Research ArticleOpen AccessGoogle Scholar indexed
Energetic Balance for the Flow Induced by a Constantly Accelerating Plate in a Second Grade Fluid
- 1
- 2
- 3
Copy link · social · email
Abstract
Dissipation, power due to the shear stress at the wall and the boundary layer thickness corresponding to the unsteady flow of a second grade fluid, due to a constantly accelerating plate, are established in exact and approximate forms. The changing of the kinetic energy with time is also determined from the energetic balance. Exact expressions of the same entities for Newtonian fluids are recovered as limiting cases of general results.
KeywordsSecond Grade FluidDissipationEnergetic BalancePowerKinetic EnergyConstantly Accelerating Plate
- K. Bühler and J. Zierep, “Energetische Betrachtungen Zum Rayleigh-Stokes Problem,” Proceedings in Applied Mathematics and Mechanics, Vol. 5, No. 1, 2005, pp. 539-540.
- J. Zierep and C. Fetecau, “Energetic Balance for the Rayleigh-Stokes Problem of a Second Grade Fluid,” International Journal of Engineering Science, Vol. 45, No. 1, 2007, pp. 155-162.
- J. Zierep and C. Fetecau, “Energetic Balance for the Rayleigh-Stokes Problem of a Maxwell Fluid,” International Journal of Engineering Science, Vol. 45, No. 2-8, 2007, pp. 617-627.
- R. Bandelli, K. R. Rajagopal and G. P. Galdi, “On some Unsteady Motions of Fluids of Second Grade,” Archives of Mechanics, Vol. 47, No. 4, 1995, pp. 661-676.
- C. Fetecau and J. Zierep, “On a Class of Exact Solutions of the Equations of Motion of a Second Grade Fluid,” Acta Mechanica, Vol. 150, No. 1-2, 2001, pp. 135-138.
- M. E. Erdogan and C. E. Imrak, “On Unsteady Motions of a Second-Order Fluid over a Plane Wall,” International Journal of Non-Linear Mechanics, Vol. 38, No. 7, 2003, pp. 1045-1051.
- I. Teipel, “The Impulsive Motion of a Flat Plate in a Visco-Elastic Fluid,” Acta Mechanica, Vol. 39, No. 3-4, 1981, pp. 277-279.
- C. Fetecau, S. C. Prasad and K. R. Rajagopal, “A Note on the Flow Induced by a Constantly Accelerated Plate in an Oldroyd-B Fluid,” Applied Mathematical Modelling, Vol. 31, No. 4, 2007, pp. 647-654.
- C. Fetecau, D. Vieru, A. Mahmood and C. Fetecau, “On the Energetic Balance for the Flow of a Maxwell Fluid Due to a Constantly Accelerating Plate,” Acta Mechanica, Vol. 203, No. 1-2, 2009, pp. 89-96.
- M. E. Erdogan and C. E. Imrak, “On the Comparison of Two Different Solutions in the Form of Series of the Governing Equation of an Unsteady Flow of a Second Grade Fluid,” International Journal of Non-Linear Mechanics, Vol. 40, No. 4, 2005, pp. 545-550.