Symplectic spinor bundle - Revision history

en>Rjwilmsi: /* Formal definition */Added 1 dois to journal cites using AWB (10094)

2014-05-05T16:40:50Z

Formal definition: Added 1 dois to journal cites using AWB (10094)

← Older revision		Revision as of 18:40, 5 May 2014
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	~~{{About\|~~a ~~phenomenon in fluid dynamics\|other uses\|slip ratio\|~~and~~\|velocity ratio}}~~		Wipe the Dust Off Your iPhone and Sell It<br><br>With the frequency that Apple announces new developments and the latest devices, you've likely experienced the need to eliminate the current device as a way to start working on greener pastures. The desire for that latest technology is contagious, and Apple knows it. Whether you obtained into Apple initially with a computer system or laptop or were a rather latecomer with the introduction of the iPhone, iPod, or even the latest iPad, chances are you might have at least one device using the Apple icon strategically-placed for all those to find out.<br><br>5. When you sell your iPhone, you will receive money back, which you can put towards your following phone purchase. Many people believe that after they buy a pricey smartphone, everything that money fails the drain because they'll never receive anything correctly. For this reason, a lot of people simply recycle their old phones, donate these phones a non-profit, or simply throw them away. Yet, every little portion of your iPhone will be worth lots of money. So in case you have broken section of the phone, the working parts, like the iPhone 2g midboard, are very valuable. You'll be surprised by the amount of money you can get back on your energy production.<br><br>When it's time for you to sell the iPhone flip it online starting with submitting the lowdown about the model and condition of the phone. Then, wait to get a quote back. If the number sounds attractive and you want some cash back on the blunder, then accept the offer and wait for prepaid packaging to come inside mail. After sending the telephone back you just have to await your dollars to return for you. Of course you can go for the cash to be sent electronically, online, and even by check. Once that money may be deposited or received inside the mail by you the deal is performed! With an iPhone sell from the parts and pieces that still work great and have a great deal in return- cashback for doing the right thing and keeping that electronic good from a landfill. The world of tomorrow will likely be brimming with tempting new offers and contracts, so make sure inside future back off and think of what you're willing to subscribe to. If all else fails having an iPhone flip it back for cash!<br><br>Some of the most common iPhone repairs can be seen in the trends when people buy iPhone parts. Many iPhone users must replace their battery, front panel, display assembly, antenna cover, or USB charger. Past some surface repairs, it is also possible to buy and replace more complicated parts such as the earpiece speaker, the LCD screen, the mic & speaker phone modules, the dock assembly the mainboard assembly, the SIM car holder, the wireless antennae & antennae pad, the digital camera modules, and much more. When users buy iPhone parts online, the various components are sorted by specific model, so be sure to take another few minutes to match your broken phone with the various being purchased. Get smart and get iPhone parts today instead of letting 100's of dollars get wasted!<br><br>It is easy to trade in a iPhone by working with a company that will change and then sell on the iPhone to someone new for you personally. All you have to do is find an organization that will provide you with a decent price and you may aid the prevention of the additional phones from cluttering the planet whilst creating a little more income. What good is a mobile phone whether it is relaxing in a dumpster somewhere, or being placed in your drawer not being used, in the event it could possibly be using someone's hand because they download new applications for their somewhat new phone.<br><br>For those who have just about any inquiries regarding in which as well as how you can work with Strawberrysearch.Com, you'll be able to e-mail us from our webpage.
	~~'''Slip ratio''' (~~or ~~'''velocity ratio''') in gas–liquid (two-phase) flow, is defined as~~ the ~~ratio~~ of the ~~velocity of~~ the ~~gas phase~~ to ~~the velocity of the liquid phase~~.<~~ref~~>G.~~F. Hewitt~~, G.~~L. Shires~~, Y.~~V.Polezhaev (editors)~~, ~~"International Encyclopedia~~ of ~~Heat and Mass Transfer~~,~~" CRC Press~~, ~~1997~~.~~</ref>~~

	~~In the homogeneous model~~ of ~~[[two-phase flow]], the slip ratio is by definition assumed to~~ be ~~unity (no slip)~~. ~~It is however experimentally observed that the velocity~~ of the ~~gas and liquid phases can be significantly different~~, ~~depending on~~ the ~~flow pattern (e.g.~~, ~~plug flow~~, ~~annular flow, bubble flow, stratified flow, slug flow, churn flow)~~. ~~The models that account for~~ the ~~existence~~ of ~~the slip are called "separated flow models~~."

	~~The following identities can be written using the interrelated definitions:~~
	:<~~math~~>~~S = \frac {u_G} {u_L} = \frac {U_G(1-\epsilon_G)} {U_L \epsilon_G} = \frac {\rho_L x (1-\epsilon_G)} {\rho_G(1-x) \epsilon_G}~~<~~/math~~>

	~~where:~~
	* S – slip ratio, dimensionless
	* indices G and L refer to the ~~gas~~ and the ~~liquid phase~~, ~~respectively~~
	* u – velocity, m/s
	* U – [[superficial velocity]], m/s
	* ε – [[Porosity#Void_fraction_in_two-phase_flow\|void fraction]], dimensionless
	* ρ – density of a ~~phase~~, ~~kg/m<sup>3</sup>~~
	* x – [[steam quality]], dimensionless.

	~~== Correlations for~~ the ~~slip ratio ==~~
	~~There are a number of correlations~~ for ~~slip ratio~~.

	~~For homogeneous flow~~, ~~S = 1 (i~~.~~e., there~~ is ~~no slip)~~.

	The ~~Chisholm correlation<ref>D. Chisholm~~, ~~"Two-Phase Flow in Pipelines~~ and ~~Heat Exchangers", Longman Higher Education, 1983~~. ~~ISBN 0-7114-5748-4~~<~~/ref~~><~~ref~~>~~John R~~. ~~Thome~~, ~~"Wolverine Heat Transfer Engineering Data book III~~,~~" Wolverine Tube Inc~~, ~~2004~~, ~~Chapter 17 [http://www~~.~~wlv~~.~~com/products/thermal-management-databooks.html]~~.<~~/ref~~> ~~is:~~

	<~~math~~> ~~S = \sqrt {1 -x (1 - \frac {\rho_L} {\rho_G} }) </math>~~

	~~The Chisholm correlation~~ is ~~based~~ on ~~application~~ of the ~~simple annular flow model and equates~~ the ~~frictional pressure drops~~ in the ~~liquid and the gas phase~~.

	~~== References ==~~
	~~{{Reflist}}~~

	~~{{DEFAULTSORT:Slip ratio (gas~~-~~liquid flow)}}~~
	~~[[Category:Fluid dynamics]]~~

en>JHunterJ: Typo fixing, typos fixed: a infinite → an infinite using AWB

2013-01-11T23:15:21Z

Typo fixing, typos fixed: a infinite → an infinite using AWB

← Older revision		Revision as of 01:15, 12 January 2013
Line 1:		Line 1:
			{{About\|a phenomenon in fluid dynamics\|other uses\|slip ratio\|and\|velocity ratio}}
			'''Slip ratio''' (or '''velocity ratio''') in gas–liquid (two-phase) flow, is defined as the ratio of the velocity of the gas phase to the velocity of the liquid phase.<ref>G.F. Hewitt, G.L. Shires, Y.V.Polezhaev (editors), "International Encyclopedia of Heat and Mass Transfer," CRC Press, 1997.</ref>

			In the homogeneous model of [[two-phase flow]], the slip ratio is by definition assumed to be unity (no slip). It is however experimentally observed that the velocity of the gas and liquid phases can be significantly different, depending on the flow pattern (e.g., plug flow, annular flow, bubble flow, stratified flow, slug flow, churn flow). The models that account for the existence of the slip are called "separated flow models."

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			:<math>S = \frac {u_G} {u_L} = \frac {U_G(1-\epsilon_G)} {U_L \epsilon_G} = \frac {\rho_L x (1-\epsilon_G)} {\rho_G(1-x) \epsilon_G}</math>

			where:
			* S – slip ratio, dimensionless
			* indices G and L refer to the gas and the liquid phase, respectively
			* u – velocity, m/s
			* U – [[superficial velocity]], m/s
			* ε – [[Porosity#Void_fraction_in_two-phase_flow\|void fraction]], dimensionless
			* ρ – density of a phase, kg/m<sup>3</sup>
			* x – [[steam quality]], dimensionless.

			== Correlations for the slip ratio ==
			There are a number of correlations for slip ratio.

			For homogeneous flow, S = 1 (i.e., there is no slip).

			The Chisholm correlation<ref>D. Chisholm, "Two-Phase Flow in Pipelines and Heat Exchangers", Longman Higher Education, 1983. ISBN 0-7114-5748-4</ref><ref>John R. Thome, "Wolverine Heat Transfer Engineering Data book III," Wolverine Tube Inc, 2004, Chapter 17 [http://www.wlv.com/products/thermal-management-databooks.html].</ref> is:

			<math> S = \sqrt {1 -x (1 - \frac {\rho_L} {\rho_G} }) </math>

			The Chisholm correlation is based on application of the simple annular flow model and equates the frictional pressure drops in the liquid and the gas phase.

			== References ==
			{{Reflist}}

			{{DEFAULTSORT:Slip ratio (gas-liquid flow)}}
			[[Category:Fluid dynamics]]

en>Qetuth: more specific stub type

2012-01-01T05:12:28Z

more specific stub type

New page

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