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Visualization of Convective Heat Transfer

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Abstract

This chapter introduces optical techniques for the measurement of temperature and species concentration in heat and mass transfer processes occurring in fluids. Measurement is initiated by a light source and changes in the attributes of light emerging from the test cell are recorded by a suitable detector. The fluid medium is taken to be transparent to the passage of light. The light intensity distribution and contrast generated during the measurement can arise either due to variations in the refractive index of the fluid or by scattering from preselected optically active particles. Among the refractive index methods, interferometry, schlieren (monochrome and color), and shadowgraph are discussed. Liquid crystal thermography is presented as an example of a scattering technique. Infrared measurements are also included for completeness. Specific advantages of optical methods are that they are nonintrusive, image a flow cross section, and are inertia-free. A continuous sequence of optical images can be recorded in a computer using CCD cameras, thus extending measurements to the time domain. Optical images can be analyzed and methods of extracting quantitative data from such images are discussed. Several applications and representative images recorded on a laboratory scale are also presented.

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Abbreviations

a 0 -a 1 -a 2 -a 3 :

Constants appearing in the Lorentz-Lorenz formula

a k :

Diameter of the focal spot (m)

A-B-C:

Constants appearing in the Cauchy formula

C :

Species concentration in a solution (kg/m3)

d :

Diameter of the cylinder (m)

D :

Distance of the exit plane of the apparatus from the screen (m)

f :

Focal length of the decollimating lens/mirror (m)

h :

Local heat transfer coefficient (W/m2-K)

H :

Hue distribution in a color image (units of angle)

I :

Light intensity distribution on the screen, grayscale value

k :

Thermal conductivity (W/mK)

L :

Length of the apparatus in the direction of propagation of light, m

n :

Refractive index of the medium; na (or n0) for the ambient; \( \overline{n} \)for the average in the viewing direction, nλ for the wavelength dependent refractive index

Nu :

Nusselt number

Pe :

Peclet number

Pr:

Prandtl number

Q :

Flow rate, lit/min

R-G-B:

Color scales of red, green, and blue in an image

Re :

Reynolds number based on the cylinder diameter and upstream conditions; Rex for the local Reynolds number

Ri :

Richardson number based on cylinder diameter, upstream velocity, and overall temperature difference

t :

Time (s)

T :

Temperature; Tw for the wall temperature (K)

V:

Voltage; Vexc for excitation voltage (V)

x-y-z:

Cartesian coordinates with z along the viewing direction and x-y, the cross-sectional plane

α :

Thermal diffusivity, m2/s

δ :

Angular deflection of the light beam, radians

Δ :

Laplacian operator

ΔCε,:

Change in concentration per fringe shift, kg/m3

ΔTε,:

Change in temperature per fringe shift, K

λ :

Wavelength of light, nm

ρ :

Material density, kg/m3

θ :

Deflection angle (θy in the y-direction), radians

References

  • Al-Ammar K, Agrawal AK, Gollahalli SR, Griffin D (1998) Application of rainbow schlieren deflectometry for concentration measurements in an axisymmetric helium jet. Exp Fluids 25:89

    Article  Google Scholar 

  • Anderson RC, Milton JE (1989) A large aperture inexpensive interferometer for routine flow measurements, in: Instrumentation in aerospace simulation facilities, ICIASF’89 record, International congress on, IEEE, pp 394–399

    Google Scholar 

  • Asfer M, Mehta B, Arun K, Khandekar S, Panigrahi PK (2016) Effect of magnetic field on laminar convective heat transfer characteristics of ferrofluid flowing through a circular stainless steel tube. Int J Heat Fluid Flow 59:74–86

    Article  Google Scholar 

  • Atcheson B, Heidrich W, Ihrke I (2009) An evaluation of optical flow algorithms for background oriented schlieren imaging. Exp Fluids 46:467

    Article  Google Scholar 

  • Bansal GD, Khandekar S, Muralidhar K (2009) Measurement of heat transfer during dropwise condensation of water on polyethylene. Nanoscale Microscale Thermophys Eng 13(3):184–201

    Article  Google Scholar 

  • Gayhart EL, Prescott R (1949) Interference phenomenon in schlieren system. J Opt Soc Am 39:546–550

    Article  Google Scholar 

  • Goldstein RJ (ed) (1996) Fluid mechanics measurements, 2nd edn. Taylor and Francis, New York

    Google Scholar 

  • Gupta AS, Gupta R, Panigrahi PK, Muralidhar K (2013) Imaging transport phenomena during lysozyme protein crystal growth by the hanging drop technique. J Cryst Growth 372:19–33

    Article  Google Scholar 

  • Herman GT (1986) Image reconstruction from projections. Academic, New York

    Google Scholar 

  • Holman JP (1997) Heat transfer. McGraw Hill, New York

    Google Scholar 

  • Ireland PT, Jones TV (1987) Response time of a surface thermometer employing encapsulated thermochromic liquid crystals. J Physics E 20:1195–1199

    Article  Google Scholar 

  • Kakade A, Singh SK, Panigrahi PK, Muralidhar K (2010) Schlieren investigation of the square cylinder wake: joint influence of buoyancy and orientation. Phys Fluids 22(054107):118

    MATH  Google Scholar 

  • Kobayashi T, Saga T, Doeg-Hee D (1998) Time response characteristics of microencapsulated liquid-crystal particles. Heat Tran Jpn Res 27:390–398

    Article  Google Scholar 

  • Kumar R, Kaura SK, Sharma AK, Chhachhia DP, Agarwal AK (2007) Knife-edge diffraction pattern as an interference phenomenon: an experimental reality. Opt Laser Technol 39:256–261

    Article  Google Scholar 

  • Lauterborn W, Vogel A (1984) Modern optical techniques in fluid mechanics. Annu Rev Fluid Mech 16:223

    Article  Google Scholar 

  • Lehner M, Mewes D (1999) Applied optical measurements. Springer, Berlin

    Book  Google Scholar 

  • Lewis RW, Teets RE, Sell JA, Seder TA (1987) Temperature measurements in a laser-heated gas by quantitative shadowgraphy. Appl Opt 26(17):3695

    Article  Google Scholar 

  • Luo SC, Chew YT, Ng YT (2003) Characteristics of square cylinder wake transition flow. Phys Fluids 15(9):2549–2559

    Article  Google Scholar 

  • Mayinger F (ed) (1994) Optical measurements: techniques and applications. Springer, Berlin

    Google Scholar 

  • Merzkirch WF (1987) Flow visualization, second edn. Academic, New York

    MATH  Google Scholar 

  • Min J, Yao B, Gao P, Guo R, Zheng J, Ye T (2010) Parallel phase-shifting interferometry based on Michelson-like architecture. Appl Opt 49:6612

    Article  Google Scholar 

  • Mishra D (1998) Experimental study of Rayleigh-Benard convection using interferometric tomography. Doctoral dissertation, Indian Institute of Technology Kanpur, India

    Google Scholar 

  • Moffat RJ (1990) Some experimental methods for heat transfer studies. Exp Thermal Fluid Sci 3:14–32

    Article  Google Scholar 

  • Muralidhar K (2001) Temperature field measurement in buoyancy-driven flows using interferometric tomography. Ann Rev Heat Tran 12:265

    Article  Google Scholar 

  • Muralidhar K (2014) Imaging unsteady three dimensional transport phenomena. Pramana J Phys 82(1):3

    Article  Google Scholar 

  • Natterer F (1986) The mathematics of computerized tomography. Wiley, New York

    MATH  Google Scholar 

  • Orlove GL (1982) Practical thermal measurement techniques. Proc SPIE 371:72–81

    Article  Google Scholar 

  • Panigrahi PK, Muralidhar K: (i) Schlieren and shadowgraph methods in heat and mass transfer (Springer briefs in thermal engineering and applied science, New York, Aug, 2012); (ii) Imaging heat and mass transfer processes – visualization and analysis (Springer briefs in thermal engineering and applied science, New York, Oct, 2012)

    Google Scholar 

  • Punjabi S (2002) Interferometric study of convection in superposed gas-liquid layers. Doctoral dissertation, Indian Institute of Technology Kanpur, India

    Google Scholar 

  • Qayoum A, Gupta V, Panigrahi PK, Muralidhar K (2010a) Influence of amplitude modulation on piezoelectric synthetic jet actuator. Sens Actuators: A Phys 162:36–50

    Article  Google Scholar 

  • Qayoum A, Gupta V, Panigrahi PK, Muralidhar K (2010b) Perturbation of a laminar boundary layer by a synthetic jet for heat transfer enhancement. Int J Heat Mass Transf 53:5035–5057

    Article  Google Scholar 

  • Rasenat S, Hartung G, Winkler BL, Rehberg I (1989) The shadowgraph method in convection experiments. Exp Fluids 7:412

    Article  Google Scholar 

  • Schiebener P, Straub J, Sengers JMHL, Gallagher JS (1990) Refractive index of water and steam as function of wavelength, temperature, and density. J Phys Chem Ref Data 19(3):677–717

    Article  Google Scholar 

  • Schmidt G, Nakatani AI, Tan CC (2002) Rheology and flow-birefringence from viscoelastic polymer-clay solutions. Rheol Acta 41:45

    Article  Google Scholar 

  • Schopf W, Patterson JC, Brooker AMH (1996) Evaluation of the shadowgraph method for the convective flow in a side-heated cavity. Exp Fluids 21:331

    Article  Google Scholar 

  • Settles GS (2001) Schlieren and shadowgraph techniques. Springer, Berlin

    Book  Google Scholar 

  • Singh SK, Panigrahi PK, Muralidhar K (2007) Effect of buoyancy on the wakes of circular and square cylinders: a Schlieren-interferometric study. Exp Fluids 43(1):101–123

    Article  Google Scholar 

  • Sirovich L (1987) Turbulence and the dynamics of coherent structures. Part 1: coherent structures. Q App Math 45(3):561

    Article  Google Scholar 

  • Smith CR, Sabatino DR, Praisner TJ (2001) Temperature sensing with thermochromic liquid crystals. Exp Fluids 30:190–201

    Article  Google Scholar 

  • Sohankar A, Norberg C, Davidson L (1999) Simulation of three-dimensional flow around a square cylinder at moderate Reynolds numbers. Phys Fluids 11(2):288–306

    Article  Google Scholar 

  • Srivastava A, Singh D, Muralidhar K (2009) Reconstruction of time-dependent concentration gradients around a KDP crystal growing from its aqueous solution. J Cryst Growth 311:1166

    Article  Google Scholar 

  • Srivastava A, Muralidhar K, Panigrahi PK (2012) Optical imaging and three dimensional reconstruction of the concentration field around a crystal growing from aqueous solution: a review. Prog Cryst Growth Charact Mater 58:209

    Article  Google Scholar 

  • Tariq AK, Singh K, Panigrahi PK (2003) Flow and heat transfer in a rectangular duct with single-rib and two-ribs mounted on the bottom surface. J Enhanc Heat Tran 10(2):171–198

    Article  Google Scholar 

  • Tariq A, Panigrahi PK, Muralidhar K (2004) Flow and heat transfer in the wake of a surface-mounted rib with a slit. Exp Fluids 37:701–719

    Article  Google Scholar 

  • Tropea C, Yarin AL, Foss JF (eds) (2007) Springer handbook of experimental fluid mechanics. Springer, Berlin

    Google Scholar 

  • Verma S, Schlicta PJ (2008) Imaging techniques for mapping solution parameters, growth rate, and surface features during the growth of crystals from solution. Prog Cryst Growth Charact Mater 54:1

    Article  Google Scholar 

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Correspondence to Pradipta K. Panigrahi .

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Panigrahi, P.K., Muralidhar, K. (2018). Visualization of Convective Heat Transfer. In: Handbook of Thermal Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-26695-4_15

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