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Thermal performance of functionally graded parabolic annular fins having constant weight

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Abstract

The proposed work reports the performance of parabolic annular fins of constant weight made of functionally graded materials. The work involves computation of temperature gradient, efficiency and effectiveness of such fins and compares the performances for different functionally graded parabolic fin profiles obtained by varying grading parameters and profile parameters respectively keeping the weight of the fins constant. The functional grading of thermal conductivity is based on a power function of radial co-ordinate which consists of parameters, namely grading parameters, varying which different grading combinations are studied. A general second order ordinary differential equation has been derived for all the profiles and material grading. The efficiency and effectiveness of the annular fins of different profile and grading combinations have been calculated and plotted and the results reveal the dependence of fin performance on profile and grading parameter.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology Raipur, Raipur, 492010, India

    Vivek Kumar Gaba, Anil Kumar Tiwari & Shubhankar Bhowmick

Authors
  1. Vivek Kumar Gaba
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  2. Anil Kumar Tiwari
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  3. Shubhankar Bhowmick
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Corresponding author

Correspondence to Shubhankar Bhowmick.

Additional information

Recommended by Associate Editor Ji Hwan Jeong

Vivek Kumar Gaba, Assistant Professor, has research and academic experience of over ten years. His research area involves Heat Transfer, Alternative fuels and Energy. Apart from academic duties, he has successfully completed two research projects of Government of India. He has, to his name, research papers in International Journals and has also presented his work in International Conferences.

Anil Kumar Tiwari, Professor, Mechanical Engineering, obtained his Ph.D. (Engg.) in the area of Heat and Mass Transfer in Solar Distillation from CES, IIT Delhi, India. His present areas of interest include Refrigeration and Air-conditioning, Solar Thermal Applications, Heat and Mass Transfer, and Alternative Fuel in Internal Combustion Engines. He is credited with scientific publications in international journals and also has co-authored a book on Solar Distillation.

Shubhankar Bhowmick, Assistant Professor, obtained Ph.D. (Engg.) in the area of Computational Mechanics from Jadavpur University, Kolkata, in 2011. He is engaged in teaching and research activities since the last 15 years. He was awarded with CSIR (SRF) Fellowship in the year 2007. His research area includes Investigation of static and dynamic behavior of axis-symmetric structures in elastic and post-elastic regime. His present areas of interest also include fluid-structure interaction and coupled field analysis. He is also actively engaged in FEA based industrial consultancy projects.

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Gaba, V.K., Tiwari, A.K. & Bhowmick, S. Thermal performance of functionally graded parabolic annular fins having constant weight. J MECH SCI TECHNOL 28, 4309–4318 (2014). https://doi.org/10.1007/s12206-014-0945-1

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  • DOI: https://doi.org/10.1007/s12206-014-0945-1

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