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Entropy generation in Darcy–Forchheimer flow of nanofluid with five nanoarticles due to stretching cylinder

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Abstract

In the present paper, formulation and computations are made to investigate the flow of nanofluid past a heated stretching cylinder. Flow in porous space is specified by Darcy–Forchheimer model. Water with silver (Ag), copper (Cu), copper oxide (CuO), titanium oxide (TiO2) and aluminum oxide (Al2O3) are considered as nanofluids. Heat transport mechanism is expressed through nonlinear radiation and non-uniform heat generation/absorption. Convective condition is also utilized for heat transport phenomenon. Through implementation of second law of thermodynamics the total entropy generation is calculated. Moreover, entropy generation for fluid friction and heat transfer is discussed. This study is specially investigated for the impact of Darcy–Forchheimer relation with entropy generation subject to distinct flow parameters. Optimal homotopy algorithm computes the nonlinear strong differential systems. Plots reflecting outcomes of influential variables are examined. The obtained results indicate that entropy rate directly depends on Brinkman number, temperature difference parameter and Forchheimer number. Estimations of skin friction coefficient and heat transfer rate are also carried out. It is found that magnitude of rate of heat transfer and skin friction coefficient enhances via volume fraction of nanoparticles.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan

    Madiha Rashid & Tasawar Hayat

  2. Department of Mathematics, Faculty of Science, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, King Abdulaziz University, Jidda, 21589, Saudi Arabia

    Tasawar Hayat & Ahmed Alsaedi

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  1. Madiha Rashid
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  2. Tasawar Hayat
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  3. Ahmed Alsaedi
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Correspondence to Madiha Rashid.

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Rashid, M., Hayat, T. & Alsaedi, A. Entropy generation in Darcy–Forchheimer flow of nanofluid with five nanoarticles due to stretching cylinder. Appl Nanosci 9, 1649–1659 (2019). https://doi.org/10.1007/s13204-019-00961-2

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  • DOI: https://doi.org/10.1007/s13204-019-00961-2

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