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Investigation of thermal transient behavior of block and coolant in an internal combustion engine after shutdown

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Abstract

The proper estimation of thermal behavior of the block and coolant after engine shutdown is essential, because when the engine is shut down and coolant flow stops, cylinder head temperature may increase enough to vaporize a fraction of the coolant within the jackets, eventually causing the pressure to rise and a quantity of the coolant leaks out. Also, the cylinder head will be hotter than the block as a result; their non-homogeneous expansion causes strain–stresses on the head gasket. A simplest and most convenient method to study transient heating and cooling problems is using analytical solution. It has been considered that heat is transferred under one-dimensional, unsteady-state conditions with no internal generation of thermal energy. Results show that the total heat transfer from block to the coolant can be obtained by multiplying engine coolant heat rate (\(\dot{q}_{{{\text{cooling}}}}\)) just before shutdown by L2/α ratio. So the cast iron block transfers much more heat (about 4 times) to the coolant than aluminum block. Hence, the time needed for the aluminum block to reach steady-state conditions is about 4 times faster than cast iron block. Accordingly, in order to reduce fuel consumption and emissions in the warm-up period, the thickness of the block should be minimized as much as possible. For example, the thickness of iron block should be about half the thickness of the aluminum block. Also in order to reduce the heat transfer to the coolant (\(\dot{q}_{{{\text{cooling}}}}\)), the engine should be brought to idle for a short period and finally shut down. In order to determine the control strategy of intelligent cooling system (ICS), the present study suggests that the water pump should be started a few seconds (more than 5 s) after engine shutdown and operated at a lower speed. The main results and innovations of the present work are that the L2/α ratio plays a fundamental role in the design of the engine head and block geometry and the determination of the ICS control strategy after engine shutdown.

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Abbreviations

BMEP:

Brake Mean Effective Pressure

ICS:

Intelligent Cooling System

LCF:

Low Cycle Fatigue

A:

Area (m2)

Bi:

Biot number [-]

C :

Specific heat [ kJ kg1 K1]

\(\dot{E}\) :

Rate of energy [W]

Fo:

Fourier number [-]

h:

Convection heat transfer coefficient [W m2 K1]

K:

Kelvin [K]

k:

Thermal conductivity [W m1 K1]

L, x :

Length (m)

Lc :

Characteristic Length

\(\dot{q}\) :

The rate of energy generation per unit volume [W m3]

T:

Temperature [ºC]

t :

Time [S]

V:

Volume [m3]

α:

Thermal diffusivity [m2 s1]

ρ:

Density [kg m3]

θ:

Dimensionless temperature [-]

c:

Characteristic

f:

Final condition

i:

Initial condition

in:

Inlet

max:

Maximum

n:

Number

out:

Outlet

s:

Surface

st:

Storage

0:

At time = 0

1:

Inner surfaces

2:

Outer surfaces

∞:

Free stream conditions and infinity

*:

Dimensionless form

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Acknowledgements

The author thanks the Irankhodro Powertrain Company (IPCO) for supporting this research and providing the engine experimental setup.

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Correspondence to Mohsen Nazoktabar.

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Nazoktabar, M. Investigation of thermal transient behavior of block and coolant in an internal combustion engine after shutdown. J Therm Anal Calorim 148, 2119–2128 (2023). https://doi.org/10.1007/s10973-022-11823-5

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  • DOI: https://doi.org/10.1007/s10973-022-11823-5

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