The Properties of the Physical Parameters in the Triple Diffusive Fluid Flow Model

Authors

  • Siti Suzilliana Putri Mohamed Isa Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
  • Nanthini Balakrishnan Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
  • Kartini Ahmad Department of Science in Engineering, Kuliyyah of Engineering, International Islamic University Malaysia, 50728 Gombak, Kuala Lumpur, Malaysia
  • Norihan Md. Arifin Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
  • Fadzilah Md Ali Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

DOI:

https://doi.org/10.37934/cfdl.16.11.133145

Keywords:

Local Nusselt number, local Sherwood number, triple diffusive

Abstract

The existence of more than one diffusive component in fluid mixtures is observed in these situations: underground water flow, the mechanism of acid rain, the existence of contaminant in some certain mixture, etc. These diffusive components are occurred with the single temperature gradient (since all of the elements are dissolved into the same mixture) and 2 types of concentration gradients (since the dual diffusive components are dissolved in the same mixture). Besides, many industrial and engineering processes are utilizing the concept of convective fluid flow especially over a shrinking sheet. Therefore, a mathematical model for triple-diffusive flow over a nonlinear compressing sheet has been developed in this paper, and subjected to the Soret-Dufour effects. The model comprises of five initial equations namely continuity, momentum, energy, concentration of component 1 and concentration of component 2 equations, together with boundary conditions. These initial equations are expressed as partial differential equations. However, the finalized equations are in the form of ordinary differential equations. Later, the bvp4c programme provided by the Matlab Software is used to solve the ordinary differential equations and the boundary conditions. Three distinct values of each governing parameter are fixed into the bvp4c function, to observe the behaviour of the physical parameters, namely as local Nusselt number and local Sherwood number. The main finding of the dual numerical solutions varies for increasing governing parameters until they intersect at the critical points. In conclusion, the governing parameters affects the heat and mass transfer of the fluid flow model model.

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Author Biographies

Siti Suzilliana Putri Mohamed Isa, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

ctsuzilliana@upm.edu.my

Nanthini Balakrishnan, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

nanthinibalakrishnan53@gmail.com

Kartini Ahmad, Department of Science in Engineering, Kuliyyah of Engineering, International Islamic University Malaysia, 50728 Gombak, Kuala Lumpur, Malaysia

kartini@iium.edu.my

Norihan Md. Arifin, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

norihana@upm.edu.my

Fadzilah Md Ali, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

fadzilahma@upm.edu.my

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Published

2024-06-30

How to Cite

Siti Suzilliana Putri Mohamed Isa, Nanthini Balakrishnan, Kartini Ahmad, Norihan Md. Arifin, & Fadzilah Md Ali. (2024). The Properties of the Physical Parameters in the Triple Diffusive Fluid Flow Model. CFD Letters, 16(11), 133–145. https://doi.org/10.37934/cfdl.16.11.133145

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