Numerical and correlation analysis for flow of micropolar fluid induced by two rotating disks

• Published in: Chinese journal of physics (Taipei) 2023-06, Vol.83, p.147-164
• Main Authors: Rauf, A., Sahar, N., Siddiq, M.K., Mustafa, F., Mushtaq, T., Shehzad, S.A.
• Format: Article
• Language: English
• Subjects: Bayesian method; Micropolar fluid; Numerical solution; Stretchable rotating disks; Three-dimensional flow
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2023.02.012

•Time-independent flow of micropolar fluid between parallel disks is investigated.•The fluid motion is produced by stretching and rotation of the two disks.•The couple stresses and shear stresses at both disks are computed.•Bayesian technique is used to determine the correlation between variables and the physical quantities. We considered three-dimensional, laminar, incompressible, and time-independent flow of micropolar fluid between two parallel disks. The fluid motion is produced by stretching and rotation of the two disks. The disks have been considered in the planes z=0 and z=h, which means that they are separated by a distance h. Similarity transformations are first accomplished to non-Newtonian fluid flow model in order to obtain the system of ordinary non-linear differential equation, which then solved by Runge-Kutta-Fehlberg (RKF-45) method. The graphical results on velocity and microrotational fields are plotted against the dimensionless physical parameters. The couple stresses and shear stresses at both disks are computed for selected flow parameters and are elaborated through tabular format. Bayesian technique is used to determine the correlation between variables and the physical quantities. Multi-purpose graphs are sketched to demonstrate the strength and direction of association among the variables. It is established that the microrotational curves along tangential direction are first reduced in the left half plane and then enhanced in the right half plane of the central region against the increased vortex viscosity parameter. The magnitude of the couple stresses along radial and tangential direction are modified at the surface of the upper and lower disk for the increased values of the microinertia inertial density parameter, while these couple stresses are reduced due to the incrementing values of the spin gradient viscosity parameter. Moreover, a special case of viscous fluid flow is also retrieved in the absence of micropolar parameter. [Display omitted]