Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model

Complexity 2021:1-15 (2021)
  Copy   BIBTEX

Abstract

The 3D Prandtl fluid flow through a bidirectional extending surface is analytically investigated. Cattaneo–Christov fluid model is employed to govern the heat and mass flux during fluid motion. The Prandtl fluid motion is mathematically modeled using the law of conservations of mass, momentum, and energy. The set of coupled nonlinear PDEs is converted to ODEs by employing appropriate similarity relations. The system of coupled ODEs is analytically solved using the well-established mathematical technique of HAM. The impacts of various physical parameters over the fluid state variables are investigated by displaying their corresponding plots. The augmenting Prandtl parameter enhances the fluid velocity and reduces the temperature and concentration of the fluid. The momentum boundary layer boosts while the thermal boundary layer mitigates with the rising elastic parameter strength. Furthermore, the enhancing thermal relaxation parameter ) reduces the temperature distribution, whereas the augmenting concentration parameter drops the strength of the concentration profile. The increasing Prandtl parameter declines the fluid temperature while the augmenting Schmidt number drops the fluid concentration. The comparison of the HAM technique with the numerical solution shows an excellent agreement and hence ascertains the accuracy of the applied analytical technique. This work finds applications in numerous fields involving the flow of non-Newtonian fluids.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,709

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Applying models in fluid dynamics.Michael Heidelberger - 2006 - International Studies in the Philosophy of Science 20 (1):49 – 67.
Darcy's Law and Structural Explanation in Hydrology.James R. Hofmann & Paul A. Hofmann - 1992 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:23 - 35.
Airborne measurements of the total heat flux from the sea surface: Progress report.Ed Mc Alister - 1968 - In Peter Koestenbaum (ed.), Proceedings. [San Jose? Calif.,: [San Jose? Calif..
Applying Science and Applied Science: What’s the Difference?Margaret Morrison - 2006 - International Studies in the Philosophy of Science 20 (1):81 – 91.
Heat flow in relativistic equilibrium thermodynamics.Peter L. Kellerman - 1980 - Foundations of Physics 10 (1-2):163-173.

Analytics

Added to PP
2021-12-08

Downloads
9 (#1,249,590)

6 months
6 (#510,793)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

No citations found.

Add more citations