Date of download: 12/22/2017 Copyright © ASME. All rights reserved. From: Homotopy Perturbation Method for the Analysis of Heat Transfer in an Annular Fin With Temperature-Dependent Thermal Conductivity J. Heat Transfer. 2016;139(2):022001-022001-8. doi:10.1115/1.4034811 Figure Legend: Geometry of a rectangular profile annular fin

Date of download: 12/22/2017 Copyright © ASME. All rights reserved. From: Homotopy Perturbation Method for the Analysis of Heat Transfer in an Annular Fin With Temperature-Dependent Thermal Conductivity J. Heat Transfer. 2016;139(2):022001-022001-8. doi:10.1115/1.4034811 Figure Legend: Steady-state temperature distribution along the dimensionless fin radius for convection–radiation (ha = 50 W/m2 K and α = ε = 0.8), pure convection (ha = 50 W/ m2 K and α = ε = 0), and pure radiation (ha = 0 and α = ε = 0.8) heat transfer

Date of download: 12/22/2017 Copyright © ASME. All rights reserved. From: Homotopy Perturbation Method for the Analysis of Heat Transfer in an Annular Fin With Temperature-Dependent Thermal Conductivity J. Heat Transfer. 2016;139(2):022001-022001-8. doi:10.1115/1.4034811 Figure Legend: (a) Effect of AR on ɳ and Q* for convection–radiation heat transfer (fLR = 2, Bic = 1.08 × 10−3, and Bir = 2.63 × 10−5), (b) effect of fLR on ɳ and Q* for convection–radiation heat transfer (AR = 10, Bic = 1.08 × 10−3, and Bir = 2.63 × 10−5), (c) effect of Bic on ɳ and Q* for convection–radiation heat transfer (AR = 10, fLR = 2, and Bir = 2.63 × 10−5), and (d) effect of Bir on ɳ and Q* for convection–radiation heat transfer (AR = 10, fLR = 2, and Bic = 1.08 × 10−3)

Date of download: 12/22/2017 Copyright © ASME. All rights reserved. From: Homotopy Perturbation Method for the Analysis of Heat Transfer in an Annular Fin With Temperature-Dependent Thermal Conductivity J. Heat Transfer. 2016;139(2):022001-022001-8. doi:10.1115/1.4034811 Figure Legend: Comparison plot of temperature distribution for purely convective heat transfer (β = 0) showing analytical and HPM results

Date of download: 12/22/2017 Copyright © ASME. All rights reserved. From: Homotopy Perturbation Method for the Analysis of Heat Transfer in an Annular Fin With Temperature-Dependent Thermal Conductivity J. Heat Transfer. 2016;139(2):022001-022001-8. doi:10.1115/1.4034811 Figure Legend: (a) Effect of AR on ɳ and Q* for pure convection heat transfer (fLR = 2 and Bic = 1.08 × 10−3), (b) effect of fLR on ɳ and Q* for pure convection heat transfer (AR = 10 and Bic = 1.08 × 10−3), and (c) effect of Bic on ɳ and Q* for pure convection heat transfer (AR = 10 and fLR = 2)

Date of download: 12/22/2017 Copyright © ASME. All rights reserved. From: Homotopy Perturbation Method for the Analysis of Heat Transfer in an Annular Fin With Temperature-Dependent Thermal Conductivity J. Heat Transfer. 2016;139(2):022001-022001-8. doi:10.1115/1.4034811 Figure Legend: (a) Effect of AR on ɳ and Q* for pure radiation heat transfer (fLR = 2 and Bir = 2.63 × 10−5), (b) effect of fLR on ɳ and Q* for pure radiation heat transfer (AR = 10 and Bir = 2.63 × 10−5), and (c) effect of Bir on ɳ and Q* for pure radiation heat transfer (AR = 10 and fLR = 2)

Date of download: 12/22/2017 Copyright © ASME. All rights reserved. From: Homotopy Perturbation Method for the Analysis of Heat Transfer in an Annular Fin With Temperature-Dependent Thermal Conductivity J. Heat Transfer. 2016;139(2):022001-022001-8. doi:10.1115/1.4034811 Figure Legend: Effect of θb on η and Q* for convection–radiation (AR = 10, fLR = 2, Bic = 1.08 × 10−3, Bir = 2.63 × 10−5, and β = 0), pure convection (AR = 10, fLR = 2, Bic = 1.08 × 10−3, and β = 0), and pure radiation (AR = 10, fLR = 2, Bir = 2.63 × 10−5, and β = 0) heat transfer mechanisms