Analytical solution of the electric field of a line source embedded in a cylindrical mu and epsilon near zero metamaterial

2017 ◽  
Author(s):  
Mostafa Gholizadeh ◽  
Mohsen Ghaffari-Miab
Keyword(s):  
Analytical Solution ◽  
Electric Field ◽  
Line Source ◽  
Epsilon Near Zero

A Single Probe Transient Moving Line Source Method for Determining Thermal Conductivity, Thermal Diffusivity, and Superficial Flow Velocity of a Porous Material With Flow

2011 ◽  
Author(s):  
Kevin D. Woods ◽  
Alfonso Ortega
Keyword(s):  
Thermal Conductivity ◽  
Thermal Diffusivity ◽  
Analytical Solution ◽  
Porous Material ◽  
Flow Velocity ◽  
Empirical Data ◽  
Line Source ◽  
Single Probe ◽  
Moving Line Source ◽  
Moving Line

This paper presents a method to determine the effective thermal conductivity and thermal diffusivity of a porous material, as well as the superficial flow velocity of fluid flowing through the porous matrix using a single probe transient moving line source method. The method transforms the transient analytical solution for a moving line source using differentiation to produce three independent equations to solve for the three unknowns. Empirical data are presented from a laboratory scale test apparatus for three test cases with known properties and flow rates to validate the method. The method is then applied to field data from a standing column well used in ground source heat pump systems to obtain the thermal and flow properties of the ground formation. The properties are inserted into the transient analytical solution for a moving line source and superimposed over the empirical data showing agreement between the model and the data. The method is more accurate than traditional methods for estimating thermal properties when flow conditions are present, and the implementation of the method does not require any additional thermal data.

STARK EFFECT IN A FINITE REGION FOR A 1D COULOMB POTENTIAL

2002 ◽  
Vol 09 (05n06) ◽  
pp. 1827-1830 ◽  
Author(s):  
G. J. VÁZQUEZ ◽  
C. AVENDAÑO ◽  
J. A. REYES ◽  
M. DEL CASTILLO-MUSSOT ◽  
H. SPECTOR
Keyword(s):  
Hydrogen Atom ◽  
Analytical Solution ◽  
Electric Field ◽  
Stark Effect ◽  
Strong Field ◽  
Strong Electric Field ◽  
Electronic States ◽  
Finite Region ◽  
Electric Field Effects ◽  
One Dimensional

We calculate the states of a one-dimensional hydrogen atom under the effect of an electric field (Stark effect) in the strong field regime being the field confined in a finite region of width 2a (capacitor region). We find numerically the solution inside the capacitor and match it to an analytical solution outside the capacitor. Although the electric field tends to separate the two opposite charges particles, the total energy of the system decreases with increasing electric field strength. Our results are useful as a guideline to study strong electric field effects in electronic states of impurities or excitons in 1D systems.

Line-source diffraction by a slit in a moving fluid

2009 ◽  
Vol 87 (11) ◽  
pp. 1139-1149 ◽  
Author(s):  
M. Ayub ◽  
A. Naeem ◽  
R. Nawaz
Keyword(s):  
Mach Number ◽  
Analytical Solution ◽  
Acoustic Wave ◽  
Stationary Phase ◽  
Line Source ◽  
Velocity Potential ◽  
Integral Transform ◽  
Method Of Stationary Phase ◽  
Modified Method ◽  
Moving Fluid

The diffraction of a cylindrical acoustic wave from a slit in a moving fluid using Myers condition (J. Sound Vib. 71, 429 (1980)) is investigated, and an improved form of the analytical solution for the diffracted field is presented. The problem is solved analytically using an integral transform, Wiener–Hopf technique, and the modified method of stationary phase. The mathematical results are well supported by graphical discussion showing how the absorbing parameter and Mach number affect the amplitude of the velocity potential.

Dynamic Response of an Electro-Rheological Sandwich Beam with Different Elastic Layers Subjected to Simultaneous Impact Loads

2012 ◽  
Vol 232 ◽  
pp. 117-121 ◽  
Author(s):  
M. Sepehrinour ◽  
M. Nezami
Keyword(s):  
Analytical Solution ◽  
Electric Field ◽  
Dynamic Response ◽  
Material Properties ◽  
Transverse Vibration ◽  
Sandwich Beam ◽  
Impact Loads ◽  
Governing Equations ◽  
Simultaneous Impact ◽  
Elastic Layers

Dynamic response of an electro-rheological sandwich beam subjected to simultaneous Impact loads will be considered. Analytical solution will be used to draw FRF diagram of the beam for different electric field. Upper and lower layers of the beam have different material properties. Coupled governing equations derived from Hamilton Principle will be solved in frequency domain to find transverse vibration of the beam.

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