Double-diffusive Cattaneo-Christov squeezing flow of micropolar fluid

An incompressible magnetized flow of micropolar fluid is confined between two disks. The lower disk is stationary, while the upper disk moves in upward and downward direction. Modified formations of Fourier's law of heat conduction and Fick's law, namely double-diffusive Cattaneo-Christov theories, are accomplished in energy and mass equations, respectively. Similarity variables are implemented to reduce the set of partial differential equations into system of ordinary differential equations. MATLAB-built bvp4c method is executed in order to acquire the numerical results in tabular and descriptive forms. In fact, micropolar fluid model is the extension of Navier-Stokes theory that covers the microrotation and spinning inertia effects of microelements. Weak and strong interactions of microelements are examined with uniform injection/suction at surface of lower fixed porous disk. Special case of fluid particles with zero microrotation is also inspected via pictorial form and tabulated values. The results specified that the microrotation effects of fluid particles reduce the shear stresses, while couple stresses are enhanced by microrotational impact. The imposed injection tends to rotate the fluid particles in reverse direction. The time derivative in constitutive relation of Cattaneo-Christov model overcomes Fourier's law deficiency and converts the heat conduction equation into damped hyperbolic form. Thermal and concentration relaxation time parameters appear due to double-diffusive theory results in the modification of temperature and concentration fields, respectively.

Automated summary

An incompressible magnetized micropolar fluid flow confined between two disks is studied, considering the effects of microrotation and spinning inertia of microelements. The equations are modified using double-diffusive Cattaneo-Christov theories, reducing the set of partial differential equations into system of ordinary differential equations, solved using MATLAB. Results show that microrotation affects shear stresses and couple stresses of fluid particles, while injection tends to rotate particles in reverse direction.