scholarly journals MHD MIXED CONVECTION FLOW OF A NON-NEWTONIAN POWELL-ERYING FLUID OVER A PERMEABLE EXPONENTIALLY SHRINKING SHEET

2018 ◽  
Vol 10 ◽  
Author(s):  
Krishendu Bhattacharyya ◽  
Astick Banerjee ◽  
Aurang Zaib ◽  
S.K. Mahato
Keyword(s):  
Mixed Convection ◽  
Convection Flow ◽  
Shrinking Sheet ◽  
Mixed Convection Flow ◽  
Exponentially Shrinking Sheet

scholarly journals Three-Dimensional Magnetohydrodynamic Mixed Convection Flow of Nanofluids over a Nonlinearly Permeable Stretching/Shrinking Sheet with Velocity and Thermal Slip

2018 ◽  
Vol 8 (7) ◽  
pp. 1128 ◽  
Author(s):  
Anuar Jamaludin ◽  
Roslinda Nazar ◽  
Ioan Pop
Keyword(s):  
Differential Equations ◽  
Mixed Convection ◽  
Ordinary Differential Equations ◽  
Three Dimensional ◽  
Convection Flow ◽  
Shrinking Sheet ◽  
Lower Branch ◽  
Mixed Convection Flow ◽  
Branch Solution ◽  
Convection Parameter

In this paper, the steady three-dimensional magnetohydrodynamic (MHD) mixed convection flow of nanofluids over a permeable vertical stretching/shrinking sheet with slip conditions is investigated in a numerical manner. As such, two types of nanofluids, Cu-water and Ag-water, had been considered. A similarity transformation was employed to reduce the governing equations to ordinary differential equations, which were then solved numerically using the MATLAB (Matlab R2015a, MathWorks, Natick, MA, USA, 1984) programme bvp4c. The numerical solutions derived from the ordinary differential equations subjected to the associated boundary conditions, were obtained to represent the values of the mixed convection parameter. Dual (upper and lower branch) solutions were discovered in the opposing flow region of the mixed convection parameter. A stability analysis was carried out to prove that the upper branch solution was indeed stable, while the lower branch solution was unstable. The significant effects of the governing parameters on the reduced skin friction coefficients, the reduced local Nusselt number, as well as the velocity and temperature profiles, were presented graphically and discussed in detail.

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