Permeable Prolate Spheroid in an External Field: Demagnetization and Gradiometer Performance

1992 ◽  
Author(s):  
W. M. Wynn
Keyword(s):  
External Field ◽  
Prolate Spheroid

Separated flow surface pressure fluctuations and pressure-velocity correlations on prolate spheroid

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 266-274
Author(s):  
Michael C. Goody ◽  
Roger L. Simpson ◽  
Christopher J. Chesnakas
Keyword(s):  
Surface Pressure ◽  
Pressure Fluctuations ◽  
Separated Flow ◽  
Prolate Spheroid ◽  
Flow Surface

Ground states for the ising model with an external field on the Cayley tree

2018 ◽  
Vol 2018 (3) ◽  
pp. 147-155
Author(s):  
M.M. Rakhmatullaev ◽  
M.A. Rasulova
Keyword(s):  
Ising Model ◽  
External Field ◽  
Cayley Tree ◽  
Ground States

A possible modification of groundwater flow equation using coordinate transformations

2014 ◽  
Vol 15 (2) ◽  
pp. 278-287 ◽  
Author(s):  
Abdon Atangana ◽  
Ernestine Alabaraoye
Keyword(s):  
Groundwater Flow ◽  
Prolate Spheroid ◽  
Flow Equation ◽  
Time Space ◽  
Adomian Decomposition ◽  
Iteration Methods ◽  
Groundwater Flow Equation ◽  
Factor Α ◽  
Modified Equation ◽  
Good Agreement

We described a groundwater model with prolate spheroid coordinates, and introduced a new parameter, namely τ the silhouette influence of the geometric under which the water flows. At first, we supposed that the silhouette influence approaches zero; under this assumption, the modified equation collapsed to the ordinary groundwater flow equation. We proposed an analytical solution to the standard version of groundwater as a function of time, space and uncertainty factor α. Our proposed solution was in good agreement with experimental data. We presented a good approximation to the exponential integral. We obtained an asymptotic special solution to the modified equation by means of the Adomian decomposition and variational iteration methods.

Numerical investigation on the flow around an inclined prolate spheroid

2021 ◽  
Vol 33 (7) ◽  
pp. 074106
Author(s):  
Zhe Wang ◽  
Jianzhi Yang ◽  
Helge I. Andersson ◽  
Xiaowei Zhu ◽  
Minghou Liu ◽  
...  
Keyword(s):  
Numerical Investigation ◽  
Prolate Spheroid

scholarly journals Magnetofluidic mixing of a ferrofluid droplet under the influence of a time-dependent external field

2021 ◽  
Vol 917 ◽  
Author(s):  
Sudip Shyam ◽  
Pranab Kumar Mondal ◽  
Balkrishna Mehta
Keyword(s):  
External Field ◽  
Time Dependent

Abstract

scholarly journals A unified perturbative approach to electrocaloric effects

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Mónica Graf ◽  
Jorge Íñiguez
Keyword(s):  
External Field ◽  
Taylor Series ◽  
Physical Interpretation ◽  
Applied Field ◽  
Atomistic Simulations ◽  
Small Field ◽  
Electrocaloric Effect ◽  
Perturbative Approach ◽  
Similarities And Differences ◽  
Straightforward Interpretation

AbstractThe electrocaloric effect, that is, the temperature change experienced by an insulator upon application of an electric field, offers promising ecofriendly alternatives to refrigeration. However, the theoretical treatments of this response are mostly case specific and lack a unified picture revealing the similarities and differences among the various known effects. Here, we show that the electrocaloric effect lends itself to a straightforward interpretation when expressed as a Taylor series in the external field. Our formalism explains in a unified and simple way the most notable small-field effects reported in the literature, namely the so-called normal and inverse electrocaloric responses, corresponding to an increase or decrease of temperature under applied field, as usually found in ferroelectrics or antiferroelectrics, respectively. This helps us to clarify their physical interpretation. We then discuss in detail atomistic simulations for the prototype ferroelectric PbTiO3, explicitly evaluating subtle predictions of the theory, such as the occurrence of competing contributions to the electrocaloric response.

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