Entropy Generation Analysis of the MHD Flow of Couple Stress Fluid between Two Concentric Rotating Cylinders with Porous Lining

2017 ◽  
Vol 46 (4) ◽  
pp. 316-330 ◽  
Author(s):  
G. Nagaraju ◽  
J. Srinivas ◽  
J.V. Ramana Murthy ◽  
A.M. Rashad
Author(s):  
K. Gangadhar ◽  
P. Manasa Seshakumari ◽  
M. Venkata Subba Rao ◽  
Ali J. Chamkha

In the present study, the physical features of the bioconvective MHD flow of a couple stress fluid over an upper horizontal surface (i.e. surface shaped like a submarine or any ( uhsp) aerodynamical automobile) is analysed by considering radiation and viscous dissipation effects. In the fluid-saturated domain flow is induced due to the reaction of catalytic surface, double diffusion and stretching fluid layers. In fact, couple stress fluid is electrically conducted because non-uniform magnetic field is imposed. With the assistance of appropriate similarity transformations governing equations of the study are reduced to set of ordinary differential equations. Thereafter, built-in MATLAB solver bvp4c is implemented to solve the system numerically. By means of graphs and tables variations of the velocity, temperature, concentration, friction factor, local heat and mass transfer rates are observed thoroughly by varying the flow controlling parameters. From this analysis, main observations are, for rising values of couple stress and magnetic parameter velocity is decline, whereas temperature rises for the same parameters and increase in the thermal boundary layer is noted for the Brinkman number, whereas reverse trend is noted in the concentration boundary layer. Finally, comparison is done and a good correlation is identified between the present analysis and perversely recorded analysis.


Author(s):  
Nilankush Acharya ◽  
Hiranmoy Mondal ◽  
Prabir Kumar Kundu

The present literature illustrates the radiative couple stress fluid runs over a permeable stretched cylinder. The problem has been modelled mathematically introducing the mixed convective condition and magnetic effect. Additionally, the analysis of entropy generation provides the fine points of the flow. The leading PDE equations of the system have been framed non-dimensionally using proper transformation. The resulting ODEs are tackled using by Spectral quasi-linearization method (SQLM). A convergence schematic was obtained graphically. Consequence of various parameters on the flow features has been delivered via graphs and tables. Result signifies that Bejan number declines due to magnetic source. The entropy generation escalates for magnetic parameter, Reynolds number, but couple stress factor discloses the dual effect. The couple stress parameter allows Nusselt number to reduce at the rate 19.05%, whereas heat transport enhances for radiation at the rate 1.67%. Skin friction enhances for couple stress factor at the rate 8.45%.


2016 ◽  
Vol 24 (1) ◽  
pp. 125-129 ◽  
Author(s):  
Najeeb Alam Khan ◽  
Hassam Khan ◽  
Syed Anwar Ali

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Muhammad Arif ◽  
Poom Kumam ◽  
Wiyada Kumam ◽  
Ali Akgul ◽  
Thana Sutthibutpong

AbstractFractal-fractional derivative is a new class of fractional derivative with power Law kernel which has many applications in real world problems. This operator is used for the first time in such kind of fluid flow. The big advantage of this operator is that one can formulate models describing much better the systems with memory effects. Furthermore, in real world there are many problems where it is necessary to know that how much information the system carries. To explain the memory in a system fractal-fractional derivatives with power law kernel is analyzed in the present work. Keeping these motivation in mind in the present paper new concept of fractal-fractional derivative for the modeling of couple stress fluid (CSF) with the combined effect of heat and mass transfer have been used. The magnetohydrodynamics (MHD) flow of CSF is taken in channel with porous media in the presence of external pressure. The constant motion of the left plate generates the CSF motion while the right plate is kept stationary. The non-dimensional fractal-fractional model of couple stress fluid in Riemann–Liouville sense with power law is solved numerically by using the implicit finite difference method. The obtained solutions for the present problem have been shown through graphs. The effects of various parameters are shown through graphs on velocity, temperature and concentration fields. The velocity, temperature and concentration profiles of the MHD CSF in channel with porous media decreases for the greater values of both fractional parameter $$\alpha$$ α and fractal parameter $$\beta$$ β respectively. From the graphical results it can be noticed that the fractal-fractional solutions are more general as compared to classical and fractional solutions of CSF motion in channel. Furthermore, the fractal-fractional model of CSF explains good memory effect on the dynamics of couple stress fluid in channel as compared to fractional model of CSF. Finally, the skin friction, Nusselt number and Sherwood number are evaluated and presented in tabular form.


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