Reiner-Rivlin nanofluid over a rotating disk flow

Abstract

Background and objectiveNon-Newtonian (Reiner-Rivlin) nanofluid is novel prospective in various biology and biomedical (medicine) engineering processes and in many other biological science. In addition, various biological liquids, such as saliva, synovial liquid, blood have non-Newtonian behavior and can demonstrate important viscoelastic characteristics. This treatise elucidates broad feature of cavitation in non-Newtonian liquids and bubble dynamics and applies them to the fields of bioengineering and biomedicine. In view of such biomedical and bioengineering applications the aim of this paper is to discuss the hydromagnetic flow of Reiner-Rivlin nanomaterial subject to a rotating disk is addressed. Disk rotates with constant angular frequency about vertical axis. Reiner’s equation of a general viscous fluid differs from the Navier’s Stokes equation by a quadratic expression describing cross-viscosity coefficient. Energy equation is obtained using thermal radiation and heat generation. Thermodynamics second law investigates the entropy. Multiple slip conditions are analyzed. Thermophoresis and random diffusion behaviors are addressed. First order reaction is also taken into account. MethodologyNonlinear systems are reduced to dimensionless system by employing similarity transformation. ND-solve procedure is implemented on Mathematics software for the computation of nonlinear differential system. ResultsGraphical representation of velocity, temperature and concentration are obtained. Entropy generation has been emphasized. Velocity has decaying trends for magnetic variable. Random diffusion variable have opposite trends for concentration and temperature. An intensification in thermal slip variable reduces temperature.