Abstract and Applied Analysis

Exact Solutions for Unsteady Free Convection Flow of Casson Fluid over an Oscillating Vertical Plate with Constant Wall Temperature

Asma Khalid, Ilyas Khan, and Sharidan Shafie

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Abstract

The unsteady free flow of a Casson fluid past an oscillating vertical plate with constant wall temperature has been studied. The Casson fluid model is used to distinguish the non-Newtonian fluid behaviour. The governing partial differential equations corresponding to the momentum and energy equations are transformed into linear ordinary differential equations by using nondimensional variables. Laplace transform method is used to find the exact solutions of these equations. Expressions for shear stress in terms of skin friction and the rate of heat transfer in terms of Nusselt number are also obtained. Numerical results of velocity and temperature profiles with various values of embedded flow parameters are shown graphically and their effects are discussed in detail.

Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2014), Article ID 946350, 8 pages.

Dates
First available in Project Euclid: 15 April 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1429104824

Digital Object Identifier
doi:10.1155/2015/946350

Mathematical Reviews number (MathSciNet)
MR3332074

Zentralblatt MATH identifier
1356.35179

Citation

Khalid, Asma; Khan, Ilyas; Shafie, Sharidan. Exact Solutions for Unsteady Free Convection Flow of Casson Fluid over an Oscillating Vertical Plate with Constant Wall Temperature. Abstr. Appl. Anal. 2015, Special Issue (2014), Article ID 946350, 8 pages. doi:10.1155/2015/946350. https://projecteuclid.org/euclid.aaa/1429104824


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