Hydrogen is adopted as coolant for regenerative cooling nozzle and reactor core in nuclear thermal propulsion (NTP), which is a promising technology for human space exploration in the near future due to its large thrust and high specific impulse. During the cooling process, the hydrogen alters its state from subcritical to supercritical, accompanying with great variations of fluid properties and heat transfer characteristics. This paper is intended to study heat transfer processes of supercritical pressure hydrogen under extremely high heat flux by using numerical approach. To begin with, the models explaining the variation of density, specific heat capacity, viscosity, and thermal conductivity are introduced. Later on, the convective heat transfer to supercritical pressure hydrogen in a straight tube is investigated numerically by employing a computational model, which is simplified from experiments performed by Hendricks et al. During the simulation, the standard k–ε model combining the enhanced wall treatment is used to formulate the turbulent viscosity, and the results validates the approach through successful prediction of wall temperature profile and bulk temperature variation. Besides, the heat transfer deterioration which may occur in the heat transport of supercritical fluids is also observed. According to the results, it is deduced that the flow acceleration to a flat velocity profile in the near wall region due to properties variation of hydrogen contributes to the suppression of turbulence and the heat transfer deterioration, while the “M-shaped” velocity profile is more often correlated to the starting of a recovery phase of turbulence production and heat transfer.

References

1.
Borowski
,
S. K.
,
2013
, “
Nuclear Thermal Propulsion: Past Accomplishments, Present Efforts, and a Look Ahead
,”
J. Aerosp. Eng.
,
26
(
2
), pp.
334
342
.
2.
Ludewig
,
H.
,
Powell
,
J. R.
,
Todosow
,
M.
,
Maise
,
G.
,
Barletta
,
D.
, and
Schweitzer
,
D. G.
,
1996
, “
Design of Particle Bed Reactors for the Space Nuclear Thermal Propulsion Program
,”
Prog. Nucl. Energy
,
30
(
1
), pp.
1
65
.
3.
Negishi
,
H.
,
Daimon
,
Y.
, and
Yamanishi
,
N.
,
2010
, “
Numerical Investigation of Supercritical Coolant Flow in Liquid Rocket Engine
,”
AIAA
Paper No. 2010-6888.
4.
Miller
,
W. S.
,
Seader
,
J. D.
, and
Trebes
,
D.
,
1965
, “
Supercritical Pressure Liquid Hydrogen Heat Transfer Data Compilation
,” Rocketdyne, Canoga Park, CA, Report No. NP-15332.
5.
Hendricks
,
R. C.
,
1966
, “
Experimental Heat-Transfer Results for Cryogenic Hydrogen Flowing in Tubes at Subcritical and Supercritical Pressures to 800 Pounds per Square Inch Absolute
,” NASA Lewis Research Center, Cleveland, OH, Report No.
NASA-TN-D-3095
.https://ntrs.nasa.gov/search.jsp?R=19660011645
6.
Taylor
,
M. F.
,
1968
, “
Correlation of Local Heat Transfer Coefficients for Single Phase Turbulent Flow of Hydrogen in Tubes With Temperature Ratios to 23
,” NASA, Washington, DC, Report No.
NASA-TN-D-4332
.https://ntrs.nasa.gov/search.jsp?R=19680004771
7.
Taylor
,
M. F.
,
1970
, “
Summary of Variable Property Heat-Transfer Equations and Their Applicability to a Nuclear Rocket Nozzle
,”
Fourth International Heat Transfer Conference
, Aug. 31–Sept. 5, Paris, France, pp. 1–7.
8.
Youn
,
B.
, and
Mills
,
A. F.
,
1993
, “
Flow of Supercritical Hydrogen in a Uniformly Heated Circular Tube
,”
Numer. Heat Transfer, Part A
,
24
(
1
), pp.
1
24
.
9.
Schnurr
,
N. M.
,
Sastry
,
V. S.
, and
Shapiro
,
A. B.
,
1976
, “
A Numerical Analysis of Heat Transfer to Fluids Near the Thermodynamic Critical Point Including the Thermal Entrance Regio
,”
ASME J. Heal Transfer
,
98
(
4
), pp.
609
615
.
10.
Hsu
,
Y. Y.
, and
Smith
,
J. M.
,
1961
, “
The Effect of Density Variation on Heat Transfer in the Critical Region
,”
ASME J. Hear Transfer
,
83
(
2
), pp.
176
182
.
11.
Pizzarelli
,
M.
,
Urbano
,
A.
, and
Nasuti
,
F.
,
2010
, “
Numerical Analysis of Deterioration in Heat Transfer to Near-Critical Rocket Propellants
,”
Numer. Heat Transfer, Part A
,
57
(
5
), pp.
297
314
.
12.
Peng
,
D. Y.
, and
Robinson
,
D. B.
,
1976
, “
A New Two-Constant Equation of State
,”
Ind. Eng. Chem. Fundam.
,
15
(
1
), pp.
59
64
.
13.
Leachman
,
J. W.
,
Jacobsen
,
R. T.
,
Penoncello
,
S. G.
, and
Lemmon
,
E. W.
,
2009
, “
Fundamental Equations of State for Parahydrogen, Normal Hydrogen, and Orthohydrogen
,”
J. Phys. Chem. Ref. Data
,
38
(
3
), pp.
721
748
.
14.
Diller
,
D. E.
,
1965
, “
Measurements of the Viscosity of Parahydrogen
,”
J. Chem. Phys.
,
42
(
6
), pp.
2089
2100
.
15.
Woolley
,
H. W.
,
Scott
,
R. B.
, and
Brickwedde
,
F. G.
,
1948
, “
Compilation of Thermal Properties of Hydrogen in Its Various Isotopic and Ortho-Para Modifications
,” National Bureau of Standards, Gaithersburg, MD, Standard No. 5.
16.
Assael
,
M. J.
,
Assael
,
J.-A. M.
,
Huber
,
M. L.
,
Perkins
,
R. A.
, and
Takata
,
Y.
,
2011
, “
Correlation of the Thermal Conductivity of Normal and Parahydrogen From the Triple Point to 1000 K and Up to 100 MPa
,”
J. Phys. Chem. Ref. Data
,
40
(
3
), p.
033101
.
17.
Ji
,
Y.
,
Shi
,
L.
, and
Sun
,
J.
,
2017
, “
Numerical Investigation of Convective Heat Transfer to Supercritical Hydrogen in a Straight Tube
,”
ASME
Paper No. ICONE25-66610.
18.
ANSYS
,
2012
, “
ANSYS Fluid Dynamics Verification Manual
,” ANSYS Inc., Canonsburg, PA.
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