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Convective heat transfer in single-phase flow in a vertical tube subjected to axial low frequency oscillations

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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.

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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

  1. 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

  2. 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

  3. 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

    Article  Google Scholar 

  4. Schlichting H (1979) Boundary layer theory, 7th edn. McGraw-Hill, New York

    MATH  Google Scholar 

  5. Claman M, Minton P (1977) An experimental investigation of flow in an oscillating pipe. J Fluid Mech 81:421–431

    Article  Google Scholar 

  6. 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

    Article  Google Scholar 

  7. 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

    Article  Google Scholar 

  8. 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

    Google Scholar 

  9. Havemann HA, Rao NN (1954) Heat transfer in pulsating flow. Nature 7:41

    Article  Google Scholar 

  10. 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

    Google Scholar 

  11. Lemlich R (1961) Vibration and pulsation boost heat transfer. Chem Eng 68:171–176

    Google Scholar 

  12. Baird MHI, Duncan GJ, Smith JI, Taylor J (1966) Heat transfer in pulsed turbulent flow. Chem Eng Sci 21:197–199

    Article  Google Scholar 

  13. Krasuk JH, Smith JM (1963) Mass transfer in a pulsed column. Chem Eng Sci 18:591–598

    Article  Google Scholar 

  14. 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)

  15. 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

    Article  Google Scholar 

  16. 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

    Article  MATH  Google Scholar 

  17. 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

    Article  MATH  Google Scholar 

  18. Guo Z, Sung HJ (1997) Analysis of the Nusselt number in pulsating pipe flow. Int J Heat Mass Transfer 40:2486–2489

    Article  MATH  Google Scholar 

  19. 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

    Article  MATH  Google Scholar 

  20. 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

    Google Scholar 

  21. 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

    Article  Google Scholar 

  22. 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

    Article  Google Scholar 

  23. 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

    Google Scholar 

  24. Liao NS, Wang CC (1988) On convective heat transfer in pulsating turbulent pipe flow. Exp Heat Transfer Fluid Mech Thermodyn, pp 536–542

  25. Ozisik MN (1985) Heat transfer a basic approach. McGraw-Hill, New York

    Google Scholar 

  26. Hausen H (1983) Heat transfer in counterflow, parallel-flow, and cross-flow. McGraw-Hill, New York

    Google Scholar 

  27. 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

    Google Scholar 

  28. Moffat RJ (1988) Describing the uncertainties in experimental results. Exp Therm Fluid Sci 1:3–17

    Article  Google Scholar 

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Correspondence to A. R. Balakrishnan.

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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

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