scholarly journals Influence of radiation and viscous dissipation on magnetohydrodynamic Jeffrey fluid over a stretching sheet with convective boundary conditions

2017 ◽  
Vol 13 (3) ◽  
Author(s):  
Syazwani Mohd Zokri ◽  
Nur Syamilah Arifin ◽  
Muhammad Khairul Anuar Mohamed ◽  
Mohd Zuki Salleh ◽  
Abdul Rahman Mohd Kasim ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Viscous Dissipation ◽  
Stretching Sheet ◽  
Fluid Velocity ◽  
Mhd Flow ◽  
Deborah Number ◽  
Jeffrey Fluid ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Linear Ordinary Differential Equations

The present paper focuses on the influence of radiation and viscous dissipation on magnetohydrodynamic (MHD) flow and heat transfer of a Jeffrey fluid over a stretching sheet with convective boundary conditions (CBC). The governing equations are reduced to non-linear ordinary differential equations by using similarity transformation variables and then solved by using Runge-Kutta-Fehlberg method. The results generated from the numerical computations are presented in the form of tables and graphs for some values of Deborah number, ratio of relaxation to retardation times, Eckert number, radiation parameter and magnetic parameter. It is found that the distribution of fluid velocity is noticeably increased with an increment in Deborah number while the distribution of temperature shows the opposite trend.

Entrance, Viscous Dissipation and Temperature Dependent Viscosity Effects in Microchannel Flows With Convective Boundary Conditions

2006 ◽  
Author(s):  
C. Nonino ◽  
S. Del Giudice ◽  
S. Savino
Keyword(s):  
Boundary Conditions ◽  
Viscous Dissipation ◽  
Circular Cross Section ◽  
Laminar Flows ◽  
Projection Algorithm ◽  
Convective Boundary Conditions ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Convective Boundary ◽  
Dependent Viscosity

The effects of viscous dissipation and temperature dependent viscosity in simultaneously developing laminar flows of liquids in straight microchannels of circular cross-section are studied with reference to convective boundary conditions. Viscosity is assumed to vary linearly with temperature, in order to allow a parametric investigation, while the other fluid properties are held constant. A finite element procedure, based on a projection algorithm, is employed for the step-by-step solution of the parabolized momentum and energy equations. Axial distributions of the local overall Nusselt number and of the apparent Fanning friction factor are presented with reference to both heating and cooling conditions for three different values of the Biot number. Examples of temperature profiles at different axial locations are also shown.

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