scholarly journals Propagation of Flexural Waves in Anisotropic Fluid-Conveying Cylindrical Shells

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 901
Author(s):  
Farzad Ebrahimi ◽  
Ali Seyfi
Keyword(s):  
Flow Velocity ◽  
Cylindrical Shells ◽  
Shear Deformation Theory ◽  
Navier Stokes ◽  
Anisotropic Fluid ◽  
Axially Symmetric ◽  
Flexural Waves ◽  
Governing Equations ◽  
Navier Stokes Equation ◽  
Propagation Behavior

In the present article, first-order shear deformation theory (FSDT) of the shell has been employed, for the first time, in order to analyze the propagation of the flexural waves in anisotropic fluid-conveying cylindrical shells. Four various anisotropic materials are utilized and their wave propagation behavior surveyed. Viscous fluid flow has been regarded to be laminar, fully developed, Newtonian, and axially symmetric. The Navier–Stokes equation can be utilized to explore the flow velocity effect. FSDT of the shell and Hamilton’s principle have been employed in order to achieve governing equations of anisotropic fluid-conveying cylindrical shells and finally, the obtained governing equations have been solved via an analytical method. In addition, the influences of different variables such as flow velocity, radius to thickness ratio, and longitudinal and circumferential wave numbers have been investigated and indicated within the framework of a detailed set of figures.

scholarly journals Wave Dispersion Analysis of Fluid Conveying Nanocomposite Shell Reinforced by MWCNTs Considering the Effect of Waviness and Agglomeration Efficiency

Polymers ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 153
Author(s):  
Mohammad Alkhedher ◽  
Pouyan Talebizadehsardari ◽  
Arameh Eyvazian ◽  
Afrasyab Khan ◽  
Naeim Farouk
Keyword(s):  
Cylindrical Shell ◽  
Flow Velocity ◽  
Volume Fraction ◽  
Wave Dispersion ◽  
Orientation Factor ◽  
Axially Symmetric ◽  
Governing Equations ◽  
Random Orientation ◽  
Navier Stokes Equation ◽  
Wide Range

The current paper is aimed to investigate the effects of waviness, random orientation, and agglomeration factor of nanoreinforcements on wave propagation in fluid-conveying multi-walled carbon nanotubes (MWCNTs)-reinforced nanocomposite cylindrical shell based on first-order shear deformable theory (FSDT). The effective mechanical properties of the nanocomposite cylindrical shell are estimated employing a combination of a novel form of Halpin-Tsai homogenization model and rule of mixture. Utilized fluid flow obeys Newtonian fluid law and it is axially symmetric and laminar flow and it is considered to be fully developed. The effect of flow velocity is explored by implementing Navier-Stokes equation. The kinetic relations of nanocomposite shell are calculated via FSDT. Moreover, the governing equations are derived using the Hamiltonian approach. Afterward, a method which solves problems analytically is applied to solve the obtained governing equations. Effects of a wide range of variants such as volume fraction of MWCNTs, radius to thickness ratio, flow velocity, waviness factor, random orientation factor, and agglomeration factor on the phase velocity and wave frequency of a fluid conveying MWCNTs-reinforced nanocomposite cylindrical shell were comparatively illustrated and the results were discussed in detail.

Influence of Interfacial Effect Between a Porous Wall and an Air Region on Natural Convection

2009 ◽  
Author(s):  
Baoming Chen ◽  
Fang Liu ◽  
Aimin Liu ◽  
Wenguang Geng
Keyword(s):  
Porous Wall ◽  
Navier Stokes ◽  
Velocity Variation ◽  
Interfacial Effect ◽  
Governing Equations ◽  
Stress Jump ◽  
Navier Stokes Equation ◽  
Coupled Diffusion ◽  
Diffusion Effects ◽  
Flow Heat

VOCs natural convective flow driven by thermo, solute and humidity buoyancy forces from a porous wall to indoor room was studied numerically in this paper, including coupled diffusion effects by three gradients interactions. The physical model for the fluid flow made use of Brinkman-Forchheimer extended Darcy equation in the porous wall and Navier-Stokes equation in the clear region. Finite element method was used to solve governing equations. Effect of interface at the interface on flow, heat and mass transfer was studied, which varied with stress jump coefficient β and permeability. The results showed that flow velocity varied greatly with increase of coefficient β in the boundary. Decrease in the value of dimensionless permeability Da also had influence on velocity variation at the interface. However, there are little influence of interface on the distribution of temperature and concentration in the whole region.

SIMULASI ARUS LALU LINTAS DENGAN MENGGUNAKAN KECEPATAN MODEL KERNER KONHÄUSER

2016 ◽  
Vol 5 (2) ◽  
Author(s):  
Yessy Yusnita
Keyword(s):  
Finite Difference ◽  
Flow Velocity ◽  
Traffic Flow ◽  
Stokes Equation ◽  
Navier Stokes ◽  
Real Situation ◽  
Navier Stokes Equation ◽  
Conservation Equations ◽  
The Real ◽  
Road Section

In the real situation, the vehicle flow velocity on a road are not always in an equilibrium situation. The Kerner Konhäuser model illustrate that the vehicle flow velocity is an application of the Navier Stokes equation. The model is solved numerically by using the finite difference approach to calculate the flow velocity. The result will be used in solve the conservation equations in order to the density of traffic flow. The Simulation is carried on a single-lane road section. The results show that the vehicle flow velocity will increase if the density of the traffic flow decreases and the vehicle flow velocity will decrease if the density of traffic flow increases.

A novel design for microfluidic chamber based on reverse flow optimization

2017 ◽  
Vol 34 (8) ◽  
pp. 2723-2730
Author(s):  
Xueye Chen ◽  
Tiechuan Li
Keyword(s):  
Flow Velocity ◽  
Stokes Equation ◽  
Design Variable ◽  
Reverse Flow ◽  
Microfluidic System ◽  
Navier Stokes ◽  
Microfluidic Channels ◽  
Navier Stokes Equation ◽  
Content Type ◽  
Bifurcation Angle

Purpose This paper aims presents topology optimization of microfluidic channels with reverse flow. Design/methodology/approach A circular chamber with an inlet and an outlet are chosen as an initial design domain. The energy dissipation is chosen as an objective function. The incompressible Navier–Stokes equation is applied for simulating the fluidic motion in channels. An artificial friction force which is proportional to the flow velocity is substituted into the Navier–Stokes equation for controlling the design variable. Findings The effect of a bifurcation angle between the inlet and the outlet on a topological structure is analyzed. The flow velocity, pressure and design variable for every bifurcation angle are obtained. Originality/value This work is instructive to the design of a microfluidic system.

Influence of Symmetrical Boundary Conditions on Free Vibration of Functionally Graded Cylindrical Shells With Ring Support

2009 ◽  
Author(s):  
M. R. Isvandzibaei ◽  
M. M. Najafizadeh ◽  
P. Khazaeinejad
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Equations Of Motion ◽  
Cylindrical Shells ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Governing Equations ◽  
Third Order ◽  
Graded Materials ◽  
Ring Support

In the present work, the free vibration of thin cylindrical shells with ring support made of functionally graded materials under various symmetrical boundary conditions is presented. Temperature and position dependent material properties are varied linearly through the thickness of the shell. The functionally graded cylindrical shell has ring support which is arbitrarily placed along the shell and imposed a zero lateral deflection. The third order shear deformation theory is employed to formulate the problem. The governing equations of motion are derived using the Hamilton’s principle. Results are presented on the frequency characteristics and influence of the boundary conditions and the locations of the ring support on the natural frequencies. The present analysis is validated by comparing the results with those available in the literature.

A Performance Study of Moving Particle Semi-Implicit Method for Incompressible Fluid Flow on GPU

2020 ◽  
Vol 11 (1) ◽  
pp. 83-94
Author(s):  
Kirankumar V Kataraki ◽  
Satyadhyan Chickerur
Keyword(s):  
Graphics Processing Units ◽  
Computing System ◽  
Navier Stokes ◽  
Performance Study ◽  
Governing Equations ◽  
Navier Stokes Equation ◽  
Gpu Processing ◽  
Moving Particle ◽  
Particle Search ◽  
Graphics Processing

The aim of moving particle semi-implicit (MPS) is to simulate the incompressible flow of fluids in free surface. MPS, when implemented, consumes a lot of time and thus, needs a very powerful computing system. Instead of using parallel computing system, the performance level of the MPS model can be improved by using graphics processing units (GPUs). The aim is to have a computing system that is capable of performing at high levels thereby enhancing the speed of processing the numerical computations required in MPS. The primary aim of the study is to build a GPU-accelerated MPS model using CUDA aimed at reducing the time taken to perform the search for neighboring particles. In order to increase the GPU processing speed, specific consideration is given towards the optimization of a neighboring particle search process. The numerical model of MPS is performed using the governing equations, notably the Navier-Stokes equation. The simulation model indicates that using GPU based MPS produce better performance compared to the traditional arrangement of using CPUs.

Numerical Simulation of Flow Field around Amphibious Vehicle Based on CFD

2011 ◽  
Vol 138-139 ◽  
pp. 99-103
Author(s):  
Tao Wang ◽  
Wei Sun ◽  
Xin Min Yao
Keyword(s):  
Flow Field ◽  
Hydrodynamic Characteristic ◽  
Navier Stokes ◽  
Governing Equations ◽  
Navier Stokes Equation ◽  
Field Information ◽  
Volume Method ◽  
Reynolds Average ◽  
Simulated Flow ◽  
Characteristic Resistance

Flow field information is very important to study hydro-performance of amphibious vehicle. However, it is difficult and expensive to measure it. To overcome the problem, CFD was used to acquire the information. The Reynolds Average Navier-Stokes equation was taken as basic mathematical model to describe flow field. Flow field region was discretized by hybrid mesh and governing equations were discretized by Finite Volume Method. Second order upwind scheme was used for spatial discretization and Euler scheme was used for temporal discretization. Result indicates that simulated flow field is consistent with experimental flow field on shape and hydrodynamic characteristic. Resistance accuracy is nearly 12%. It can be concluded that the method based on CFD is feasible to simulate the flow field around amphibious vehicle.

scholarly journals A Conjecture on the Solution Existence of the Navier-Stokes Equation

2020 ◽  
Author(s):  
Bohua Sun
Keyword(s):  
Flow Velocity ◽  
Stokes Equation ◽  
Velocity Gradient ◽  
Existence Condition ◽  
Navier Stokes ◽  
Solution Existence ◽  
Navier Stokes Equation ◽  
The Solution Existence

For the solution existence condition of the Navier-Stokes equation, we propose a conjecture as follows: "\emph{The Navier-Stokes equation has a solution if and only if the determinant of flow velocity gradient is not zero, namely $\det (\bm \nabla \bm v)\neq 0$.}"

scholarly journals Analytical Approximate Solution of Nonlinear Differential Equation Governing Jeffery-Hamel Flow with High Magnetic Field by Adomian Decomposition Method

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
D. D. Ganji ◽  
M. Sheikholeslami ◽  
H. R. Ashorynejad
Keyword(s):  
Decomposition Method ◽  
Hartmann Number ◽  
Adomian Decomposition Method ◽  
Navier Stokes ◽  
Nonlinear Ordinary Differential Equations ◽  
Governing Equations ◽  
Navier Stokes Equation ◽  
Runge Kutta Method ◽  
Adomian Decomposition ◽  
Divergent Channel

The magnetohydrodynamic Jeffery-Hamel flow is studied analytically. The traditional Navier-Stokes equation of fluid mechanics and Maxwell's electromagnetism governing equations reduce to nonlinear ordinary differential equations to model this problem. The analytical tool of Adomian decomposition method is used to solve this nonlinear problem. The velocity profile of the conductive fluid inside the divergent channel is studied for various values of Hartmann number. Results agree well with the numerical (Runge-Kutta method) results, tabulated in a table. The plots confirm that the method used is of high accuracy for different α, Ha, and Re numbers.

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