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3D Casson nanofluid flow over slendering surface in a suspension of gyrotactic microorganisms with Cattaneo-Christov heat flux

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Abstract

A mathematical model is proposed to execute the features of the non-uniform heat source or sink in the chemically reacting magnetohydrodynamic (MHD) Casson fluid across a slendering sheet in the presence of microorganisms and Cattaneo-Christov heat flux. Multiple slips (diffusion, thermal, and momentum slips) are applied in the modeling of the heat and mass transport processes. The Runge-Kutta based shooting method is used to find the solutions. Numerical simulation is carried out for various values of the physical constraints when the Casson index parameter is positive, negative, or infinite with the aid of plots. The coefficients of the skin factors, the local Nusselt number, and the Sherwood number are estimated for different parameters, and discussed for engineering interest. It is found that the gyrotactic microorganisms are greatly encouraged when the dimensionless parameters increase, especially when the Casson fluid parameter is negative. It is worth mentioning that the velocity profiles when the Casson fluid parameter is positive are higher than those when the Casson fluid parameter is negative or infinite, whereas the temperature and concentration fields show exactly opposite phenomena.

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Authors and Affiliations

  1. Department of Mathematics, SPMVV University, Tirupati, 517502, India

    V. Nagendramma & A. Leelarathnam

  2. Department of Mathematics, GITAM University, Bangalore, 562163, India

    C. S. K. Raju

  3. Department of Mathematics, BMS College of Engineering, Bangalore, 560019, India

    B. Mallikarjuna

  4. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, 57000, Pakistan

    S. A. Shehzad

Authors
  1. V. Nagendramma
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  2. C. S. K. Raju
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  3. B. Mallikarjuna
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  4. S. A. Shehzad
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  5. A. Leelarathnam
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Correspondence to S. A. Shehzad.

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Nagendramma, V., Raju, C.S.K., Mallikarjuna, B. et al. 3D Casson nanofluid flow over slendering surface in a suspension of gyrotactic microorganisms with Cattaneo-Christov heat flux. Appl. Math. Mech.-Engl. Ed. 39, 623–638 (2018). https://doi.org/10.1007/s10483-018-2331-6

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  • DOI: https://doi.org/10.1007/s10483-018-2331-6

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