scholarly journals Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 647 ◽  
Author(s):  
Rahmat Ellahi ◽  
Ahmed Zeeshan ◽  
Farooq Hussain ◽  
Tehseen Abbas
Keyword(s):  
Couple Stress ◽  
Couple Stress Fluid ◽  
Uniform Motion ◽  
Parallel Plates ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Linear System Of Equations ◽  
Axial Pressure Gradient ◽  
Dependent Viscosity ◽  
Non Linear System

The Couette–Poiseuille flow of couple stress fluid with magnetic field between two parallel plates was investigated. The flow was driven due to axial pressure gradient and uniform motion of the upper plate. The influence of heating at the wall in the presence of spherical and homogeneous Hafnium particles was taken into account. The temperature dependent viscosity model, namely, Reynolds’ model was utilized. The Runge–Kutta scheme with shooting was used to tackle a non-linear system of equations. It was observed that the velocity decreased by increasing the values of the Hartman number, as heating of the wall reduced the effects of viscous forces, therefore, resistance of magnetic force reduced the velocity of fluid. However, due to shear thinning effects, the velocity was increased by increasing the values of the viscosity parameter, and as a result the temperature profile also declined. The suspension of inertial particles in an incompressible turbulent flow with Newtonian and non-Newtonian base fluids can be used to analyze the biphase flows through diverse geometries that could possibly be future perspectives of proposed model.

Bio-convective couple stress nanofluid behavior analysis with temperature-dependent viscosity and higher order slip encountered by a moving surface

2021 ◽  
pp. 2150199
Author(s):  
Yun-Xiang Li ◽  
Sami Ullah Khan ◽  
Faqir Shah ◽  
Hassan Waqas ◽  
M. Ijaz Khan ◽  
...  
Keyword(s):  
Couple Stress ◽  
Higher Order ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Moving Surface ◽  
Flow Equations ◽  
Thermal Features ◽  
Physical Consequences ◽  
Dependent Viscosity ◽  
Physical Features

In nanotechnology, the nanofluids are decomposition of base materials and nanoparticles where the nanoparticles are immersed in base liquid. The utilization of such nanoparticles into base liquids can significantly enhance the thermal features of resulting materials which involve applications in various industrial and technological processes. While studying the rheological features of non-Newtonian fluids, the constant viscosity assumptions are followed in many investigations. However, by considering the viscosity as a temperature-dependent is quite useful to improve the heating processes along with nanoparticles. Keeping such motivations in mind, this investigation reports the temperature-dependent viscosity and variable heat-dependent conductivity in bioconvection flow of couple stress nanoparticles encountered by a moving surface. The famous Reynolds exponential viscosity model is used to deploy the relations for temperature-dependent viscosity. Moreover, the activation energy and higher order slip (Wu’s slip) are also elaborated to make this investigation more novel and unique. The emerging flow equations for governing flow problem are formulated which are altered into non-dimensional forms. The numerical simulations with applications of Runge–Kutta fourth–order algorithm are focused to obtain the desired solution. Before analyzing the significant physical features of various parameters, the confirmation of solution is done by comparing the results with already reported investigations as limiting cases. The results are graphically elaborated with relevant physical consequences. Various plots for velocity, temperature, concentration, wall shear stress, local Nusselt number, local Sherwood number and motile density numbers are prepared.

Irreversibility analysis of variable viscosity channel flow with convective cooling at the walls

2008 ◽  
Vol 86 (2) ◽  
pp. 383-389 ◽  
Author(s):  
O D Makinde
Keyword(s):  
Variable Viscosity ◽  
Variable Temperature ◽  
Exponential Model ◽  
Approximation Technique ◽  
Bejan Number ◽  
Parallel Plates ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Thermal Criticality ◽  
Dependent Viscosity

This study investigates the inherent irreversibility in the flow of a variable (temperature-dependent) viscosity fluid through a channel with parallel plates. The channel is narrow so that the lubrication approximation may be applied, and the temperature-dependent nature of viscosity is assumed to follow an exponential model. The system is assumed to exchange heat with the ambient surroundings following Newton’s cooling law. Using a perturbation method coupled with a special type of Hermite–Padé approximation technique, the simplified governing nonlinear equations are solved and the important properties of overall flow structure, including velocity field, temperature field, and thermal criticality conditions are derived, which essentially expedite obtaining expressions for volumetric entropy generation numbers, irreversibility distribution ratio, and the Bejan number in the flow field. PACS Nos.: 44.10.+a, 47.11.–j, 47.15.gm

Perturbation solution for a third-grade fluid flowing between parallel plates

2008 ◽  
Vol 222 (4) ◽  
pp. 653-656 ◽  
Author(s):  
M Yürüsoy ◽  
M Pakdemirli ◽  
B S Yilbaş
Keyword(s):  
Viscosity Index ◽  
Third Grade ◽  
Parallel Plates ◽  
Third Grade Fluid ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Approximate Analytical Solutions ◽  
Different Temperatures ◽  
Grade Fluid ◽  
Dependent Viscosity

The flow of non-Newtonian fluid in between two parallel plates at different temperatures is considered. A third-grade fluid with temperature-dependent viscosity is considered in the analysis and the Reynolds model used to account for it. Approximate analytical solutions for the velocity and temperature profiles are found using perturbation techniques. It is found that the influence of the non-Newtonian parameter and viscosity index is more pronounced in the region of the plate surfaces where the rate of fluid strain and temperature gradients are high.

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