THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

ANALYSIS OF PERIODIC HEAT TRANSFER THROUGH EXTENDED SURFACES

ABSTRACT
This article is concerned with the review of periodic heat transfer through extend­ed surfaces known as fins. In this review, we bring out the detailed study of heat transfer of different type variation through extended surfaces. Heat transfer has remained a warm responder to various conditions for the researchers in last many decades. In the current analysis, an attempt is appointed to study, analyze and sum­marize the result of the periodic heat transfer and flow in various fins. Further, we are carried out the analysis for the periodic heat transfers through various kinds of extended surfaces also called fins in the presence of periodic base and ambient temperature. The performance of the extended surface is expressed in terms of the fin effectiveness and its efficiency. The heat transfer process is regulated by three experimentally determined dimensionless parameters such as the frequency parameter, w, the convectional fins parameter, N, and the amplitude parameter, A. Further the fins performance and efficiency are demonstrated through several examples. On basis of comparision rectangular fins are good for heat transfer due to their extended surfaces.
KEYWORDS
PAPER SUBMITTED: 2022-05-02
PAPER REVISED: 2022-07-10
PAPER ACCEPTED: 2022-08-01
PUBLISHED ONLINE: 2022-12-17
DOI REFERENCE: https://doi.org/10.2298/TSCI220502184H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [2549 - 2564]
REFERENCES
  1. Kaye, G. W. C., A Dictionary of Applied Physics, Macmillan and Co., London, 1922, pp. 439-442
  2. Greenidge, K. N., Ascent of Sap., Annual Review of Plant Physiology, 8 (1957), pp. 237-256
  3. Cheng, K. C., Fujii, T., Heat in History Isaac Newton and Heat Transfer, Heat Transfer Engineering, 19 (1998), pp. 9-21
  4. Kumar, M. A., Review on Convection Heat Transfer in Extended Surfaces-Fin, International Journal of Engineering and Techniques, 4 (2018), 2, pp. 22-26
  5. Nusselt, W., Die Oberflachenkondensation des Wasserdamphes, VDI-Zs, 60 (1916), p. 541
  6. Aziz, A., Allan, D. K., Transient Heat Transfer in Extended Surfaces, Appl. Mech. Rev., 48 (1995), 7, pp. 317-350
  7. Harper, R. R., Brown, W. B., Mathematical Equations for Heat Conduction in the Fins of Air-Cooled Engines, Report No. 158, National Advisory Committee for Aeronautics, 1923
  8. Batchelor, G. K., Heat Transfer by Free Convection Across a Closed Cavity Between Vertical Boundaries at Different Temperatures, Quarterly of Applied Mathematics, 12 (1954), 3, pp. 209-233
  9. Aziz, A., Na, T. Y., Steady Periodic Heat Transfer in Fins of Arbitrary Profile, Numerical Heat Transfer, 3 (1980), 3, pp. 331-344
  10. Cattaneo, C., On a Form of the Heat Equation Eliminating the Paradox of Instantaneous Propagation, Count. Render, 247 (1958), pp. 431-433
  11. Kraus, A. D., Sixty-Five Years of Extended Surface Technology (1922–1987), Appl. Mech. Rev., 41 (1988), 9, pp. 321-364
  12. Yang, J. W., Periodic Heat Transfer in Straight Fins, Journal of Heat and Mass Transfer, 94 (1972), 3, pp. 310-314
  13. Eslinger, R. G., Chung, B. T., Periodic Heat Transfer in Radiating and Convecting Fins or Fin Arrays, AiAA Journal, 17 (1979), 10, pp. 1134-1140
  14. Vick, B., Ozisik, M. N., Growth and Decay of a Thermal Pulse Predicted by the Hyperbolic Heat Conduction Equation, Journal of Heat and Mass Transfer, 105 (1983), 4, pp. 902-907
  15. Yuen, W. W., Lee, S. C., Non-Fourier Heat Conduction in a Semi-Infinite Solid Subjected to Oscillatory Surface Thermal Disturbances, Journal of Heat and Transfer, 111 (1989), 1, pp. 178-181
  16. Al-Sanea, S. A., Mujahid, A. A., A Numerical Study of the Thermal Performance of Fins With Time-Dependent Boundary Conditions, Including Initial Transient Effects, Wärme-und Stoffübertragung, 28 (1993), July, pp. 417-424
  17. Lin, J. Y., The Non-Fourier Effect on the Fin Performance Under Periodic Thermal Conditions, Applied Mathematical Modelling, 22 (1998), 8, pp. 629-640
  18. Li, J. C., et al., An Analysis of Inverse Heat Conduction Problem on Irregular Shape Fins, Proceedings, World Congress on Engineering, London, UK, 2010, Vol. 2182, pp. 1858-1862
  19. Ahmadikia, H., Rismanian, M., Analytical Solution of Non-Fourier Heat Conduction Problem on a Fin Under Periodic Boundary Conditions, Journal of Mechanical Science and Technology, 25 (2011), Nov., pp. 2919-2926
  20. Azimi, A., et al., Inverse Hyperbolic Heat Conduction in Fins with Arbitrary Profiles, Numerical Heat Transfer, Part A: Applications, 61 (2012), 3, pp. 220-240
  21. Huang, C. H., Lee, C., Inverse Method in Estimating the Base Heat Flux for Irregular Fins, Journal of Thermophysics and Heat Transfer, 28 (2014), 2, pp. 320-326
  22. Kundu, B., Lee, K. S., Analytical Tools for Calculating the Maximum Heat Transfer of Annular Stepped Fins with Internal Heat Generation and Radiation Effects, Energy, 76 (2014), Nov., pp. 733-748
  23. Ghasemi, S. E., et al., Heat Transfer Study on Solid and Porous Convective Fins with Temperature-Dependent Heat Generation Using Efficient Analytical Method, Journal of Central South University, 21 (2014), Dec., pp. 4592-4598
  24. Mosayebidorcheh, S., et al., Optimization Analysis of Convective–Radiative Longitudinal Fins with Temperature-Dependent Properties and Different Section Shapes and Materials, Energy Conversion and Management, 106 (2015), Dec., pp. 1286-1294
  25. Ma, J., et al., Simulation of Combined Conductive, Convective and Radiative Heat Transfer in Moving Irregular Porous Fins by Spectral Element Method, Int, Journal of Thermal Sciences, 118 (2017), Aug., pp. 475-487
  26. Ma, J., et al., Spectral Collocation Method for Transient Thermal Analysis of Coupled Conductive, Convective and Radiative Heat Transfer in the Moving Plate with Temperature Dependent Properties and Heat Generation, International Journal of Heat and Mass Transfer, 114 (2017), Nov., pp. 469-482
  27. Tang, W., et al., Natural Convection Heat Transfer in a Nanofluid-Filled Cavity with Double Sinusoidal Wavy Walls of Various Phase Deviations, International Journal of Heat and Mass Transfer, 115 (2017), Part A, pp. 430-440
  28. Ghai, M. L., Heat Transfer in Straight Fins, Proc. General Discussion on Heat Transfer, 1951 (1951), pp. 180-182
  29. Melese, G., Efficacité dune ailette longitudinale avec variation du coefficient d'échange de chaleur le long de l'ailette, Journal of Nuclear Energy, 5 (1954), pp. 285-300
  30. Han, L. S., Lefkowitz, S. G., Constant Cross Section Fin Efficiencies for Non-Uniform Surface Heat Transfer Coefficients, ASME Paper, 60 (1960), pp. 10
  31. Chen, S. Y., Zyskowski, G. L., Steady State Heat Conduction in a Straight Fin with Variable Heat Transfer Coefficient, Proceedings, 6th National Heat Transfer Conference, New York, USA, American Society of Mechanical Engineers, Vol. 63, 1963, pp. 1
  32. Ueda, T., Harada, I., Experiment of Heat Transfer on the Surfaces with Transverse Fins for Flow Direction, Bulletin of JSME, 7 (1964), 28, pp. 759-768
  33. Myers, G. E., Analytical Methods in Conduction Heat Transfer, AMCHT Publication, McGraw-Hill, New York, USA, 1971
  34. Campo, A., Unsteady Heat Transfer from a Circular Fin with Nonlinear Dissipation, Wärme-und Stoffübertragung, 10 (1977), Sept., pp. 203-210
  35. Gaba, V. K., et al., Thermal Performance of Functionally Graded Parabolic Annular Fins Having Constant Weight, Journal of Mechanical Science and Technology, 28 (2014), Oct., pp. 4309-4318
  36. Houghton, J. M., et al., The One-Dimensional Analysis of Oscillatory Heat Transfer in a Fin Assembly, Journal of Heat and Mass Transfer, 114 (1992), 3, pp. 548-552
  37. Wu, S. S., et al., Analysis on Transient Heat Transfer in Annular Fins of Various Shapes with their Bases Subjected to a Heat Flux Varying as a Sinusoidal Time Function, Computers and Structures, 61 (1996), 4, pp. 725-734
  38. Murthy, J. Y., Patankar, S. V., Numerical Study of Heat Transfer from a Rotating Cylinder with External Longitudinal Fins, Numerical heat transfer, 6 (1983), 4, pp. 463-473
  39. Wang, M., et al., General Heat Conduction Equations based on the Thermomass Theory, Frontiers in Heat and Mass Transfer (FHMT), 1 (2010), 1, 013004
  40. Wang, M., Guo, Z. Y., Understanding of Temperature and Size Dependences of Effective Thermal Conductivity of Nanotubes, Physics Letters A, 374 (2010), 42, pp. 4312-4315
  41. Hamid, R. A., et al., Effects of Joule Heating and Viscous Dissipation on MHD Marangoni Convection Boundary Layer Flow, Journal of Science and Technology, 3 (2011), 1, pp. 1-10
  42. Kumar, G., et al., Experimental Investigation of Natural Convection from Heated Triangular Fin Array within a Rectangular Enclosure, International Review of Applied Engineering Research, 4 (2014), 3, pp. 203-210
  43. Khaled, A. R. A., Gari, A. A., Heat Transfer Enhancement via Combined Wall and Triangular Rooted-Fin System, Journal of Electronics Cooling and Thermal Control, 4 (2014), 01, pp. 12-21
  44. Aziz, A., Nguyen, H., Two-Dimensional Effects in a Triangular Convecting Fin, Journal of Thermophysics and Heat Transfer, 6 (1992), Jan.-Mar., pp. 165-167
  45. Nain, D., Fin Efficiency Analysis in Electronic Devices Considering Temperature, Heat Transfer, Coefficient, Fin Length, Think India Journal, 22 (2019), 4, pp. 5056-5064
  46. Bergman, T. L., et al., Fundamentals of Heat and Mass Transfer, John Wiley and Sons, New York, USA, 2011
  47. Teerakulpisut, D. S., Application of Modified Bessel Functions in Extended Surface, Heat Transfer, 22 (1995), pp. 61-74
  48. Narve, N. G., et al., Heat Transfer and Fluid Flow Characteristics of Vertical Symmetrical Triangular Fin Arrays, International Journal of Advanced Research in Engineering and Technology (IJARET), 2 (2013), pp. 271-281
  49. Sparrow, E. M., et al., Analysis, Results, and Interpretation for Radiation Between Some Simply-Arranged Gray Surfaces, Journal of Heat and Mass Transfer, 83 (1961), 2, pp. 207-214
  50. Mustafa, M. T., et al., Thermal Analysis of Orthotropic Annular Fins with Contact Resistance: A Closed-Form Analytical Solution, Applied thermal Engineering, 31 (2011), 5, pp. 937-945
  51. Yovanovich, M. M., et al., Simplified Solutions to Circular Annular Fins with Contact Resistance and end Cooling, Journal of Thermophysics and Heat Transfer, 2 (1988), 2, pp. 152-157
  52. Acosta-Iborra, A., Campo, A., Approximate Analytic Temperature Distribution and Efficiency for Annular Fins of Uniform Thickness, International Journal of Thermal Sciences, 48 (2009), 4, pp.773-780
  53. Aziz, A., Beers-Green, A. B., Performance and Optimum Design of Convective–Radiative Rectangular Fin with Convective Base Heating, Wall Conduction Resistance, and Contact Resistance Between the Wall and the Fin Base, Energy Conversion and Management, 50 (2009), 10, pp. 2622-2631
  54. Gaba, V. K., et al., A Parametric Study of Functionally Graded Rotating Annular Fin, Procedia Engineering, 127 (2015), Dec., pp. 126-132
  55. Aziz, A., Fang, T., Thermal Analysis of an Annular Fin with (a) Simultaneously Imposed Base Temperature and Base Heat Flux and (b) Fixed Base and Tip Temperatures, Energy Conversion and Management, 52 (2011), 7, pp. 2467-2478
  56. Mujahid, A. A. M., Abu-Abdou, K., Thermal Performance of Annular Fins of Arbitrary Profile Subjected to Periodic Base and Environment Temperatures, Journal of King Saud University-Engineering Sciences, 5 (1993), 1, pp. 105-121
  57. Kang, H. S., Look Jr, D. C., Two-Dimensional Trapezoidal Fins Analysis. Computational Mechanics, 19 (1997), Feb., pp. 247-250
  58. Chapman, A. J., Transient Heat Conduction in Annular Fins of Uniform Thickness, Chemical Engineering Symposium Series, 55 (1959), pp. 195-201
  59. Paradis, I., et al., Thermal Periodic Contact of Exhaust Valves, Journal of Thermophysics and Heat Transfer, 16 (2002), 3, pp. 356-365
  60. Sparrow, E. M., Vemuri, S. B., Orientation Effects on Natural Convection/Radiation Heat Transfer from Pin-Fin Arrays, International Journal of Heat and Mass Transfer, 29 (1986), 9-10, pp. 359-368
  61. Lieberman, J., Gebhart, B., Interactions in Natural Convection from an Array of Heated Elements, Experimental, International Journal of Heat and Mass Transfer, 12 (1969), 11, pp. 1385-1396
  62. Hatami, M., Nanoparticles Migration Around the Heated Cylinder During the RSM Optimization of a Wavy-Wall Enclosure, Advanced Powder Technology, 28 (2017), 3, pp. 890-899
  63. Bejan, A., et al., The Optimal Spacing Between Horizontal Cylinders in a Fixed Volume Cooled by Natural Convection, International Journal of Heat and Mass Transfer, 38 (1995), 11, pp. 2047-55
  64. Agrawal, D. D., Bhavsar, V. C., Experimental Investigation on Heat Transfer Characteristics of Air Flow Across Finned Cylinders, International Journal of Heat and Mass Transfer, 131 (1977), Mar., pp. 506-516
  65. Metzger, D. E., Haley, S. W. Heat Transfer Experiments and Flow Visualization for Arrays of Short Pin Fins, Proceedings, Turbo Expo: Power for Land, Sea, and Air. Vol. 79597. American Society of Mechanical Engineers, London, UK, 1982
  66. Al-Essa, A. H., Augmentation of Heat Transfer of a Fin by Rectangular Perforations with Aspect Ratio of Three, International Journal of Mechanics and Applications, 2 (2012), 1, pp. 7-11
  67. Ramdas, B., Dinesh, K. K., A Study on the Heat Transfer Enhancement for Air Flow through a Duct with Various Rib Inserts, International Journal of Latest Trends in Engineering and Technology, 2 (2013.), 4, pp. 479-485
  68. Ahmadi, M., et al., Natural Convection from Interrupted Vertical Walls, Journal of Heat Transfer, 136 (2014), 11, 112501
  69. Papadopoulos, K. D., et al., The Response of Straight and Circular Fins to Fluid Temperature Changes. International Communications in Heat and Mass Transfer, 17 (1990), 5, pp. 587-595
  70. Mujahid, A. M., A Closed form Solution for Periodic Heat Transfer in Annular Fins, Wärme-und Stoffübertragung, 24 (1989), May, pp. 145-150
  71. Ganji, D. D., et al., Determination of Temperature Distribution for Annular Fins with Temperature Dependent Thermal Conductivity by HPM, Thermal science, 15 (2011), Suppl. 1, pp. S111-S115
  72. Han, W. S., Rhi, S. H., Thermal Characteristics of Grooved Heat Pipe with Hybrid nanofluids, Thermal Science, 15 (2011), 1, pp. 195-206

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence