Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (8): 1191-1204.doi: https://doi.org/10.1007/s10483-021-2753-7

• 论文 • 上一篇    下一篇

Bio-Marangoni convection flow of Casson nanoliquid through a porous medium in the presence of chemically reactive activation energy

J. K. MADHUKESH1, G. K. RAMESH2, B. C. PRASANNAKUMARA1, S. A. SHEHZAD3, F. M. ABBASI4   

  1. 1. Department of Mathematics, Davangere University, Davangere 577007, India;
    2. Department of Mathematics, K. L. E. Society's J. T. College, Gadag 582101, India;
    3. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;
    4. Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
  • 收稿日期:2021-03-23 修回日期:2021-05-17 发布日期:2021-07-28
  • 通讯作者: S. A. SHEHZAD, E-mail:ali qau70@yahoo.com

Bio-Marangoni convection flow of Casson nanoliquid through a porous medium in the presence of chemically reactive activation energy

J. K. MADHUKESH1, G. K. RAMESH2, B. C. PRASANNAKUMARA1, S. A. SHEHZAD3, F. M. ABBASI4   

  1. 1. Department of Mathematics, Davangere University, Davangere 577007, India;
    2. Department of Mathematics, K. L. E. Society's J. T. College, Gadag 582101, India;
    3. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;
    4. Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
  • Received:2021-03-23 Revised:2021-05-17 Published:2021-07-28
  • Contact: S. A. SHEHZAD, E-mail:ali qau70@yahoo.com

摘要: Bioconvection research is primarily focused on the augmentation of energy and mass species, which has implications in the processes intensification, mechanical, civil, electronics, and chemical engineering branches. Advanced bioconvection technology sectors include cooling systems for electronic devices, building insulation, and geothermal nuclear waste disposal. Hence, the present investigation is mainly discoursing the impact of Marangoni convention Casson nanoliquid flow under gyrotactic microorganisms over the porous sheet. The partial differential equations (PDEs) are re-structured into ordinary differential equations (ODEs) via suitable similar variables. These ODEs are numerically solved with the help of the spectral relaxation method (SRM). The numerical outcomes are illustrated graphically for various parameters over velocity, temperature, concentration, and bioconvection profiles. Three-dimensional (3D) views of important engineering parameters are illustrated for various parameters. The velocity of the Casson nanoliquid increases with increasing the Marangoni parameter but decreases against higher porosity parameter. The surface drag force enhances for enhancement in the Marangoni number. The rate of mass transmission is higher for reaction rate constraint but diminishes for activation energy parameter. The higher radiative values augment the rate of heat transmission.

关键词: Casson nanofluid, activation energy, thermal radiation, bioconvection, Marangoni convection

Abstract: Bioconvection research is primarily focused on the augmentation of energy and mass species, which has implications in the processes intensification, mechanical, civil, electronics, and chemical engineering branches. Advanced bioconvection technology sectors include cooling systems for electronic devices, building insulation, and geothermal nuclear waste disposal. Hence, the present investigation is mainly discoursing the impact of Marangoni convention Casson nanoliquid flow under gyrotactic microorganisms over the porous sheet. The partial differential equations (PDEs) are re-structured into ordinary differential equations (ODEs) via suitable similar variables. These ODEs are numerically solved with the help of the spectral relaxation method (SRM). The numerical outcomes are illustrated graphically for various parameters over velocity, temperature, concentration, and bioconvection profiles. Three-dimensional (3D) views of important engineering parameters are illustrated for various parameters. The velocity of the Casson nanoliquid increases with increasing the Marangoni parameter but decreases against higher porosity parameter. The surface drag force enhances for enhancement in the Marangoni number. The rate of mass transmission is higher for reaction rate constraint but diminishes for activation energy parameter. The higher radiative values augment the rate of heat transmission.

Key words: Casson nanofluid, activation energy, thermal radiation, bioconvection, Marangoni convection

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