The Casson Dusty Nanofluid: Significance of Darcy–Forchheimer Law, Magnetic Field, and Non-Fourier Heat Flux Model Subject to Stretch Surface

Saif Ur Rehman, Nageen Fatima, Bagh Ali, Muhammad Imran, Liaqat Ali, Nehad Ali Shah () and Jae Dong Chung
Additional contact information
Saif Ur Rehman: Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
Nageen Fatima: Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
Bagh Ali: Faculty of Computer Science and Information Technology, Superior University, Lahore 54000, Pakistan
Muhammad Imran: Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Liaqat Ali: School of Sciences, Xi’an Technological University, Xi’an 710021, China
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
Jae Dong Chung: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea

Mathematics, 2022, vol. 10, issue 16, 1-14

Abstract: This work aims to offer a mathematical model for two-phase flow that investigates the interaction of Casson nanofluid and dust particles across a stretching surface. MHD Darcy–Forchheimer porous medium and Fourier’s law through Cattaneo–Christove thermal flux are also considered. The governing equations for the two phases model are partial differential equations later transmuted into ordinary ones via similarity transforms. The Runge–Kutta method with the shooting tool is utilized numerically to solve the boundary layer equations computed in MATLAB to obtain numerical results for various pertinent parameters. The numerical outcomes of momentum, temperature, and concentration distribution are visible for both phases. The results of the skin friction, heat transfer coefficients, and the Sherwood number are also visible in the graphs. Furthermore, by comparing the current findings to the existing literature, the validity of the results is confirmed and found to be in good agreement. The fluid velocity is reduced against increasing strength of Casson fluid parameter, enhanced the fluid phase and dust phase fluid temperature. The temperature declines against the growing values of the relaxation time parameter in both phases. Dusty fluids are used in various engineering and manufacturing sectors, including petroleum transportation, car smoke emissions, power plant pipes, and caustic granules in mining.

Keywords: dust particles; Casson fluid; nanofluid; MHD; Darcy–Forchheimer porous medium; Cattaneo–Christove heat flux (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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