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Analysis of Entropy Generation Due to MHD Natural Convective Flow in an Inclined Channel in the Presence of Magnetic Field and Heat Source Effects

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Abstract

The main objective of the present paper is to investigate the entropy generation in a natural convective flow of a viscous incompressible electrically conducting fluid between two infinite non-conducting inclined parallel plates channel filled with a porous medium in the presence of transverse magnetic field and heat source. The governing non-linear partial differential equations are derived and solved analytically for velocity and temperature distribution with the help of the perturbation technique and their interpretation with physical parameters are shown through graphs. Also, the skin friction coefficient and rate of heat transfer in terms of Nusselt number are discussed numerically, and their numerical values for pertained physical parameters are presented through tables. In addition, total entropy generation rate and Bejan number due to heat transfer, fluid friction, and magnetic field are also discussed and their significance with all the pertained physical parameters are conferred through graphs. The results obtained through the present study are found a good agreement with previous research. It is perceived that an increment in the strength of the magnetic field declines the velocity of the fluid and prop-ups the rate of entropy generation. The present investigation has versatile applications in industries, engineering, and medical field, such as petroleum industries, chemical industries, metallurgy sciences, and treatment of cardiovascular disease in the medical field.

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Authors and Affiliations

  1. Manipal University Jaipur, Jaipur, Rajasthan, 303007, India

    Tarun Sharma & Pooja Sharma

  2. Indian Military Academy, Dehradun, Uttarakhand, 248007, India

    Navin Kumar

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  1. Tarun Sharma
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Correspondence to Pooja Sharma.

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Sharma, T., Sharma, P. & Kumar, N. Analysis of Entropy Generation Due to MHD Natural Convective Flow in an Inclined Channel in the Presence of Magnetic Field and Heat Source Effects. BioNanoSci. 9, 660–671 (2019). https://doi.org/10.1007/s12668-019-00632-0

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