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.
Similar content being viewed by others
Abbreviations
- 1D:
-
One-dimensional
- 2D:
-
Two-dimensional
- A :
-
Surface area (m2)
- A e :
-
Outer tube surface area (m2)
- A i :
-
Inner tube surface area (m2)
- A s :
-
Surface area (m2)
- C e :
-
Thermal resistances outside the tube and the tube wall (K/W) (constant)
- C i :
-
Constant
- C f :
-
Fanning friction factor (–), \(C_{\text{f}} = \frac{{\tau_{\text{s}} }}{{\rho V^{2} /2}}\)
- c :
-
Constant (–)
- c p :
-
Specific heat capacity (J/kg K)
- c p,i :
-
Specific heat capacity at constant pressure (J/kg K)
- d :
-
Diameter (m)
- d e :
-
Outer tube diameter (m)
- d i :
-
Inner tube diameter (m)
- D m :
-
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)
- h i :
-
Internal convection heat transfer coefficient (W/m2 K)
- h e :
-
External convection heat transfer coefficient (W/m2 K)
- I :
-
Electric current (A)
- i :
-
Local enthalpy (J/kg)
- i in :
-
Inlet enthalpy of the point at which the applied heat flux starts (J/kg)
- i l :
-
Enthalpy of liquid (J/kg)
- i lat :
-
Latent heat of phase change (J/kg)
- i lv :
-
Enthalpy of vaporization (J/kg)
- j :
-
Colburn j-factor (–), \(j = St\,Pr^{2/3}\)
- j m :
-
Mass transfer Colburn j-factor (–), \(j_{\text{m}} = St_{\text{m}} Sc^{2/3}\)
- k :
-
Thermal conductivity (W/m K)
- k f :
-
Fluid thermal conductivity (W/m K)
- k p :
-
Constant related to the heat flux (1/s)
- k w :
-
Tube thermal conductivity (W/m k)
- Le :
-
Lewis number (–), \(Le = Sc/Pr\)
- L tr :
-
Length, from the inlet position to the flow pattern transition position (m)
- L w :
-
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)
- R e :
-
Thermal resistance of external convection (K/W)
- Re :
-
Reynolds number (–), \(Re = G \cdot D /\mu\)
- R i :
-
Thermal resistance of internal convection (K/W)
- R T :
-
Total thermal resistance (K/W)
- R W :
-
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 (–), \(St = \frac{Nu}{Re\,Pr}\)
- St m :
-
Mass transfer Stanton number (–), \(St_{\text{m}} = \frac{Sh}{Re\,Sc}\)
- T :
-
Temperature (K)
- t :
-
Time (s)
- T i,in :
-
Inlet temperature (K)
- T i,out :
-
Outlet temperature (K)
- T s :
-
Wall surface temperature (K)
- T ∞ :
-
Temperature under free-flow conditions (K)
- V:
-
Electric potential difference (V)
- v :
-
Fluid velocity (m/s)
- x tr :
-
Vapor quality of flow pattern transition (–)
- β :
-
Seebeck coefficient (V/K)
- δ :
-
Thermal boundary layer thickness, liquid film thickness (m)
- Δe :
-
Seebeck voltage (V)
- ΔT :
-
Temperature difference (K)
- ΔT LM :
-
Logarithmic mean temperature difference of the fluids (K)
- ρ v :
-
Vapor density (kg/m3)
- Τ :
-
Time constant (s)
- τ s :
-
Shear stress on the wall (N/m2)
- ∇T :
-
Temperature gradient (K/m)
References
Newton I (1701) Scala graduum caloris. Philos Trans R Soc Lond 22:824–829
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 53–64
Cheng KC, Fujii T (1998) Heat in history Isaac Newton and heat transfer. Heat Transf Eng 19(4):9–21
Besson U (2012) The history of the cooling law: when the search for simplicity can be an obstacle. Sci Educ 21(8):1085–1110
Davidzon MI (2012) Newton’s law of cooling and its interpretation. Int J Heat Mass Transf 55:5397–5402
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 55:1807–1814
Roudgar M, De Coninck J (2015) Condensation heat transfer coefficient versus wettability. Appl Surf Sci 338:15–21
Bejan A (1994) Heat transfer. Wiley, London
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 126:774–795
Doebelin E (2003) Measurement systems: application and design, 5th edn. McGraw-Hill, New York
Webster JG (ed) (1999) Measurement, instrumentation and sensors. CRC Press LLC, Boca Raton
Gimzewski JK, Gerber C, Meyer E, Sclittler R (1994) Observation of a chemical reaction using a micromechanical sensor. Chem Phys Lett 217:589–594
Childs PRN (2001) Practical temperature measurement, 1st edn. Elsevier, Amsterdam
Yaralioglu G (2011) Ultrasonic heating and temperature measurement in microfluidic channels. Sens Actuators A 170:1–7
Afaneh A, Alzebda S, Ivchenko V, Kalashnikov AN (2011) Ultrasonic measurements of temperature in aqueous solutions: why and how. Phys Res Int 2011:156396
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 technology
Zhou C, Wang Y, Qiao C, Zhao S, Huang Z (2016) High-accuracy ultrasonic temperature measurement based on MLS-modulated continuous wave. Measurement 88:1–8
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 112:38–44
Park RM (ed) (1993) Manual on the use of thermocouples in temperature measurement, MNL 12, 4th edn. American Society for Testing Materials, Philadelphia
Measurement Computing (2012) Data acquisition handbook. A reference for DAQ and analog & digital signal conditioning, 3th edn. Measurement Computing Corporation, Norton, USA
Klopfenstein LR Jr (1994) Software linearization techniques for thermocouples, thermistors and RTDs. ISA Trans 33:293–305
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
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 184:22–27
Ge Y, Liu Q, Chang J, Zhang J (2013) Optical sensor temperature measurement based on silicon thermo-optics effect. Optik 124:6946–6949
Fan CH, Longtin JP (2000) Laser-based measurement of temperature or concentration change at liquid surfaces. J Heat Transf 122:757–762
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 46:879–888
Shedd T, Anderson BW (2005) An automated non-contact wall temperature measurement using thermoreflectance. Meas Sci Technol 16:2483–2488
Watwe AA, Hollingsworth DK (1994) Liquid crystal images of surface temperature during incipient pool boiling. Exp Therm Fluid Sci 9:22–33
Hozejowska S, Piasecka M, Poniewski ME (2009) Boiling heat transfer in vertical minichannels. Liquid crystal experiments and numerical investigations. Int J Therm Sci 48:1049–1059
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 35:1522–1529
Megahed A (2012) Local flow boiling heat transfer characteristics in silicon microchannel heat sinks using liquid crystal thermography. Int J Multiph Flow 39:55–65
Mah ML, Manfred ME, Kim SS, Prokic M, Yukihara EG, Talghader JJ (2010) Measurement of rapid temperature profiles using thermoluminescent microparticles. IEEE Sens J 10:311–315
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 42:526–531
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 165:145–152
Talghader JJ, Mah ML, Yukihara EG, Coleman AC (2016) Thermoluminescent microparticle thermal history sensors. Microsyst Nanoeng 2:16037
Reuss DL (1983) Temperature measurements in a radially symmetric flame using holographic interferometry. Combust Flame 49:207–219
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 115:121–128
Ashrafi ZN, Ashjaee M, Askari MH (2015) Two-dimensional temperature field measurement of a premixed methane/air flame using Mach–Zehnder interferometry. Opt Commun 241:55–63
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 73:375–382
Švantner M, Vacíková P, Honner M (2012) IR thermography heat flux measurement in fire safety applications. Infrared Phys Technol 55:292–298
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, Brazil
Tibiriçá CB, Ribatski G (2010) Flow boiling heat transfer of R134a and R245fa in a 2.3 mm tube. Int J Heat Mass Transf 53:2459–2468
Goss G Jr, Passos JC (2013) Heat transfer during the condensation of R134a inside eight parallel microchannels. Int J Heat Mass Transf 59:9–19
Diller TE (1998) Heat flux. In: Webster JG (ed) The measurement, instrumentation and sensor handbook. CRC, Boca Raton
Singh SK, Yadav MK, Khandekar S (2017) Measurement issues associated with surface mounting of thermopile heat flux sensors. Appl Therm Eng 114:1105–1113
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 division
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 80:375–381
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 132:031601-1
Silvani X, Morandini F (2009) Fire spread experiments in the field: temperature and heat fluxes measurements. Fire Saf J 44:279–285
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 203:62–68
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 46:1–6
Vega T, Wasson RA, Lattimer BY, Diller TE (2015) Partitioning radiative and convective heat flux. Int J Heat Mass Transf 84:827–838
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-16
Han S, Goldstein RJ (2008) The heat/mass transfer analogy for a simulated turbine endwall. Int J Heat Mass Transf 51:3227–3244
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 48:2970–2985
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 52:2311–2323
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 299–303
Vega T, Lattimer B, Diller TE (2013) Fire thermal boundary condition measurement using a hybrid heat flux. Fire Saf J 61:127–137
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, Brazil
PASCO Scientific (1987) Thermal conductivity apparatus. Instruction Manual and Experiment Guide for the PASCO scientific Model TD-8561
Hubble DO, Diller TE (2009) A hybrid method for measuring heat flux. ASME J Heat Transf. https://doi.org/10.1115/1.4000051
Naylor D (2003) Recent developments in the measurement of convective heat transfer rates by laser interferometry. Int J Heat Fluid Flow 24:345–355
Naylor D, Roeleveld D (2009) Measurement error in laser interferometry caused by free convective boundary layers on optical windows. Opt Lasers Eng 47(11):1103–1107
Tanda G, Fossa M, Misale M (2014) Heat transfer measurements in water using a schlieren technique. Int J Heat Mass Transf 71:451–458
Settles GS (1985) Colour-coding schlieren techniques for the optical study of heat and fluid flow. Int J Heat Fluid Flow 6(1):0142–0727
Dong ZF, Ebadian MA (1992) A modified formula for calculating the heat transfer coefficient by the shadowgraph technique. Therm Mass Transf 35(7):1833–1836
Tibiriçá CB, Ribatski G (2014) Flow patterns and bubble departure fundamental characteristics during flow boiling in microscale channels. Exp Therm Fluid Sci 59:152–165
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 50:1953–1962
Colaço MJ, Orlande HRB, Dulikravich GS (2006) Inverse and optimization problems in heat transfer. J Braz Soc Mech Sci Eng 28(1):1–24
Naylor D, Duarte N (1999) Direct temperature gradient measurement using interferometry. Exp Heat Transf 12(4):279–294
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 86:754–765
Yang W, Zhu X, Liu J (2017) Annual experimental research on convective heat transfer coefficient of exterior surface of building external wall. Energy Build 155:207–214
Höser D, von Rohr PR (2018) Experimental heat transfer study of confined flame jet impinging on a flat surface. Exp Therm Fluid Sci 91:166–174
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 21:657–668
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):167–173
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 93:754–759
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):447–459
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 115:317–335
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 43:1182–1198
Ribatski G, Saiz-Jabardo JM (2003) Experimental study of nucleate boiling of halocarbon refrigerants on cylindrical surfaces. Int J Heat Mass Transf 46:4439–4451
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 53:4185–4192
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 23:93–104
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 52:3634–3644
Díaz MC, Schmidt J (2007) Experimental investigation of transient boiling heat transfer in microchannels. Int J Heat Fluid Flow 28:95–102
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 134:020906-8
Kanizawa FT, Tibiriçá CB, Ribatski G (2016) Heat transfer during convective boiling inside microchannels. Int J Heat Mass Transf 93:566–583
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 67:913–929
Del Col D, Bortolin S, Rossetto L (2013) Convective boiling inside a single circular microchannel. Int J Heat Mass Transf 67:1231–1245
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 34:1133–1141
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 30:311–325
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 107:307–318
Schumann TEW (1929) Heat transfer: a liquid flowing through a porous prism. J Frankl Inst 208:405–416
Furnas CC (1930) Heat transfer from a gas stream to a bed of broken solids. Ind Eng Chem 22:721–731
Pucci PF, Howard CP, Piersall CH Jr (1967) The single-blow transient testing technique for compact heat exchangers. J Eng Gas Turbine Power 89:29–40
Heggs PJ, Burns D (1988) Single-blow experimental prediction of heat transfer coefficients. Exp Therm Fluid Sci 1:243–251
Roetzel W, Luo X, Xuan Y (1993) Measurement of heat transfer coefficient and axial dispersion coefficient using temperature oscillations. Exp Therm Fluid Sci 7:345–353
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 37:325–331
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 38:1317–1325
Becker BR, Fricke BA (2004) Heat transfer coefficients for forced-air cooling and freezing of selected foods. Int J Refrig 27:540–551
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 50:1953–1962
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 26:199–210
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 53:3764–3781
Ryfa A, Białecki R (2011) Heat transfer coefficient retrieval in the impingement jet heat transfer. In: Proceedings of the computer methods in mechanics, Warsaw, Poland
Hasan HS, Peet MJ, Jalil JM, Bhadeshia HKDH (2011) Heat transfer coefficients during quenching of steels. Heat Mass Transf 47:315–321
Hasan HS (2009) Evaluation of heat transfer coefficient during quenching of steels. Doctoral Thesis Department of Electromechanical Engineering/University of Technology, Baghdad
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 74:183–189
Buczek A, Telejko T (2013) Investigation of heat transfer coefficient during quenching in various cooling agents. Int J Heat Fluid Flow 44:358–364
Conti R, Gallitto AA, Fiordilino E (2014) Measurement of the convective heat-transfer coefficient. Phys Teach 52:109
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 45:73–82
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 98:268–276
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 111:1588–1595
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 35:738–743
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 209:4627–4632
Wilson EE (1915) A basis of rational design of heat transfer apparatus. ASME J Heat Transf 37:47–70
Rose JW (2004) Heat-transfer coefficients, Wilson plots and accuracy of thermal measurements. Exp Therm Fluid Sci 28:77–86
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 27:2745–2757
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 31:669–680
Jin S, Hrnjak P (2017) Effect of end plates on heat transfer of plate heat exchanger. Int J Heat Mass Transf 108:740–748
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 116:445–455
Kwon B, Maniscalco NI, Jacobi AM, King WP (2018) High power density air-cooled microchannel heat exchanger. Int J Heat Mass Transf 118:1276–1283
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 133:298–307
Muszynski T, Andrzejczyk R (2016) Applicability of arrays of microjet heat transfer correlations to design compact heat exchangers. Appl Therm Eng 100:105–113
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 129:502–511
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 31:483–493
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 130:1147–1155
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 67:259–270
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 55:3021–3028
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 121:726–735
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 90:231–245
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 90:878–893
Colburn AP (1964) A method of correlating forced convection heat transfer data and a comparison with fluid friction. Int J Heat Mass Transf 7:1359–1384
Lewis JS (1971) Heat transfer predictions from mass transfer measurements around a single cylinder in cross flow. Int J Heat Mass Transf 14:325–329
Gnielinski V (1976) New equations for heat and mass transfer in turbulent pipe and channel flow. Int Chem Eng 16:359–367
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 35:5342
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 17:210–216
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 52:1431–1442
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 60:111–118
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 113:84–95
Mittal R, Madanan U, Goldstein RJ (2017) The heat/mass transfer analogy for a backward facing step. Int J Heat Mass Transf 113:411–422
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 116:784–791
Goldstein RJ, Cho HH (1995) A review of mass transfer measurements using naphthalene sublimation. Exp Therm Fluid Sci 10:416–434
Petukhov BS, Kurganov VA, Gladuntsov AI (1973) Heat transfer in turbulent pipe flow of gases with variable properties. Heat Transf Sov Res 5:109–116
Lienhard JH IV, Lienhardt JH V (2001) A heat transfer textbook, 3rd edn. Phlogiston Press Cambridge, Massachusetts
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 109:835–843
Nusselt W (1916) Die Oberflächenkondensation des Wasserdampfes. Z Ver Dtsch Ing 60(27):541–546
Chen SL, Ke MT (1993) Forced convective film condensation inside vertical tubes. Int J Multiph Flow 19:1045–1060
Jayanti S, Hewitt GF (1997) Hydrodynamics and heat transfer of wavy thin film flow. Int J Heat Mass Transf 40:179–190
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 241:2544–2548
Kim S, Lee YG, Jerng DW (2015) Laminar film condensation of saturated vapor on an isothermal vertical cylinder. Int J Heat Mass Transf 83:545–551
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 46:2773–2784
Magnini M, Thome JR (2017) An updated three-zone heat transfer model for slug flow boiling in microchannels. Int J Multiph Flow 91:296–314
Tibiriçá CB, Nascimento FJ, Ribatski G (2010) Film thickness measurement techniques applied to micro-scale two-phase flow systems. Exp Therm Fluid Sci 34:463–473
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 60:1219–1236
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 207:224–231
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 96:331–344
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).
Author information
Authors and Affiliations
Corresponding author
Additional information
Technical Editor: Francis HR Franca, Ph.D.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Moreira, T.A., Colmanetti, A.R.A. & Tibiriçá, C.B. Heat transfer coefficient: a review of measurement techniques. J Braz. Soc. Mech. Sci. Eng. 41, 264 (2019). https://doi.org/10.1007/s40430-019-1763-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s40430-019-1763-2