Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (2): 307-324.doi: https://doi.org/10.1007/s10483-023-2956-6

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Thermo-diffusion impact on immiscible flow characteristics of convectively heated vertical two-layered Baffle saturated porous channels in a suspension of nanoparticles: an analytical study

S. P. V. ANANTH1, B. N. HANUMAGOWDA1, S. V. K. VARMA1, C. S. K. RAJU2, I. KHAN3, P. RANA4   

  1. 1. Department of Mathematics, School of Applied Sciences, REVA University, Bangalore 560064, India;
    2. Department of Mathematics, GITAM School of Science, GITAM University, Bangalore 562163, India;
    3. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia;
    4. School of Mathematical Sciences, College of Science and Technology, Wenzhou-Kean University, Wenzhou 325060, Zhejiang Province, China
  • 收稿日期:2022-07-25 修回日期:2022-11-08 发布日期:2023-02-04
  • 通讯作者: P. RANA, E-mail: prana@kean.edu

Thermo-diffusion impact on immiscible flow characteristics of convectively heated vertical two-layered Baffle saturated porous channels in a suspension of nanoparticles: an analytical study

S. P. V. ANANTH1, B. N. HANUMAGOWDA1, S. V. K. VARMA1, C. S. K. RAJU2, I. KHAN3, P. RANA4   

  1. 1. Department of Mathematics, School of Applied Sciences, REVA University, Bangalore 560064, India;
    2. Department of Mathematics, GITAM School of Science, GITAM University, Bangalore 562163, India;
    3. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia;
    4. School of Mathematical Sciences, College of Science and Technology, Wenzhou-Kean University, Wenzhou 325060, Zhejiang Province, China
  • Received:2022-07-25 Revised:2022-11-08 Published:2023-02-04
  • Contact: P. RANA, E-mail: prana@kean.edu

摘要: The heat and mass transfer of two immiscible fluids in an inclined channel with thermal diffusion, vicious, and Darcy dissipation is studied. The first region consists of a clear fluid, and the second one is filled with a nanofluid saturated with a porous medium. The behaviors of Cu-H2O, In-H2O, and Au-H2O nanofluids are analyzed. The transport properties are assumed to be constant. The coupled non-linear equations of the flow model are transformed into the dimensionless form, and the solutions for the velocity, temperature, and concentration are obtained by the regular perturbation technique. Investigations are carried out on the flow characteristics for various values of the material parameters. The results show that the velocity and temperature of the fluids enhance with the thermal Grashof number, solutal Grashof number, and Brinkman number while decrease with the porosity parameter and solid volume fraction.

关键词: viscous fluid, nanofluid, heat and mass transfer, thermal diffusion

Abstract: The heat and mass transfer of two immiscible fluids in an inclined channel with thermal diffusion, vicious, and Darcy dissipation is studied. The first region consists of a clear fluid, and the second one is filled with a nanofluid saturated with a porous medium. The behaviors of Cu-H2O, In-H2O, and Au-H2O nanofluids are analyzed. The transport properties are assumed to be constant. The coupled non-linear equations of the flow model are transformed into the dimensionless form, and the solutions for the velocity, temperature, and concentration are obtained by the regular perturbation technique. Investigations are carried out on the flow characteristics for various values of the material parameters. The results show that the velocity and temperature of the fluids enhance with the thermal Grashof number, solutal Grashof number, and Brinkman number while decrease with the porosity parameter and solid volume fraction.

Key words: viscous fluid, nanofluid, heat and mass transfer, thermal diffusion

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