Numerical calculation of unsteady MHD nanofluid flow across two fluctuating discs with chemical reaction and zero mass flux

Author:

Alqahtani Aisha M.1,Bilal Muhammad2ORCID,Ali Aatif3ORCID,Khalifa Hamiden Abd El‐Wahed45,Alqahtani Haifa6

Affiliation:

1. Department of mathematical sciences College of Science Princess Nourah bint Abdulrahman University Riyadh Saudi Arabia

2. Sheikh Taimur Academic Block‐II Department of Mathematics University of Peshawar Khyber Pakhtunkhwa Pakistan

3. School of Mathematical Sciences Jiangsu University Zhenjiang China

4. Department of Mathematics College of Science and Arts Qassim University Al‐Badaya Saudi Arabia

5. Department of Operations and Management Research Faculty of Graduate Studies for Statistical Research Cairo University Giza Egypt

6. Department of Statistics and Business Analytics United Arab Emirates University Al Ain UAE

Abstract

AbstractThe fluid flow across spinning discs has several applications in different fields of engineering such as flywheels, gas turbine engines, brakes, and gears. The significance of heat source, Hall current, and magnetic field on the nanofluid flow between two spinning disks is studied in the present analysis. The upper disk spins as well as rotates, which generates the 3D flow. The evaluation and modeling of the mass density, flow motion, and energy transfer are performed using a system of partial differential equations (PDEs). The computational technique parametric continuation method (PCM) is employed to solve the modeled equations. The outcomes are relatively compared to the published literature for validity purposes. It has been noticed that during the downward motion of the upper disc, the effect of the magnetic field declines, while the influence of the hall current improves the velocity field. The temperature field rises with the ascending motion of the upper disk, whereas it shrinks with the downhill oscillation. Moreover, the mass diffusion ratio develops with the impact of hall current, while lessens with the influence of chemical reaction.

Publisher

Wiley

Subject

Applied Mathematics,Computational Mechanics

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