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Entropy optimization for peristalsis of Rabinowitsch nanomaterial

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Abstract

This work models new formulation for peristaltic activity of Rabinowitsch material in a compliant walls channel. Energy equation is accounted in the presence of viscous dissipation and heat source/sink. Chemical reaction is included in concentration expression. Nanomaterial characteristics are due to Brownian motion and thermophoresis. Slip condition is utilized for velocity, temperature and concentration. Exact solution is obtained for velocity. Further NDSolve is utilized for the graphical analysis of temperature, concentration, entropy and heat transfer coefficient at the wall. Results are also analyzed for viscous, shear thickening and shear thinning fluids. This study reveals the results that the shear thinning fluids move with greater velocity than the viscous and shear thickening fluids. Similarly, temperature and entropy generation also has higher values for shear thinning case when compared with others. Further heat source parameter enhances the temperature, whereas sink parameter leads to decay. Slip parameter for velocity and temperature caused an increase in the respective velocity and temperature. Moreover, chemical reaction parameter leads to enhancement in temperature and entropy generation in case of viscous, shear thickening and shear thinning fluids. However, shear thinning fluids are found prominent.

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Authors and Affiliations

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

    Tasawar Hayat & Sadaf Nawaz

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

    Tasawar Hayat & Ahmed Alsaedi

  3. Department of Information Systems, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Habib M. Fardoun

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  1. Tasawar Hayat
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  2. Sadaf Nawaz
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Correspondence to Sadaf Nawaz.

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Hayat, T., Nawaz, S., Alsaedi, A. et al. Entropy optimization for peristalsis of Rabinowitsch nanomaterial. Appl Nanosci 10, 4177–4190 (2020). https://doi.org/10.1007/s13204-020-01535-3

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