MHD instability of two fluids between parallel plates

2020 ◽  
Vol 10 (12) ◽  
pp. 5211-5218 ◽  
Author(s):  
Z. Hussain ◽  
S. Zuev ◽  
A. Kabobel ◽  
M. Ali ◽  
F. Sultan ◽  
...  
Keyword(s):  
Parallel Plates ◽  
Two Fluids ◽  
Mhd Instability

A moving fluid interface. Part 2. The removal of the force singularity by a slip flow

1977 ◽  
Vol 79 (2) ◽  
pp. 209-229 ◽  
Author(s):  
L. M. Hocking
Keyword(s):  
Contact Line ◽  
Slip Flow ◽  
Slip Condition ◽  
Solid Boundary ◽  
Parallel Plates ◽  
Fluid Interface ◽  
Slip Coefficient ◽  
Outer Flow ◽  
Normal Contact ◽  
Two Fluids

If the no-slip condition is used to determine the flow produced when a fluid interface moves along a solid boundary, a non-integrable stress is obtained. In part 1 of this study (Hocking 1976), it was argued that, when allowance was made for the presence of irregularities on the solid boundary, an effective slip coefficient could be found, which might remove the difficulty.This paper examines the effect of a slip coefficient on the flow in the neighbourhood of the contact line. Particular cases which are solved in detail are liquid–gas interfaces at an arbitrary angle, and normal contact of fluids of arbitrary viscosity. The contribution of the vicinity of the contact line to the force on the boundary is obtained.The inner region, near the contact line, must be matched with an outer flow, in which the no-slip condition can be applied, in order to obtain the total value of the force on the boundary. This force is determined for the flow of two fluids between parallel plates and in a pipe, with a plane interface. The enhanced resistance produced by the presence of the interface is calculated, and it is shown to be equivalent to an increase in the length of the column of fluid by a small multiple of the pipe radius.

On the Flow of Mixtures Between Parallel Plates

2000 ◽  
Author(s):  
K. R. Rajagopal
Keyword(s):  
Pressure Gradient ◽  
Poiseuille Flow ◽  
Parallel Plates ◽  
Marked Contrast ◽  
Two Fluids ◽  
Spatially Periodic

Abstract Here, we discuss the flow of a mixture of two fluids between two parallel plates, within the framework of the theory of interacting continua. In the case of a flow due to a pressure gradient along the plates, in marked contrast to the classical Poiseuille flow, we find a variety of solutions, from those that are close to parabolic to those solutions that are spatially periodic across the plates, depending on the values for the viscosities of the fluid.

Numerical Modeling of Unidirectional Stratified Flow Between Parallel Plates

2004 ◽  
Author(s):  
Y. F. Yap ◽  
J. C. Chai ◽  
K. C. Toh ◽  
T. N. Wong ◽  
Y. C. Lam
Keyword(s):  
Exact Solutions ◽  
Cross Section ◽  
Correction Term ◽  
Stratified Flow ◽  
Mass Conservation ◽  
Parallel Plates ◽  
Two Fluids ◽  
Mass Correction ◽  
Developing Region ◽  
Mass Flowrate

Unidirectional stratified flow of two fluids between two parallel plates is modeled using the Level-Set method. A localized mass correction term is used to ensure mass conservation at every axial cross section. The mass correction term is based on the mass flowrates. Results for various combinations of density, viscosity and mass flowrate ratios are presented. Available fully-developed exact solutions for unidirectional stratified flow are used to validate the numerical simulations. The evolutions of the interface in the developing region are also captured and compared well with “exact” solutions.

Numerical Simulation of Unidirectional Stratified Flow by Moving Particle Semi Implicit Method

2014 ◽  
Vol 15 (3) ◽  
pp. 756-775
Author(s):  
Shaoshan Rong ◽  
Haiwang Li ◽  
Martin Skote ◽  
Teck Neng Wong ◽  
Fei Duan
Keyword(s):  
Numerical Simulation ◽  
Particle Number ◽  
Stratified Flow ◽  
Particle Number Density ◽  
Computational Domain ◽  
Parallel Plates ◽  
Number Density ◽  
Two Fluids ◽  
Mass Flow Rates ◽  
Moving Particle

AbstractNumerical simulation of stratified flow of two fluids between two infinite parallel plates using the Moving Particle Semi-implicit (MPS) method is presented. The developing process from entrance to fully development flow is captured. In the simulation, the computational domain is represented by various types of particles. Governing equations are described based on particles and their interactions. Grids are not necessary in any calculation steps of the simulation. The particle number density is implicitly required to be constant to satisfy incompressibility. The weight function is used to describe the interaction between different particles. The particle is considered to constitute the free interface if the particle number density is below a set point. Results for various combinations of density, viscosity, mass flow rates, and distance between the two parallel plates are presented. The proposed procedure is validated using the derived exact solution and the earlier numerical results from the Level-Set method. Furthermore, the evolution of the interface in the developing region is captured and compares well with the derived exact solutions in the developed region.

scholarly journals MHD two-layered unsteady fluid flow and heat transfer through a horizontal channel between

2014 ◽  
Vol 19 (1) ◽  
pp. 97-121 ◽  
Author(s):  
T. Linga Raju ◽  
M. Nagavalli
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Horizontal Channel ◽  
Parallel Plates ◽  
Closed Form Solutions ◽  
Two Fluids ◽  
Flow And Heat Transfer ◽  
Linear Differential ◽  
Secondary Velocity ◽  
Unsteady Fluid

Abstract An unsteady magnetohydrodynamic (MHD) two-layered fluids flow and heat transfer in a horizontal channel between two parallel plates in the presence of an applied magnetic and electric field is investigated, when the whole system is rotated about an axis perpendicular to the flow. The flow is driven by a constant uniform pressure gradient in the channel bounded by two parallel insulating plates, when both fluids are considered as electrically conducting, incompressible with variable properties, viz. different viscosities, thermal and electrical conductivities. The transport properties of the two fluids are taken to be constant and the bounding plates are maintained at constant and equal temperatures. The governing partial differential equations are then reduced to the ordinary linear differential equations using two-term series. Closed form solutions for primary and secondary velocity, also temperature distributions are obtained in both the fluid regions of the channel. Profiles of these solutions are plotted to discuss the effects of the flow and heat transfer characteristics, and their dependence on the governing parameters involved, such as the Hartmann number, rotation parameter, ratios of the viscosities, heights, electrical and thermal conductivities

POSITIVE GLOW CORONA ALONG A CYLINDRICAL ROD BETWEEN TWO PARALLEL PLATES

1979 ◽  
Vol 40 (C7) ◽  
pp. C7-241-C7-242
Author(s):  
A. Boulloud ◽  
J. Charrier ◽  
R. Le Ny
Keyword(s):  
Parallel Plates

Development of a Capacitor Probe to Detect Subsurface Deterioration in Concrete

1997 ◽  
Vol 503 ◽  
Author(s):  
B. K. Diefenderfer ◽  
I. L. Al-Qadi ◽  
J. J. Yoho ◽  
S. M. Riad ◽  
A. Loulizi
Keyword(s):  
Dielectric Constant ◽  
Portland Cement ◽  
Electromagnetic Waves ◽  
Low Cost ◽  
Complex Dielectric Constant ◽  
Life Cycle Costs ◽  
Parallel Plates ◽  
Portland Cement Concrete ◽  
Cement Concrete ◽  
Set Up

ABSTRACTPortland cement concrete (PCC) structures deteriorate with age and need to be maintained or replaced. Early detection of deterioration in PCC (e.g., alkali-silica reaction, freeze/thaw damage, or chloride presence) can lead to significant reductions in maintenance costs. However, it is often too late to perform low-cost preventative maintenance by the time deterioration becomes evident. By developing techniques that would enable civil engineers to evaluate PCC structures and detect deterioration at early stages (without causing further damage), optimization of life-cycle costs of the constructed facility and minimization of disturbance to the facility users can be achieved.Nondestructive evaluation (NDE) methods are potentially one of the most useful techniques ever developed for assessing constructed facilities. They are noninvasive and can be performed rapidly. Portland cement concrete can be nondestructively evaluated by electrically characterizing its complex dielectric constant. The real part of the dielectric constant depicts the velocity of electromagnetic waves in PCC. The imaginary part, termed the “loss factor,” describes the conductivity of PCC and the attenuation of electromagnetic waves.Dielectric properties of PCC have been investigated in a laboratory setting using a parallel plate capacitor operating in the frequency range of 0.1 to 40.1MIHz. This capacitor set-up consists of two horizontal-parallel plates with an adjustable separation for insertion of a dielectric specimen (PCC). While useful in research, this approach is not practical for field implementation. A new capacitor probe has been developed which consists of two plates, located within the same horizontal plane, for placement upon the specimen to be tested. Preliminary results show that this technique is feasible and results are promising; further testing and evaluation is currently underway.

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