Von Kármán rotating flow of Maxwell nanofluids featuring the Cattaneo-Christov theory with a Buongiorno model

Abstract

This research paper analyzes the transport of thermal and solutal energy in the Maxwell nanofluid flow induced above the disk which is rotating with a constant angular velocity. The significant features of thermal and solutal relaxation times of fluids are studied with a Cattaneo-Christov double diffusion theory rather than the classical Fourier’s and Fick’s laws. A novel idea of a Buongiorno nanofluid model together with the Cattaneo-Christov theory is introduced for the first time for the Maxwell fluid flow over a rotating disk. Additionally, the thermal and solutal distributions are controlled with the impacts of heat source and chemical reaction. The classical von Karman similarities are used to acquire the non-linear system of ordinary differential equations (ODEs). The analytical series solution to the governing ODEs is obtained with the well-known homotopy analysis method (HAM). The validation of results is provided with the published results by the comparison tables. The graphically presented outcomes for the physical problem reveal that the higher values of the stretching strength parameter enhance the radial velocity and decline the circumferential velocity. The increasing trend is noted for the axial velocity profile in the downward direction with the higher values of the stretching strength parameter. The higher values of the relaxation time parameters in the Cattaneo-Christov theory decrease the thermal and solutal energy transport in the flow of Maxwell nanoliquids. The higher rate of the heat transport is observed in the case of a larger thermophoretic force.