Originally Posted By: camrydriver111
I was asking about the term "thermodynamic solution".
I see now what you are saying, and I thought everyone would remember the solutions to a set of simple thermo equations I had done in the past, a "Back of the Napkin" thingy. I mean, it was only 14 years ago.
From BITOG 7/2002:
Quote:
NOTE: This was for pure mineral oil verses pure PAO synthetic both 10.5 cST@100C.
H = F.rho.c(To-Ti),
where H is heat energy in Joules, F is volume flow in cubic meters/s,
c is heat capacity in Joules/kg.C, and temps in C. The c for synthetic oil is 2000 J/kg.C and c for dino is 1780 J/kg.C. I assumed a flow rate was 1/4 liter per second, To is temp out of a journal bearing = 100 C, and Ti was oil temp into bearing = 80C, representing a temp rise of 20C, which is a rule of thumb.
Hs = convective energy transfer in Joules for synthetic = 10.65 J
Hd = convective energy transfer in Joules for dino (mineral oil) = 9.3 J.
Therefore, pure synthetic oil is 13% more efficient at
convective heat transfer.
The "rho" factor (oil convection heat transfer) is the oil's density, measured in kg/cubic meters, and since both oils were so close in density, I used 1.065 kg/cubic meter.
Using the Heat Conduction formula:
H = kA(To-Ti/L),
where H is heat Power in W.m, k is heat conduction coefficient in W/meter-squared/C, and temps in C. The k for synthetic oil is 0.16 and k for dino is 0.128, To is temp out of a journal bearing = 100 C, and Ti was oil temp into bearing = 80C, representing a temp rise of 20C, which is a rule of thumb. L is the thickness of the oil film which is on the order of 1um at high loads. A is area of film assumed to be a patch of area of 1 mm squared.
Hs = conductive heat transfer of synthetic oil in W = 3200 W,
Hd = conductive heat transfer of dino (mineral oil) in W = 2560 W.
Therefore, pure synthetic oil is 20% more efficient at
conductive heat transfer than mineral oil.
The same film thickness for both dino's and synth's were used for the calculations.
The heat transfer formulas were from thermodynamics. The constants I used for "c" and "k" were from Michael J. Neal's,
The Handbook of Tribiology.
Also see:
Tribology Congress III
September 12-16, 2005, Washington, D.C., USA
WTC2005-64316
HEAT TRANSFER PROPERTIES OF ENGINE OILS
Wrenick, Scott, Sutor, Paul1, Pangilinan, Harold, Schwarz, Ernest E.
1 Surfaces Research, Lenexa, KS
2 U.S. Army Tank-Automotive and Armaments Command, Warren, MI
and
Heat transfer characteristics of some oils
used for engine cooling
Hosny Z. Abou-Ziyan *
Mech. Power Eng. Dept., Faculty of Engineering, Mattaria, Helwan University, Cairo 11718, Egypt
Energy Conversion and Management 45 (2004) 2553–2569.