Global regularity for 2D SQG equation with variable viscosity term

2020 ◽  
Vol 102 ◽  
pp. 106153
Author(s):  
Zhuan Ye
Keyword(s):  
Global Regularity ◽  
Variable Viscosity ◽  
Viscosity Term

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.

Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions

2019 ◽  
Vol 6 (2) ◽  
Author(s):  
G. Manjunatha ◽  
C. Rajashekhar ◽  
K. V. Prasad ◽  
Hanumesh Vaidya ◽  
Saraswati
Keyword(s):  
Boundary Conditions ◽  
Frictional Force ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Peristaltic Flow ◽  
Physical Parameters ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Closed Form Solutions

The present article addresses the peristaltic flow of a Jeffery fluid over an inclined axisymmetric porous tube with varying viscosity and thermal conductivity. Velocity slip and convective boundary conditions are considered. Resulting governing equations are solved using long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, streamline, pressure gradient, temperature, pressure rise, and frictional force. The MATLAB numerical simulations are utilized to compute pressure rise and frictional force. The impacts of various physical parameters in the interims for time-averaged flow rate with pressure rise and is examined. The consequences of sinusoidal, multi-sinusoidal, triangular, trapezoidal, and square waveforms on physiological parameters are analyzed and discussed through graphs. The analysis reveals that the presence of variable viscosity helps in controlling the pumping performance of the fluid.

New Exact Solutions of Steady Plane Flows of an In Compressible Fluid of Variable Viscosity

2016 ◽  
Vol 2 (1) ◽  
Author(s):  
Sobia Younus
Keyword(s):  
Exact Solutions ◽  
Stream Function ◽  
Compressible Fluid ◽  
Variable Viscosity ◽  
Plane Motion ◽  
Transformation Technique ◽  
Vorticity Distribution ◽  
New Exact Solutions ◽  
Steady Plane ◽  
Uniform Stream

<span>Some new exact solutions to the equations governing the steady plane motion of an in compressible<span> fluid of variable viscosity for the chosen form of the vorticity distribution are determined by using<span> transformation technique. In this case the vorticity distribution is proportional to the stream function<span> perturbed by the product of a uniform stream and an exponential stream<br /><br class="Apple-interchange-newline" /></span></span></span></span>

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