Abstract

In this paper, impacts of magnetic field and porosity on the entropy generation of sodium-alginate (C6H9NaO7) fluid are studied. C6H9NaO7 is taken over a moving and heated vertical wall. Heat transfer is due to free convection. Initially, the problem is formulated in the form of PDEs along with physical conditions and then written in non-dimensional form. Problem is solved via Laplace transform and expression in analytical form is established for temperature and velocity field. The related relations for entropy generation and Bejan number and entropy generation are also examined. Nusselt number and Skin-friction are calculated and plotted in graphs. For numerical computations, a finite difference scheme is used using MATLAB software. The results in tables and graphs are discussed for embedded parameters. It is found that the magnetic field and porosity have strong influence on velocity, entropy generation and Bejan number. For greater Hartman number, entropy generation magnitude is greater compared to the Bejan number, conversely, this variation in Bejan number is more efficient. The porosity effect showed that if the medium is more porous, the entropy generation can decreases 50% when porosity increase from Ka = 1 to Ka = 2, however the Bejan number increases.

Highlights

  • In this paper, impacts of magnetic field and porosity on the entropy generation of sodium-alginate ­(C6H9NaO7) fluid are studied. ­C6H9NaO7 is taken over a moving and heated vertical wall

  • The phenomenon of heat transfer through a chemically reacting fluid, friction, and mixing a finite temperature are the factors of irreversibility in a system which is called as entropy generation (EG)

  • The effects of MHD and porosity are studied on the entropy generation analysis of sodium-alginate (C6H9NaO7) fluid

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Summary

The dimensionless temperature function

The study in this article covers many implementations in nanotechnology, electrical and biomedicine, biotechnology, drug distribution, chemotherapy, food manufacturing, and numerous industries. Rashidi et al.[10] discussed the analysis of (EG) in a study MHD flow through a rotating disk with porous medium using the second law of thermodynamics. They mentioned that MHD flow has numerous applications in MHD energy generators and is used in the conversion mechanism for space vehicles. Rashidi et al.[43] investigate the effect of height and roughness geometry on the condensation proprieties in rough and smooth nanochannels, their results show that when the roughness height increases the flow is more affected by condensation To overcome this exertion, entropy generation plays a prominent role in dissecting such situations. Equations for Bejan number and entropy generation are first developed in outcomes are calculated numerically using finite difference scheme and assessed

Problem descriptions
Egen ν
Exact solutions through Laplace transform scheme
Ka β
Concluding findings
Additional information
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