Mixed convective-radiative dissipative magnetized micropolar nanofluid flow over a stretching surface in porous media with double stratification and chemical reaction effects : ADM-Padé computation

Pattnaik, PK; Bhatti, MM; Mishra, SR; Abbas, MA; Beg, OA

Abstract

The present study deals with the electrically conducting micropolar nanofluid flow
from a vertical stretching surface adjacent to a porous medium under a transverse magnetic
field. Eringen’s micropolar model is deployed for non-Newtonian characteristics and the
Buongiorno nanofluid model employed for nanoscale effects (thermophoresis and Brownian
motion). The model includes double stratification (thermal and solutal) and also chemical
reaction effects, heat source and viscous dissipation. Darcy’s model is employed for the porous
medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. The
nonlinear governing partial differential conservation equations are rendered into nonlinear
ordinary differential equations via relevant transformations. An innovative semi-numerical
methodology combining the Adomian decomposition method (ADM) with Padé approximants
and known as ADM-Padé is deployed to solve the emerging nonlinear ordinary differential
boundary value problem with appropriate wall and free stream conditions in MATLAB
software. A detailed parametric study of the influence of key parameters on stream function,
velocity, microrotation (angular velocity), temperature and nanoparticle concentration profiles
are conducted. Furthermore, skin friction coefficient, wall couple stress coefficient, Nusselt
number and Sherwood number are displayed in tables. The validation of both numerical
techniques used i. e. ADM and ADM-Padé against a conventional numerical 4
th order Runge
Kutta method is also included and significant acceleration in convergence of solutions achieved
with the ADM-Padé approach. The flow is decelerated with greater buoyancy ratio parameter
whereas microrotation (angular velocity) is enhanced. Increasing thermal and solutal
stratification suppresses micro-rotation. Concentration magnitudes are boosted with greater
chemical reaction parameter and Lewis number. Temperatures are significantly enhanced with
radiative parameter. Increasing Brownian motion parameter depletes concentration values. The
study finds applications in thermo-magnetic coating processes involving nanomaterials with
microstructural characteristics.

Citation

Pattnaik, P., Bhatti, M., Mishra, S., Abbas, M., & Beg, O. (2022). Mixed convective-radiative dissipative magnetized micropolar nanofluid flow over a stretching surface in porous media with double stratification and chemical reaction effects : ADM-Padé computation. Journal of Mathematics, 2022, 9888379. https://doi.org/10.1155/2022/9888379

• Journal Article Type: Article
• Acceptance Date: Jan 25, 2022
• Publication Date: Feb 14, 2022
• Deposit Date: Jan 25, 2022
• Publicly Available Date: Feb 24, 2022
• Journal: Journal of Mathematics
• Print ISSN: 2314-4629
• Electronic ISSN: 2314-4785
• Publisher: Hindawi
• Volume: 2022
• Pages: 9888379
• DOI: https://doi.org/10.1155/2022/9888379
• Publisher URL: https://doi.org/10.1155/2022/9888379
• Related Public URLs: https://www.hindawi.com/journals/jmath/
• Additional Information: Additional Information : Published as part of the Special Issue 'Analytical Methods to Model Nature' (https://www.hindawi.com/journals/jmath/si/821741/)