THERMAL SCIENCE

International Scientific Journal

retracted

Fazal Haq

,

Kamal Shah

,

Thabet Abdeljawad

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. This article has been retracted. Link to the retraction 10.2298/TSCI230905190E
KEYWORDS
Periodic heat transfer, extended surfaces, surface temperature, Conduction and convection
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
REFERENCES
  1. Kaye, G. W. C., A Dictionary of Applied Physics, Vol. 1, 1922, pp. 439-442
  2. Greenidge, K. N., Ascent of sap. Annual Review of Plant Physiology, 8 (1957), June, pp. 237-56
  3. Cheng, K. C., Fujii, T., Heat in History Isaac Newton and Heat Transfer, Heat transfer engineering, 19 (1998), 4, pp. 9-21
  4. Kumar, M. A., Review on Convection Heat Transfer in Extended Surfaces-Fin., Int. J. of Eng. and Tech., 4 (2018), 2, pp. 2-26
  5. Aziz, A., Allan, D. K., Transient Heat Transfer in Extended Surfaces, Appl. Mech. Reviews, 48 (1995), 7, pp. 317-350
  6. Harper, D. R., Brown, W. B., Mathematical Equations for Heat Conduction in the Fins of Air-Cooled Engines, National Advisory Committee on Aeronautics, Washington DC, USA, 1923
  7. Batchelor, G. K., Heat Transfer by Free Convection Across a Closed Cavity between Vertical Boundaries at Different Temperature, Quarterly of Applied Mathematics, 12 (1954), 33, pp. 209-233
  8. Cattaneo, Sur une Forme de l’Equation de la chaleur elinant la paradoxe d’une propagation instantance (in French), Compt Rendu, 247 (1958), pp. 431-433
  9. Allan, D. K., Sixty-Five Years of Extended Surface Technology (1922–1987), Appl. Mech. Reviews, 41 (1988), 9, pp. 321-364
  10. Yang, Y. W., Periodic Heat Transfer in Straight Fins, Journal of Heat Transfer, 94 (1972), 3, pp. 310-314
  11. Eslinger, R. G., Chung, B. T. F., Periodic Heat Transfer in Radiating and Convicting Fins or Fin Arrays, AiAA Journal, 3 (1979), 3, pp. 1134-1140
  12. Aziz, A., Na, T. Y., Steady Periodic Heat Transfers in Fins of Arbitrary Profile, Numerical Heat Transfer, 3 (1980), 3, pp. 331-344
  13. Vick, B., Ozisik, M. N., Growth and Decay of a Thermal Pulse Predicted by the Hyperbolic Heat Conduction Equation, Journal of Heat Transfer, 105 (1983), 4, pp. 902-907
  14. Yuen, W. W., Lee, S. C., Non-Fourier Heat Conduction in a Semi-Infinite Solid Subjected to Oscillatory Surface Thermal Disturbances, Journal of Heat Transfer, 111 (1989), 1, pp. 178-181
  15. Sanea, S. A., Mujahid, A. A., A Numerical Study of the Thermal Performance of Fins with Time-Dependent Boundary Conditions Including Initial Transient Effects, Warme-Und Stoffubertragung, 28 (1993), 7, pp. 417-424
  16. Lin, J. Y., The non-Fourier Effect on the Fin Performance under Periodic Thermal Conditions, Applied Mathematical Modelling, 22 (1998), 8, pp. 629-640
  17. Li, J. C., et al., An Analysis of Inverse Heat Conduction Problem on Irregular Shape Fins, Proceedings, Int. Multi Conference of Engineers and Computer Scientists, Hong Kong, China, 2010, Vol. III
  18. 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), 11, pp. 2919-2926
  19. Azimi, A., et al., Inverse Hyperbolic Heat Conduction in Fins with Arbitrary Profiles, Numer Heat Transf. Part A, 61 (2012), 3, pp. 220-240
  20. Huang, C. H., Lee, C. T., Inverse Method in Estimating the Base Heat Flux for Irregular Fins, Journal of Thermophysics and Heat Transfer, 28 (2014), 22, pp. 320-326
  21. 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), 1, pp. 733-748
  22. Mosayebidorcheh, S., et al., Optimization Analysis of Convective Radiative Longitudinal Fins with Temperature-Dependent Properties and Different Section Shapes and Materials, Energy Conservation Manag, 106 (2015), Dec., pp. 1286-1294
  23. Ma, J., et al., Simulation of Combined Conductive, Convective and Radiative Heat Transfer in Moving Irregular Porous Fins by Spectral Element Method, Int. J. Thermal Science, 118 (2017), Aug., pp. 475-487
  24. 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, Int. J. Heat Mass Transf., 114 (2017), Nov., pp. 469-482
  25. Tang, W., et al., Natural-Convection Heat Transfer in Nainofluid-Filled Cavity with Double Sinusoidal Wavy Walls of Various Phase Deviations, Int. J. Heat Mass Transfer, 115 (2017), Dec., pp. 430-440
  26. Ghai, M. L., Heat Transfer in Straight Fins, Proceedings, General Discussion of Heat Transfer, Institute of Mechanical Engineers, London, UK, 1951, Vol. 180
  27. Melese, G. B., Efficacite d’une ailette longitudinale avec variation du coefficient d’echange de chaleur le long de l’ailette (in French), Jornal Nucl. Energy, 5 (1957), 3-4, pp. 285-300
  28. Han, L. S., Lefkowitz, S. G., Constant Cross-Section Fin Efficiencies for Non-Uniform Surface Heat Transfer Coefficients, ASME Paper, 60 (1960), A17796
  29. Chen, S. Y., Zyskowski, G. L., Steady-State Heat Conduction in a Straight Fin with Variable Heat Transfer Coefficient, Proceedings, 6th ASME-AICh Heat Tran., Conf., Boston, Mass., USA, 1963
  30. Ueda, T., Harada, I., Experiment of Heat Transfer on the Surfaces with Transverse Fins for Flow Direction, Bull. JSME, 7 (1964), 28, 759
  31. Myers, G. E., Analytical Methods in Heat Conduction, McGraw-Hill, New York, USA, 1971
  32. Campo, A., Unsteady Heat Transfer from a Circular Fin with Non-Linear Dissipation, Waerme Stoffuebertrag, 10 (1977), 3, pp. 201-210
  33. Al Mujahid, M., A Closed form Solution for Periodic Heat Transfer in Annular Fins, Eine geschlossene Lösung für periodische Wärmeübertragung an ringförmigen Rippen, Wärme-und Stoffübertragung, 24 (1989), 3, pp. 145-150
  34. Houghton, J. M., et al., The 1-D Analysis of Oscillatory Heat Transfers in a Fin Assembly, ASME J. Heat Transfer, 114 (1992), 3, pp. 548-552
  35. Chu, H. S., et al., Applications of Fourier Series Technique to Transient Heat Transfer Problem, Chemical Engineering Communications, 16 (1982), 1-6, pp.215-225
  36. Chu, S., Wong, S., Linear Pulse Propagation in an Absorbing Medium, Physical Review Letters, 48 (1982), 11, 738
  37. Ju, J. W., On Energy-Based Coupled Elastoplastic Damage Theories: Constitutive Modeling and Computational Aspects, International Journal of Solids and Structures, 25 (1989), 7, pp. 803-833
  38. Wang, M., et al., General Heat Conduction Equation Based on Thermomass Theory, Frontiers in Heat and Mass Transfer, 1 (2010), 013004
  39. Wang, M., Guo, Z., Understanding of Size and Temperature Dependences of Effective Thermal Conductivity of Nanotubes, Physics Letter A, 374 (2010), 42, pp. 4312-4315
  40. 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
  41. Minkler, W. S., Rouleau, W. T., The Effects of Internal Heat Generation on Heat Transfer in Thin Fins, Nuclear Science and Engineering, 7 (1960), 5, pp. 400-406
  42. Nakamura, H., et al., Solutions of Two Dimensional Heat Conduction Problem in Annular Triangular Fins, Journal of Chemical Engineering of Japan, 14 (1981), 6, pp. 487-489
  43. Papadopoulos, K. D., et al., The Response of Straight and Circular Fins to Fluid Temperature Changes, Int. Communication Heat Mass Transfer, 17 (1990), 5, pp. 587-595
  44. Aziz, A., Nguyen, H., The 2-D Effects in a Triangular Convecting Fin, Journal Thermophys and Heat Transfer, 6 (1992), 1, 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. Incropera, F. P., Fundamentals of Heat and Mass Transfer, John Wiley and Sons, New York, USA, 2011
  47. Kumar, G., et al., Experimental Investigation of Natural-Convection from Heated Triangular Fin Array Within a Rectangular Array, Research India Publications, Rohini, Delhi, India, 2014, Vol. 2248-9967
  48. Teerakulpisut, S., Application of Modified Bessel Functions in Extended Surface, Heat Transfer, 22 (1995) pp. 61-74
  49. 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), 1, pp. 12-21
  50. Narve, N. G., et al., Natural-Convection Heat Transfers from Symmetrical Triangular Fin Arrays on Vertical Surface, Int. J. of Scientific and Engineering Research, 4 (2013), 5, pp. 271-281
  51. Sparrow, E. M., et al., Analysis Results and Intepretation Between Some Simply Arranged Gray Surfaces, Trans. ASME, 83 (1961), 2, pp. 207-214
  52. 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
  53. Yovanovich, M., Simplified Solutions to Circular Annular Fins with Contact Resistance and End Cooling, Journal of Thermophysics and Heat Transfer, 2 (1988), 2, pp. 152-157
  54. Campo, A., Acosta-Iborra, A., Approximate Analytic Temperature Distribution and Efficiency for Annular Fins of Uniform Thickness, International Journal of Thermal Sciences, 48 (2009), 4, pp. 773-780
  55. 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
  56. 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
  57. 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, 2467-7824
  58. 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
  59. Kang, H. S., Jr. Look, D. C., The 2-D Trapezoidal Fins Analysis, Computational Mechanics, 19 (1997), 3, pp. 247-250
  60. Gaba, V. K., et al., Parametric Study of Functionally Graded Rotating Annular Fin, Procedia Engineering, 127 (2015), 10, pp. 126-132
  61. Chapman, A. J., Transient Heat Conduction in Annular Fins of Uniform Thickness, In. Chem. Engng. Symp. Ser., 55 (1959), pp. 195-201
  62. 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, Comput. Struct., 61 (1996), 4, pp. 725-734
  63. Paradis, I., et al., Thermal Periodic Contact of Exhaust Valves, Journal of Thermophysics and Heat Transfer, 16 (2002), 3, pp. 356-365
  64. Sparrow, E. M., Vemuri, S. B. Orientation Effects on Natural-Convection/Radiation Heat Transfer from Pin-Fin Arrays, Int. J. of Heat and Mass Transfer, 29 (1986), 3, pp. 359-68
  65. Lieberman, J., Gebhart, B., Interactions in Natural-Convection from an Array of Heated Elements, Experimental, Int. J. of Heat and Mass Transfer, 12 (1969), 11, pp. 1385-1396
  66. Aihara, T., et al., Free Convective/Radiative Heat Transfer from Pin-Fin Arrays with a Vertical Base Plate (General Representation of Heat Transfer Performance), International Journal of Heat and Mass Transfer, 33 (1990), 6, pp. 1223-1232
  67. Bejan, A., et al., The Optimal Spacing between Horizontal Cylinders in a Fixed Volume Cooled by Natural-Convection, Int. J. of Heat and Mass Transfer, 38 (1995), 11, pp. 2047-2055
  68. Hatami, M., Nanoparticles Migration around the Heated Cylinder during the RSM Optimization of Wavy Wall Enclosure, Adv. Powder Technol., 28 (2017), 3, pp. 890-899
  69. Agrawal, D. D., Bhavsar, V. C., Experimental Investigation on Heat Transfer Characteristics of Air-Flow Across Finned Cylinders, Journal Inst. Eng. (India), 57 (1977), Jan., pp. 357-351
  70. Metzger, D. E., Haley, S. W., Heat Transfer Experiments and Flow Visualization for Arrays of Short Pin Fins, Proceedings, Int. Gas Turbine Conference and Exhibit., London, UK, 1982, pp. V004T09A007 V004T09A007
  71. 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
  72. Nusselt, W., The Condensation of Steam on Cooled Surfaces, Z. Ver. Dtsch. Ing., 60 (1916), pp. 541-546
  73. Al Essa, D., Adullah, H., Augmentation of Heat Transfer of a Fin by Rectangular Perforations with Aspect Ratio of Three, Int. J. of Mechanics and Applications, 2 (2012), 1, pp. 7-11
  74. Ramdas, B., et al., A Study on the Heat Transfer Enhancement for Air-Flow through a Duct with Various Rib Inserts, Int. J. of Latest Trends in Engineering and Technology, 2 (2013), 4, pp. 479-485
  75. Mostafavi, G., et al., Natural-Convection from Interrupted Vertical Walls, Journal of Heat Transfer, 136 (2014), 11, pp. 112-501
  76. Aziz, A., Luardini, V. J., Analytical and Numerical Modeling of Steady Periodic Heat Transfer in Extended Surfaces, Computational Mechanics, 14 (1994), 5, pp. 387-410
  77. Tolpadi, A. K., Kuehn, T. H., Conjugate Three-Dimensional Natural Convection Heat Transfer from a Horizontal Cylinder with Long Transverse Plate Fins, Numerical Heat Transfer, 7 (1984), 3, pp. 319-341
  78. 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. S11-S115
  79. Han, W. S., Rhi, S. H., Thermal Characteristics of Grooved Heat Pipe with Hybrid Nanofluids, Thermal Science, 15 (2011), 1, pp. 195-206
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Analysis of periodic heat transfer through extended surfaces

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