Optimization of straight fins with a step change in thickness and variable thermal conductivity by homotopy perturbation method

Isi Bilimi Ve Teknigi Dergisi/ Journal of Thermal Science and Technology

Volumn 30, Issue 2, 2010, Pages 9-19

  Arslantürk, Cihat ^a  

^a ATATÜRK UNIVERSITY   (Turkey)

Author keywords

Fin; Homotopy perturbation method; Optimization; Variable conductivity

Indexed keywords

ANALYTICAL SOLUTIONS; FIN; FIN MATERIALS; FLAT FINS; HEAT TRANSFER RATE; HOMOTOPY PERTURBATION METHOD; OPTIMALITY; OPTIMUM GEOMETRY; POWER SERIES; STEP CHANGES; STRAIGHT FINS; TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY; THERMAL CONDITION; VARIABLE THERMAL CONDUCTIVITY;

FINS (HEAT EXCHANGE); FORCED CONVECTION; OPTIMIZATION; THERMOANALYSIS;

THERMAL CONDUCTIVITY;

EID: 84856650177     PISSN: 13003615     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Ascher, U., and Petzold, L., Computer methods for ordinary differential equations and differentialalgebraic equations, SIAM, Philadelphia, 1998.
2. Aziz, A., Optimum design of a rectangular fin with a step change in cross-sectional area, International Communications in Heat and Mass Transfer, 21, 389-401, 1994. (Pubitemid 278495)
3. Cowdhury, M. S. H., and Hashim, I., Analytical solutions to heat transfer equations by homotopyperturbation method revisited, Physics Letters A, 372, 1240-1243, 2008.
4. Cowdhury, M. S. H., Hashim, I., and Abdulaziz, O., Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fintype problems, Communications in Nonlinear Science and Numerical Simulation, 14, 371-378, 2009.
5. He, J. H., Homotopy perturbation technique, Computational Methods in Applied Mechanics and Engineering, 178, 257-262, 1999.
6. He, J. H., A coupling method of a homotopy technique and a perturbation technique for non-linear problems, International Journal of Non-Linear Mechanics, 35, 37-43, 2000.
7. He, J. H., Homotopy perturbation method: A new nonlinear analytical technique, Applied Mathematics and Computation 135, 73-79, 2003.
8. Hollands, K. G. T., and Stedman, B. A., Optimization of an absorber plate fin having a step change in local thickness, Solar Energy 49, 493-495, 1992. (Pubitemid 23570669)
9. Kern, Q. D., and Kraus, D. A., Extended Surface Heat Transfer, McGraw-Hill, New York, 1972.
10. Kundu, B., and Das, P. K., Performance analysis and optimization of annular fin with a step change in thickness, Journal of Heat Transfer, 123 601-604, 2001.
11. Kundu, B., and Das, P. K., Performance analysis and optimization of straight taper fins with variable heat transfer coefficient, International Journal of Heat and Mass Transfer, 45, 4739-4751, 2002.
12. Kundu, B., and Das, P. K., Performance analysis and optimization of elliptic fins circumscribing a circular tube, International Journal of Heat and Mass Transfer, 50, 173-180, 2007. (Pubitemid 44709006)
13. Kundu, B., Analysis of thermal performance and optimization of concentric circular fins under dehumidifying conditions, International Journal of Heat and Mass Transfer, 2646-2659, 2009.
14. Malekzadeh P., Rahideh, H., and Karami, G., Optimization of convective-radiative fins by using differential quadrature method, Energy Conversion and Management, 47, 1505-1514, 2006. (Pubitemid 43374841)
15. Öziş, T., and Aǧirseven, D., He's homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients, Physics Letters A, 372, 5944-5950, 2008.
16. Saadatmandi, A., Dehghan, M., and Eftekhari, A., Application of He's homotopy perturbation method for nonlinear system of second-order boundary value problems, Nonlinear Analysis: Real World Applications, 10, 1912-1922, 2009.