initial and boundary conditions are solved by implicit finite difference method of Crank Nicolson type which is unconditionally stable and convergent. Results: Influence of Grashof number (Gr), nanoparticle volume fraction ( ), heat generation parameter (Q), temperature exponent (m), radiation parameter (N) and time (t) on velocity and temperature profiles are sketched graphically and elaborated comprehensively. Conclusion: Analysis of Nusselt number and Skin friction coefficient are also discussed numerically for both single wall carbon nanotubes (SWCNTs) and multi wall carbon nanotubes (MWCNTs).

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