The source terms in the temperature equation will thus decrease in magnitude, whereas those in the velocity equation become less negative. This explains the slight decreases noticed in the fluid temperature, Figure 9 b , as well as the slight increases in the fluid velocity, Figure 9 a.
In particular, the behavior of the velocity and temperature with respect to certain parameters can be summarized in terms of the behavior of their respective gradients.
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The results of the current density similarly reflect the corresponding results on parameter dependence as shown in Figure In this section, we plot the entropy generation rate N s across the channel under varying parameter conditions. In particular, parameters that increase the velocity and temperature gradients also increase the entropy generation rate and vice versa. In this section, we plot the Bejan number Be across the channel under varying parameter conditions.
The analysis in this section is similar to that for the previous section with N s now replaced by Be. In the vicinity of the walls, the strength of the fluid parameters will determine which mode of irreversibility dominates over the other.
We computationally investigate the inherent irreversibility in an unsteady hydromagnetic generalized Couette flow with variable electrical conductivity in the presence of induced electric field. We also notice that, due to the nature of the source terms, the fluid velocity and temperature will each decrease resp. We have also demonstrated computationally that parameters which increase the entropy generation rate will correspondingly decrease the Bejan number and vice versa.
National Center for Biotechnology Information , U. Journal List ScientificWorldJournal v. Published online Jul Makinde 2. Author information Article notes Copyright and License information Disclaimer. Chinyoka: ude. Received May 12; Accepted Jun Chinyoka and O. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This article has been cited by other articles in PMC. Abstract The thermodynamic second law analysis is utilized to investigate the inherent irreversibility in an unsteady hydromagnetic generalized Couette flow with variable electrical conductivity in the presence of induced electric field. Introduction Investigation of the flow of electrically conducting fluids in porous geometries is of particular importance due to the widespread prevalence in a number of industrial applications [ 1 — 4 ].
Mathematical Model The unsteady hydromagnetic generalized Couette flow of a viscous conducting incompressible fluid is considered in the presence of an imposed transverse magnetic field of strength B 0 taking into account the induced electric field E z. Open in a separate window. Figure 1. Entropy Analysis Hydromagnetic generalized Couette flow is inherently irreversible. Numerical Solution Our numerical algorithm is based on semi-implicit finite difference schemes [ 14 — 19 ].
Figure 2. Parameter Dependence of Solutions The response of the velocity and temperature to varying values of the Prandtl number Pr is illustrated in Figure 3. Figure 3. Figure 4. Figure 5.
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Figure 6. Figure 7. Figure 8. Figure 9. Figure Entropy Generation In this section, we plot the entropy generation rate N s across the channel under varying parameter conditions.
The Bejan Number In this section, we plot the Bejan number Be across the channel under varying parameter conditions. Conclusion We computationally investigate the inherent irreversibility in an unsteady hydromagnetic generalized Couette flow with variable electrical conductivity in the presence of induced electric field.
References 1. Moreau R. Hartmann J, Lazarus F. Hg-dynamics I. Theory of the laminar flow of an electrically conductive liquid in a homogeneous magnetic field. Kongelige Danske Videnskabernes Selskab.
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Matematisk-Fysiske Meddelelser. Bejan A. Second-law analysis in heat transfer and thermal design. Advances in Heat Transfer. Entropy Genaration Minimization.
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A numerical study of MHD generalized Couette flow and heat transfer with variable viscosity and electrical conductivity. Journal of Magnetism and Magnetic Materials. Entropy generation due to laminar incompressible forced convection flow through parallel-plates microchannel. Makinde OD, Aziz A. Second law analysis for a variable viscosity plane Poiseuille flow with asymmetric convective cooling. Computers and Mathematics with Applications. Makinde OD.
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Thermodynamic second law analysis for a gravity-driven variable viscosity liquid film along an inclined heated plate with convective cooling. Journal of Mechanical Science and Technology. Entropy generation in laminar fluid flow through a circular pipe.
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Entropy production analysis of swirling diffusion combustion processes
Wood LC. Thermodynamics of Fluid Systems. Chinyoka T. Computational dynamics of a thermally decomposable viscoelastic lubricant under shear. Journal of Fluids Engineering. Chinyoka T, Makinde OD. Introducing swirling air into the combustion system and operations with the appropriate Boltzmann number reduces the irreversibility affected regions and improves energy utilization efficiency. Unable to display preview. Download preview PDF. Skip to main content. Advertisement Hide. Entropy production analysis of swirling diffusion combustion processes. Research Article First Online: 29 August This is a preview of subscription content, log in to check access.
Bejan A. New York: Wiley, Google Scholar.
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Som S K, Datta A. Thermodynamic irreversibilities and exergy balance in combustion processes. Datta A. Effects of gravity on structure and entropy generation of confined laminar diffusion flames. Analysis of entropy generation and exergy loss during combustion.