An Exact Solution for the Flow of Temperature-Dependent Viscous Fluids in Heated Rectangular Ducts

1973 ◽  
Vol 95 (4) ◽  
pp. 555-557 ◽  
Author(s):  
H. W. Butler ◽  
D. E. McKee
Keyword(s):  
Exact Solution ◽  
Viscous Fluids ◽  
Width Ratio ◽  
Temperature Ratio ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Fully Developed Flow ◽  
Isothermal Case ◽  
Dependent Viscosity ◽  
Viscosity Dependence

An exact solution has been developed for the fully-developed flow of fluids having temperature-dependent viscosity and thermal conductivity in rectangular ducts with transverse heat conduction. The problem is uniquely defined in terms of four parameters: the height-to-width ratio, E, the product of the friction factor and the Reynold’s number, f·Re, the temperature ratio across the duct, T2/T1, and the exponent of the viscosity dependence on temperature. The results indicate that significant departures from the isothermal case may obtain for heated flows.

Steady Fully Developed Mixed Convection Flow in a Vertical Channel with Heat and Mass Transfer and Temperature-Dependent Viscosity: An Exact Solution

2019 ◽  
Vol 74 (3) ◽  
pp. 235-244 ◽  
Author(s):  
Basant K. Jha ◽  
Michael O. Oni
Keyword(s):  
Exact Solution ◽  
Mixed Convection ◽  
Variable Viscosity ◽  
Vertical Channel ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Viscosity Term ◽  
Dependent Viscosity

AbstractAn exact solution for mixed convection flow with temperature-dependent viscosity in a vertical channel subject to wall asymmetric heating and concentration is obtained. The momentum, concentration, and energy equations governing the flow configuration are derived and solved exactly by incorporating the variable viscosity term, which is assumed to exponentially decrease/increase with temperature difference into the momentum equation. The roles of governing parameters are depicted with the aid of tables and line graphs. Results show that buoyancy ratio parameter can bring about the occurrence of flow reversal at the walls. It is also found that heat transfer, total species rate, skin friction, and reverse flow occurrence are enhanced in the presence of temperature-dependent viscosity.

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