Three-dimensional rotatory micropolar fluid flow between two stretchable disks with Maxwell–Cattaneo law

• Published in: Journal of thermal analysis and calorimetry Vol. 149; no. 1; pp. 425 - 438
• Main Authors: Shehzad, S. A., Rauf, A., Mushtaq, T., Alahmadi, H.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 2024; Springer Nature B.V
• Subjects: Analytical Chemistry; Angular momentum; Chemistry; Chemistry and Materials Science; Flow visualization; Fluid flow; Heat transfer; Heat transmission; Incompressible flow; Inorganic Chemistry; Measurement Science and Instrumentation; Micropolar fluids; Parameters; Physical Chemistry; Polymer Sciences; Relaxation time; Rotating disks; Runge-Kutta method; Shear stress; Stresses; Temperature distribution; Thermal relaxation; Three dimensional flow; Velocity distribution; Viscous fluids; Maxwell–Cattaneo law; Rotating stretchable disks; Numerical solution; Three-dimensional flow; Micropolar fluid
• ISSN: 1388-6150; 1588-2926
• DOI: 10.1007/s10973-023-12673-5

An incompressible, steady-state, and three-dimensional rotatory micropolar fluid confined by the parallel co-axial disks is examined. The fluid motion is triggered by the two rotating stretchable disks. The heat transfer aspects in flow scenario are incorporated through Maxwell–Cattaneo law. The system of coupled momentum, angular momentum, and energy equations is first normalized in accordance with similarity variables and then is solved through numerical based built-in software using Runge–Kutta–Fehlberg (RKF-45) procedure. The nature of obtained physical constraints are reported on microrotation, temperature and velocity profiles. Three-dimensional flow configurations along with their respective contours are plotted against the engineering quantities for better flow visualization. Shear stresses, couple stresses, and heat transmission rate at the surfaces of higher and below disks are computed for the selected dimensionless quantities values. It is perceived that the influx flow along radial direction shifts toward faster moving disk for larger values of stretching parameters. The rotational effect of fluid elements along tangential direction is observed against the combined influence of micropolar parameters. The temperature field is reduced in the left half of the central plane while it is enhanced in the right half of the central region for increased values of the thermal relaxation time parameter. The results are also presented and compared well with published literature in limiting case of the Newtonian/viscous fluid flow.