scholarly journals Applications of temperature dependent viscosity for Cattaneo–Christov bioconvection flow of couple stress nanofluid over oscillatory stretching surface: A generalized thermal model

2021 ◽  
Vol 28 ◽  
pp. 101412
Author(s):  
Rana Alabdan ◽  
Sami Ullah Khan ◽  
Abdel-Rahman Al-Qawasmi ◽  
Ali Vakkar ◽  
Iskander Tlili
Author(s):  
Yun-Xiang Li ◽  
Sami Ullah Khan ◽  
Faqir Shah ◽  
Hassan Waqas ◽  
M. Ijaz Khan ◽  
...  

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.


Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 647 ◽  
Author(s):  
Rahmat Ellahi ◽  
Ahmed Zeeshan ◽  
Farooq Hussain ◽  
Tehseen Abbas

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.


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