Abstract
The effect of oscillations on the heat transfer in a vertical tube has been studied experimentally. A vertical tube was mounted on a plate and the whole plate was subjected to oscillations in the vertical plane using a mechanical oscillator to provide low frequency oscillations. A section of the tube in the middle is subjected to a constant heat flux. The effect of the oscillations on the heat transfer coefficient has been examined. It was found that the heat transfer coefficient increased with oscillations in the laminar regime. In turbulent flow regime (Re > 2,100) it is found that the effect of oscillations did not show any change. A correlation has been developed for enhancement of the local Nusselt number in terms of the effective acceleration and Reynolds number. Using this, an expression has been proposed to calculate the mean Nusselt number as a function of the tube length.
Similar content being viewed by others
Abbreviations
- a :
-
acceleration (m/s2)
- D :
-
diameter of pipe (m)
- g :
-
gravitational acceleration (m/s2)
- Gz :
-
Graetz number
- h x :
-
local heat transfer coefficient (W/m2 °C)
- k :
-
thermal conductivity (W/m °C)
- L:
-
length of the tube (m)
- Nu m,os :
-
mean Nusselt number under oscillating conditions
- Nu m,s :
-
mean Nusselt number at steady state
- Nu x :
-
local Nusselt number
- Nu x,os :
-
local Nusselt number under oscillating conditions
- Nu x,s :
-
local Nusselt number at steady state
- Pr:
-
Prandtl number
- q :
-
heat flux (W/m2)
- Re:
-
Reynolds number
- T bx :
-
bulk liquid temperature (°C)
- T wx :
-
tube wall temperature (°C)
- Q :
-
volumetric flow rate (m3/s)
- \( \overline{{\Delta Q}} \) :
-
magnitude of variation in flow rate (m3/s)
- x :
-
axial distance (m)
- ω :
-
frequency (radians/s)
References
Humphries JR, Davies K (1998) A floating desalination/co-generation system using the KLT–40 reactor and Canadian RO desalination technology. In: Proceedings of advisory group meeting, vol 1172. International Atomic Energy Agency, Vienna, IAEA-TECDOC, pp 41–52
Panov YK, Polunichev VI, Zverev KV (1998) Nuclear floating power desalination complexes. In: Proceedings of four technical meeting, vol 1056. International Atomic Energy Agency, Vienna, IAEA-TECDOC, pp 93–104
Ishida I, Kusunoki T, Murata H, Yokomura Y, Kobayashi M, Nariai H (1990) Thermal hydraulic behavior of a marine reactor during oscillations. Nucl Eng Des 120:213–225
Schlichting H (1979) Boundary layer theory, 7th edn. McGraw-Hill, New York
Claman M, Minton P (1977) An experimental investigation of flow in an oscillating pipe. J Fluid Mech 81:421–431
Isshiki N (1966) Effects of heaving and listing upon thermal hydraulic performance and critical heat flux of water cooled marine reactors. Nucl Eng Des 4:138–162
Otsuji T, Kurosowa A (1982) Critical heat flux of forced convection boiling in an oscillating acceleration field—I. General trends. Nucl Eng Des 71:15–26
Martinelli RC, Boelter LMK, Weinberg EB, Yakahi S (1943) Heat transfer to a fluid flowing periodically at low frequencies in a vertical tube. Trans ASME 65:789–798
Havemann HA, Rao NN (1954) Heat transfer in pulsating flow. Nature 7:41
West FB, Taylor AT (1952) The effect of pulsation on heat transfer in turbulent flow of water inside tubes. Chem Eng Prog 48:39–43
Lemlich R (1961) Vibration and pulsation boost heat transfer. Chem Eng 68:171–176
Baird MHI, Duncan GJ, Smith JI, Taylor J (1966) Heat transfer in pulsed turbulent flow. Chem Eng Sci 21:197–199
Krasuk JH, Smith JM (1963) Mass transfer in a pulsed column. Chem Eng Sci 18:591–598
Pendyala R, Jayanti S, Balakrishnan AR (2007) Flow and pressure drop fluctuations in a vertical tube subject to low frequency oscillations. Nucl Eng Des (in press)
Cho HW, Hyun JM (1990) Numerical solutions of pulsating flow and heat transfer characteristics in a pipe. Int J Heat Fluid Flow 11:321–330
Kim SY, Kang BH, Hyun JM (1993) Heat transfer in the thermally developing region of a pulsating channel flow. Int J Heat Mass Transfer 36:4257–4266
Moschandreou T, Zamir M (1997) Heat transfer in a tube with pulsating flow and a constant heat flux. Int J Heat Mass Transfer 40:2461–2466
Guo Z, Sung HJ (1997) Analysis of the Nusselt number in pulsating pipe flow. Int J Heat Mass Transfer 40:2486–2489
Yu JC, Li ZX, Zhao TS (2004) An analytical study of laminar heat convection in a circular pipe with constant heat flux. Int J Heat Mass Transfer 47:5297–5301
Gbadibo SA, Said SAM, Habib MA (1999) Average Nusselt number correlation in the thermal entrance region of steady and pulsating turbulent pipe flows. Heat Mass Transfer 35:337–381
Habib MA, Attya AM, Eid AI, Aly AZ (2002) Convective heat transfer characteristics of laminar pulsating pipe air flow. Heat Mass Transfer 38:221–232
Zohir AE, Habib MA, Attya AM, Eid AI (2006) An experimental investigation of heat transfer to pulsating pipe airflow with different amplitudes. Heat Mass Transfer 42:625–635
Mamayev VV, Nosov VS, Syromyatnikov NL (1976) Investigation of heat transfer in pulsed flow of air in pipes. Heat Transfer-Soviet Res 8:111–116
Liao NS, Wang CC (1988) On convective heat transfer in pulsating turbulent pipe flow. Exp Heat Transfer Fluid Mech Thermodyn, pp 536–542
Ozisik MN (1985) Heat transfer a basic approach. McGraw-Hill, New York
Hausen H (1983) Heat transfer in counterflow, parallel-flow, and cross-flow. McGraw-Hill, New York
Shah RK, Bhatti MS (1987) Laminar convective heat transfer in ducts. In: Kakac S, Shah RK, Aung W (eds) Hand book of single-phase convective heat transfer, Wiley, New York
Moffat RJ (1988) Describing the uncertainties in experimental results. Exp Therm Fluid Sci 1:3–17
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pendyala, R., Jayanti, S. & Balakrishnan, A.R. Convective heat transfer in single-phase flow in a vertical tube subjected to axial low frequency oscillations. Heat Mass Transfer 44, 857–864 (2008). https://doi.org/10.1007/s00231-007-0302-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00231-007-0302-3