Investigation of generalized Fick's and Fourier's laws in the second-grade fluid flow

doi:10.1007/s10483-018-2390-6

Abstract

Abstract: The second-grade fluid flow due to a rotating porous stretchable disk is modeled and analyzed. A porous medium is characterized by the Darcy relation. The heat and mass transport are characterized through Cattaneo-Christov double diffusions. The thermal and solutal stratifications at the surface are also accounted. The relevant nonlinear ordinary differential systems after using appropriate transformations are solved for the solutions with the homotopy analysis method (HAM). The effects of various involved variables on the temperature, velocity, concentration, skin friction, mass transfer rate, and heat transfer rate are discussed through graphs. From the obtained results, decreasing tendencies for the radial, axial, and tangential velocities are observed. Temperature is a decreasing function of the Reynolds number, thermal relaxation parameter, and Prandtl number. Moreover, the mass diffusivity decreases with the Schmidt number.

Key words: CML model, strong coupling, spatiotemporal chaos, thermal and solutal stratification, second-grade liquid, Cattaneo-Christov double diffusion, rotating stretchable disk

2010 MSC Number:

75A10

T. HAYAT, S. AHMAD, M. I. KHAN, A. ALSAEDI. Investigation of generalized Fick's and Fourier's laws in the second-grade fluid flow. Applied Mathematics and Mechanics (English Edition), 2018, 39(11): 1617-1630.

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