Archive for July, 2016

Daily Report 29/6/16

The equivalent of 123,999 printed pages were downloaded during the day (452.063 megabytes) from 1695 downloaded memory files (hits) and 505 distinct visits, each averaging 2.6 memory pages and 10 minutes, printed pages to hits ratio of 73.15 for the day, main spiders cnsat(China), google, MSN and yahoo. Collected ECE2 1794, Top ten items 1454, Collected Evans Morris 957(est), Collected Scientometrics 693, Principles of ECE 361, Barddoniaeth / Collected Poetry 313, Eckardt / Lindstrom papers 282, Autobiography Volumes One and Two 255, Proofs that no torsion means no gravitation 243, F3(Sp) 211, Engineering Model 147, PECE 136, Evans Equations 126, UFT88 118, CEFE 106, UFT321 53, Self charging inverter 51, Llais 47, UFT311 39, List of prolific authors 25, Three world records by MWE 24, Lindtrom Idaho lecture 24, UFT313 39, UFT314 30, UFT315 49, UFT316 34, UFT317 51, UFT318 69, UFT319 60, UFT320 42, UFT322 54, UFT323 34, UFT324 57, UFT325 60, UFT326 57, UFT327 37, UFT328 41, UFT329 51, UFT330 43, UFT331 37, UFT332 44, UFT333 43, UFT334 45, UFT335 35, UFT336 42, UFT337 32, UFT338 27, UFT339 34, UFT340 33, UFT341 43, UFT342 33, UFT343 46, UFT344 49, UFT345 70, UFT346 108, UFT347 56, UFT348 59, UFT349 81, UFT351 52, UFT352 19 to date in July 2016. Iowa State University general. Intense interest all sectors, updated usage file attached for July 2016.

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353(4): Extension of the Kambe Equations

This note extends the Kambe equations to the complete Navier Stokes equation (13), and redefines the Kambe electric field as in Eq. (14), defining a generalized Kambe potential (17). using these definitions it is possible to develop wave equations, and this will be the subject of the next note.

a353rdpapernotes4.pdf

Daily Report 28/6/16

The equivalent of 205,587 printed pages was downloaded during the day (749.569 megabytes) from 3775 downloaded memory files and 571 distinct visits each averaging 4.6 memory pages and 13 minutes, printed pages to hits ratio of 54.46 for the day, main spiders cnsat (China), google, MSN and yahoo. Collected ECE2 1764, Top ten items 1425, Collected Evans / Morris 924, Collected scientometrics 646, Principles of ECE 359, Barddoniaeth / Collected Poetry 298, Eckardt / Lindstrom papers 269, Autobiography volumes one and two 259, Collected Proofs that no torsion means no curvature 238, F3(Sp) 205, Engineering Model 146, PECE 136, Evans Equations 126(est), UFT88 116, CEFE 106, Self charging inverter 55, UFT321 52, Llais 47, UFT311 39, List of prolific authors 25, Three world records by MWE 24, Lindstrom Idaho lecture 24, UFT313 38, UFT314 28, UFT315 49, UFT316 34, UFT317 48, UFT318 69, UFT319 59, UFT320 42, UFT322 53, UFT323 33,UFT324 54, UFT325 57, UFT326 56, UFT327 37, UFT328 40, UFT329 51, UFT330 43, UFT331 36, UFT332 42, UFT333 43, UFT334 44, UFT335 35, UFT336 42, UFT337 32, UFT338 25, UFT339 34, UFT340 33, UFT341 40, UFT342 32, UFT343 46, UFT344 49, UFT345 69, UFT346 108, UFT347 56, UFT348 58, UFT349 79, UFT351 52, UFT352 19 to date in July 2016. Atomic Institute Technical University of Vienna general; University of Warwick my page, Wales and Welsh affairs, ECE Devices, extensive downloads unresolved domain, intense interest all sectors, updated usage file attached for July 2016.

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Discussion of 353(3)

These are all good ideas. Eq. (28) is the equation which FlexPDE can solve. Agreed about constant density, and even in the case del rho not equal to zero Eq. (14) vanishes, giving Eq. (28). So in reducing Eq. (12) to Eq. (28) the baroclinic term is eliminated. The solution of the vorticity equation (12) needs supercomputers and simulation in general, as is well known in atmospherics for example. Eq. (28) seems to be completely new to fluid physics of all kinds. Eq. (30) is a time independent wave equation and Eq. (31) is a time dependent wave equation. For incompressible flows Eq. (30) simplifies with del dot v = 0. Kambe derives wave equations with drastic approximations, but these wave equations do not make such assumptions. FlexPDE may be able to solve them

To: EMyrone@aol.com
Sent: 28/07/2016 21:07:33 GMT Daylight Time
Subj: Re: 353(3): Wave Equation of Fluid Dynamics or Aerodynamics or Atmospherics

If the density rho is constant, the cross product between grad(rho) and grad(p) vanishes, since according to Eq.(14) this is the curl of a gradient. You come back to this in eq.(29).
The practical problem with eq.(12) is that the equation is of third order in v. one could use both variables w and v for solution wiht definition (7) but the free version of the FlexPDE program only allows four variables, in this case v and p. We discussed this already.

Eq.(33) is an inhomogeneous wave equation. I am not sure if the RHS can be written proportional to v with a scalar kappa squared. This would require that the vector of the RHS is parallel to v. But the important result is that a wave equation with turbulence term can be derived. If parts of the RHS can be written in the form kappa^2 v, this would introduce a kind of resonance behaviour in the stationary case:

del2 v + kappa^2 v = f(v)

where f(v) consists of the other RHS terms.

Horst

PS: I am out of Munich at the weekend but will try to follw the emails.

Am 28.07.2016 um 13:55 schrieb EMyrone:

This is equation (33), where an assumed constant speed of sound has been used. This has the format of the ECE wave equation. More generally the speed of sound is variable. So this is a wave equation of spacetime itself in fluid electrodynamics. It looks complicated but it seems that complication is no problem to the contemporary code packages used in UFT349, UFT351 and UFT352. It generalizes the wave equations obtained by Kambe using drastic approximations. The well known vorticity equation (12), which has a vast number of applications, has been simplified in this work to Eq. (28). So Eq. (28) should become a fundamentally useful equation in fluid dynamics, aerodynamics, hydrodynamics, atmospherics, oceanographic physics, and so on. I also found that the homogeneous field equation of Kambe is equivalent to a zero convective derivative of velocity. This means that the viscous force is defined in the Kambe analysis by Eq. (23). In simplifying Eq. (28) to Eq. (12) it has been assumed that if curl A = curl B, then A = B. However it is possible to have A = B + div phi, a gauge like equation, because curl div phi = del x del phi = 0. The solution A = B is certainly valid. In simplifying Eq. (12) to Eq. (28) the baroclinic term is considered as in Eq. (14), whch means that the curl of the baroclinic term is zero. In Kambe’s notation it is – del x del h = 0. So for complete information, use the code to solve both Eqs. (12) and (28), and also Eq. (33). In fluid electrodynamics all this is a property of the source term. There is conservation of total energy by Poynting’s Theorem. In order to emphasize conservation of total energy in fluid electrodynamics, the next note will develop the Poynting Therem of fluid electrodynamics.

New Animations

These look like excellent animations, and there is already great interest in the new subject of fluid electrodynamics (UFT349, UFT351 and UFT352). Acknowledgments and thanks to Douglas Liindstrom and Russell Davis.

CC: Emyrone@aol.com
Sent: 28/07/2016 17:27:41 GMT Daylight Time
Subj: Update on AIAS website

Hi Dave,
I have updated the Publications page with two animations in the
Animations section. Please copy this version to your cache.

Horst

Daily Report 27/6/16

The equivalent of 182,019 printed pages (663.640 megabytes) was downloaded from 3,297 downloaded memory files (hits) and 516 distinct visits each averaging 5.0 memory pages and 14 minutes, printed pages to hits ratio for the day of 55.21, main spiders cnsat(China), google, MSN and yahoo. Collected ECE2 1701, Top ten items 1387, Evans / Morris 891, Collected scientometrics 622, Principles of ECE 349, Barddoniaeth / Collected Poetry 287, Autobiography volumes one and two 259, Proofs that no torsion means no gravitation 235, Eckardt / Lindstrom papers 229, F3(Sp) 195, Engineering Model 141(est), PECE 134, Evans Equations 126(est), UFT88 106(est); CEFE 103, Self charging inverter 53, UFT321 50, Llais 42, UFT311 38, List of prolific authors 24, Three world records by MWE 24, Lindstrom Idaho lecture 23, UFT313 37, UFT314 27, UFT315 47, UFT316 33, UFT317 46, UFT318 68, UFT319 57, UFT320 37, UFT322 48, UFT323 33, UFT324 52, UFT325 53, UFT326 53, UFT327 34, UFT328 40, UFT329 50, UFT330 43, UFT331 33, UFT332 38, UFT333 40, UFT334 43, UFT335 33, UFT336 42, UFT337 30, UFT338 25, UFT339 33, UFT340 32, UFT341 40, UFT342 30, UFT343 46, UFT344 49, UFT345 67, UFT346 105, UFT347 55, UFT348 57, UFT349 78, UFT351 52, UFT352 17 to date in July 2016. University of Rochester Medical Center, New York AIAS Fellows; University of Guadalajara Mexico, Center of Exact Sciences and Engineering UFT142(Sp); JSC Bank Kiev Ukraine Diplomatic Objection to ‘t Hooft by Gareth Evans; University of Warwick My page, Welsh affairs, CV in Welsh, Injustices in Academia, UNCC Saga, Autobiography volume One, Principles of ECE, PECE. Intense interest all sectors, updated usage file attached for July 2016.

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PS

PS: Eq. (28) has been solved by Horst in UFT351 and UFT352 to give a large number of very interesting results. It was re derived and cross checked in Note 353(3). The vorticity equation (12) should now be solved in the same way. Eq. (12) may give more information than Eq. (28), but the latter is very useful and appears to be completely new to physics. Solutions of Eq. (12) have been very highly developed for more than a century to give all kinds of flow phenomena.