scholarly journals Unsteady boundary layer flow of a casson fluid past an oscillating vertical plate with constant wall temperature

2015 ◽  
Vol 11 (1) ◽  
Author(s):  
Asma Khalid ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Boundary Layer ◽  
Newtonian Fluid ◽  
Wall Temperature ◽  
Boundary Layer Flow ◽  
Vertical Plate ◽  
Casson Fluid ◽  
Unsteady Boundary Layer ◽  
Constant Wall Temperature ◽  
Casson Fluid Model ◽  
Layer Flow

The unsteady boundary layer flow is presented for non-Newtonian fluid flow past an oscillating vertical plate with constant wall temperature. The Casson fluid model is used to distinguish the non-Newtonian fluid behavior. The governing partial differential equations corresponding to the momentum and energy equations are transformed into dimensionless forms, by using suitable transformations. Laplace transform method is used to find the exact solutions of these equations. The 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. 

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

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Asma Khalid ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Differential Equations ◽  
Exact Solutions ◽  
Wall Temperature ◽  
Vertical Plate ◽  
Fluid Model ◽  
Casson Fluid ◽  
Convection Flow ◽  
Constant Wall Temperature ◽  
Transform Method ◽  
Casson Fluid Model

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.

scholarly journals Similarity Solutions for an Internal Heat Generation, Thermal Radiation and Free Convection Unsteady Boundary Layer Flow over a Vertical Plate

2016 ◽  
Vol 8 (3) ◽  
pp. 341-353 ◽  
Author(s):  
M. Y. Ali ◽  
N. M. R. Zahed ◽  
M. N. Uddin ◽  
M. J. Uddin
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Heat Generation ◽  
Boundary Layer Flow ◽  
Vertical Plate ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Unsteady Boundary Layer ◽  
Layer Flow

The present paper deals with possible similarity solution of unsteady boundary layer flow over a vertical plate in the presence of internal heat generation, thermal radiation and buoyancy force. Under suitable similarity transformations, the non-linear partial differential equations are transformed into a set of ordinary differential equations. The transformed ordinary differential equations with boundary conditions are then solved numerically by using sixth order Runge-Kutta integration scheme. The effects of the governing parameters on the flow and thermal fields are investigated and shown graphically for various parameters in the velocity and the temperature distributions. The most essential case is discussed in this paper.

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