Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method
Open Access
- 24 February 2023
- journal article
- research article
- Published by Hindawi Limited in Advances in Mathematical Physics
- Vol. 2023, 1-16
- https://doi.org/10.1155/2023/5283475
Abstract
The present analysis is aimed at examining MHD micropolar nanofluid flow past a radially stretchable rotating disk with the Cattaneo-Christov non-Fourier heat and non-Fick mass flux model. To begin with, the model is developed in the form of nonlinear partial differential equations (PDEs) for momentum, microrotation, thermal, and concentration with their boundary conditions. Employing suitable similarity transformation, the boundary layer micropolar nanofluid flows governing these PDEs are transformed into large systems of dimensionless coupled nonlinear ordinary differential equations (ODEs). These dimensionless ODEs are solved numerically by means of the spectral local linearization method (SLLM). The consequences of more noticeable involved parameters on different flow fields and engineering quantities of interest are thoroughly inspected, and the results are presented via graph plots and tables. The obtained results confirm that SLLM is a stable, accurate, convergent, and computationally very efficient method to solve a large coupled system of equations. The radial velocity grows while the tangential velocity, temperature, and concentration distributions turn down as the value of the radial stretching parameter improves, and hence, in practical applications, radial stretching of the disk is helpful to advance the cooling process of the rotating disk. The occurrence of microrotation viscosity in microrotation parameters () declines the radial velocity profile, and the kinetic energy of the fluid is reduced to some extent far away from the surface of the disk. The novelty of the study is the consideration of microscopic effects occurring from the micropolar fluid elements such as micromotion and couple stress, the effects of non-Fourier’s heat and non-Fick’s mass flux, and the effect of radial stretching disk on micropolar nanofluid flow, heat, and mass transfer.Keywords
This publication has 54 references indexed in Scilit:
- Radiation effects on the thermal boundary layer flow over a moving plate with convective boundary conditionMeccanica, 2010
- On frame indifferent formulation of the Maxwell–Cattaneo model of finite-speed heat conductionMechanics Research Communications, 2008
- Fundamental solutions for micropolar fluidsJournal of Engineering Mathematics, 2007
- Laminar free convection flow of micropolar fluids from a curved surfaceJournal of Physics D: Applied Physics, 1995
- Applications of microcontinuum fluid mechanicsInternational Journal of Engineering Science, 1974
- Microcontinuum fluid mechanics—A reviewInternational Journal of Engineering Science, 1973
- Theory of thermomicrofluidsJournal of Mathematical Analysis and Applications, 1972
- Boundary layers in micropolar liquidsMathematical Proceedings of the Cambridge Philosophical Society, 1970
- Theory of Micropolar FluidsIndiana University Mathematics Journal, 1966
- Über laminare und turbulente ReibungZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1921