ADIABATIC SHEARING OF AN INCOMPRESSIBLE FLUID WITH TEMPERATURE-DEPENDENT VISCOSITY UNDER PERIODIC OR STEADY-BOUNDARY CONDITIONS

1985 ◽  
Vol 8 (4) ◽  
pp. 425-434 ◽  
Author(s):  
Nicolas Charalambakis
Author(s):  
C. Nonino ◽  
S. Del Giudice ◽  
S. Savino

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.


1998 ◽  
Vol 120 (3) ◽  
pp. 600-605 ◽  
Author(s):  
T. M. Harms ◽  
M. A. Jog ◽  
R. M. Manglik

Fully developed laminar flows in a semicircular duct with temperature-dependent viscosity variations in the flow cross section are analyzed, where the viscosity-temperature behavior is described by the Arrhenius model. Both the T and H1 boundary conditions are considered, as they represent the most fundamental heating/cooling conditions encountered in practical compact heat exchanger applications. Numerical solutions for the flow velocity and the temperature fields have been obtained by finite difference technique. The friction factor and Nusselt number results display a strong dependence on the viscosity ratio (μw/μb), and this is correlated using the classical power-law relationship. However, results indicate that the power-law exponents are significantly different from traditional values for circular tube. They are found to be functions of the flow geometry, boundary condition, and direction of heat transfer (heating or cooling).


Meccanica ◽  
1973 ◽  
Vol 8 (3) ◽  
pp. 168-173
Author(s):  
Gabriella Barsanti ◽  
Mario Ciampi ◽  
Sergio Faggiani ◽  
Giuseppe Tuoni

2019 ◽  

This paper studied Magneto hydrodynamics viscious, incompressible fluid bounded by the parallel non-conducting porous walls. The viscousity of the fluid is assumed to be temperature dependent. The fluid is subjected to a constant pressure gradient and an external uniformmagnetic field perpendicular to the walls. The two walls are kept different but constant temperature while the Joule and viscious dissipation are included in the energy equation. Graphs were presented to show the effects of temperature depentent viscosity on both the velocity and temperature distribution.


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