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Heat transfer coefficient: a review of measurement techniques

  • Tiago Augusto Moreira
  • Alex Roger Almeida Colmanetti
  • Cristiano Bigonha TibiriçáEmail author
Review
  • 149 Downloads

Abstract

Heat transfer coefficient is a basic parameter used in the calculation of convective heat transfer problems. Due to the importance of the experimental measurements for the development of convective heat transfer, this review identifies, classifies and describes the experimental methods used for the measurement of heat transfer coefficient. The methods were classified into five major groups: (1) direct method, (2) transient method, (3) Wilson method, (4) heat/momentum/mass transfer analogy method and (5) boundary layer thickness method. Their applications, limitations and the reported accuracy were evaluated in the context of new developments in temperature and heat flux measurement techniques. Finally, this review provides criteria for the selection of the most suitable technique for measurements of heat transfer coefficient according to the aspects of spatial resolution, geometric scale, intrusiveness, fluid type, response time and accuracy.

Keywords

Heat transfer coefficient Temperature Heat flux Convection Experimental measurements 

List of symbols

1D

One-dimensional

2D

Two-dimensional

A

Surface area (m2)

Ae

Outer tube surface area (m2)

Ai

Inner tube surface area (m2)

As

Surface area (m2)

Ce

Thermal resistances outside the tube and the tube wall (K/W) (constant)

Ci

Constant

Cf

Fanning friction factor (–), \(C_{\text{f}} = \frac{{\tau_{\text{s}} }}{{\rho V^{2} /2}}\)

c

Constant (–)

cp

Specific heat capacity (J/kg K)

cp,i

Specific heat capacity at constant pressure (J/kg K)

d

Diameter (m)

de

Outer tube diameter (m)

di

Inner tube diameter (m)

Dm

Mass diffusivity (m2/s)

f

Darcy friction factor (–), \(f = 4 \cdot C_{\text{f}}\)

G

Mass velocity (kg/s m2)

h

Heat transfer coefficient (W/m2 K)

hi

Internal convection heat transfer coefficient (W/m2 K)

he

External convection heat transfer coefficient (W/m2 K)

I

Electric current (A)

i

Local enthalpy (J/kg)

iin

Inlet enthalpy of the point at which the applied heat flux starts (J/kg)

il

Enthalpy of liquid (J/kg)

ilat

Latent heat of phase change (J/kg)

ilv

Enthalpy of vaporization (J/kg)

j

Colburn j-factor (–), \(j = St\,Pr^{2/3}\)

jm

Mass transfer Colburn j-factor (–), \(j_{\text{m}} = St_{\text{m}} Sc^{2/3}\)

k

Thermal conductivity (W/m K)

kf

Fluid thermal conductivity (W/m K)

kp

Constant related to the heat flux (1/s)

kw

Tube thermal conductivity (W/m k)

Le

Lewis number (–), \(Le = Sc/Pr\)

Ltr

Length, from the inlet position to the flow pattern transition position (m)

Lw

Tube length (m)

m

Mass of the system (kg)

\(\dot{m}\)

Mass flow rate (kg/s)

\(\dot{m}_{\text{i}}\)

Inner mass flow rate (kg/s)

\(\dot{m}_{\text{pc}}\)

Phase changing mass flow rate (kg/s)

n

Normal direction (–)

n

Velocity exponent (–)

Nu

Nusselt number (–), \(Nu = h \cdot D/k\)

Pr

Prandtl number, \(Pr = c_{\text{p}} \cdot \mu /k\)

q

Thermal energy rate (W)

q

Surface/fluid interface heat flux (W/m2)

R

Electrical resistance (Ω)

Re

Thermal resistance of external convection (K/W)

Re

Reynolds number (–), \(Re = G \cdot D /\mu\)

Ri

Thermal resistance of internal convection (K/W)

RT

Total thermal resistance (K/W)

RW

Tube wall thermal resistance (K/W)

Sc

Schmidt number (–), \(Sc = \frac{\nu }{{D_{\text{m}} }}\)

Sh

Sherwood number (–), \(Sh = \frac{{h_{\text{m}} L}}{{D_{\text{m}} }}\)

St

Stanton number (–), \(St = \frac{Nu}{Re\,Pr}\)

Stm

Mass transfer Stanton number (–), \(St_{\text{m}} = \frac{Sh}{Re\,Sc}\)

T

Temperature (K)

t

Time (s)

Ti,in

Inlet temperature (K)

Ti,out

Outlet temperature (K)

Ts

Wall surface temperature (K)

T

Temperature under free-flow conditions (K)

V

Electric potential difference (V)

v

Fluid velocity (m/s)

xtr

Vapor quality of flow pattern transition (–)

Greek symbols

β

Seebeck coefficient (V/K)

δ

Thermal boundary layer thickness, liquid film thickness (m)

Δe

Seebeck voltage (V)

ΔT

Temperature difference (K)

ΔTLM

Logarithmic mean temperature difference of the fluids (K)

ρv

Vapor density (kg/m3)

Τ

Time constant (s)

τs

Shear stress on the wall (N/m2)

T

Temperature gradient (K/m)

Notes

Acknowledgements

The authors acknowledge the financial support of FAPESP (São Paulo Research Foundation) contract numbers 2016/16849-3 and 2018/06057-4, CAPES (Coordination for the Improvement of Higher Education Personnel) and CNPq (National Council for Scientific and Technological Development).

References

  1. 1.
    Newton I (1701) Scala graduum caloris. Philos Trans R Soc Lond 22:824–829Google Scholar
  2. 2.
    Bergles AE (1988) Enhancement of convective heat transfer: Newton’s legacy pursued, history of heat transfer. In: Layton ET, Lienhard JH (eds) Essays in honor of the 50th anniversary of ASME heat transfer division. ASME, New York, pp 53–64Google Scholar
  3. 3.
    Cheng KC, Fujii T (1998) Heat in history Isaac Newton and heat transfer. Heat Transf Eng 19(4):9–21Google Scholar
  4. 4.
    Besson U (2012) The history of the cooling law: when the search for simplicity can be an obstacle. Sci Educ 21(8):1085–1110Google Scholar
  5. 5.
    Davidzon MI (2012) Newton’s law of cooling and its interpretation. Int J Heat Mass Transf 55:5397–5402Google Scholar
  6. 6.
    Fu BR, Tsou MS, Pan C (2012) Boiling heat transfer and critical heat flux of ethanol–water mixtures flowing through a diverging microchannel with artificial cavities. Int J Heat Mass Transf 55:1807–1814Google Scholar
  7. 7.
    Roudgar M, De Coninck J (2015) Condensation heat transfer coefficient versus wettability. Appl Surf Sci 338:15–21Google Scholar
  8. 8.
    Bejan A (1994) Heat transfer. Wiley, LondonzbMATHGoogle Scholar
  9. 9.
    Tibiriçá CB, Rocha DM, Sueth ILS Jr, Bochio G, Shimizu GKK, Barbosa MC, Ferreira SS (2017) A complete set of simple and optimized correlations for microchannel flow boiling and two-phase flow applications. Appl Therm Eng 126:774–795Google Scholar
  10. 10.
    Doebelin E (2003) Measurement systems: application and design, 5th edn. McGraw-Hill, New YorkGoogle Scholar
  11. 11.
    Webster JG (ed) (1999) Measurement, instrumentation and sensors. CRC Press LLC, Boca RatonGoogle Scholar
  12. 12.
    Gimzewski JK, Gerber C, Meyer E, Sclittler R (1994) Observation of a chemical reaction using a micromechanical sensor. Chem Phys Lett 217:589–594Google Scholar
  13. 13.
    Childs PRN (2001) Practical temperature measurement, 1st edn. Elsevier, AmsterdamGoogle Scholar
  14. 14.
    Yaralioglu G (2011) Ultrasonic heating and temperature measurement in microfluidic channels. Sens Actuators A 170:1–7Google Scholar
  15. 15.
    Afaneh A, Alzebda S, Ivchenko V, Kalashnikov AN (2011) Ultrasonic measurements of temperature in aqueous solutions: why and how. Phys Res Int 2011:156396Google Scholar
  16. 16.
    Ihara I, Kosugi A, Isobe S, Matsuya I (2015) Simultaneous measurements of temperature and heat flux using ultrasound. In: Proceedings of the 9th international conference on sensing technologyGoogle Scholar
  17. 17.
    Zhou C, Wang Y, Qiao C, Zhao S, Huang Z (2016) High-accuracy ultrasonic temperature measurement based on MLS-modulated continuous wave. Measurement 88:1–8Google Scholar
  18. 18.
    Wei D, You-An S, Bi-Nan S, Ye-Wei G, Yan-Xia D, Guang-Ming X (2017) Reconstruction of internal temperature distributions in heat materials by ultrasonic measurements. Appl Therm Eng 112:38–44Google Scholar
  19. 19.
    Park RM (ed) (1993) Manual on the use of thermocouples in temperature measurement, MNL 12, 4th edn. American Society for Testing Materials, PhiladelphiaGoogle Scholar
  20. 20.
    Measurement Computing (2012) Data acquisition handbook. A reference for DAQ and analog & digital signal conditioning, 3th edn. Measurement Computing Corporation, Norton, USAGoogle Scholar
  21. 21.
    Klopfenstein LR Jr (1994) Software linearization techniques for thermocouples, thermistors and RTDs. ISA Trans 33:293–305Google Scholar
  22. 22.
    Kester W (1998) Practical design techniques for power and thermal management. Analog devices. Avaiable at: https://www.analog.com/media/en/training-seminars/design-handbooks/Practical-Design-Techniques-Power-Thermal/Outline.pdf
  23. 23.
    Zhao Y, Song T, Wu D, Wang Q (2012) Research on fiber optic temperature sensor using a novel high-birefrigerant fiber loop mirror with a reflection probe. Sens Actuators A 184:22–27Google Scholar
  24. 24.
    Ge Y, Liu Q, Chang J, Zhang J (2013) Optical sensor temperature measurement based on silicon thermo-optics effect. Optik 124:6946–6949Google Scholar
  25. 25.
    Fan CH, Longtin JP (2000) Laser-based measurement of temperature or concentration change at liquid surfaces. J Heat Transf 122:757–762Google Scholar
  26. 26.
    Chen Q, Li Y, Longtin JP (2003) Real-time laser-based measurement of interface temperature during droplet impingement on a cold surface. Int J Heat Mass Transf 46:879–888Google Scholar
  27. 27.
    Shedd T, Anderson BW (2005) An automated non-contact wall temperature measurement using thermoreflectance. Meas Sci Technol 16:2483–2488Google Scholar
  28. 28.
    Watwe AA, Hollingsworth DK (1994) Liquid crystal images of surface temperature during incipient pool boiling. Exp Therm Fluid Sci 9:22–33Google Scholar
  29. 29.
    Hozejowska S, Piasecka M, Poniewski ME (2009) Boiling heat transfer in vertical minichannels. Liquid crystal experiments and numerical investigations. Int J Therm Sci 48:1049–1059Google Scholar
  30. 30.
    Ozer AB, Oncel AF, Hollingsworth DK, Witte LC (2011) A method of concurrent thermographic–photographic visualization of flow boiling in a minichannel. Exp Therm Fluid Sci 35:1522–1529Google Scholar
  31. 31.
    Megahed A (2012) Local flow boiling heat transfer characteristics in silicon microchannel heat sinks using liquid crystal thermography. Int J Multiph Flow 39:55–65Google Scholar
  32. 32.
    Mah ML, Manfred ME, Kim SS, Prokic M, Yukihara EG, Talghader JJ (2010) Measurement of rapid temperature profiles using thermoluminescent microparticles. IEEE Sens J 10:311–315Google Scholar
  33. 33.
    Trannoy N, Sayoud A, Diaf M, Duvaut T, Jouart JP, Grossel P (2015) Temperature measurement based on photoluminescence of Er3+ doped Sr0.3Cd0.7F2 microcrystal coupled to scanning thermal microcopy. Opt Mater 42:526–531Google Scholar
  34. 34.
    Yukihara EG, Coleman AC, Bastani S, Gustafson T, Talghader JJ, Daniels A, Stamatis D, Lightstone JM, Milby C, Svingala FR (2015) Particle temperatures measurements in closed chamber detonations using thermoluminescence from Li2B4O7:Ag,Cu, MgB4O7:Dy, Li and CaSo4:Ce, Tb. J Lumin 165:145–152Google Scholar
  35. 35.
    Talghader JJ, Mah ML, Yukihara EG, Coleman AC (2016) Thermoluminescent microparticle thermal history sensors. Microsyst Nanoeng 2:16037Google Scholar
  36. 36.
    Reuss DL (1983) Temperature measurements in a radially symmetric flame using holographic interferometry. Combust Flame 49:207–219Google Scholar
  37. 37.
    Kim B, Yuk K, Lee S, Chang S (2004) Use of a phase type elongated circular grating in Talbot Moiré deflectometry. Opt Int J Light Electron Opt 115:121–128Google Scholar
  38. 38.
    Ashrafi ZN, Ashjaee M, Askari MH (2015) Two-dimensional temperature field measurement of a premixed methane/air flame using Mach–Zehnder interferometry. Opt Commun 241:55–63Google Scholar
  39. 39.
    Chaudhuri P, Santra P, Yeole S, Prakash A, Lachhvani LT, Govindarajan J, Reddy DC, Saxena YC (2005) Inspection of brazed joints between cooling tube and heat sink of PFC for SST-1 tokamak by IR thermography technique. Fusion Eng Des 73:375–382Google Scholar
  40. 40.
    Švantner M, Vacíková P, Honner M (2012) IR thermography heat flux measurement in fire safety applications. Infrared Phys Technol 55:292–298Google Scholar
  41. 41.
    Hashimi HAA, Hammer C, Lebon M, Kim J, Scammell A (2017) Phase change heat transfer measurements using optical techniques. In: Proceedings of the 9th world conference on experimental heat transfer, fluid mechanics and thermodynamics, Iguazu Falls, BrazilGoogle Scholar
  42. 42.
    Tibiriçá CB, Ribatski G (2010) Flow boiling heat transfer of R134a and R245fa in a 2.3 mm tube. Int J Heat Mass Transf 53:2459–2468Google Scholar
  43. 43.
    Goss G Jr, Passos JC (2013) Heat transfer during the condensation of R134a inside eight parallel microchannels. Int J Heat Mass Transf 59:9–19Google Scholar
  44. 44.
    Diller TE (1998) Heat flux. In: Webster JG (ed) The measurement, instrumentation and sensor handbook. CRC, Boca RatonGoogle Scholar
  45. 45.
    Singh SK, Yadav MK, Khandekar S (2017) Measurement issues associated with surface mounting of thermopile heat flux sensors. Appl Therm Eng 114:1105–1113Google Scholar
  46. 46.
    Holmberg DG, Womeldorf CA (1999) Performance and modeling of heat flux sensors in different environments. In: HTD-Vol364-4 Proceeding of the ASME heat transfer divisionGoogle Scholar
  47. 47.
    Ballestrın J, Ulmer S, Morales A, Barnes A, Langley LW, Rodrıguez M (2003) Systematic error in the measurement of very high solar irradiance. Sol Energy Mater Sol Cells 80:375–381Google Scholar
  48. 48.
    Gifford A, Hoffie T, Diller S (2010) Huxtable, convection calibration of Schmidt–Boelter heat flux gauges in stagnation and shear air flow. J Heat Transf 132:031601-1Google Scholar
  49. 49.
    Silvani X, Morandini F (2009) Fire spread experiments in the field: temperature and heat fluxes measurements. Fire Saf J 44:279–285Google Scholar
  50. 50.
    Reddy VM, Sudheer S, Prabhu SV, Kumar S (2013) Design and calibration of a new compact radiative heat-flux gauge (RHFG) for combustion applications. Sens Actuators A 203:62–68Google Scholar
  51. 51.
    Chen K, Parker N, Chun W, Oh SJ, Lim SH (2013) Development and testing of a simple heat gauge for the measurement of high-intensity thermal radiation. Int Commun Heat Mass Transf 46:1–6Google Scholar
  52. 52.
    Vega T, Wasson RA, Lattimer BY, Diller TE (2015) Partitioning radiative and convective heat flux. Int J Heat Mass Transf 84:827–838Google Scholar
  53. 53.
    Blackwell BF, Kays WM, Moffat RJ (1972) The turbulent boundary layer on a porous plate: an experimental study of the heat transfer behaviors with adverse pressure gradients. NASA technical Report No. HMT-16Google Scholar
  54. 54.
    Han S, Goldstein RJ (2008) The heat/mass transfer analogy for a simulated turbine endwall. Int J Heat Mass Transf 51:3227–3244zbMATHGoogle Scholar
  55. 55.
    Wojtan L, Ursenbacher T, Thome JR (2005) Investigation of flow boiling in horizontal tubes: part II—development of a new heat transfer model for stratified-wavy, dryout and mist flow regimes. Int J Heat Mass Transf 48:2970–2985Google Scholar
  56. 56.
    Matkovic M, Cavallini A, Del Col D, Rossetto L (2009) Experimental study on condensation heat transfer inside a single circular minichannel. Int J Heat Mass Transf 52:2311–2323Google Scholar
  57. 57.
    ASTM Standard E457-72 (1988) Standard method for measuring heat-transfer rate using a thermal capacitance (slug) calorimeter. Annual Book of ASTM Standards, vol 15, no 03, pp 299–303Google Scholar
  58. 58.
    Vega T, Lattimer B, Diller TE (2013) Fire thermal boundary condition measurement using a hybrid heat flux. Fire Saf J 61:127–137Google Scholar
  59. 59.
    Ferreira SS, Tibiricá CB (2018) The effect of inclination angle in the performance of pulsating heat pipes. In: 3rd SIPGEM, symposium of the graduated program in mechanical engineering, São Carlos, BrazilGoogle Scholar
  60. 60.
    PASCO Scientific (1987) Thermal conductivity apparatus. Instruction Manual and Experiment Guide for the PASCO scientific Model TD-8561Google Scholar
  61. 61.
    Hubble DO, Diller TE (2009) A hybrid method for measuring heat flux. ASME J Heat Transf.  https://doi.org/10.1115/1.4000051 CrossRefGoogle Scholar
  62. 62.
    Naylor D (2003) Recent developments in the measurement of convective heat transfer rates by laser interferometry. Int J Heat Fluid Flow 24:345–355Google Scholar
  63. 63.
    Naylor D, Roeleveld D (2009) Measurement error in laser interferometry caused by free convective boundary layers on optical windows. Opt Lasers Eng 47(11):1103–1107Google Scholar
  64. 64.
    Tanda G, Fossa M, Misale M (2014) Heat transfer measurements in water using a schlieren technique. Int J Heat Mass Transf 71:451–458Google Scholar
  65. 65.
    Settles GS (1985) Colour-coding schlieren techniques for the optical study of heat and fluid flow. Int J Heat Fluid Flow 6(1):0142–0727Google Scholar
  66. 66.
    Dong ZF, Ebadian MA (1992) A modified formula for calculating the heat transfer coefficient by the shadowgraph technique. Therm Mass Transf 35(7):1833–1836Google Scholar
  67. 67.
    Tibiriçá CB, Ribatski G (2014) Flow patterns and bubble departure fundamental characteristics during flow boiling in microscale channels. Exp Therm Fluid Sci 59:152–165Google Scholar
  68. 68.
    Freund S, Pautsch AG, Shedd TA, Kabelac S (2006) Local heat transfer coefficients in spray cooling systems measured with temperature oscillation IR. Int J Heat Mass Transf 50:1953–1962Google Scholar
  69. 69.
    Colaço MJ, Orlande HRB, Dulikravich GS (2006) Inverse and optimization problems in heat transfer. J Braz Soc Mech Sci Eng 28(1):1–24Google Scholar
  70. 70.
    Naylor D, Duarte N (1999) Direct temperature gradient measurement using interferometry. Exp Heat Transf 12(4):279–294Google Scholar
  71. 71.
    Meng X, Yan B, Gao Y, Wang J, Zhang W, Long E (2015) Factors affecting the in situ measurement accuracy of the wall heat transfer coefficient using the heat flow meter method. Energy Build 86:754–765Google Scholar
  72. 72.
    Yang W, Zhu X, Liu J (2017) Annual experimental research on convective heat transfer coefficient of exterior surface of building external wall. Energy Build 155:207–214Google Scholar
  73. 73.
    Höser D, von Rohr PR (2018) Experimental heat transfer study of confined flame jet impinging on a flat surface. Exp Therm Fluid Sci 91:166–174Google Scholar
  74. 74.
    Yoon JI, Moon CG, Kim E, Son YS, Kim D, Kato T (2001) Experimental study on freezing of water with supercooled region in a horizontal cylinder. Appl Therm Eng 21:657–668Google Scholar
  75. 75.
    Guanghui SU, Sugiyama K, Yingwei WU (2007) Natural convection heat transfer of water in a horizontal circular gap. Front Energy Power Eng China 1(2):167–173Google Scholar
  76. 76.
    Dai C, Wang J (2016) External natural convection from a Joule heated horizontal platinum wire in water at low Rayleigh number. Int J Heat Mass Transf 93:754–759Google Scholar
  77. 77.
    Cerqueira IG, Mota CAA, Nunes JS, Cotta RM, Balbo A, Achete CA (2013) Experiments and simulations of laminar forced convection with water–alumina nanofluids in circular tubes. Heat Transfer Eng 34(5–6):447–459Google Scholar
  78. 78.
    Moreira TA, Alvariño PF, Cabezas-Gómez L, Ribatski G (2017) Experimental and numerical study of slightly loaded water alumina nanofluids in the developing region of a 1.1 mm in diameter pipe and convective enhancement evaluation. Int J Heat Mass Transf 115:317–335Google Scholar
  79. 79.
    Lomascolo M, Colangelo G, Milanese M, Risi A (2015) Review of heat transfer in nanofluids: conductive, convective and radiative experimental results. Renew Sustain Energy Rev 43:1182–1198Google Scholar
  80. 80.
    Ribatski G, Saiz-Jabardo JM (2003) Experimental study of nucleate boiling of halocarbon refrigerants on cylindrical surfaces. Int J Heat Mass Transf 46:4439–4451Google Scholar
  81. 81.
    Gerardi C, Buongiorno J, Hu L, McKrell T (2010) Study of bubble growth in water pool boiling through synchronized, infrared thermometry and high-speed video. Int J Heat Mass Transf 53:4185–4192Google Scholar
  82. 82.
    Saiz-Jabardo JM, Bandarra-Filho EP (2000) Convective boiling of halocarbon refrigerants flowing in a horizontal copper tube—an experimental study. Exp Therm Fluid Sci 23:93–104Google Scholar
  83. 83.
    Quibén JM, Cheng L, Lima RJS, Thome JR (2009) Flow boiling in horizontal flattened tubes: part I—two-phase frictional pressure drop results and model. Int J Heat Mass Transf 52:3634–3644Google Scholar
  84. 84.
    Díaz MC, Schmidt J (2007) Experimental investigation of transient boiling heat transfer in microchannels. Int J Heat Fluid Flow 28:95–102Google Scholar
  85. 85.
    Tibiricá CB, Ribatski G, Thome JR (2012) Flow boiling characteristics for R1234ze(E) in 1.0 and 2.2 mm circular channels. J Heat Transf 134:020906-8Google Scholar
  86. 86.
    Kanizawa FT, Tibiriçá CB, Ribatski G (2016) Heat transfer during convective boiling inside microchannels. Int J Heat Mass Transf 93:566–583Google Scholar
  87. 87.
    Szczukiewicz S, Borhani N, Thome JR (2013) Fine-resolution two-phase flow heat transfer coefficient measurements of refrigerants in multi-microchannel evaporators. Int J Heat Mass Transf 67:913–929Google Scholar
  88. 88.
    Del Col D, Bortolin S, Rossetto L (2013) Convective boiling inside a single circular microchannel. Int J Heat Mass Transf 67:1231–1245Google Scholar
  89. 89.
    Sapali SN, Patil PA (2010) Heat transfer during condensation of HFC-134a and R-404A inside of a horizontal smooth and micro-fin tube. Exp Therm Fluid Sci 34:1133–1141Google Scholar
  90. 90.
    Shin JS, Kim MH (2004) An experimental study of condensation heat transfer inside a mini-channel with a new measurement technique. Int J Multiph Flow 30:311–325zbMATHGoogle Scholar
  91. 91.
    Del Col D, Parin R, Bisetto A, Bortolin S, Martucci A (2017) Film condensation of steam flowing on a hydrophobic surface. Int J Heat Mass Transf 107:307–318Google Scholar
  92. 92.
    Schumann TEW (1929) Heat transfer: a liquid flowing through a porous prism. J Frankl Inst 208:405–416zbMATHGoogle Scholar
  93. 93.
    Furnas CC (1930) Heat transfer from a gas stream to a bed of broken solids. Ind Eng Chem 22:721–731Google Scholar
  94. 94.
    Pucci PF, Howard CP, Piersall CH Jr (1967) The single-blow transient testing technique for compact heat exchangers. J Eng Gas Turbine Power 89:29–40Google Scholar
  95. 95.
    Heggs PJ, Burns D (1988) Single-blow experimental prediction of heat transfer coefficients. Exp Therm Fluid Sci 1:243–251Google Scholar
  96. 96.
    Roetzel W, Luo X, Xuan Y (1993) Measurement of heat transfer coefficient and axial dispersion coefficient using temperature oscillations. Exp Therm Fluid Sci 7:345–353Google Scholar
  97. 97.
    Roetzel W, Das SK, Luo X (1994) Measurement of the heat transfer coefficient in plate heat exchangers using a temperature oscillation technique. Int J Heat Mass Transf 37:325–331Google Scholar
  98. 98.
    Ros S, Jallut C, Grillot JM, Amblard M (1995) A transient-state technique for the heat transfer coefficient measurement in a corrugated plate heat exchanger channel based on frequency response and residence time distribution. Int J Heat Mass Transf 38:1317–1325Google Scholar
  99. 99.
    Becker BR, Fricke BA (2004) Heat transfer coefficients for forced-air cooling and freezing of selected foods. Int J Refrig 27:540–551Google Scholar
  100. 100.
    Freund S, Pautsch AG, Shedd TA, Kabelac S (2007) Local heat transfer coefficients in spray cooling systems measured with temperature oscillation IR thermography. Int J Heat Mass Transf 50:1953–1962Google Scholar
  101. 101.
    Hoke K, Landfeld A, Severa J, Kýhos K, Žitný R, Houška M (2007) Prediction of the average surface heat transfer coefficient for model foodstuffs in a vertical display cabinet. Czech J Food Sci 26:199–210Google Scholar
  102. 102.
    Freund S, Kabelac S (2010) Investigation of local heat transfer coefficients in plate heat exchangers with temperature oscillation IR thermography and CFD. Int J Heat Mass Transf 53:3764–3781zbMATHGoogle Scholar
  103. 103.
    Ryfa A, Białecki R (2011) Heat transfer coefficient retrieval in the impingement jet heat transfer. In: Proceedings of the computer methods in mechanics, Warsaw, PolandGoogle Scholar
  104. 104.
    Hasan HS, Peet MJ, Jalil JM, Bhadeshia HKDH (2011) Heat transfer coefficients during quenching of steels. Heat Mass Transf 47:315–321Google Scholar
  105. 105.
    Hasan HS (2009) Evaluation of heat transfer coefficient during quenching of steels. Doctoral Thesis Department of Electromechanical Engineering/University of Technology, BaghdadGoogle Scholar
  106. 106.
    Leblay P, Henry JF, Caron D, Leducq D, Bontemps A, Fournaison L (2013) IR thermography measurement of convective coefficients in a pipe with periodic excitation. Int J Therm Sci 74:183–189Google Scholar
  107. 107.
    Buczek A, Telejko T (2013) Investigation of heat transfer coefficient during quenching in various cooling agents. Int J Heat Fluid Flow 44:358–364Google Scholar
  108. 108.
    Conti R, Gallitto AA, Fiordilino E (2014) Measurement of the convective heat-transfer coefficient. Phys Teach 52:109Google Scholar
  109. 109.
    Leblay P, Henry JF, Caron D, Leducq D, Fournaison L, Bontemps A (2014) Characterization of the hydraulic maldistribution in a heat exchanger by local measurement of convective heat transfer coefficients using infrared thermography. Int J Refrig 45:73–82Google Scholar
  110. 110.
    Cho GH, Tang H, Owen JM, Lock GD (2016) On the measurement and analysis of data from transient heat transfer experiments. Int J Heat Mass Transf 98:268–276Google Scholar
  111. 111.
    Ranganayakulu C, Luo X, Kabelac S (2017) The single-blow transient testing technique for offset and wavy fins of compact plate-fin heat exchangers. Appl Therm Eng 111:1588–1595Google Scholar
  112. 112.
    Krishnakumar K, John AK, Venkatarathnam G (2011) A review on transient test techniques for obtaining heat transfer design data of compact heat exchanger surfaces. Exp Therm Fluid Sci 35:738–743Google Scholar
  113. 113.
    Sugianto A, Narazaki M, Kogawara M, Shirayori A (2009) A comparative study on determination method of heat transfer coefficient using inverse heat transfer and iterative modification. J Mater Process Technol 209:4627–4632Google Scholar
  114. 114.
    Wilson EE (1915) A basis of rational design of heat transfer apparatus. ASME J Heat Transf 37:47–70Google Scholar
  115. 115.
    Rose JW (2004) Heat-transfer coefficients, Wilson plots and accuracy of thermal measurements. Exp Therm Fluid Sci 28:77–86Google Scholar
  116. 116.
    Fernandez-Seara J, Uhía FJ, Sieres J, Campo A (2007) A general review of the Wilson plot method and its modifications to determine convection coefficients in heat exchange devices. Appl Therm Eng 27:2745–2757Google Scholar
  117. 117.
    Fernando P, Palm B, Ameel T, Lundqvist P, Granryd E (2008) A minichannel aluminum tube heat exchanger—Part I: evaluation of single-phase heat transfer coefficients by the Wilson plot method. Int J Refrig 31:669–680Google Scholar
  118. 118.
    Jin S, Hrnjak P (2017) Effect of end plates on heat transfer of plate heat exchanger. Int J Heat Mass Transf 108:740–748Google Scholar
  119. 119.
    Li H, Huang H, Xu G, Wen J, Wu H (2017) Performance analysis of a novel compact air-air heat exchanger for aircraft gas turbine engine using LMTD method. Appl Therm Eng 116:445–455Google Scholar
  120. 120.
    Kwon B, Maniscalco NI, Jacobi AM, King WP (2018) High power density air-cooled microchannel heat exchanger. Int J Heat Mass Transf 118:1276–1283Google Scholar
  121. 121.
    Li MJ, Zhang H, Zhang J, Mu YT, Tian E, Dan D, Zhang XD, Tao WQ (2018) Experimental and numerical study and comparison of performance for wavy fin and a plain fin with radiantly arranged winglets around each tube in fin-and-tube heat exchangers. Appl Therm Eng 133:298–307Google Scholar
  122. 122.
    Muszynski T, Andrzejczyk R (2016) Applicability of arrays of microjet heat transfer correlations to design compact heat exchangers. Appl Therm Eng 100:105–113Google Scholar
  123. 123.
    Zhao CY, Ji WT, Jin PH, Zhong YJ, Tao WQ (2018) Experimental study of the local and average falling film evaporation coefficients in a horizontal enhanced tube bundle using R134a. Appl Therm Eng 129:502–511Google Scholar
  124. 124.
    Ribatski G, Thome JR (2007) Experimental study on the onset of local dryout in an evaporating falling film on horizontal plain tubes. Exp Therm Fluid Sci 31:483–493Google Scholar
  125. 125.
    Lee D, Kim D, Park S, Lim J, Kim Y (2018) Evaporation heat transfer coefficient and pressure drop of R-1233zd(E) in a brazed plate heat exchanger. Appl Therm Eng 130:1147–1155Google Scholar
  126. 126.
    Fernández-Seara J, Pardiñas AA, Diz R (2016) Experimental heat transfer coefficients of pool boiling and spray evaporation of ammonia on a horizontal plain tube. Int J Refrig 67:259–270Google Scholar
  127. 127.
    Gorgy E, Eckels S (2012) Local heat transfer coefficient for pool boiling of R-134a and R-123 on smooth and enhanced tubes. Int J Heat Mass Transf 55:3021–3028Google Scholar
  128. 128.
    Yang CY, Nalbandian H, Lin FC (2018) Flow boiling heat transfer and pressure drop of refrigerants HFO-1234yf and HFC-134a in small circular tube. Int J Heat Mass Transf 121:726–735Google Scholar
  129. 129.
    Bortolin S, Bortolato M, Azzolin M, Del Col D (2018) Comparative experimental procedures for measuring the local heat transfer coefficient during flow boiling in a microchannel. Exp Therm Fluid Sci 90:231–245Google Scholar
  130. 130.
    Sarraf K, Launay S, Achkar GE, Tadrist L (2015) Local vs global heat transfer and flow analysis of hydrocarbon complete condensation in plate heat exchanger based on infrared thermography. Int J Heat Mass Transf 90:878–893Google Scholar
  131. 131.
    Colburn AP (1964) A method of correlating forced convection heat transfer data and a comparison with fluid friction. Int J Heat Mass Transf 7:1359–1384Google Scholar
  132. 132.
    Lewis JS (1971) Heat transfer predictions from mass transfer measurements around a single cylinder in cross flow. Int J Heat Mass Transf 14:325–329Google Scholar
  133. 133.
    Gnielinski V (1976) New equations for heat and mass transfer in turbulent pipe and channel flow. Int Chem Eng 16:359–367Google Scholar
  134. 134.
    Shenoy AV (1992) Momentum/heat transfer analogy for power-law fluids during turbulent boundary layer flow with mild pressure gradients. Int J Heat Mass Transf 35:5342zbMATHGoogle Scholar
  135. 135.
    Li H, Kottke V (1998) Visualization and determination of local heat transfer coefficients in shell-and-tube heat exchangers for staggered tube arrangement by mass transfer measurements. Exp Therm Fluid Sci 17:210–216Google Scholar
  136. 136.
    Steeman HJ, Janssens A, De Paepe M (2009) On the applicability of the heat and mass transfer analogy in indoor air flows. Int J Heat Mass Transf 52:1431–1442zbMATHGoogle Scholar
  137. 137.
    Astolfi-Filho Z, Oliveira EB, Coimbra JSR, Telis-Romero J (2012) Friction factors, convective heat transfer coefficients and the Colburn analogy for industrial sugarcane juices. Biochem Eng J 60:111–118Google Scholar
  138. 138.
    Kulkarni KS, Madanan U, Mittal R, Goldstein RJ (2017) Experimental validation of heat/mass transfer analogy for, two-dimensional laminar and turbulent boundary layers. Int J Heat Mass Transf 113:84–95Google Scholar
  139. 139.
    Mittal R, Madanan U, Goldstein RJ (2017) The heat/mass transfer analogy for a backward facing step. Int J Heat Mass Transf 113:411–422Google Scholar
  140. 140.
    Qi L, Jianhua L, Liang Z, Xiaojin X (2017) Effect of environmental pressure on heat and mass transfer characteristics for fin-and-tube heat exchangers under non-unit Lewis factor. Appl Therm Eng 116:784–791Google Scholar
  141. 141.
    Goldstein RJ, Cho HH (1995) A review of mass transfer measurements using naphthalene sublimation. Exp Therm Fluid Sci 10:416–434Google Scholar
  142. 142.
    Petukhov BS, Kurganov VA, Gladuntsov AI (1973) Heat transfer in turbulent pipe flow of gases with variable properties. Heat Transf Sov Res 5:109–116Google Scholar
  143. 143.
    Lienhard JH IV, Lienhardt JH V (2001) A heat transfer textbook, 3rd edn. Phlogiston Press Cambridge, MassachusettsGoogle Scholar
  144. 144.
    Leble S, Lewandowski WM (2017) Theoretical consideration of free convective heat transfer from a round isothermal plate slightly inclined from the vertical. Int J Heat Mass Transf 109:835–843Google Scholar
  145. 145.
    Nusselt W (1916) Die Oberflächenkondensation des Wasserdampfes. Z Ver Dtsch Ing 60(27):541–546Google Scholar
  146. 146.
    Chen SL, Ke MT (1993) Forced convective film condensation inside vertical tubes. Int J Multiph Flow 19:1045–1060zbMATHGoogle Scholar
  147. 147.
    Jayanti S, Hewitt GF (1997) Hydrodynamics and heat transfer of wavy thin film flow. Int J Heat Mass Transf 40:179–190zbMATHGoogle Scholar
  148. 148.
    Kim DE, Yang KH, Hwang KW, Ha YH, Kim MH (2011) Simple heat transfer model for laminar film condensation in a vertical tube. Nucl Eng Des 241:2544–2548Google Scholar
  149. 149.
    Kim S, Lee YG, Jerng DW (2015) Laminar film condensation of saturated vapor on an isothermal vertical cylinder. Int J Heat Mass Transf 83:545–551Google Scholar
  150. 150.
    Qu W, Mudawar I (2003) Flow boiling heat transfer in two-phase micro-channel heat sinks—II. Annular two-phase flow model. Int J Heat Mass Transf 46:2773–2784Google Scholar
  151. 151.
    Magnini M, Thome JR (2017) An updated three-zone heat transfer model for slug flow boiling in microchannels. Int J Multiph Flow 91:296–314MathSciNetGoogle Scholar
  152. 152.
    Tibiriçá CB, Nascimento FJ, Ribatski G (2010) Film thickness measurement techniques applied to micro-scale two-phase flow systems. Exp Therm Fluid Sci 34:463–473Google Scholar
  153. 153.
    Vitrac O, Trystram G (2005) A method for time and spatially resolved measurement of convective heat transfer coefficient (h) in complex flows. Chem Eng Sci 60:1219–1236Google Scholar
  154. 154.
    Pisters K, Prakash A (2011) Investigations of axial and radial variations of heat transfer coefficient in bubbling fluidized bed with fast response probe. Powder Technol 207:224–231Google Scholar
  155. 155.
    Uffrecht KW, Heinschke B, Günther A, Caspary V, Odenbach S (2015) Measurement of heat transfer coefficients at up to 25,500 g e A sensor test at a rotating free disk with complex telemetric instrumentation. Int J Therm Sci 96:331–344Google Scholar

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  • Tiago Augusto Moreira
    • 1
  • Alex Roger Almeida Colmanetti
    • 1
  • Cristiano Bigonha Tibiriçá
    • 1
    Email author
  1. 1.Heat Transfer Research Group, Department of Mechanical Engineering, Sao Carlos School of EngineeringUniversity of São PauloSão CarlosBrazil

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