Homotopy perturbation method (HPM) is employed to investigate steady-state heat conduction with temperature dependent thermal conductivity and heat generation in a hollow sphere. Analytical models are developed for dimensionless temperature distribution and heat transfer using mixed boundary conditions (Dirichlet, Neumann and Robin). The effects of dimensionless heat generation parameter and temperature dependent thermal conductivity on temperature distribution and heat transfer from hollow spheres are analyzed graphically. It is demonstrated that the heat transfer is strongly dependent on the dimensionless heat generation parameter and temperature dependent thermal conductivity. Finally the HPM results are compared with Kirchhoff Transformation results.
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ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences
August 10–14, 2008
Jacksonville, Florida, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-4847-0
PROCEEDINGS PAPER
Effect of Variable Thermal Conductivity on Heat Transfer From a Hollow Sphere With Heat Generation Using Homotopy Perturbation Method Available to Purchase
Zafar H. Khan,
Zafar H. Khan
CIIT-COMSATS Institute of Information Technology, Abbottabad, Pakistan
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Rahim Gul,
Rahim Gul
CIIT-COMSATS Institute of Information Technology, Abbottabad, Pakistan
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Waqar A. Khan
Waqar A. Khan
National University of Sciences and Technology, Karachi, Pakistan
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Zafar H. Khan
CIIT-COMSATS Institute of Information Technology, Abbottabad, Pakistan
Rahim Gul
CIIT-COMSATS Institute of Information Technology, Abbottabad, Pakistan
Waqar A. Khan
National University of Sciences and Technology, Karachi, Pakistan
Paper No:
HT2008-56448, pp. 301-309; 9 pages
Published Online:
July 7, 2009
Citation
Khan, ZH, Gul, R, & Khan, WA. "Effect of Variable Thermal Conductivity on Heat Transfer From a Hollow Sphere With Heat Generation Using Homotopy Perturbation Method." Proceedings of the ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. Heat Transfer: Volume 1. Jacksonville, Florida, USA. August 10–14, 2008. pp. 301-309. ASME. https://doi.org/10.1115/HT2008-56448
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