Analytic solutions for a rotating radial fin of rectangular and various convex parabolic profiles

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 6, 2010, Pages 1565-1574

  Aziz, Abdul ^a   Khani, F ^b  

^a GONZAGA UNIVERSITY   (United States)

^b Bakhtar Institute of Higher Education Iran   (Iran)

Author keywords

Fin effectiveness; Heat transfer rate; Homotopy analysis method; Radial fin; Rectangular; Rotating shaft; Temperature distribution; Various convex parabolic profiles

Indexed keywords

ANGULAR DISTRIBUTION; FINS (HEAT EXCHANGE); HEAT CONVECTION; ROTATING MACHINERY;

ANALYSIS METHOD; FIN EFFECTIVENESS; HEAT TRANSFER RATE; HOMOTOPY ANALYSE METHOD; HOMOTOPY ANALYSIS; PARABOLIC PROFILES; RADIAL FINS; RECTANGULAR; ROTATING SHAFT; VARIOUS CONVEX PARABOLIC PROFILE;

TEMPERATURE DISTRIBUTION;

EID: 72049104441     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.07.008     Document Type: Article

References (19)

1. Kraus A.D., Aziz A., and Welty J.R. Extended surface heat transfer (2001), John Wiley, New York
2. Eraslan A.N., and Akis T. On the plastic deformation of a rotating disk subjected to a radial temperature gradient. Mech Des Struct Mach 31 4 (2003) 529-561
3. Eraslan A.N., and Kartal M.E. Stress distributions in cooling fins of variable thickness with and without rotation. J Therm Stresses 28 8 (2005) 861-883
4. Eraslan A.N., and Tokdemir T. Thermoelastic response of a fin exhibiting elliptic thickness profile: an analytical solution. Int J Therm Sci 47 (2008) 274-281
5. Sparrow E.M., and Preston C.S. Heat transfer from rotating annular fins. Int J Heat Mass Transfer 29 6 (1986) 831-839
6. Liao S.J. An explicit, totally analytic approximate solution for Blasius-viscous flow problems. Int J Nonlinear Mech 34 4 (1999) 759-778
7. Liao S.J. Beyond perturbation: introduction to the homotopy analysis method (2003), Chapman & Hall/CRC Press, Boca Raton
8. Liao S.J., and Tan Y. A general approach to obtain series solutions of nonlinear differential equations. Stud Appl Math 119 (2007) 297-355
9. Liao S.J. Notes on the homotopy analysis method: some definitions and theorems. Commun Nonlinear Sci Numer Simulat 14 4 (2009) 983-997
10. Molabahrami A., and Khani F. The homotopy analysis method to solve the Burgers-Huxley equation. Nonlinear Anal Real World Appl 10 2 (2009) 589-600
11. Khani F., Ahmadzadeh Raji M., and Hamedi-Nezhad S. A series solution of the fin problem with a temperature-dependent 3 thermal conductivity. Commun Nonlinear Sci Numer Simulat 14 (2009) 3007-3017
12. Khani F., Farmany A., Ahmadzadeh Raji M., Aziz A., and Samadi F. Analytical solution for heat transfer of a third grade viscoelastic fluid in non-Darcy porous media with thermophysical effects. Commun Nonlinear Sci Numer Simulat 14 11 (2009) 3867-3878
13. Khani F., Ahmadzadeh Raji M., and Hamedi Nejad H. Analytical solutions and efficiency of the nonlinear fin problem with 3 temperature-dependent thermal conductivity and heat transfer coefficient. Commun Nonlinear Sci Numer Simulat 14 (2009) 3327-3338
14. Khani F., and Aziz A. Thermal analysis of a longitudinal trapezoidal fin with temperature-dependent thermal conductivity and heat transfer coefficient. Commun Nonlinear Sci Numer Simulat 15 3 (2010) 590-601
15. Darvishi M.T., and Khani F. A series solution of the foam drainage equation. Comput Math Appl 58 (2009) 360-368
16. Sajid M., Ahmad I., Hayat T., and Ayub M. Unsteady flow and heat transfer of a second grade fluid over a stretching sheet. Commun Nonlinear Sci Numer Simulat 14 1 (2009) 96-108
17. Liao S.J. A new branch of solutions of boundary-layer flows over an impermeable stretched plate. Int J Heat Mass Transfer 48 (2005) 2529-2539
18. Liao S.J., and Magyari E. Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones. ZAMP 57 5 (2006) 777-792
19. He J.H. Comparison of homotopy perturbation method and homotopy analysis method. Appl Math Comput 156 (2004) 527-539