Return-Path: Received: from [24.25.9.102] (HELO ms-smtp-03-eri0.southeast.rr.com) by logan.com (CommuniGate Pro SMTP 4.1.8) with ESMTP id 2901453 for flyrotary@lancaironline.net; Mon, 22 Dec 2003 19:25:44 -0500 Received: from o7y6b5 (clt78-020.carolina.rr.com [24.93.78.20]) by ms-smtp-03-eri0.southeast.rr.com (8.12.10/8.12.7) with SMTP id hBN0Pcow023877 for ; Mon, 22 Dec 2003 19:25:42 -0500 (EST) Message-ID: <001601c3c8ea$e3c5cf40$1702a8c0@WorkGroup> From: "Ed Anderson" To: "Rotary motors in aircraft" References: Subject: K&W Cooling factors. Date: Mon, 22 Dec 2003 19:22:43 -0500 MIME-Version: 1.0 Content-Type: multipart/alternative; boundary="----=_NextPart_000_0013_01C3C8C0.F8DFD300" X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1106 X-MIMEOLE: Produced By Microsoft MimeOLE V6.00.2800.1106 This is a multi-part message in MIME format. ------=_NextPart_000_0013_01C3C8C0.F8DFD300 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable .rr.com ----- Original Message -----=20 From: Al Gietzen=20 To: Rotary motors in aircraft=20 Sent: Monday, December 22, 2003 11:00 AM Subject: [FlyRotary] Re: evap core versus radiator Ed wrote: Ok, Paul Using the K&W formulas, I calculate that the 14x10 core area would handle 120HP at 120MPH TAS, you would need to get to 160 MPH to get = the mass flow to handle 160HP. =20 Just scaling your power number on the basis of core area; it comes to = about 225hp for my setup. I designed for 200 hp at 120 mph; so I guess = that is reasonable close correlation. Either we're both right, or both = wrong J. Al Well, for both your and Paul's sake, I hope we are all correct {:>). There are enough uncertainties just in the differences between = different types of cooler core to make that much difference.=20 Its fairly clear that air flow and core area are two of the most = significant factors as together they determine the basic Mass flow = possible through the cooler. If that is not sufficient to carry away = the heat you are trying to reject then all else is moot.=20 In K&W there are two coefficients they focus on, Kh the heat transfer = coefficient which is dependent on the characteristics of the core, Kp = the pressure drop coefficient - again based on core characteristics. = They end up with a combined coefficient that rates how well the core = transfers heat based on the pressure drop this is Kv =3D Kh/Kp. These = coefficients are dependent on such things as the openness ratio, the = hydraulic diameter of the individual passage in the core and the = thickenss of the core. Both Kh and Kp are also weakly dependent on the = Reynolds number of the air flow throught the core. I say weakly because = they relate to the inverse fourth power of the Reynolds number or = 1/(Re)^(1/4). Interestingly enough because it is an inverse relationship the heat = transfer is better to the air with lower velocity through the core. Not = quite certain that I fully understand why, except it appears to do with = the shear force and friction between the air flow in the core passage = and the the passage walls. However, while heat is apparently passed = from the core walls to the air better at the lower Reynolds numbers, the = downside is that low Reynold number also means lower air velocity = throught the core which in turn means Low mass flow which is not good = for cooling. =20 So from the equations in K&W that there is an optimum balance between = the heat transfer due to the lower Reynolds effect and the heat removed = due to higher mass flow through the core. Too much of one and not enough = of the other and your cooling is suboptimal. FWIW Ed Anderson ------=_NextPart_000_0013_01C3C8C0.F8DFD300 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
 .rr.com
----- Original Message -----
From:=20 Al = Gietzen=20
Sent: Monday, December 22, 2003 = 11:00=20 AM
Subject: [FlyRotary] Re: evap = core versus=20 radiator

Ed = wrote:

 

Ok, Paul

 

    Using the K&W = formulas, I=20 calculate that the 14x10 core area would

handle 120HP at 120MPH TAS, you would need = to get to=20 160 MPH to get the mass

flow to handle 160HP. =  

 

Just = scaling your=20 power number on the basis of core area; it comes to about 225hp for my = setup.  I designed for 200 hp at 120 mph; so I guess that is = reasonable=20 close correlation.  Either we=92re both right, or both wrong=20 J.

 

Al

 

Well, = for both=20 your and Paul's sake, I hope we are all correct = {:>).

There = are enough=20 uncertainties just in the differences between different types of = cooler core=20 to make that much difference. 

 

 

Its = fairly clear=20 that air flow and core area are two of the most significant = factors as=20 together they determine the basic Mass flow possible through the = cooler. =20 If that is not sufficient to carry away the heat you are trying to = reject then=20 all else is moot.

 

In = K&W there=20 are two coefficients they focus on, Kh the heat = transfer=20 coefficient which is dependent on the characteristics of the core,=20 Kp the pressure drop coefficient - again based on = core=20 characteristics.  They end up with a combined coefficient that = rates how=20 well the core transfers heat based on the pressure drop this is = Kv =3D=20 Kh/Kp.  These coefficients are dependent on such things = as the=20 openness ratio, the hydraulic diameter of the individual passage in = the core=20 and the thickenss of the core.  Both Kh and = Kp=20 are also weakly dependent on the Reynolds number of the air = flow=20 throught the core.  I say weakly because they relate to the = inverse=20 fourth power of the Reynolds number or 1/(Re)^(1/4).

 

 =20 Interestingly enough because it is an inverse relationship the heat = transfer=20 is better to the air with lower velocity through the core.  Not = quite=20 certain that I fully understand why, except it appears to do with the = shear=20 force and friction between the air flow in the core passage and the = the=20 passage walls.  However, while heat is apparently passed from the = core=20 walls to the air better at the lower Reynolds numbers, the downside is = that=20 low Reynold number also means lower air velocity throught the core = which in=20 turn means Low mass flow which is not good for=20 cooling. 

 

So from = the=20 equations in K&W that there is an optimum balance between the heat = transfer due to the lower Reynolds effect and the heat removed due to = higher=20 mass flow through the core. Too much of one and not enough of the = other and=20 your cooling is suboptimal.

 

FWIW

 

Ed=20 Anderson

 

 

 

 

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