An investigation of mixed convection flow on a vertical flat plate of a saturated nanofluid in a porous medium near the stagnation point

Document Type : Research Article

Author

Department of Mechanical Engineering, Payame Noor University, Tehran, Iran.

Abstract

In the present paper, a non-similar solution of a steady saturated nanofluid flow, heat, and mass transfer is investigated. The nanofluid flow is under dual effects of stagnation flow and natural convection heat transfer on a vertical flat plate in a porous medium. Effects of variations in thermophoresis, Brownian motion, and buoyancy force have been studied. The partial differential equations are transformed into six ordinary differential equations with appropriate non-similarity variables, which also consider the longitudinal coordinate of the x-axis. In order to solve, we have formed a set of fourteen ordinary differential equations of the first order. A complicated double method finds six unknown initial values in the boundary value problem. Variations of longitudinal velocity, shear stress, temperature, and nanoparticle volume fraction are considered as functions of transverse and longitudinal coordinates. As a result, the minimum accuracy of the first-order non-similar solution in regions very close to the stagnation point is 96%. Also, the velocity profile is observed to vary along the longitudinal x-axis near the stagnation point, which is an improvement over the existing knowledge which largely assumes a constant velocity profile throughout the stagnant flow region.

Keywords

Main Subjects

References

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Scientia Iranica
Volume 32, Issue 6
Transactions on Mechanical Engineering
March and April 2025 Article ID:6991

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  • Receive Date: 13 July 2022
  • Revise Date: 23 September 2023
  • Accept Date: 27 November 2023

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