## THERMAL SCIENCE

International Scientific Journal

### SERIES SOLUTION OF ENTROPY GENERATION TOWARD AN ISOTHERMAL FLAT PLATE

**ABSTRACT**

The steady 2-D boundary layer flow over a flat plate is studied analytically by homotopy perturbation method to analyze the entropy generation inside the boundary layer with constant wall temperature. By the transformations of governing equations including continuity, momentum, and energy by similarity variables, a dimensionless equation for entropy generation inside the boundary layer is obtained. The effects of important parameters such as Reynolds and Eckert numbers are investigated and the physical interpretations of the results are explained in details.

**KEYWORDS**

PAPER SUBMITTED: 2012-08-12

PAPER REVISED: 2012-09-07

PAPER ACCEPTED: 2012-09-12

**THERMAL SCIENCE** YEAR

**2012**, VOLUME

**16**, ISSUE

**Issue 5**, PAGES [1289 - 1295]

- Dugdale, J. S., Entropy and its Physical Meaning, 2nd ed., Taylor and Francis, London, 1996
- Bejan, A., Entropy Generation Minimization, 2nd ed., CRC, Boca Raton, Fla., USA, 1996
- Amani, E., Nobari, M. R. H., A Numerical Investigation of Entropy Generation in the Entrance Region of Curved Pipes at Constant Wall Temperature, Energy, 36 (2011), 8, pp. 4909-4918
- Bidi, M., Nobari, M. R. H., Avval, M. S., A Numerical Evaluation of Combustion in Porous Media by EGM (Entropy Generation Minimization), Energy, 35 (2010), 8, 3483-3500
- Khan, W. A., Gorla, R. S. R., Entropy Generation in Non-Newtonian Fluids along a Horizontal Plate in Porous Media, Journal of Thermophysics and Heat Transfer, 25 (2011), 2, pp. 6-10
- Blasius, H., Boundary Layers in Liquids with Low Friction, Z. Math. Phys, 56 (1908), pp. 37-46
- Schlichting, H., Gersten, K., Boundary Layer Theory, 8th ed., Springer, Berlin, 2000
- Leal, L. G., Advanced Transport Phenomena, Fluid Mechanics and Convective Transport Processes, Cambridge University Press, New York, USA, 2007
- He, J.-H., A Note on the Homotopy Perturbation Method, Thermal Science, 14 (2010), 2, pp. 565-568
- Ganji, S. S., et al., Application of AFF and HPM to the Systems of Strongly Nonlinear Oscillation, Current Applied Physics, 10 (2010), 5, pp. 1317-1325
- Nia, S. H. H., et al., Maintaining the Stability of Nonlinear Differential Equations by the Enhancement of HPM, Physics Letters A, 372 (2008), 16, pp. 2855-2861
- Ganji, D. D., Afrouzi, G. A., Talarposhti, R. A., Application of Variational Iteration Method and Homotopy- Perturbation Method for Nonlinear Heat Diffusion and Heat Transfer Equations, Physics Letters A, 368 (2007), 6, pp. 450-457
- Jalaal, M., Ganji, D. D., On Unsteady Rolling Motion of Spheres in Inclined Tubes Filled with Incompressible Newtonian Fluids, Advanced Powder Technology, 22 (2011), 1, pp. 58-67
- Mehdipour, I., Ganji, D. D., Mozaffari, M., Application of the Energy Balance Method to Nonlinear Vibrating Equations, Current Applied Physics, 10 (2010), 1, pp. 104-112
- Rafei, M., Daniali, H., Ganji, D. D., Variational Iteration Method for Solving the Epidemic Model and the Prey and Predator Problem, Applied Mathematics and Computation, 186 (2007), 2, pp. 1701-1709
- Rafei, M., et al., Application of Homotopy Perturbation Method to the RLW and Generalized Modified Boussinesq Equations, Physics Letters A, 364 (2007), 1, pp. 1-6
- Domairry, D. G., Mohsenzadeh, A., Famouri, M., The application of Homotopy Analysis Method to Solve Nonlinear Differential Equation Governing Jeffery-Hamel Flow, Communications in Nonlinear Science and Numerical Simulation, 14 (2009), 1, pp. 85-95
- Ziabakhsh, Z., Domairry, G., Solution of the Laminar Viscous Flow in a Semi-Porous Channel in the Presence of an Uniform Magnetic Field by Using the Homotopy Analysis Method, Communications in Nonlinear Science and Numerical Simulation, 14 (2009), 4, pp. 1284-1294
- Jamshidi, N., Ganji, D. D., Application of Energy Balance Method and Variational Iteration Method to an Oscillation of a Mass Attached to a Stretched Elastic Wire, Current Applied Physics, 10 (2010), 2, pp. 484-486
- Hedayati, F., et al., An Analytical Study on a Model Describing Heat Conduction in Rectangular Radial Fin with Temperature-Dependent Thermal Conductivity, International Journal of Thermophysics, 33 (2012), 6, pp. 1042-1054
- Hamidi, S. M., et al., A Novel and Developed Approximation for Motion of a Spherical Solid Particle in Plane Coquette Fluid Flow, Advanced Powder Technology, (2012), in press
- Ganji, D. D., Rahimi, M., Rahgoshay, M., Determining the Fin Efficiency of Convective Straight Fins with Temperature Dependent Thermal Conductivity by Using Homotopy Perturbation Method, International Journal of Numerical Methods for Heat & Fluid Flow, 22 (2012), pp. 263-272
- Ganji, D. D., A Semi-Analytical Technique for Non-Linear Settling Particle Equation of Motion, Journal of Hydro-Environment Research, 6 (2012), pp. 323-327
- Kachapi, S. H., Ganji, D. D., Nonlinear Equations: Analytical Methods and Applications, Springer, Sep 12, 2012
- Sheikholeslami. M., et al., Analytical Investigation of Jeffery-Hamel Flow with High Magnetic Field and Nanoparticle by Adomian Decomposition Method, Applied Mathematics and Mechanics, 33 (2012) pp. 25-36