In the usual liquid cooling system of an internal combustion engine a centrifugal pump is driven by the crankshaft and imposes a coolant flow, which transfers heat from the engine walls to the radiator. Therefore, as the engine is switched-off, the coolant flow also stops, while metal temperature may be particularly high after a period of high load operation; coolant vaporization in the cylinder head passages may occur in these conditions, with a pressure increase inside the cooling circuit. A numerical dynamic model was developed to predict this phenomenon, often called after-boiling among engine manufacturers. The model structure includes thermodynamic equations to compute heat transfer as well as mass transfer equations to determine the vaporized mass of the coolant, which occurs in cylinder head passages and the vapor condensation within the radiator. The developed mathematical model was validated against test data carried out on a production four-stroke spark-ignition engine, and simulation results show good agreement with experimental data.

1.
Bova
S.
,
Piccione
R.
,
Durante
D.
and
Perrussio
M.
, 2004, “
Experimental Analysis of the After-Boiling Phenomenon in a Small I.C.E.
,” SAE Paper No. 2004-32-0091.
2.
Piccione
,
R.
, 2004, “
Analisi Numerico-Sperimentale in Regime Transitorio del Sistema di Raffreddamento in un MCI
,” Ph.D. thesis, University of Calabria, Cosenza, Italy.
3.
Bova
S.
,
Piccione
R.
,
Vulcano
A.
, 2007, “
A Zero-Dimensional Two-Phase Model of the Thermal Transient of an I.C.E. Cooling System After a Rapid Switch-Off
,” SAE Paper No. 2006-01-2999.
4.
Bird
,
R. B.
,
Stewart
,
W. E.
, and
Lightfoot
,
E. N.
, 1960,
Transport Phenomena
,
Wiley
,
New York
, Chap. 16 and 21.
5.
Eckert
,
E. R. G.
, and
Drake
,
R. M.
, 1959,
Heat and Mass Transfer
,
McGraw-Hill
,
New York
, Chap. 16.
6.
Incropera
,
F. P.
,
Dewitt
,
D. P.
,
Bergman
,
T. L.
, and
Lavine
,
A. S.
, 2007,
Fundamentals of Heat and Mass Transfer
,
6th ed.
,
Wiley
,
New York
.
7.
Lienhard
,
J. H.
, IV
, and
Lienhard
,
V. J. H.
, 2001,
A Heat Transfer Textbook
,
3rd ed.
,
Phlogiston Press
,
Cambridge, MA
, Chap. 11.
8.
ASHRAE Handbook, 1989, Fundamentals, Chap. 5.
9.
Wang
,
H. S.
, and
Rose
,
J. W.
, 2004, “
Effect of Interphase Matter Transfer on Condensation on Low-Finned Tubes – A Theoretical investigation
,”
Int. J. Heat Mass Transfer
0017-9310,
47
, pp.
179
184
.
10.
Popov
,
S.
,
Melling
,
A.
,
Durst
,
F.
, and
Ward
,
C. A.
, 2005, “
Apparatus for Investigation of Evaporation at Free Liquid-Vapour Interfaces
,”
Int. J. Heat Mass Transfer
0017-9310,
48
, pp.
2299
2309
.
11.
Lee
,
H. S.
, and
O’Neill
,
A. T.
, 2006, “
Comparison of Boiling Curves Between a Standard S.I. Engine and a Flow Loop for a Mixture of Ethylene Glycol and Water
,” SAE SP-2041, pp.
157
167
.
12.
Doebelin
,
E. O.
, 1990,
Measurement System. Application and Design
,
McGraw-Hill
,
New York
.
13.
Schmidt
E.
, 1968,
VDJ–Wasserdampftafeln
,
Springer-Verlag
,
Berlin.
/
R. Oldenbourg
,
München
.
You do not currently have access to this content.