Mailing List flyrotary@lancaironline.net Message #40342
From: Ron Springer <ron2369@sbcglobal.net>
Subject: Re: Thick vs Thin was : Diffuser Configuration Comparison
Date: Tue, 13 Nov 2007 16:53:33 -0800 (PST)
To: Rotary motors in aircraft <flyrotary@lancaironline.net>
Al,

Yes, you are absolutely correct. That was an incorrect
statement that I made. Just delete my item #5 below
and replace it with this:

For turbulent flow,
1) Drag scales with velocity to the 1.8 power (takes
into account that skin friction coefficient changes
too, so it is no longer 2.0)
2) Heat transfer scales with velocity to the 0.8 power

So, you can increase velocity across a radiator to get
more heat transfer, but the drag goes up much faster
when you do that.

Ron

--- Al Gietzen <ALVentures@cox.net> wrote:

Ron;

I'm with you all the way until you get to: " Then,
because heat transfer and
drag scale with
velocity squared,"

I'm aware that the heat transfer is not linear with
velocity, but how does
it go as go as the square?

I have a ROT that a 16 fin/in rad with 1/2" tube
spacing should be 2 3/4"
thick; and I'm sticking to it:-)  Oh; I have another
ROT; the diffuser area
ratio should be in the range of 4 - 6.

Al G


Subject: [FlyRotary] Thick vs Thin was : Diffuser
Configuration Comparison

Assume you have two radiators:

1) Radiator 1 is twice the frontal area of Radiator
2
2) Same wetted fin area and fin spacing, so Radiator
2
is twice as thick as Radiator 1.
3) Same air inlet with same mass flow rate
4) Different diffusers, but both have no flow
separation and perfectly uniform flow arrives at the
radiator face.
5) Both radiators have the same average skin
friction
coefficient and average heat transfer coefficient in
the boundary layers that develop across the fins
(this
is a small stretch and could be refined, but it is
not
going to change the trends in this example).

Then, because heat transfer and drag scale with
velocity squared, and velocity is twice as high for
the thick radiator, and the thick radiator would
have
four times the heat transfer, but also four times
the
drag. There is always a tradeoff between heat
transfer
and drag.

That is my take on the situation.

Ron

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